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	<entry>
		<id>https://www.conservapedia.com/index.php?title=Talk:Integral&amp;diff=734820</id>
		<title>Talk:Integral</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Talk:Integral&amp;diff=734820"/>
		<updated>2009-12-18T23:52:38Z</updated>

		<summary type="html">&lt;p&gt;Heysus: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This page is in need of serious revision. Someone who isn't already familiar with integral calculus would find this section extremely opaque. Someone with a solid understanding of calculus should come in and explain, in clearer language, the geometric meaning behind the integral and provide a picture of a Riemann sum. I can't do everything here.--[[User:Mathoreilly|Mathoreilly]] 13:40, 2 July 2008 (EDT)&lt;br /&gt;
&lt;br /&gt;
:I am going to make some serious changes to this page.  The definition of the Riemann integral does not even make sense as it is written.  I'll post something in a few days.&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Integral&amp;diff=734819</id>
		<title>Integral</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Integral&amp;diff=734819"/>
		<updated>2009-12-18T23:50:35Z</updated>

		<summary type="html">&lt;p&gt;Heysus: typo&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Template:Math-h}}&lt;br /&gt;
&lt;br /&gt;
An '''integral''' is a mathematical construction used in [[calculus]] to represent the area of a region in a plane bounded by the graph of a [[function]] in one [[real]] variable. [[Definite integral]]s use the following notation: &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_a^b f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where ''a'' and ''b'' represent the lower and upper bounds of the [[interval]] being integrated over, ''f(x)'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral.&lt;br /&gt;
&lt;br /&gt;
[[Image:Definiteintegralnv7.gif|thumb|A definite integral.]]&lt;br /&gt;
&lt;br /&gt;
[[Indefinite integral]]s use the notation&lt;br /&gt;
:&amp;lt;math&amp;gt;\int f(x) dx &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Integration==&lt;br /&gt;
===Definition===&lt;br /&gt;
If &amp;lt;math&amp;gt; f&amp;lt;/math&amp;gt; is a function of [[bounded variation]], then the [[Riemann integral]] of &amp;lt;math&amp;gt; f&amp;lt;/math&amp;gt; is defined as the limit of a [[Riemann sum]]:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int\limits_{x_1}^{x_N} f(x) dx = \lim_{dx\to 0} \sum_{i=1}^N f(x_i)*dx&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
The fact that &amp;lt;math&amp;gt; f &amp;lt;/math&amp;gt; is of bounded variation implies that the Riemann sum above converges and is independent of the choices of &amp;lt;math&amp;gt;x_1,\dots,x_N&amp;lt;/math&amp;gt;.  For integration of measurable functions which may not have bounded variation, the [[Lebesgue integral]] must be used. It is easy to see that &amp;lt;math&amp;gt;\int\limits_a^b f(x) dx&amp;lt;/math&amp;gt; is the area under the curve f(x) between the vertical line x=a and the vertical line x=b.  &amp;lt;tt&amp;gt;a&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;b&amp;lt;/tt&amp;gt; are called the ''limits'' of the integral, and &amp;lt;tt&amp;gt;f(x)&amp;lt;/tt&amp;gt; is called the ''integrand''.  This type of integral is referred to as a ''definite integral'', or an integral between definite limits.&lt;br /&gt;
&lt;br /&gt;
Indefinite integrals are related to definite integrals by the second part of the [[Fundamental Theorem of Calculus]].&lt;br /&gt;
&lt;br /&gt;
===Applications===&lt;br /&gt;
The first part of the [[Fundamental Theorem of Calculus]] states that integration is the reverse function of [[derivative|differentiation]].  Thus, if &amp;lt;math&amp;gt;\int f(x) dx = g(x)&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\frac{d}{dx}g(x) = f(x)&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Note that, because the derivative of any constant function is 0, &amp;lt;math&amp;gt;\frac{d}{dx}x^2+2 = \frac{d}{dx}x^2+3 = \frac{d}{dx}x^2 = 2x&amp;lt;/math&amp;gt;.  Therefore, &amp;lt;math&amp;gt;\int 2x dx&amp;lt;/math&amp;gt; does not simply equal x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, but rather x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; + C for any constant real number C.  The above-mentioned functions are the ''family of antiderivatives'' for 2x.&lt;br /&gt;
&lt;br /&gt;
The concept of integration can be extended to functions in more than one real variable, as well as functions defined over the [[complex numbers]].&lt;br /&gt;
&lt;br /&gt;
Integration has many physical applications.  The indefinite integral of an [[acceleration]] function with respect to time gives the [[velocity]] function defined to within a constant, while the definite integral of an acceleration function with respect to time gives the change in velocity between the upper and lower limits of integration.  Likewise, the indefinite integral of a time function of velocity with respect to time gives the position function defined to within a constant, and the definite integral of this velocity function will give the change in position between the two limits of integration.&lt;br /&gt;
&lt;br /&gt;
=== Methods of Integration ===&lt;br /&gt;
{{main|Methods of integration}}&lt;br /&gt;
There are many different ways to integrate functions. Sometimes, when it is impossible to directly integrate a function, an approximation is used, such as the Riemann integral. Or, there may be a process to integrate the function using a rule, such as with [[Integration by parts]].&lt;br /&gt;
&lt;br /&gt;
==Types of Integrals==&lt;br /&gt;
&lt;br /&gt;
There are two types of integrals.  [[Definite integral|Definite integrals]] are integrals that are evaluated over limits of integration.  [[Indefinite integral|Indefinite integrals]] are not evaluated over limits of integration.  Evaluating an indefinite integral yields the antiderivative of the integrand plus a constant of integration.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Properties of integrals==&lt;br /&gt;
&lt;br /&gt;
Integration has the following properties&amp;lt;ref&amp;gt;[http://www.sosmath.com/calculus/integ/integ02/integ02.html Properties of Integrals]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Additive Distribution&amp;lt;/h3&amp;gt;&lt;br /&gt;
If an integral contains two functions added together, it may be rewritten as two separate integrals, each containing one function.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}(f(x)+g(x))dx=\int_{a}^{b}f(x)dx+\int_{a}^{b}g(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Constant Multiplicative Distribution&amp;lt;/h3&amp;gt;&lt;br /&gt;
If an integral contains a function multiplied by a constant, it may be rewritten as the constant times the integral of the function.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}cf(x)dx=c\int_{a}^{b}f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Area&amp;lt;/h3&amp;gt;&lt;br /&gt;
Any integral that contains the same upper and lower bounds is equal to zero.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{a}f(x)dx=0&amp;lt;/math&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Separation&amp;lt;/h3&amp;gt;&lt;br /&gt;
An integral may be rewritten as the sum of two integrals with adjacent bounds.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}f(x)dx=\int_{a}^{c}f(x)dx+\int_{c}^{b}f(x)dx&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;c\in(a,b)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Additive Inversion&amp;lt;/h3&amp;gt;&lt;br /&gt;
Any integral is equal to the additive inverse of the same integral with reversed upper and lower bounds.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}f(x)dx=-\int_{b}^{a}f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Antiderivative vs Integration==&lt;br /&gt;
There are important differences between the anti-derivative and integration. An anti-derivative of a function &amp;lt;math&amp;gt;f(x)&amp;lt;/math&amp;gt; is a function &amp;lt;math&amp;gt;F(x)&amp;lt;/math&amp;gt; such that,&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\frac{d}{dx}F(x)=f(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The integral of a function can be evaluated using its antiderivative,&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_a^b f(x)dx=F(b)-F(a)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This works for the kind of functions encountered in late high school and early university mathematics. It is, however, an incomplete method. For example one cannot write the anti-derivative of &amp;lt;math&amp;gt;e^{x^{2}}&amp;lt;/math&amp;gt; in terms of familiar functions (such as [[trigonometric function]]s, [[exponential]]s, and [[logarithm]]s) and function operations.&lt;br /&gt;
&lt;br /&gt;
==Riemann integral==&lt;br /&gt;
{{main|Riemann Integral}}&lt;br /&gt;
As a geometric interpretation of the integral of the [[area]] under a curve, the Riemann integral consists of dividing the area under the curve of the function into slices. The [[domain]] of the function is partioned into N segments of width &amp;lt;math&amp;gt;\frac{b-a}{N}&amp;lt;/math&amp;gt;. The height of the segment is dependent on which side of the rectangle is taken. The lower sum takes the lower side of the rectangle, the upper sum the higher side of the rectangle. In the [[limit]] of &amp;lt;math&amp;gt;N\rightarrow\infty&amp;lt;/math&amp;gt; these two [[series (mathematics)|series]] become the integral. If they approach the same value then the integral exists, otherwise it is undefined.&lt;br /&gt;
&lt;br /&gt;
===Simpson's Rule===&lt;br /&gt;
{{Main|Simpson's rule}}&lt;br /&gt;
'''Simpson's Rule''' is an extension of the Riemann integral. Instead of using shapes such as rectangles or trapezoids, Simpson's Rule allows for the use of parabolas or other higher order polynomials to approximate integrals.&lt;br /&gt;
&lt;br /&gt;
==Multiple integrals==&lt;br /&gt;
Multiple integrals are integrals extended to higher dimensions.  Just like a definite integral gives the area under a 2-dimensional function, a double integral gives the volume under a three-dimensional function, and a triple integral gives the four-dimensional volume under a four-dimensional function.  An ordinary integral is integrated over a single variable, such as x; similarly, a double integral is integrated over a two-dimensional area, usually written A; and a triple integral is integrated over a three-dimensional volume, usually written V.&lt;br /&gt;
:A double integral: &amp;lt;math&amp;gt;\iint\limits_D f(x,y) dA&amp;lt;/math&amp;gt;&lt;br /&gt;
:A triple integral: &amp;lt;math&amp;gt;\iiint\limits_V f(x,y,z) dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Fubini's Theorem]] states that, for double integrals,&lt;br /&gt;
:&amp;lt;math&amp;gt;\iint\limits_D f(x,y) dA = \int\limits_{y_0}^{y_N} \int\limits_{x_0}^{x_N} f(x,y) dx dy&amp;lt;/math&amp;gt;&lt;br /&gt;
and for triple integrals,&lt;br /&gt;
:&amp;lt;math&amp;gt;\iiint\limits_V f(x,y,z) dV = \int\limits_{z_0}^{z_N} \int\limits_{y_0}^{y_N} \int\limits_{x_0}^{x_N} f(x,y) dx dy dz&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
These functions can be integrated with respect to the variables x, y, and z in any order.  For example, the double integral above is also equivalent to &amp;lt;math&amp;gt;\int\limits_{x_0}^{x_N} \int\limits_{y_0}^{y_N} f(x,y) dy dx&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==Lebesgue Integral==&lt;br /&gt;
The Lebesgue integral is usually introduced in late university or early postgraduate mathematics. It is naively described as rotating the Reimann integral, in that it is the range instead of the domain that is partitioned. An understanding of [[measure theory]] is required to understand this technique.&lt;br /&gt;
&lt;br /&gt;
The Lebesgue integral is defined for every function for which the Riemann integral is defined, as well as for an even larger class of functions: this possibility of integrating functions which are not Riemann integrable is a large part of the motivation for the Lebesgue theory.  A typical example of a function which is Lebesgue integrable but not Riemann integrable is the [[characteristic function]] of the [[rational number|rationals]], &amp;lt;math&amp;gt;\chi_{\mathbb Q}&amp;lt;/math&amp;gt;, defined by&lt;br /&gt;
::&amp;lt;math&amp;gt;\chi_{\mathbb Q}(x) =&lt;br /&gt;
\begin{cases}&lt;br /&gt;
  1 &amp;amp; \mbox{if } x \in \mathbb Q, \\&lt;br /&gt;
  0 &amp;amp; \mbox{if } x \notin Q&lt;br /&gt;
\end{cases}&amp;lt;/math&amp;gt;.&lt;br /&gt;
Because the rationals are only countable, this function is zero &amp;quot;almost everywhere&amp;quot;: there are far more irrationals than rationals, and the function is &amp;lt;math&amp;gt;0&amp;lt;/math&amp;gt; at all of these.  Thus we would expect that &lt;br /&gt;
::&amp;lt;math&amp;gt;\int_0^1 \chi_{\mathbb Q}(x) \, dx = 0&amp;lt;/math&amp;gt;&lt;br /&gt;
Unfortunately, this function has so many discontinuities that its Riemann integral is not defined.  However, if we use the Lebesgue integral instead, the function is integrable as hoped, and has the expected value &amp;lt;math&amp;gt;0&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
*[[Methods of integration]]&lt;br /&gt;
*[[Definite integral]]&lt;br /&gt;
*[[Indefinite integral]]&lt;br /&gt;
===External Links===&lt;br /&gt;
*[http://mathworld.wolfram.com/Integral.html Integrals - Wolfram MathWorld]&lt;br /&gt;
*[http://www.relativitycalculator.com/mathematical_references.shtml Some Quick and Dirty Mathematical References]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Calculus]]&lt;br /&gt;
[[Category:integration]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Integral&amp;diff=734818</id>
		<title>Integral</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Integral&amp;diff=734818"/>
		<updated>2009-12-18T23:49:10Z</updated>

		<summary type="html">&lt;p&gt;Heysus: added a bit more rigour&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Template:Math-h}}&lt;br /&gt;
&lt;br /&gt;
An '''integral''' is a mathematical construction used in [[calculus]] to represent the area of a region in a plane bounded by the graph of a [[function]] in one [[real]] variable. [[Definite integral]]s use the following notation: &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_a^b f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where ''a'' and ''b'' represent the lower and upper bounds of the [[interval]] being integrated over, ''f(x)'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral.&lt;br /&gt;
&lt;br /&gt;
[[Image:Definiteintegralnv7.gif|thumb|A definite integral.]]&lt;br /&gt;
&lt;br /&gt;
[[Indefinite integral]]s use the notation&lt;br /&gt;
:&amp;lt;math&amp;gt;\int f(x) dx &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Integration==&lt;br /&gt;
===Definition===&lt;br /&gt;
If &amp;lt;math&amp;gt; f&amp;lt;/math&amp;gt; is a function of [[bounded variation]], then the [[Riemann integral]] of &amp;lt;math&amp;gt; f&amp;lt;/math&amp;gt; is defined as the limit of a [[Riemann sum]]:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int\limits_{x_i}^{x_N} f(x) dx = \lim_{dx\to 0} \sum_{i=1}^N f(x_i)*dx&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
The fact that &amp;lt;math&amp;gt; f &amp;lt;/math&amp;gt; is of bounded variation implies that the Riemann sum above converges and is independent of the choices of &amp;lt;math&amp;gt;x_1,\dots,x_N&amp;lt;/math&amp;gt;.  For integration of measurable functions which may not have bounded variation, the [[Lebesgue integral]] must be used. It is easy to see that &amp;lt;math&amp;gt;\int\limits_a^b f(x) dx&amp;lt;/math&amp;gt; is the area under the curve f(x) between the vertical line x=a and the vertical line x=b.  &amp;lt;tt&amp;gt;a&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;b&amp;lt;/tt&amp;gt; are called the ''limits'' of the integral, and &amp;lt;tt&amp;gt;f(x)&amp;lt;/tt&amp;gt; is called the ''integrand''.  This type of integral is referred to as a ''definite integral'', or an integral between definite limits.&lt;br /&gt;
&lt;br /&gt;
Indefinite integrals are related to definite integrals by the second part of the [[Fundamental Theorem of Calculus]].&lt;br /&gt;
&lt;br /&gt;
===Applications===&lt;br /&gt;
The first part of the [[Fundamental Theorem of Calculus]] states that integration is the reverse function of [[derivative|differentiation]].  Thus, if &amp;lt;math&amp;gt;\int f(x) dx = g(x)&amp;lt;/math&amp;gt;, then &amp;lt;math&amp;gt;\frac{d}{dx}g(x) = f(x)&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Note that, because the derivative of any constant function is 0, &amp;lt;math&amp;gt;\frac{d}{dx}x^2+2 = \frac{d}{dx}x^2+3 = \frac{d}{dx}x^2 = 2x&amp;lt;/math&amp;gt;.  Therefore, &amp;lt;math&amp;gt;\int 2x dx&amp;lt;/math&amp;gt; does not simply equal x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, but rather x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; + C for any constant real number C.  The above-mentioned functions are the ''family of antiderivatives'' for 2x.&lt;br /&gt;
&lt;br /&gt;
The concept of integration can be extended to functions in more than one real variable, as well as functions defined over the [[complex numbers]].&lt;br /&gt;
&lt;br /&gt;
Integration has many physical applications.  The indefinite integral of an [[acceleration]] function with respect to time gives the [[velocity]] function defined to within a constant, while the definite integral of an acceleration function with respect to time gives the change in velocity between the upper and lower limits of integration.  Likewise, the indefinite integral of a time function of velocity with respect to time gives the position function defined to within a constant, and the definite integral of this velocity function will give the change in position between the two limits of integration.&lt;br /&gt;
&lt;br /&gt;
=== Methods of Integration ===&lt;br /&gt;
{{main|Methods of integration}}&lt;br /&gt;
There are many different ways to integrate functions. Sometimes, when it is impossible to directly integrate a function, an approximation is used, such as the Riemann integral. Or, there may be a process to integrate the function using a rule, such as with [[Integration by parts]].&lt;br /&gt;
&lt;br /&gt;
==Types of Integrals==&lt;br /&gt;
&lt;br /&gt;
There are two types of integrals.  [[Definite integral|Definite integrals]] are integrals that are evaluated over limits of integration.  [[Indefinite integral|Indefinite integrals]] are not evaluated over limits of integration.  Evaluating an indefinite integral yields the antiderivative of the integrand plus a constant of integration.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Properties of integrals==&lt;br /&gt;
&lt;br /&gt;
Integration has the following properties&amp;lt;ref&amp;gt;[http://www.sosmath.com/calculus/integ/integ02/integ02.html Properties of Integrals]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Additive Distribution&amp;lt;/h3&amp;gt;&lt;br /&gt;
If an integral contains two functions added together, it may be rewritten as two separate integrals, each containing one function.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}(f(x)+g(x))dx=\int_{a}^{b}f(x)dx+\int_{a}^{b}g(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Constant Multiplicative Distribution&amp;lt;/h3&amp;gt;&lt;br /&gt;
If an integral contains a function multiplied by a constant, it may be rewritten as the constant times the integral of the function.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}cf(x)dx=c\int_{a}^{b}f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Area&amp;lt;/h3&amp;gt;&lt;br /&gt;
Any integral that contains the same upper and lower bounds is equal to zero.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{a}f(x)dx=0&amp;lt;/math&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Separation&amp;lt;/h3&amp;gt;&lt;br /&gt;
An integral may be rewritten as the sum of two integrals with adjacent bounds.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}f(x)dx=\int_{a}^{c}f(x)dx+\int_{c}^{b}f(x)dx&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;c\in(a,b)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;h3&amp;gt;Additive Inversion&amp;lt;/h3&amp;gt;&lt;br /&gt;
Any integral is equal to the additive inverse of the same integral with reversed upper and lower bounds.&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_{a}^{b}f(x)dx=-\int_{b}^{a}f(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Antiderivative vs Integration==&lt;br /&gt;
There are important differences between the anti-derivative and integration. An anti-derivative of a function &amp;lt;math&amp;gt;f(x)&amp;lt;/math&amp;gt; is a function &amp;lt;math&amp;gt;F(x)&amp;lt;/math&amp;gt; such that,&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\frac{d}{dx}F(x)=f(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The integral of a function can be evaluated using its antiderivative,&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\int_a^b f(x)dx=F(b)-F(a)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This works for the kind of functions encountered in late high school and early university mathematics. It is, however, an incomplete method. For example one cannot write the anti-derivative of &amp;lt;math&amp;gt;e^{x^{2}}&amp;lt;/math&amp;gt; in terms of familiar functions (such as [[trigonometric function]]s, [[exponential]]s, and [[logarithm]]s) and function operations.&lt;br /&gt;
&lt;br /&gt;
==Riemann integral==&lt;br /&gt;
{{main|Riemann Integral}}&lt;br /&gt;
As a geometric interpretation of the integral of the [[area]] under a curve, the Riemann integral consists of dividing the area under the curve of the function into slices. The [[domain]] of the function is partioned into N segments of width &amp;lt;math&amp;gt;\frac{b-a}{N}&amp;lt;/math&amp;gt;. The height of the segment is dependent on which side of the rectangle is taken. The lower sum takes the lower side of the rectangle, the upper sum the higher side of the rectangle. In the [[limit]] of &amp;lt;math&amp;gt;N\rightarrow\infty&amp;lt;/math&amp;gt; these two [[series (mathematics)|series]] become the integral. If they approach the same value then the integral exists, otherwise it is undefined.&lt;br /&gt;
&lt;br /&gt;
===Simpson's Rule===&lt;br /&gt;
{{Main|Simpson's rule}}&lt;br /&gt;
'''Simpson's Rule''' is an extension of the Riemann integral. Instead of using shapes such as rectangles or trapezoids, Simpson's Rule allows for the use of parabolas or other higher order polynomials to approximate integrals.&lt;br /&gt;
&lt;br /&gt;
==Multiple integrals==&lt;br /&gt;
Multiple integrals are integrals extended to higher dimensions.  Just like a definite integral gives the area under a 2-dimensional function, a double integral gives the volume under a three-dimensional function, and a triple integral gives the four-dimensional volume under a four-dimensional function.  An ordinary integral is integrated over a single variable, such as x; similarly, a double integral is integrated over a two-dimensional area, usually written A; and a triple integral is integrated over a three-dimensional volume, usually written V.&lt;br /&gt;
:A double integral: &amp;lt;math&amp;gt;\iint\limits_D f(x,y) dA&amp;lt;/math&amp;gt;&lt;br /&gt;
:A triple integral: &amp;lt;math&amp;gt;\iiint\limits_V f(x,y,z) dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Fubini's Theorem]] states that, for double integrals,&lt;br /&gt;
:&amp;lt;math&amp;gt;\iint\limits_D f(x,y) dA = \int\limits_{y_0}^{y_N} \int\limits_{x_0}^{x_N} f(x,y) dx dy&amp;lt;/math&amp;gt;&lt;br /&gt;
and for triple integrals,&lt;br /&gt;
:&amp;lt;math&amp;gt;\iiint\limits_V f(x,y,z) dV = \int\limits_{z_0}^{z_N} \int\limits_{y_0}^{y_N} \int\limits_{x_0}^{x_N} f(x,y) dx dy dz&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
These functions can be integrated with respect to the variables x, y, and z in any order.  For example, the double integral above is also equivalent to &amp;lt;math&amp;gt;\int\limits_{x_0}^{x_N} \int\limits_{y_0}^{y_N} f(x,y) dy dx&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==Lebesgue Integral==&lt;br /&gt;
The Lebesgue integral is usually introduced in late university or early postgraduate mathematics. It is naively described as rotating the Reimann integral, in that it is the range instead of the domain that is partitioned. An understanding of [[measure theory]] is required to understand this technique.&lt;br /&gt;
&lt;br /&gt;
The Lebesgue integral is defined for every function for which the Riemann integral is defined, as well as for an even larger class of functions: this possibility of integrating functions which are not Riemann integrable is a large part of the motivation for the Lebesgue theory.  A typical example of a function which is Lebesgue integrable but not Riemann integrable is the [[characteristic function]] of the [[rational number|rationals]], &amp;lt;math&amp;gt;\chi_{\mathbb Q}&amp;lt;/math&amp;gt;, defined by&lt;br /&gt;
::&amp;lt;math&amp;gt;\chi_{\mathbb Q}(x) =&lt;br /&gt;
\begin{cases}&lt;br /&gt;
  1 &amp;amp; \mbox{if } x \in \mathbb Q, \\&lt;br /&gt;
  0 &amp;amp; \mbox{if } x \notin Q&lt;br /&gt;
\end{cases}&amp;lt;/math&amp;gt;.&lt;br /&gt;
Because the rationals are only countable, this function is zero &amp;quot;almost everywhere&amp;quot;: there are far more irrationals than rationals, and the function is &amp;lt;math&amp;gt;0&amp;lt;/math&amp;gt; at all of these.  Thus we would expect that &lt;br /&gt;
::&amp;lt;math&amp;gt;\int_0^1 \chi_{\mathbb Q}(x) \, dx = 0&amp;lt;/math&amp;gt;&lt;br /&gt;
Unfortunately, this function has so many discontinuities that its Riemann integral is not defined.  However, if we use the Lebesgue integral instead, the function is integrable as hoped, and has the expected value &amp;lt;math&amp;gt;0&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
*[[Methods of integration]]&lt;br /&gt;
*[[Definite integral]]&lt;br /&gt;
*[[Indefinite integral]]&lt;br /&gt;
===External Links===&lt;br /&gt;
*[http://mathworld.wolfram.com/Integral.html Integrals - Wolfram MathWorld]&lt;br /&gt;
*[http://www.relativitycalculator.com/mathematical_references.shtml Some Quick and Dirty Mathematical References]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Calculus]]&lt;br /&gt;
[[Category:integration]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Fox_News_Channel&amp;diff=733761</id>
		<title>Fox News Channel</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Fox_News_Channel&amp;diff=733761"/>
		<updated>2009-12-17T01:44:48Z</updated>

		<summary type="html">&lt;p&gt;Heysus: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:FNC logo.jpg|thumb|right|Fox News Logo]]&lt;br /&gt;
&lt;br /&gt;
The '''Fox News Channel''' is a [[United States]] [[cable]] and [[satellite]] [[news]] channel. It is part of the Fox Television Stations Group, a subsidiary of [[Australia|Australian]]-born media mogul [[Rupert Murdoch]]'s [[News Corporation]]. [[Roger Ailes]] was named Chairman of the Fox Television Stations Group on August 15, 2005.  Fox news provides a fair and balanced perspective and is therefore constantly attacked by the other [[liberal]] networks which are more interested in spewing propaganda.&lt;br /&gt;
&lt;br /&gt;
==Founding==&lt;br /&gt;
Fox News was started in 1996 by Murdoch and Roger Ailes. The two of them perceived a need for a news organization that offered more balanced reporting, one where the facts from all sides would be presented. Main-stream media &amp;quot;Political Correctness&amp;quot; was banished, with the news [[anchor]]s calling [[terrorist]]s what they were, (terrorists), instead of referring to them as &amp;quot;militants.&amp;quot;  As of February, 2007, polls show that over 20% of Americans say their main source of news is the Fox News Channel.&lt;br /&gt;
&lt;br /&gt;
Fox News uses the slogan &amp;quot;Fair &amp;amp; Balanced,&amp;quot; carries bipartisan shows like [[Hannity and Colmes]], and daily guest pundits from all sides of the [[political spectrum]]. Fox News also is non-hostile to conservative and [[Christian]] values, viewpoints, spokesmen, and ideas. Fox News has gained the reputation for reporting the news in an unbiased manner and then allowing the viewer to decide; &amp;quot;We Report, You Decide&amp;quot; is another of their on-air slogans.&lt;br /&gt;
&lt;br /&gt;
Fox News has dominated the [[ratings]] of other cable news outlets.&amp;lt;ref&amp;gt;[http://www.latimes.com/news/opinion/la-oe-anderson4oct04,0,2195035.story?coll=la-opinion-center]&amp;lt;/ref&amp;gt; Launched by media [[tycoon]] Rupert Murdoch and former political consultant Roger Ailes as a refuge for viewers fed up with real or perceived liberal bias everywhere in the so-called &amp;quot;[[mainstream media]]&amp;quot;, Fox is the undisputed ratings champion of cable news.  It's been trouncing [[CNN]], [[MSNBC]] and [[CNBC]] for years, and it quite often draws a much larger audience share than all competitors, combined.&lt;br /&gt;
&lt;br /&gt;
==Fair and Balanced==&lt;br /&gt;
[[Image:Fair_balanced.jpg‎ |thumb|left|Fair And Balanced Logo]]&lt;br /&gt;
[[Liberal]] critics have been known to complain about the &amp;quot;Fair &amp;amp; Balanced&amp;quot; slogan.  Former President [[Bill Clinton]] exploded at ''Fox News Sunday'' anchor [[Chris Wallace]] in September of 2006, accusing him of &amp;quot;a nice little conservative hit job&amp;quot; after being lightly pressed by Wallace about his record on fighting [[Al Qaeda]].   Democratic politicians and advocates have relentlessly attacked the cable network, sometimes accusing it of being a Republican [[propaganda mill]].  Former Vice-President and environmentalist [[Al Gore]] has likened Fox to a right-wing &amp;quot;[[fifth column]].&amp;quot;  Groups, such as [[MoveOn.org]], funded a classic [[schlockumentary]] entitled ''[[Outfoxed]]'', which purports to expose the channel's 'nefarious Republican agenda'.  Some have referred to FOX News as &amp;quot;the propaganda arm of the Republican Party&amp;quot; or &amp;quot;Faux News.&amp;quot; In a grandstanding gesture of political theater the group unsuccessfully petitioned the [[Federal Trade Commission]] to stop Fox's from using its slogan as &amp;quot;deceptive advertising&amp;quot;. It was unanimously rejected. &amp;lt;ref&amp;gt;[http://www.showbizdata.com/news/36127/FTC-REJECTS-COMPLAINTS-AGAINST-FOX-NEWS  FTC: &amp;quot;It's best to ignore nuts&amp;quot;]&amp;lt;/ref&amp;gt; Fox News spokesman Rob Zimmerman told today's (Tuesday) Wall Street Journal: &amp;quot;If they can attack Fox News to this extreme, ''then all news organizations are at risk to be targeted by similar attacks. ... It's best to ignore nuts.&amp;quot;'' &lt;br /&gt;
&lt;br /&gt;
A recent comprehensive study by [[UCLA]] political scientist Tim Groseclose and University of Missouri-Columbia economics professor Jeffrey Milyo found [[Brit Hume]]'s ''Special Report'' — Fox's most straightforward news show — more centrist than any of the three major networks' evening newscasts, all of which are liberal. &amp;lt;ref&amp;gt;[http://rcp.missouri.edu/articles/milyo_media.html]&amp;lt;/ref&amp;gt; The program is a model of smart news television. &lt;br /&gt;
&lt;br /&gt;
And although it's true that the Fox's opinion shows (as opposed to its news shows) are, as they're supposed to be, frequently bombastic and opinionated, it's equally true that Fox's biggest super-star, [[Bill O'Reilly]] is not a mainstream Republican, but a registered [[Independent]] who sides with conservatives. He regularly charges the oil companies with [[price-gouging]] and attacks big business for quashing the little guy. [[Greta Van Susteren]]'s politics are unclear, as she mostly covers the [[crime]]-of-the-day stories. [[Geraldo Rivera]] is traditionally liberal on most issues, with the exception of being a strong supporter of the military and stiff penalties for [[sex offender]]s. &lt;br /&gt;
&lt;br /&gt;
Some liberal commentaors, such as news analyst [[Marvin Kalb]], and [[Eleanor Clift]], are affiliated with the channel. In general, Fox News is closer to mainstream America than [[CBS]], [[ABC]], [[NBC]] or [[CNN]], its founding mission.&lt;br /&gt;
&lt;br /&gt;
Conservatives have criticism for Fox. Their 'Fair and Balanced' motto allows [[liberal]] [[propaganda]], lies, deceit, and half-truths to gain an audience. In reality, Fox was judged to actually provide a more &amp;quot;fair and balanced&amp;quot; coverage in the 2008 Presidential race than all three MSM networks, who had a decidedly pro-Obama tilt, a study by the ''Center for Media and Public Affairs''. &amp;lt;ref&amp;gt;[http://www.cmpa.com/pdf/08summer.pdf Center for Media and Public Affairs: ''How TV News Has Covered McCain, Obama and Hillary'']&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Ratings Dominance ==&lt;br /&gt;
Fox News Channel was the 2nd highest rated cable channel on all of television during the first quarter of 2009 in prime time Total Viewers. CNN was 17th and MSNBC 24th for the first three months of the year. FNC beat CNN and MSNBC combined and gained the most compared to the first quarter of 2008, up 24%.  2009's first quarter was FNC's 3rd highest rated quarter in prime time in the network's history — just behind Q4 '08 and Q3 '05. In prime time, ages 25-54 demo, and in total day in both categories, FNC grew more year-to-year than CNN and MSNBC combined. FNC had nine of the top 10 programs on cable news in Total Viewers. &lt;br /&gt;
&lt;br /&gt;
[[Bill O'Reilly|The O'Reilly Factor]] has now been #1 on cable news for 100 consecutive months, up 27% in Total Viewers year-over-year. &lt;br /&gt;
&lt;br /&gt;
[[Glenn Beck]] has increased the 5pmET time period 90% in Total Viewers and 115% in the demo vs. Q1 '08, ''and is the fastest growing program in cable news for March''. Special Report with Bret Baier is up 39% in Total Viewers and 41% in the demo. [[Sean Hannity|&amp;quot;Hannity&amp;quot;]] is up 36% in Total Viewers and up 35% in the demo since going solo for the hour.&lt;br /&gt;
&lt;br /&gt;
Those three new programs beat CNN and MSNBC ''combined'' in total viewers during their respective time slots.&lt;br /&gt;
&lt;br /&gt;
On the Record with [[Greta Van Susteren]] is up 55% in total viewers and 75% in the demo. Your World with Neil Cavuto is up 60% in Total Viewers and 102% in the demo. Glenn Beck, is up 212% in the demo and up 128% in total viewers. &amp;lt;ref&amp;gt;[http://www.mediabistro.com/tvnewser/ratings/april_ratings_fnc_beats_cnn_and_msnbc_combined_115179.asp Media Bistro: April Ratings: FNC Beats CNN and MSNBC Combined]&lt;br /&gt;
&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Anti-elitist ==&lt;br /&gt;
Conservatives argue that Fox's real ethos is not Republican or conservative, but anti-[[elitist]] — a major reason it connects with so many Americans and annoys so many coastal elites. &amp;quot;There's a whole country that elitists will never acknowledge,&amp;quot; Ailes once observed. &amp;quot;What people resent deeply out there are those in the 'blue states' thinking they're smarter.&amp;quot;  This anti-elitism shows itself in Fox's pro-U.S. stance in covering the [[Afghanistan]] and [[Iraq war]]s and its broadcasters' use of terms such as &amp;quot;terrorist&amp;quot; instead of the politically correct &amp;quot;militant&amp;quot; to refer to terrorists. Since the [[Vietnam War]] era, mainstream [[journalist]]s have tended to see such blunt language and side-taking as unsophisticated, a betrayal of journalistic [[objectivity]], or perhaps their own ingrained biases against government in general.&lt;br /&gt;
&lt;br /&gt;
Another aspect of Fox's anti-elitism is the treatment of [[evangelical]] and [[fundamentalist Christian]]s with respect, far from the normal liberal media's depiction as as lunatics or extremists. &amp;quot;We regularly have on the [[Rev. Franklin Graham]], [[Dr. James Dobson]] and other religious leaders, just as we put on [[Pat Ireland]] and Eleanor Clift,&amp;quot; Ailes said, continuing,  ''&amp;quot;Most Americans believe in God and have that as their foundation in life. So why shouldn't we have as guests people that they like, respect and want to hear from?&amp;quot; '' Ailes said he didn't get &amp;quot;too worked up&amp;quot; by a [[Pew Foundation]] study that showed that Fox has more Republican viewers than CNN, CNBC or MSNBC and that his reporters and anchors insert their opinions into stories far more than competitors do. Numbers might have something to do with it: Fox is beating the combined audience of the other three. But Ailes dismissed Pew as a &amp;quot;liberal [[lobbyist|lobbying]] organization.&amp;quot; He said, &amp;quot;Most polls today are not taken to provide information to the public but to get press for the organization taking the polls. I took a poll of Pew, and 98% of my organization found that they were biased&amp;quot;, Ailes said with a wink. &amp;lt;ref&amp;gt;http://www.usatoday.com/life/columnist/mediamix/2005-04-06-media-mix_x.htm&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In response, Project director Tom Rosenstiel said the study &amp;quot;was not a poll. It was a content analysis designed by a four-university research team and executed at the [[University of Alabama]].&amp;quot; ''One plus for Fox, he said, was that researchers found Fox News stories were more forthcoming about sourcing than their cable rivals.'' &amp;lt;ref&amp;gt;http://www.usatoday.com/life/columnist/mediamix/2005-04-06-media-mix_x.htm&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Fox Versus Fringe Views ==&lt;br /&gt;
&amp;quot;What really frustrates liberals about Fox, though, is simply that, along with [[talk radio]] and the conservative [[blogosphere]], it has helped shatter the left's near-monopoly on news and information. Fox's opinion-driven programming gives conservatives and liberals a chance to get a fair hearing for their ideas. But Democratic politicians and activists who go on Fox also must defend their views, often against tough questioning, something that happens less often on the networks, where most journalists are left-of-center, survey after survey has shown&amp;quot;, said columnist [[Brian Anderson]]. &amp;quot;Even more significant, Fox came on the scene a decade ago as a professional news organization that could define and report news as something different from what the elite consensus says it is. To take one of many examples, the corruption of the [[United Nations]]' [[oil-for-food]] initiative in [[Iraq]], initially downplayed by the mainstream media because of their sympathy for internationalism, was uncovered — deemed newsworthy — on Fox.&amp;quot; &lt;br /&gt;
&lt;br /&gt;
All this wouldn't matter if Fox News wasn't so influential. But it is. According to the Pew Research Center, more than 20% of Americans now claim to get news from it, and lots of them (37%) are Democrats or independents. The network's success has also sparked a &amp;quot;Fox effect,&amp;quot; leading some competitors to become more open to right-of-center opinions: MSNBC's &amp;quot;Scarborough Country,&amp;quot; hosted by former Republican congressman [[Joe Scarborough]], is a prime example. Until a few years ago, Democrats never had to deal with all these mediatized conservatives. &amp;lt;ref&amp;gt;http://www.latimes.com/news/opinion/la-oe-anderson4oct04,0,2195035.story?coll=la-opinion-center&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Ailes said Fox News has no agenda. His charge to his reporters and anchors is simple: &amp;quot;If you make a mistake, get on the air as fast as you can and admit it. ... Do your homework. Make sure you reach out to a point of view you don't agree with to be sure you have some balance in your piece, because journalists, despite the public perception, are not empty-headed fools. They actually come to the job with some ideas and biases.&amp;quot; When asked whether the media have a &amp;quot;conscious bias,&amp;quot; Ailes said: &amp;quot;I don't know whether it's conscious or not. I think people who are biased to the left and right are by and large honest people who bring their life experience to whatever their beliefs are. I don't think there's some conspiracy of bias to the left, ''but I do think that [[New York]] and [[Los Angeles]] have different views than many people that I know from other parts of the country.&amp;quot;'' &amp;lt;ref&amp;gt;http://www.usatoday.com/life/columnist/mediamix/2005-04-06-media-mix_x.htm&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Fox Versus Obama ==&lt;br /&gt;
[[Barack Hussein Obama]] has thin skin when it comes to criticism of his policies. The entire [[mainstream media]] has thrown its support to Obama and refuses to questions his policies. Fox News is the lone station that will criticize Obama fairly. Obama said, &amp;lt;ref&amp;gt;[http://www.newsmax.com/insidecover/media_critic_fox_news/2009/06/19/227121.html Media Critic: Fox Only Press Doing Its Job] NewsMax, June 19, 2009&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{cquote|  “I’ve got one television station that is entirely devoted to attacking my administration…That’s a pretty big megaphone. You’d be hard pressed if you watched the entire day to find a positive story about me on that front.” }}&lt;br /&gt;
&lt;br /&gt;
Media critic David Zurawik said “Thank goodness at least one TV outlet, Fox, is questioning Team Obama as it pushes for the kind of massive change in American life not seen since the era of Franklin Roosevelt,” and &amp;quot;...ABC, NBC, MSNBC, CNBC and the others allow their news operations to be used by the White House for partisan political reasons.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Roger Ailes ==&lt;br /&gt;
[[Image:Rogerailes_1.jpg‎ |thumb|right|300px|Roger Ailes, Fox News CEO]]&lt;br /&gt;
[http://www.foxnews.com/story/0,2933,205966,00.html This is a transcript] of Ailes speaking to the Television Critics Association, which will be enlightening to readers digging into the Fox take on reporting and its reaction to controversy about its mission.  &lt;br /&gt;
&lt;br /&gt;
On November 20, 2008, [[Roger Ailes]], who now holds the titles of Chairman and Chief Executive Officer, FOX News and Chairman of FOX Television Stations, signed a new five year contract with News Corporation, it was announced by Rupert Murdoch, Chairman and Chief Executive Officer. &amp;lt;ref&amp;gt;[http://www.mediabistro.com/tvnewser/fnc/roger_ailes_signs_new_5year_deal_with_news_corp_101312.asp Ailes Inks 5 Year Deal With NewsCorp]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
During Ailes' time with [[News Corporation|News Corp]], [[FNC]] passed [[CNN]] in ratings in all day parts in 2002 to become the number one news network in the country, nearing full distribution with more than 90 million subscribers. In 2007, he launched the [[Fox Business News]] which currently reaches more than 40 million homes and served as the biggest launch in cable television history. Throughout Mr. Ailes' tenure, FOX Television Stations has increased its market share each of the last three years with all time record shares in the last two years. In addition, Fox Television Stations has expanded its local news presence by nearly 100 hours a week in a challenging economic climate.&lt;br /&gt;
&lt;br /&gt;
== Tony Snow ==&lt;br /&gt;
In April, 2006 the [[White House]] selected [[Tony Snow]], Fox News Anchorman, to be the new White House Press Secretary. &amp;quot;Snow, who in his roles as a [[pundit]] on Fox News and elsewhere has rapped Bush on several occasions, joined the White House only after extracting a promise that he would become an adviser to the president on day-to-day strategy...the former columnist will be the first outsider to become part of Bush's revamped inner circle.&amp;quot;, said the [[Washington Post]]. &amp;lt;ref&amp;gt;http://www.washingtonpost.com/wp-dyn/content/article/2006/04/26/AR2006042600558.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Snow, 50, worked most recently as host for ''Fox News Sunday, with Tony Snow'' and as host of his own radio talk show. He was a director of speech-writing for President [[George H.W. Bush]] and has worked as a [[USA Today]] columnist, Editorial Page Editor of the [[Washington Times]], deputy editorial page editor of the [[Detroit News]] and frequent substitute for radio host [[Rush Limbaugh]]. &amp;lt;ref&amp;gt;http://whitehouse.gov/news/releases/2006/04/20060426.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Bill O'Reilly==&lt;br /&gt;
The [[O'Reilly Factor]] has been the most watched cable news segment for eight years. [[Bill O'Reilly]] has interviewed Barack Obama and other high profile guests on his show.&lt;br /&gt;
:&amp;quot;FOX News destroys NBC and CNN on cable every night. We cover the news. We don't ignore it. And we don't denigrate it.&amp;quot; - Bill O'Reilly&lt;br /&gt;
Bill O'Reilly is a registered independent, but sides with Republicans on most issues, excluding several Christian causes.  Bill O'Reilly wrote the best seller &amp;quot;A Bold Fresh Piece of Humanity.&amp;quot; Like [[Sean Hannity]] and other commentators on Fox, O'Reilly's role is that of an independent contractor, expressing his own opinions, not those of Fox News, as opposed to the networks news anchors, like Sheppard Smith.&lt;br /&gt;
&lt;br /&gt;
==Red Eye==&lt;br /&gt;
It is a hybrid news / comedic satire show hosted by Greg Gutfeld. The show appears on Fox News at 3:00 a.m. on weekdays. Their ratings are remarkable for the time slot. &amp;lt;ref&amp;gt;[http://www.mediaite.com/online/red-eye-resurgence-more-demo-viewers-watch-fox-at-3am-than-cnn-at-8pm/ Red Eye Resurgence: More Demo Viewers Watch Fox At 3am Than CNN at 8pm, October 5th, 2009]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{cquote|&lt;br /&gt;
The ratings came out for September and Red Eye is up over 30% in total viewers and up 50% in the key demo (25-54) since July. They have more overall viewers than every CNBC show, every MSNBC show that is on before Hardball, most of HLN, and American Morning on CNN.}}&lt;br /&gt;
&lt;br /&gt;
==External Links==&lt;br /&gt;
*[http://www.foxnews.com/ Fox News]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist|2}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Cable TV Networks]]&lt;br /&gt;
[[Category:Conservative Media]]&lt;br /&gt;
[[Category:Conservative news organizations]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Medical_marijuana&amp;diff=733757</id>
		<title>Medical marijuana</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Medical_marijuana&amp;diff=733757"/>
		<updated>2009-12-17T01:40:06Z</updated>

		<summary type="html">&lt;p&gt;Heysus: Undo revision 733754 by OrionB (Talk) Reason: Liberal Vandalism&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Marijuana vending machine.jpg|175px|thumb|right|Marijuana vending machines have been likened to [[gumball]] machines and other candy dispensors, with an emphasis on easy, recreational use instead of responsible medical use.]]&lt;br /&gt;
'''Medical marijuana''' is [[marijuana]] used for its (supposed) analgesic or otherwise therapeutic effects (see [[Glaucoma]]).&lt;br /&gt;
&lt;br /&gt;
Critics doubt that there are any medicinal effects of marijuana, other than an overall effect sought by drug addicts. However, some studies show that Cannabidiol, a chemical compound found in marijuana, inhibits cancer cell growth in lab animals&amp;lt;ref&amp;gt;Mechoulam R., Peters M., Murillo-Rodriguez E., Hanus L.O. '''Cannabidiol - recent advances'''. &amp;lt;i&amp;gt;Chemistry &amp;amp; Biodiversity&amp;lt;/i&amp;gt;. August 2007. Vol. 4, Issue 8. Page 1678-92. pmid=17712814. doi=10.1002/cbdv.200790147&amp;lt;/ref&amp;gt;. Recent studies have shown cannabidiol to be as effective as [[atypical antipsychotics]] in treating [[schizophrenia]].&amp;lt;ref&amp;gt;Zuardi A.W., Crippa J.A.S., Hallak J.E.C., Moreira F.A., Guimarães F.S. Brazilian Journal of Medical and Biological Research [http://www.scielo.br/pdf/bjmbr/v39n4/6164.pdf Cannabidiol as an antipsychotic drug] (PDF) 2006. Vol. 39. Page 421-9. ISSN 0100-879X&amp;lt;/ref&amp;gt;, and [[marijuana]] is commonly viewed as a natural alternative to any otherwise synthetic pharmaceutical drugs. It has also been shown to increase brain cell growth &amp;lt;ref&amp;gt;[http://www.peak.sfu.ca/the-peak/2005-3/issue9/ne-mj.html science: Study shows marijuana increases brain cell growth ]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Opponents of [[drug abuse]] charge that efforts to legalize medical marijuana are intended to be a step towards complete decriminalization and generally decry marijuana as a &amp;quot;[[gateway drug]]&amp;quot;. Many supporters of &amp;quot;medical marijuana&amp;quot; use marijuana recreationally. In California, medical marijuana is even available from [[vending machine]]s,&amp;lt;ref&amp;gt;[http://www.planetc1.com/cgi-bin/n/v.cgi?c=1&amp;amp;id=1236007310 Marijuana Medicine Practices Are Hazy and Confusing], Planet Chiropratic dot com&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://www.foxnews.com/story/0,2933,326634,00.html Medical marijuana vending machines take root in LA] Fox News&amp;lt;/ref&amp;gt; similar to automated perscription dispensers at some [[pharmacies]] &amp;lt;ref&amp;gt; [http://www.scriptpro.com/products/spud/main.htm Scriptpro: Robotic Pharmaceutical Dispensing System]&amp;lt;/ref&amp;gt;, except that the legality of dispensing marijuana this way is disputed by the Drug Enforcement Agency. Additionally, the seriousness of having a marijuana vending machine for supposedly medical reasons is off-set by the presence of a Bob Marley poster in at least one location. Marley was a member of the Rastafari cult, which advocates the recreational use of the drug under the guise of &amp;quot;spiritual&amp;quot; reasons.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[category:law]]&lt;br /&gt;
[[category:medicine]]&lt;br /&gt;
[[category:health]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Sarah_Palin&amp;diff=733756</id>
		<title>Sarah Palin</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Sarah_Palin&amp;diff=733756"/>
		<updated>2009-12-17T01:36:58Z</updated>

		<summary type="html">&lt;p&gt;Heysus: Added info&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Officeholder&lt;br /&gt;
|name=Sarah Palin&lt;br /&gt;
|image=Sarah Palin.jpg&lt;br /&gt;
|party=[[Republican]]&lt;br /&gt;
|spouse=[[Todd Palin]]&lt;br /&gt;
|religion=Christian&lt;br /&gt;
|offices=&lt;br /&gt;
&lt;br /&gt;
	{{Officeholder/governor&lt;br /&gt;
	|state=Alaska&lt;br /&gt;
	|terms=December 4, 2006-July 26, 2009&lt;br /&gt;
	|preceded=[[Frank Murkowski]]&lt;br /&gt;
	|former=n&lt;br /&gt;
	|succeeded=[[Sean Parnell]]&lt;br /&gt;
	}}&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
'''Sarah Louise Heath Palin''' (pronounced pay'-lynn) (born February 11, 1964) served as the [[conservative]] [[Republican Party|Republican]] [[Governor]] of [[Alaska]] from 2006 through 2009. She is the youngest person to hold this office as well as the first woman to do so in the state's history. On July 3, 2009 Palin announced that she would resign as Governor of Alaska. &amp;lt;ref&amp;gt;http://www.newsmax.com/insidecover/palin_not_running/2009/07/03/231789.html&amp;lt;/ref&amp;gt; Executive power was transferred to [[Lieutenant Governor]] [[Sean Parnell]]. &lt;br /&gt;
Palin was Senator [[John McCain]]'s Vice Presidential running mate in the [[2008 Presidential Election]]&amp;lt;ref&amp;gt;[http://www.realclearpolitics.com/articles/2008/08/palins_vp_selection_speech.html Acceptance Speech by Palin]&amp;lt;/ref&amp;gt;, and the first woman to appear on a Republican Presidential ticket.&lt;br /&gt;
&lt;br /&gt;
She brought a [[populism|populist]] image and a record of cutting wasteful spending and reforming government to McCain's ticket.  In the summer of 2007, she was the most popular governor in America, after cutting 13% of [[Alaska]]'s budget.&amp;lt;ref&amp;gt;http://www.weeklystandard.com/Content/Public/Articles/000/000/013/851orcjq.asp&amp;lt;/ref&amp;gt;  She is strongly [[pro-life]] and a prominent spokesperson for [[special needs]] children.  She favors more competition in health care, and pushed for abolishing the [[certificate of need]] regulations that interfere with opening new medical clinics.&amp;lt;ref&amp;gt;http://www.washingtonpost.com/wp-dyn/content/article/2008/09/04/AR2008090403253.html?referrer=emailarticle&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Married for 20 years, Sarah Palin's husband was a member of the United Steelworkers Union and her eldest son (of five children) is in the [[United States Army]], having served in Iraq.  In an appearance on August 30, 2008 in Washington, Pennsylvania, she was greeted by a surprisingly large crowd as she promoted the new McCain-Palin ticket.&lt;br /&gt;
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Her memoir ''Going Rogue'' was published in November 2009, with Palin drawing unusually large crowds to book signing occasions around the country. She comments regularly on public affairs through her Facebook page, criticizing the &amp;quot;death panels&amp;quot; of the health care reform program, and praising President Obama's pro-war speech upon receiving the Nobel Peace prize in Dec. 2009.&lt;br /&gt;
&lt;br /&gt;
==Personal Background==&lt;br /&gt;
[[Image:Sarah Palin Todd Trig.jpg|thumb|right|250px|In this April 23, 2008 file photo, Alaska Gov. Sarah Palin, left, and her husband, Todd Palin, hold their baby boy Trig in Anchorage, Alaska. &amp;lt;br&amp;gt;&lt;br /&gt;
''Photo courtesy of Newsmax.com'']]&lt;br /&gt;
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Palin arrived in Alaska with her family in 1964, when her parents came to teach school in Skagway.  Palin attended Wasilla High School where her extracurricular activities included captaining the basketball team  which went on to win the state championship &amp;lt;ref&amp;gt;[http://online.wsj.com/article/SB122108935141721343.html?mod=googlenews_wsj Obama Can't Win Against Palin] Wall Street Journal, September 11, 2008&amp;lt;/ref&amp;gt; after graduating in 1982. She went on to college, after attending several institutions she received a bachelor of science degree in communications-journalism from the University of Idaho in 1987. &lt;br /&gt;
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She worked in the media and the utility industry before beginning her public service 14 years ago.&lt;br /&gt;
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Over the course of her 44 years in Alaska she has lived in Skagway, Eagle River and Wasilla. To earn money for college, Palin entered beauty pageants.&lt;br /&gt;
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She is married to [[Todd Palin]], part Yupik [[Eskimo]], who is a lifelong Alaskan, formerly worked at a non-management union job in the oil industry, and also as a commercial salmon fisherman.  He is a four-time champion of the Iron Dog, the world's longest snowmobile race. &lt;br /&gt;
&lt;br /&gt;
Sarah Palin is a [[Labor union | union]] member, a [[moose]] hunter and holds a membership in the [[NRA]].&amp;lt;ref&amp;gt;[http://elections.foxnews.com/2008/08/29/mccain-to-name-running-mate-on-friday/ McCain Names Alaska Gov. Palin as Running Mate] Fox News, August 29, 2008&amp;lt;/ref&amp;gt;  Todd and Sarah have five children together: Track, Bristol, Willow, Piper, and Trig. &lt;br /&gt;
&lt;br /&gt;
Palin has been widely praised among conservatives for acting on her [[pro-life]] beliefs in the case of her youngest son, Trig, who was diagnosed with [[Down syndrome]] in the fourth month of her pregnancy. After researching the condition, she and her husband agreed to continue to pregnancy:&lt;br /&gt;
: &amp;quot;[My husband Todd said,] we shouldn't be asking 'Why us?' We should be saying 'Well, why not us?' We've both been very vocal about being pro life. We understand that every innocent life has wonderful potential. I'm looking at him right now, and I see perfection. Yeah, he has an extra chromosome. I keep thinking, in our world, what is normal and what is perfect?&amp;quot; &amp;lt;ref&amp;gt;http://www.celebrity-babies.com/2008/05/gov-sarah-palin.html&amp;lt;/ref&amp;gt; &amp;lt;ref&amp;gt;[http://www.catholic.org/international/international_story.php?id=29242 Canadian Doctors 'Fear' Sarah Palin's Choice May Start a Trend] Catholic Online, September 11, 2008&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Trig was born on April 18, 2008, four months before his mother was announced as the vice-presidential candidate.  Palin wrote:&lt;br /&gt;
:&amp;quot;This new person in your life can help everyone put things in perspective and bind us together, and get everyone focused on what really matters ... Those who love him will think less about self and focus less on what the world tells [us] is 'normal' or 'perfect.'&amp;quot;&amp;lt;ref name=&amp;quot;people&amp;quot;&amp;gt;[[People magazine]]&amp;lt;/ref&amp;gt;&lt;br /&gt;
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:&amp;quot;It's a sign of the times to be able to do this,&amp;quot; she said. &amp;quot;I can think of so many male candidates who watched a families grow while they were in office.  There is no reason to believe a woman can't do it with a growing family. My baby will not be at all or in any sense neglected.&amp;quot;&amp;lt;ref&amp;gt;Alaska governor balances newborn's needs, official duties [http://www.usatoday.com/news/nation/2008-05-10-4082128881_x.htm]&amp;lt;/ref&amp;gt;&lt;br /&gt;
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Palin's older son, Track, serves in the U.S. Army, and was deployed to [[Iraq War|Iraq]] in September 2008. Palin says, &amp;quot;I'm proud of him but I worry.&amp;quot;&lt;br /&gt;
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In September of 2008, Palin announced that her daughter Bristol was five months pregnant. After having been given the choice, Bristol bravely chose to keep the child.  Palin stated &amp;quot;We're proud of Bristol's decision to have her baby and even prouder to become grandparents.&amp;quot;&amp;lt;ref&amp;gt;[http://news.yahoo.com/s/ap/20080901/ap_on_el_pr/cvn_palin_daughter Palin says 17-year-old daughter is pregnant]&amp;lt;/ref&amp;gt; Bristol has since gone on to promote abstinence as a realistic choice for teenagers, stating, &amp;quot;[A]bstinence is the only way you can effectively, 100% foolproof way you can prevent pregnancy.&amp;quot;&amp;lt;ref&amp;gt;http://www.lifenews.com/nat5025.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Image:Palin Family..jpg|thumb|left|Palin family members at the announcement of Palin's vice presidential selection, August 29, 2008. From left: Todd, Piper, Willow, Bristol, and Trig.]]&lt;br /&gt;
&lt;br /&gt;
==Political Career==&lt;br /&gt;
Palin was elected to two terms on the Wasilla City Council, and then two terms as the Mayor / Manager of Alaska's fastest growing community (Population: 5400 in 2000)&amp;lt;ref&amp;gt;[http://wasilla.areaconnect.com/statistics.htm Wasilla Population and Demographics]&amp;lt;/ref&amp;gt;. During her time as mayor, Palin hired a Washington lobbying firm to help secure $8 million in congressionally directed spending projects, otherwise known as earmarks.&amp;lt;ref&amp;gt;[http://www.usatoday.com/news/politics/election2008/2008-08-31-palin-bridge_N.htm Palin backed 'bridge to nowhere' in 2006]&amp;lt;/ref&amp;gt; Ms. Palin's leadership qualities were recognized when she was elected as President of the Alaska Conference of Mayors.  In 2002, she ran for Lieutenant Governor, but came in second in a four-way race.  Later that year, when [[Frank Murkowski]] resigned his [[Senate]] seat to become [[governor]], she interviewed for the opening.  Instead, Murkowski appointed his daughter to the seat.  From there, she went on to run for governor and won, becoming the first female governor of Alaska and its youngest.&lt;br /&gt;
&lt;br /&gt;
In 2003, then-Governor Mukowski appointed Palin to serve as Panel Ethics Commissioner of Alaska's Oil and Gas Conservation Commission, which regulates Alaska's [[non-renewable energy|non-renewable]] resources: [[oil]] and [[gasoline|gas]].  She resigned in 2004 as a protest over the &amp;quot;lack of ethics&amp;quot; of fellow panelists who had ignored her complaints of legal violations and conflicts of interest. In a similar vein, Palin took a great political risk by revealing that Randy Reudrich, chairman of the state Republican party, was doing political business on state time. She did this to fulfil a [[conflict of interest]] statement that required her to report such things; to omit the revelation would have been dishonest. But it turned out that this action endeared her to the people of Alaska.&amp;lt;ref&amp;gt;[http://churchformen.blogspot.com/2008/09/people-around-world-are-asking-who-is.html Sarah Palin, a friend of mine] &amp;lt;/ref&amp;gt; &lt;br /&gt;
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To help cultivate influence and political clout in the state, Palin served from 2003 - June, 2005 as one of three directors of the &amp;quot;Ted Stevens Excellence in Public Service, Inc.&amp;quot;, a 527 group that raised funds from corporate donors.&amp;lt;ref&amp;gt;[http://voices.washingtonpost.com/the-trail/2008/09/01/palin_was_a_director_of_embatt.html#more Palin Was a Director of Embattled Sen. Ted Stevens's 527 Group]&amp;lt;/ref&amp;gt;  The stated purpose of the group is, &amp;quot;To increase the number of Republican women in elected offices and in appointed governmental and political positions, including advisory and regulatory commissions through training and education.&amp;quot;&amp;lt;ref&amp;gt;[http://www.campaignmoney.com/political/527/ted_stevens_excellence_in_public_service_inc.asp Ted Stevens Excellence in Public Service, Inc.]&amp;lt;/ref&amp;gt;&lt;br /&gt;
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She ran for Governor in 2006 on a clean government platform, and accomplished a political rarity in defeating the incumbent Governor [[Frank Murkowski]] in his own Republican primary.  Palin went on to defeat former Governor [[Tony Knowles]] in the general election.&lt;br /&gt;
&lt;br /&gt;
She has also served on the Interstate Oil and Gas Compact Commission. She was named one of Alaska's &amp;quot;Top 40 Under 40&amp;quot;, Alaska's Public Works &amp;quot;Person of the Year&amp;quot;, and was recently inducted into the Sigma Beta Delta Honor Society at Alaska Pacific University.&lt;br /&gt;
&lt;br /&gt;
Palin has served on numerous boards and commissions throughout the State, and stays active as a marathon runner, sports team mom, hockey manager and school volunteer.   A lifetime member of the [[NRA]], she enjoys hunting, fishing, and Alaska history. &amp;lt;ref&amp;gt;http://gov.state.ak.us/bio.php Alaska Governor Sarah Palin&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Palin recently announced she plans to run for vice president on a ticket with [[Rush Limbaugh]] in 2012.  When asked about the decision by a reporter, she said, &amp;quot;I have always admired Rush, such a great conservative thinker, you know he really wants what's best for the country, as do I, and that what it's all about folks.&amp;quot;&lt;br /&gt;
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===Resignation===&lt;br /&gt;
In July of 2009, Governor Palin shocked Alaska and the nation with her announcement that she would resign her office effective July 26, 2009. She explained:&lt;br /&gt;
{{Cquote|My choice is to take a stand and effect change – not hit our heads against the wall and watch valuable state time and money, millions of your dollars, go down the drain in this new environment. Rather, we know we can effect positive change outside government at this moment in time, on another scale, and actually make a difference for our priorities – and so we will, for Alaskans and for Americans.&amp;lt;ref&amp;gt;[http://www.gov.state.ak.us/exec-column.php  Executive Column: Palin's resignation announcement]&amp;lt;/ref&amp;gt;}}&lt;br /&gt;
&lt;br /&gt;
==Record as Governor==&lt;br /&gt;
===Energy and Oil===&lt;br /&gt;
&lt;br /&gt;
A strong supporter of harnessing [[oil]] and natural [[gas]] resources, Palin presented the Alaska Gasline Inducement Act (AGIA) in March 2007, which would be the new legal vehicle for building a natural gas pipeline from the state's North Slope.&amp;lt;ref&amp;gt;http://www.newsminer.com/news/2008/aug/29/palin-alaska-gasline-inducement-act-nears-completi/&amp;lt;/ref&amp;gt; It received bipartisan support and was signed into law by Governor Palin in June. In August of 2008 she signed legislation giving state authority to award TransCanada Corp a license to build and operate a multibillion-dollar pipeline to ship natural gas from the North Slope.&amp;lt;ref&amp;gt;http://www.canada.com/calgaryherald/news/story.html?id=2e84b1e8-9a4a-4558-ad05-21b517c50fae&amp;lt;/ref&amp;gt; As Governor, Palin created a new subcabinet that will develop policies to reduce greenhouse gases and help the state adapt to [[climate change]]. She supports oil production in ANWR, connecting it with national security.&amp;lt;ref&amp;gt;http://www.youtube.com/watch?v=2GE11URmmnc&amp;lt;/ref&amp;gt;&lt;br /&gt;
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In 2007, over the objections of oil companies, Palin worked with the Alaska state legislature to approve a major increase in taxes on the oil industry. &amp;lt;ref&amp;gt;[http://seattletimes.nwsource.com/html/localnews/2008103325_alaskatax07.html Windfall tax lets Alaska rake in billions from Big Oil]&amp;lt;/ref&amp;gt;  The state then gave Alaskans a $1200 check to pay for increased gas prices, using the increased revenues from the tax.&amp;lt;ref&amp;gt;[http://hotair.com/archives/2008/08/11/palin-backed-alaskan-windfall-profits-tax/ Palin backed Alaskan windfalls-profit tax]&amp;lt;/ref&amp;gt;  &lt;br /&gt;
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Palin also announced on May 21, 2008 that the state would challenge a recent listing of [[polar bears]] as a threatened species as she and other Alaska elected officials feared such a listing would cripple oil and gas development in prime polar bear habitat off the state's northern and northwestern coasts.  Palin's belief is that there is not enough evidence to support a listing, asserting that polar bears are well-managed and their population has dramatically increased over 30 years as a result of conservation.&lt;br /&gt;
&lt;br /&gt;
===State Economy===&lt;br /&gt;
[[Image:Govp_2008stos_large.jpg|thumb|right|250px|Gov. Sarah Palin delivering her 2008 State of the State address]] At first, Palin supported the Gravina Island Bridge Project, otherwise known as the &amp;quot;Bridge to Nowhere&amp;quot;.  In September 2006, during a stop in [[Ketchikan]] as part of her gubernatorial campaign, Palin stated, &amp;quot;OK, you've got Valley trash standing here in the middle of nowhere,&amp;quot; Palin said, according to an account in the Ketchikan Daily News. &amp;quot;I think we're going to make a good team as we progress that bridge project.&amp;quot;&amp;lt;ref&amp;gt;[http://www.adn.com/sarahpalin/story/511471.html Palin touts stance on 'Bridge to Nowhere']&amp;lt;/ref&amp;gt;  The $398 million bridge would have connected Ketchikan, on Revillagigedo Island in southern southeast Alaska, to its airport on nearby Gravina island.  The Anchorage Daily News also quoted her in an October, 2006 article as saying yes, she would continue state funding for the bridge because she wanted swift action on infrastructure projects. &amp;quot;The window is now while our congressional delegation is in a strong position to assist,&amp;quot; she said.&amp;lt;ref&amp;gt;[http://news.yahoo.com/s/ap/20080831/ap_on_el_pr/cvn_bridge_to_nowhere;_ylt=Am.NkRx1mLWk9A34FLhn8IADW7oF Critics: Palin used 'Bridge to Nowhere' for gain]&amp;lt;/ref&amp;gt;  Palin announced her opposition to the project in a 2007 press release.  &lt;br /&gt;
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She has stated her opposition arose because of the excessive amount of pork-barrel spending in the project, and that she would not fund the $329 million that was short for the budget.&amp;lt;ref&amp;gt;http://www.cnn.com/2007/US/09/22/alaska.bridge.ap/&amp;lt;/ref&amp;gt;  This reversal cost her the support of prominent Alaskan Republicans like Former state House Speaker Gail Phillips, who said, &amp;quot;You don't tell a group of Alaskans you support something and then go to someplace else and say you oppose it&amp;quot;.  Palin instead said that the best option would be to upgrade the ferry system.  However, the money that was retained from the earmark was not used for the ferry system, but was spent building a road on Gravina Island that links to the site of the canceled bridge.&amp;lt;ref name=&amp;quot;bridge&amp;quot;&amp;gt;http://www.reuters.com/article/newsOne/idUSN3125537020080901 Palin &amp;quot;bridge to nowhere&amp;quot; line angers many Alaskans&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Prominent Alaskan politicians criticized Palin for not &amp;quot;giving back&amp;quot; money earmarked for the project.  These critics included her Republican campaign coordinator in Ketchikan, who stated that &amp;quot;She said 'thanks but no thanks,' but they kept the money&amp;quot;.&amp;lt;ref name=&amp;quot;bridge&amp;quot; /&amp;gt; However, state governments do not &amp;quot;give back&amp;quot; money in the manner proposed.&lt;br /&gt;
&lt;br /&gt;
Three times during Palin's time as mayor, earmark funding for projects in Wasilla were noted in [[John McCain]]'s list of &amp;quot;objectionable&amp;quot; spending in 2001 and 2002. McCain's list of spending approved without normal budget scrutiny identified a $500,000 earmark for a public transportation project in the city and a $1 million earmark for an emergency communications center while $450,000 was set aside for an agricultural processing facility.&amp;lt;ref&amp;gt;[http://www.latimes.com/news/la-na-earmarks3-2008sep03,0,6145252.story McCain had criticized earmarks from Palin]&amp;lt;/ref&amp;gt;  Palin, of course, as mayor of a small town had no ability to put these items in a Congressional bill, but her town did benefit from earmarked spending given to Alaska.&lt;br /&gt;
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=== Foreign Policy ===&lt;br /&gt;
[[Image:Ftwainwright_govp_05s.jpg|thumb|right|250px|Governor Sarah Palin visits Strykers at Fort Wainwright, where she is briefed on how the troops are trained and what the training grounds provide.]] &lt;br /&gt;
Palin served as Commander in Chief of the Alaska Army [[National Guard]]. In 2007 she visited troops in [[Germany]] and [[Kuwait]].  According to Major General Craig E. Campbell, the adjutant general of the Alaska National Guard who commands the roughly 3,800 state militia members, the Alaskan governor is not in the site's chain of command and has no authority over its operations.  He told the Associated Press on August 31st that he and Palin play no role in national defense activities, even when they involve the Alaska National Guard. He went on to state that the entire operation is under federal control.&amp;lt;ref&amp;gt;[http://www.cbsnews.com/stories/2008/08/31/ap/politics/main4401854.shtml GOP Cites Palin's Skill, But How Relevant Is It?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
During her first major interview, with ABC's [[Charlie Gibson]], Gibson asked Palin if she agreed with the &amp;quot;[[Bush Doctrine]]&amp;quot;. Palin responded, &amp;quot;In what respect, Charlie?&amp;quot; Gibson followed, &amp;quot;What do you interpret it to be?&amp;quot; Palin answered with another question, &amp;quot;His world view?&amp;quot; Gibson still refused to answer directly but instead stated it was the doctrine Bush had proposed in September of 2002, before the Iraq war. Palin gave a response concerning Bush's attempt to eradicate Islamic extremism. Gibson then explained that the Bush doctrine refers to the right of anticipatory defense, a right to a [[Preemptive war|preemptive]] strike against any country that we think is going to attack us. &amp;lt;ref&amp;gt;[http://www.youtube.com/watch?v=YpJsQch9uZo Asked about the Bush Doctrine...Palin is Clueless]&amp;lt;/ref&amp;gt; What Gibson did not point out is that he himself once gave a definition of the &amp;quot;Bush doctrine&amp;quot; (a concept made up by the press that has no clear definition) that was similar to Palin's answer. Indeed it has been pointed out since that there are actually four different versions of what the Bush doctrine is and the term and meaning changes over time and place.&amp;lt;ref&amp;gt;http://elections.foxnews.com/2008/09/12/palins-definition-of-bush-doctrine-hits-the-gibson-mark/&amp;lt;/ref&amp;gt;&lt;br /&gt;
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===Legislature Investigation===&lt;br /&gt;
In August of 2008, the [[Alaska]] state legislature began an investigation of Palin and her staff for potential abuse of power in regards to a firing of Commissioner of Public Safety Walter Monegan.  Legally, Palin could dismiss Monegan at any time as he serves at the pleasure of the governor. Monegan was dismissed from his position in July of 2008, which Palin's political opponents claim was due to Monegan's refusal to fire trooper Mike Wooten, Palin's former brother-in-law who had a history of complaints including tasering his 10 year old stepson.&amp;lt;ref name=&amp;quot;pc&amp;quot;&amp;gt;http://www.postchronicle.com/news/original/article_212168861.shtml&amp;lt;/ref&amp;gt; Palin says she released Monegan due to differences on budgeting. In an interview Monegan said that he was never told specifically by Sarah Palin to fire the state trooper Mike Wooten.  &amp;lt;ref name=&amp;quot;pc&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Palin has denied the charges and, as is customary, the State of Alaska has hired a lawyer to represent her office in the investigation. August 25th, the Legislative Council voted 12-0 to hire Hollis French as the investigator. &amp;lt;ref&amp;gt;[http://www.liveleak.com/view?i=59d_1220063478 Investigation into Governor Sarah Palin's abuse of powers] CBS 11, August 30, 2008&amp;lt;/ref&amp;gt; The Senate Judiciary Committee voted 3-2 and the House Judiciary Committee voted 7-0. The State's attorney released this statement:&amp;lt;ref&amp;gt;[http://news.yahoo.com/s/ap/cvn_palin_troopergate Palin hires attorney for Troopergate investigation]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The governor of every state gets legal counsel and this attorney is part of a weeks-old effort to provide this governor defense in a series of outlandish politically motivated charges.  This legal defense is neither new nor uncommon nor at all political. It is a matter of her job and is not recent and it is not related to her selection on the McCain-Palin ticket.&lt;br /&gt;
&lt;br /&gt;
The McCain campaign came out with a picture that includes three lead state Democratic legislators investigating the Branchflower probe, known as ‘Troopergate'. The photo shows the three of them at [[Obama]] headquarters in Anchorage, Alaska in July. The McCain campaign said the whole investigation is politically tainted and compromised. Republican Rep. John Coghill of North Pole called on managing investigator, legislator French to step down from the probe, saying he no longer had confidence in his objectivity. &amp;quot;These statements cause me to think that the report is already written even though the investigation is only just begun and the most important witnesses have not even been interviewed,” Coghill wrote in a letter calling for French’s replacement. “The investigation appears to be lacking in fairness, neutrality and due process.” &amp;lt;ref&amp;gt;[http://www.freerepublic.com/focus/f-news/2078644/posts McCain Camp has pictures of &amp;quot;troopergate&amp;quot; investigators at Obama Headquarters] FreeRepublic.com, September 9, 2008&amp;lt;/ref&amp;gt;  Democratic State Senator Kim Elton, head of the legislative council overseeing the investigation, said the decisions made by Sen. Hollis French &amp;quot;have been appropriate, bipartisan ... and unchallenged&amp;quot; and that French has called the comments he made last week &amp;quot;regrettable&amp;quot;.&amp;lt;ref&amp;gt;[http://www.cnn.com/2008/POLITICS/09/08/palin.investigation/ Head of Palin trooper probe will stay, lawmaker says]&amp;lt;/ref&amp;gt; Lawyer Thomas Van Flein called the investigation &amp;quot;unlawful and unconstitutional&amp;quot; and said the man hired to run it, former prosecutor Stephen Branchflower, has a conflict of interest because he is a friend of the fired commissioner. &amp;lt;ref&amp;gt;[http://www.adn.com/troopergate/story/522488.html Palin's attorney calls investigator biased] Ap, September 11, 2008&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The investigation issued its report for the Alaska State Legislative Council on October 10, 2008, concluding that Monegan's refusal to fire the trooper was not the sole reason he was dismissed, but was likely a contributing factor.  The author of the report, Stephen Branchflower, focused on two questions of the inquiry:  did Palin fire Walt Monegan improperly, and was the firing solely because of his refusal to fire her ex brother-in-law. &amp;quot;Governor Palin knowingly permitted a situation to continue where impermissible pressure was placed on several subordinates in order to advance a personal agenda, to wit: to get Trooper Michael Wooten fired,&amp;quot; Branchflower wrote.&amp;lt;ref&amp;gt;http://www.reuters.com/article/politicsNews/idUSTRE4998X420081011&amp;lt;/ref&amp;gt; Based on this, Branchflower claims that &amp;quot;I find that Governor Sarah Palin abused her power by violating Alaska Statute 39.52.110(a) of the Alaska Executive Branch Ethics Act.&amp;quot;&amp;lt;ref&amp;gt;http://www.foxnews.com/projects/pdf/DOWNLOAD.pdf Page 8&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In accordance with the second question the report focused on, Branchflower wrote, &amp;quot;I find that, although Walt Monegan's refusal to fire Trooper Michael Wooten was not the sole reason he was fired by Governor Sarah Palin, it was likely a contributing factor to his termination as Commissioner of Public Safety,&amp;quot; Branchflower wrote. The second finding of the report reads: &amp;quot;In spite of that, Governor Palin's firing of Commissioner Monegan was a proper and lawful exercise of her constitutional and statutory authority to hire and fire executive branch department heads.&amp;quot;  Branchflower also dismissed the Palins' assertions that they were afraid of Wooten because of threats they said he made. &amp;quot;Such claims of fear were not bona fide and were offered to provide cover for the Palins' real motivation: to get Trooper Wooten fired for personal family related reasons,&amp;quot; he wrote. &amp;lt;ref&amp;gt;http://www.mercurynews.com/ci_10692757?source=most_viewed&amp;lt;/ref&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;A preemptive response to this report was issued by the McCain/Palin campaign on October 9th, in which the campaign's own investigation concluded that Palin &amp;quot;acted within her proper and lawful authority in the reassignment of Walt Monegan&amp;quot;.&amp;lt;ref&amp;gt;http://www.reuters.com/article/politicsNews/idUSTRE4998X420081011&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In the end the &amp;quot;October Surprise&amp;quot; predicted by the head of the commission came to pass.  Although the commission was asked not to release its findings until after the election to avoid political posturing, they refused to do so.  Apart from tarring and feathering Palin, the report made no recommendations for any further inquiries or punishment, as it was understood that there was no case to do so.  No direct reports of Sarah Palin abusing her power were ever produced or asking for the official to be fired were ever produced, but that didn't stop the report from drawing its conclusions based upon conjecture without evidence.  Indeed, after the hoopla over the report subsided, the state personnel board released its finding that exonnerated her of any wrongdoing.&amp;lt;ref&amp;gt;http://news.yahoo.com/s/ap/20081104/ap_on_el_pr/palin_troopergate&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Vice Presidential Candidate==&lt;br /&gt;
&lt;br /&gt;
[[Image:Mccainpalin.jpg|thumb|left|250px|Sarah Palin vice presidential announcement, 08/29/08.]] On August 29, 2008, Palin was announced to be the Vice Presidential nominee for Republican Senator John McCain &amp;lt;ref&amp;gt;http://www.newsmax.com/headlines/sarah_palin_vp/2008/08/29/126138.html&amp;lt;/ref&amp;gt;. The selection was a surprise, as those in the media were expecting [[Minnesota]] Governor [[Tim Pawlenty]] or former [[Massachusetts]]'s Governor [[Mitt Romney]].  Palin adds youth and executive experience to the ticket. She is the second female Vice Presidential candidate of a major party in U.S. history and the first one on a Republican ticket.  The first was [[Geraldine Ferraro]], who the Democratic Party put on the ticket under [[Walter Mondale]] in 1984.&lt;br /&gt;
&lt;br /&gt;
Palin's speech before the Republican convention on Wednesday, September 3rd was watched by over 40 million people.  She had as many people turn in to see her as watched Obama's acceptance speech on the final day of the Democratic convention.  Palin has also been attacked by the press on a level not seen since [[Dan Quayle]], although she ultimately handled it much better.  &lt;br /&gt;
===Democrat Responses===&lt;br /&gt;
In a possible problem for the Democratic ticket, a majority of people believed that the press was trying to hurt Palin&amp;lt;ref&amp;gt;http://news.yahoo.com/story/rasmussen/20080904/pl_rasmussen/palinmedia20080904;_ylt=AqErk__wZIKdoVvqUXdr44Nh24cA&amp;lt;/ref&amp;gt; and that type of unwarranted attack could have backfired into more support for the McCain/Palin ticket especially with unaffiliated voters believing the press is purposely attacking Palin by a 49% to 32% margin.&lt;br /&gt;
&lt;br /&gt;
Many Democrats had advised the Obama campaign to ignore Palin, fearing that emphasis on her inexperience will backfire against Obama himself.&amp;lt;ref&amp;gt;[http://www.portfolio.com/views/blogs/capital/2008/09/05/tips-for-obama-ignore-palin-dis-mccain  Matt Coopoer, &amp;quot;Tips for Obama: Ignore Palin, Dis McCain,&amp;quot; Sept. 5, 2008, ''Conde-Nast Portfoloio.com'']&amp;lt;/ref&amp;gt; She participated in a debate with the Democratic VP candidate Joe Biden on October 2, 2008, ending up being declared the winner by most credible news sources that are not  influenced by liberal bias. Palin &amp;quot;kept Joe Biden on the defensive&amp;quot; and &amp;quot;ended up dominating [the debate]&amp;quot;.&amp;lt;ref&amp;gt;http://www.politico.com/news/stories/1008/14234.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
During a campaign event in [[Virginia]], Barack Obama said of the McCain/Palin ticket's similar policies, &amp;quot;...You can put lipstick on a pig, it's still a pig.&amp;quot;&amp;lt;ref&amp;gt;http://www.npr.org/templates/story/story.php?storyId=94481288&amp;lt;/ref&amp;gt; Given the fact that she's stated &amp;quot;The difference between a hockey mom and a pitbull (is) lipstick&amp;quot; and the fact that only a female candidate would wear lipstick, the McCain camp released a web ad implying that the comment was targeting Governor Palin. The ad featured video clips of Gov. Palin convention speech, Obama's remarks at the campaign event, and a clip of Katie Couric commenting on pervasive sexism in the campaign. After extensive discussion in the news media, the ad was removed from McCain's website and other video sites following a copyright claim by CBS news. &amp;lt;ref&amp;gt;[http://www.politico.com/blogs/bensmith/0908/CBS_takes_down_McCain_webad_suggests_its_misleading.html?showall]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Palin is a lightning rod to the established [[liberal]] women's movement. She, like many high profile conservative females, has taken much abuse from the left. Palin has been forced to set up a legal defense fund to help pay for fees related to an onslaught of ethic complaints, which are always frivolous. &amp;lt;ref&amp;gt;[http://primebuzz.kcstar.com/?q=node/18738 Palin blasts Obama administration: Government wants to &amp;quot;control the people&amp;quot;] CNN&amp;lt;/ref&amp;gt; Because she is retiring from being governor of Alaska, the anti-American liberals pat themselves on the back in glee. Liberals still fail to understand that she is ''the'' typical conservative that the majority of Americans identify with. Her principles and her outlook on Americanism is a model for all future leaders.&lt;br /&gt;
&lt;br /&gt;
Palin said of the people who have filed the complaints:&lt;br /&gt;
{{cquote| '''Those are the folks who want to tell me, they want to tell you, to sit down and shut up. We will not do that. I just can't, because I love my state. I love my country.''' }}&lt;br /&gt;
&lt;br /&gt;
===Impact on Ticket===&lt;br /&gt;
&lt;br /&gt;
In the run-up to the Vice-Presidential debate on October 2, 2008, a survey conducted by the Pew Research Center attempted to measure the degree to which Palin impacted the GOP ticket positively or negatively in September.&amp;lt;ref&amp;gt;http://people-press.org/report/456/obama-regains-lead&amp;lt;/ref&amp;gt;  The survey compared the answers to two identical questions about her qualifications and overall favorable/unfavorable rating between polls taken in early and late September.  The results show that public opinion of Palin has fallen significantly since the Republican convention, particularly in the public's opinion of her qualification to be Vice President.  Faced with a barrage of negative press attacks after her nomination, some prominent Republicans like [[Mitt Romney]] believe that the isolation of Palin from the media in September was a mistake, and are calling for an increase in unscripted encounters with the press and public to counter that perception.  According to Romney, &amp;quot;Holding Sarah Palin to just three interviews and microscopically focusing on each interview I think has been a mistake.  I think they’d be a lot wiser to let Sarah Palin be Sarah Palin. Let her talk to the media, let her talk to people.&amp;quot; &amp;lt;ref&amp;gt;http://features.csmonitor.com/politics/2008/09/30/doubts-about-palin-grow-even-among-conservatives/&amp;lt;/ref&amp;gt;  Exit polling from the election itself had the final say on the matter of her impact on the ticket.  For those who considered her nomination on the ticket to be unimportant, 57% voted for Obama.  For those who considered her nomination to be important, 53% voted for Obama, thereby showing a positive overall impact on the ticket.  Considering that exit polling tilts Democratic, the actual impact may have been greater.&lt;br /&gt;
&lt;br /&gt;
When asked by liberal-media pundit Katie Curic what newspapers and magazines Palin read during a TV interview, Palin fumbled and was unable to name any particular news source because of the side-swipe. This added fuel to charges that she was not qualified to run for President but she was clearly qualified by her service as governor. Palin charges back at Curic in her book, &amp;quot;GOING ROUGE&amp;quot; where she mentions the attacks on her by the liberal media.&lt;br /&gt;
&lt;br /&gt;
==Palin in 2012==&lt;br /&gt;
Palin is a celebrity with a large, enthusiastic base on the right that is ready to work for her in Republican primaries. She has been coy about announcing plans for 2012, but she is well positioned for a presidential run, assuming she can raise the $50+ million required to campaign effectively. Given her personal charisma and Reagan-esque connection with average, conservative Americans, she may be able to pull off a resounding victory. &amp;lt;ref&amp;gt;[http://www.capitalcityweekly.com/stories/120308/new_363163237.shtml Sarah Palin hits Republican talking points while stumping in Georgia]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==SarahPAC==&lt;br /&gt;
&lt;br /&gt;
On January 27, 2009 Palin formed the political action committee (PAC) SarahPAC. The organization supports &amp;quot;energy independence and reform&amp;quot; and will endorse candidates who &amp;quot;share Governor Palin’s ideas and goals.&amp;quot; &amp;lt;ref&amp;gt;http://www.bloomberg.com/apps/news?pid=20601087&amp;amp;sid=azCCxotgdG1E&amp;amp;refer=home&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Beliefs==&lt;br /&gt;
Palin filled out a policy questionnaire for the Eagle Forum Alaska during her 2006 gubernatorial race.  One question asked, &amp;quot;Will you support funding for abstinence-until-marriage education instead of for explicit sex-education programs, school-based clinics, and the distribution of contraceptives in schools?&amp;quot;  Palin responded, &amp;quot;Yes, the explicit sex-ed programs will not find my support.&amp;quot;  Yet [[public schools]] still resist teaching abstinence and instead promote sexual behavior by teenagers.&lt;br /&gt;
&lt;br /&gt;
Another question asked, &amp;quot;Are you offended by the phrase 'Under God' in the Pledge of Allegiance? Why or why not?&amp;quot;  Palin replied, &amp;quot;Not on your life. '''If it was good enough for the founding fathers''', it's good enough for me and I'll fight in defense of our Pledge of Allegiance.&amp;quot;  &lt;br /&gt;
&lt;br /&gt;
Many liberals ignorant of the history of &amp;quot;under God&amp;quot; have tried to ridicule Palin's remark, even calling her an &amp;quot;idiot&amp;quot; for it.&amp;lt;ref&amp;gt;http://www.guardian.co.uk/commentisfree/michaeltomasky/2008/sep/01/week&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;The Pledge of Allegiance was written in 1892, and George Washington's phrase &amp;quot;under God&amp;quot; was added to it in June 1954.&amp;lt;/ref&amp;gt;  In fact, the origin of the phrase &amp;quot;under God&amp;quot; is the General Orders of [[George Washington]] on July 2 and 9, 1776: &amp;quot;The fate of unborn millions will now depend, under God, on the courage and conduct of this army&amp;quot; (July 2); &amp;quot;the peace and safety of the Country now depends, under God, solely on the success of our arms&amp;quot; (July 9).&amp;lt;ref&amp;gt;http://www.weeklystandard.com/Content/Public/Articles/000/000/003/264xqezm.asp?pg=2&amp;lt;/ref&amp;gt;  George Washington was indeed a [[Founding Father]], and the Founding Fathers made no secret of their Christian faith and unfailing belief in God in the [[Declaration of Independence]] and later writings.&lt;br /&gt;
&lt;br /&gt;
Palin also believes that students need to learn of the controversy surrounding the [[Theory of evolution|Theory of evolution]], and that discussing Creationism should not be banned from schools.  During the 2006 campaign for the Alaskan Governorship, Palin was answering a question from the moderator near the conclusion of Wednesday night's televised debate on KAKM Channel 7 when she said, &amp;quot;Teach both. You know, don't be afraid of information. Healthy debate is so important, and it's so valuable in our schools. I am a proponent of teaching both.&amp;quot;&amp;lt;ref&amp;gt;http://dwb.adn.com/news/politics/elections/story/8347904p-8243554c.html&amp;lt;/ref&amp;gt;  She later clarified her position by stating &amp;quot;I don't think there should be a prohibition against debate if it comes up in class. It doesn't have to be part of the curriculum.&amp;quot;  She added that, if elected, she would not push the state Board of Education to add such creation-based alternatives to the state's required curriculum.  As of September 2008 she has kept that pledge.&lt;br /&gt;
&lt;br /&gt;
In an example of liberal mockery, the [[Huffington Post]] attempted to make light of Sarah Palin's creationist beliefs, highlighting the creationism belief that [[dinosaur|dinosaurs]] and man coexisted.&amp;lt;ref&amp;gt;http://www.huffingtonpost.com/2008/09/28/palin-claimed-dinosaurs-a_n_130012.html&amp;lt;/ref&amp;gt; SNL likewise did a skit in which they had her refer to the Museum of Natural History as &amp;quot;that evolution museum&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
==Church Life==&lt;br /&gt;
[[Image:Palin.JPG|thumb]]&lt;br /&gt;
Sarah Palin was baptized as a Roman Catholic and, at age 12, she was rebaptized in the Wasilla Assembly of God church.  &amp;lt;ref&amp;gt;{{cite web&lt;br /&gt;
|accessdate=2008-08-30&lt;br /&gt;
|url=http://www.latimes.com/news/politics/la-na-mccainveepbio30-2008aug30,0,2159346.story&lt;br /&gt;
|title=Palin has risen quickly from PTA to VP pick&lt;br /&gt;
|author=Decker, Cathleen and Michael Finnegan,&lt;br /&gt;
|work=Los Angeles Times&lt;br /&gt;
|date=August 30, 2008}}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{cite news&lt;br /&gt;
| last = Gorsk| first = Eric&lt;br /&gt;
| url = http://ap.google.com/article/ALeqM5g4-w_DCWffagBaQb8Il9a0R2hkPAD92SL7E00&lt;br /&gt;
| title = Evangelicals energized by McCain-Palin ticket&lt;br /&gt;
| publisher =Associated Press&lt;br /&gt;
| date = 2008-08-30&lt;br /&gt;
| accessdate = 2008-08-30}}&amp;lt;/ref&amp;gt; &lt;br /&gt;
&lt;br /&gt;
Palin attends the Wasilla Bible Church&amp;lt;ref&amp;gt;{{cite web |first=David |last=Pepper |title=Regarding Governor Palin: A Letter from Pastor David Pepper |url=http://churchontherockak.org/Regarding-Sarah-Palin.html |publisher=Church on the Rock |accessdate=2008-09-04}}&amp;lt;/ref&amp;gt;, an independent congregation,&amp;lt;ref&amp;gt;{{cite web |url=http://www.wasillabible.org/faq.htm |title=Wasilla Bible Church FAQ |accessdate=2008-09-05 |work= |publisher= |date= }}&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;miller&amp;quot;&amp;gt;Lisa Miller and Amanda Coyne. &amp;quot;[http://www.newsweek.com/id/156679 A Visit to Palin's Church: Scripture and discretion on the program in Wasilla].&amp;quot; ''Newsweek''. Sept. 2, 2008.&amp;lt;/ref&amp;gt; when at home and the Juneau Christian Center when in Juneau as governor.&amp;lt;ref&amp;gt;{{cite web |title=Statement Concerning Sarah Palin |url=http://www.jccalaska.com/images/10000/3000/582JU/user/palin.htm |publisher=Juneau Christian Center |date=2008-09-03 |accessdate=2008-09-04}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Popularity==&lt;br /&gt;
Palin earned the highest TV ratings at the Republican convention when she spoke, even surpassing McCain's acceptance speech, and matched Obama's acceptance speech&amp;lt;ref&amp;gt;http://blog.nielsen.com/nielsenwire/media_entertainment/palin-triggers-rnc-ratings-spike/&amp;lt;/ref&amp;gt;, gaining unprecedented attention. Likewise her Vice Presidential debate with [[Joe Biden]] had more viewers than any of the three debates between McCain and Obama.&amp;lt;ref&amp;gt;http://www.politico.com/news/stories/1008/14201.html&amp;lt;/ref&amp;gt; Also, her brief appearance on Saturday Night Live in October 2008 gave the show its highest ratings in 14 years, and was actually the third highest ranked show for the week based on the number of people who tuned in originally to watch her, 17 million, even though it ran at midnight.&amp;lt;ref&amp;gt;http://www.guardian.co.uk/media/2008/oct/20/ustelevision-tvratings&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Publications==&lt;br /&gt;
&lt;br /&gt;
Sarah Palin's [[memoir]], published by HarperCollins: ''[[Going Rogue: An American Life]]'' (November 2009)&amp;lt;ref&amp;gt;[http://www.audacityofhypocrisy.com/2009/10/01/amazing-palin%E2%80%99s-book-number-one-on-both-amazon-and-barnes-unprecedented/ Amazing: Palin’s book number one on both Amazon and Barnes &amp;amp; Noble bestseller list, Audacity of Hypocrisy, October 1, 2009]&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Rush Limbaugh. [http://www.rushlimbaugh.com/home/daily/site_111709/content/01125120.guest.html Rush Interviews Governor Sarah Palin], ''RushLimbaugh.com'', November 17, 2009.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Robert Shaffer. [http://www.foxnews.com/politics/2009/11/17/ap-turns-heads-devoting-reporters-palin-book-fact-check/ AP Turns Heads for Devoting 11 Reporters to Palin Book 'Fact Check'], ''FOXNews.com'', November 17, 2009.&amp;lt;/ref&amp;gt; ISBN 0061939897 &lt;br /&gt;
Palin has decided that her book royalties will be donated to families of Ft. Hood victims. ''&amp;quot;I'm joining the efforts of many others by donating my royalties from the book sales during our stop at Fort Hood to the families of the victims whose lives have been forever changed by the tragic events.&amp;quot;''&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
{{reflist|2}}&lt;br /&gt;
&lt;br /&gt;
==External Links==&lt;br /&gt;
*[http://www.gov.state.ak.us/ State of Alaska - Governor Sarah Palin Official Website]&lt;br /&gt;
*[http://www.nga.org/portal/site/nga/menuitem.29fab9fb4add37305ddcbeeb501010a0/?vgnextoid=864bb9006da3f010VgnVCM1000001a01010aRCRD National Governor's Association - Alaska Governor Sarah Palin]&lt;br /&gt;
*[http://votesmart.org/bio.php?can_id=27200 Project Vote Smart - Governor Sarah H. Palin]&lt;br /&gt;
*[http://www.ontheissues.org/Sarah_Palin.htm Sarah Palin On the issues]&lt;br /&gt;
*[http://parentingfreedom.com/2008/09/03/sarah-palin-mother-and-first-female-vice-president-pictures-children-parenting/ Sarah Palin: Mother and First Female Vice President], ''Parenting Freedom'', September 03, 2008&lt;br /&gt;
*[http://churchformen.blogspot.com/2008/09/people-around-world-are-asking-who-is.html Sarah Palin, a friend of mine]&lt;br /&gt;
*[http://article.nationalreview.com/?q=NDE3MmE5MDVmMGM1YjQ2NmVhMjJkN2I2ZTcxMzhlNjU=&amp;amp;w=MA== I Still Hate You, Sarah Palin] National Review Online&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT:Palin, Sarah}}&lt;br /&gt;
[[Category:Alaska Governors]]&lt;br /&gt;
[[Category:Republican Governors]]&lt;br /&gt;
[[Category:United States Mayors]]&lt;br /&gt;
[[Category:Women]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Bill_O%27Reilly&amp;diff=733237</id>
		<title>Bill O'Reilly</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Bill_O%27Reilly&amp;diff=733237"/>
		<updated>2009-12-16T05:41:11Z</updated>

		<summary type="html">&lt;p&gt;Heysus: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Bll.png|thumb|right|Bill O' Reilly On The O' Reilly Report]]&lt;br /&gt;
'''Bill O'Reilly''' is a generally [[conservative]] commentator and host of the show ''The O'Reilly Factor'' on the [[Fox News Channel]], which he calls the &amp;quot;No Spin Zone.&amp;quot; O'Reilly calls himself a &amp;quot;traditionalist&amp;quot; and an &amp;quot;independent.&amp;quot; &lt;br /&gt;
&lt;br /&gt;
O'Reilly's career was growing throughout the 1980s, but he received his &amp;quot;big break&amp;quot; when hired to anchor Inside Edition, a tabloid gossip and news program.&amp;lt;ref&amp;gt;http://www.starpulse.com/Notables/O%27Reilly,_Bill/Biography/&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
''The O'Reilly Factor'' is the highest-rated hour on any cable news channel.  Over 2.5 million people watch the show each night and millions more listen to his own radio show.&amp;lt;ref&amp;gt;[http://www.cbsnews.com/stories/2004/09/23/60minutes/main645202.shtml Bill O'Reilly: &amp;quot;No Spin&amp;quot;] Transcript 60 Minutes with Mike Wallace aired Sept. 26, 2004. &amp;lt;/ref&amp;gt;  O'Reilly is known for clearly seeing clearly through the issues and destroying his liberal guests, such as [[Richard Dawkins]], in thoughtful and insightful debates.&lt;br /&gt;
&lt;br /&gt;
Politically, he has always claimed he is an independent on &amp;quot;The O'Reilly Factor&amp;quot; (1996). But, it was later revealed that O'Reilly was actually a registered Republican in Nassau County from 1994 to 2000. O'Reilly re-registered as an independent soon after.&amp;lt;ref&amp;gt;http://www.imdb.com/name/nm0971123/bio&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
O'Reilly has condemned white [[racist]] prejudice against U.S. blacks.{{fact}}&lt;br /&gt;
&lt;br /&gt;
He is deeply disliked by many on the [[leftist|far-left]].{{fact}}&lt;br /&gt;
&lt;br /&gt;
==Trivia==&lt;br /&gt;
* O'Reilly and conservative-mocker [[Stephen Colbert]] have appeared on each others' shows.&amp;lt;ref&amp;gt;http://www.msnbc.msn.com/id/16698834/&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
*[[Conservative Links]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&amp;lt;ref&amp;gt;&lt;br /&gt;
http://www.imdb.com/name/nm0971123/bio&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;http://www.starpulse.com/Notables/O%27Reilly,_Bill/Biography/&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT: Oreilly, Bill}} &amp;lt;!---- don't change spelling it messes the sort order ----&amp;gt;&lt;br /&gt;
[[Category:Broadcasters|Oreilly, Bill]]&lt;br /&gt;
[[Category:Conservative Commentators]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Rush_Limbaugh&amp;diff=733232</id>
		<title>Rush Limbaugh</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Rush_Limbaugh&amp;diff=733232"/>
		<updated>2009-12-16T05:34:49Z</updated>

		<summary type="html">&lt;p&gt;Heysus: Added information&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:RushLimbaugh 1.jpg|thumb|right|Rush Limbaugh]]&lt;br /&gt;
'''Rush Limbaugh''' (born January 12, 1951) is a [[conservative]] [[American]] [[radio]] talk show host and author.  Limbaugh has risen to the top of the ratings heap as a reliably [[conservative]] voice in a talk radio media environment dominated by conservatives.  In his sharp criticisms of the [[Obama Administration]] Limbaugh maintains his position as one of the ''de facto'' leaders of the [[Republican]] opposition.&lt;br /&gt;
&lt;br /&gt;
== Radio ==&lt;br /&gt;
&lt;br /&gt;
Limbaugh hosts a radio show famed for its incisive criticism of the follies of [[liberalism]] and his cogent exposure of [[liberal]] [[propaganda]] and [[deceit]]. He is often at odds with [[liberal]] activist [[Al Franken]]&amp;lt;ref&amp;gt;[http://fireside.designcommunity.com/topic-9993.html Forum thread] discussing a NYT Editorial&amp;lt;/ref&amp;gt;. He habitually refers to [[feminists]] who support [[abortion]] as ''feminazis'' and to his own self as having &amp;quot;talent on loan from God&amp;quot;. &lt;br /&gt;
&lt;br /&gt;
Limbaugh's style has been credited with &amp;quot;reviving AM radio in the United States, and is considered by many to have been a catalyst for the [[Republican Party]]'s 1994 Congressional victories&amp;quot;&amp;lt;ref&amp;gt;[http://select.nytimes.com/gst/abstract.html?res=F10813FA3B5D0C708EDDAB0894DE494D81&amp;amp;n=Top%2fReference%2fTimes%20Topics%2fPeople%2fL%2fLimbaugh%2c%20Rush Radio Talk Show Host Fears For True Conservatism's Fate], New York Times&amp;lt;/ref&amp;gt;.&lt;br /&gt;
Limbaugh's conservative talk show is nationally syndicated and averages over 16 million listeners weekly, making him the #1 radio talk show host in America.&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://www.talkers.com/main/index.php?option=com_content&amp;amp;task=view&amp;amp;id=17&amp;amp;Itemid=34 The Top Talk Radio Audiences] Tallkers magazine online&amp;lt;/ref&amp;gt; In July 2008, Rush announced &amp;quot;he has renewed his contract with Premiere Radio Networks and Clear Channel Radio, continuing syndication of his show 'many years into the future.'&amp;quot; &amp;lt;ref&amp;gt;[http://www.humanevents.com/article.php?id=27326 Rush Renews Contract], ''[[Human Events]]'', July, 2, 2008&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Obama to Fail===&lt;br /&gt;
Limbaugh made national headlines when he was asked to write 400 words for a newspaper column about Obama's plans.  He said he didn't need 400 words, he needed just four: &amp;quot;I hope he fails.&amp;quot; He immediately came under attack as an unpatriotic obstructionist. What Limbaugh actually said, as opposed to the [[MSM]] shortened version flashed everywhere, according to the show's [http://www.rushlimbaugh.com/home/daily/site_011609/content/01125113.guest.html transcript] was, if Obama is for socialist policies and against capitalist policies, of course he could not support those policies, and hoped he would fail. &amp;lt;ref&amp;gt;[http://www.rushlimbaugh.com/home/daily/site_011609/content/01125113.guest.html Limbaugh radio show transcript.]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Limbaugh addressed [[CPAC]] and further discussed his stance that generated so much attention. &amp;lt;ref&amp;gt;[http://www.foxnews.com/politics/first100days/2009/03/01/limbaugh-leader-obama-chief-staff-calls-talk-host-barrier-progress/ Limbaugh the Leader? Obama Chief of Staff] Fox News,  March 01, 2009&amp;lt;/ref&amp;gt; {{cquote| ''&amp;quot;Did the Democrats want the war in Iraq to fail? Well, they certainly did. And they not only wanted the war in Iraq to fail, they proclaimed it a failure. ... The last thing they wanted was to win. They hoped George Bush failed. So where is it -- what is so strange about being honest and saying, I want Barack Obama to fail if his mission is to restructure and reform this country so that capitalism and individual liberty are not its foundation? Why would I want that to succeed?&amp;quot;'' }}&lt;br /&gt;
&lt;br /&gt;
== The Harry Reid Letter ==&lt;br /&gt;
On October 2, 2007, [[United States Senate|Senator]] [[Harry Reid]], [[Democrat|D]]-[[Nevada|NV]], wrote a letter to Mark P. Mays, President and CEO of Clear Channel Communications, who is Rush Limbaugh's chief patron. In it Senator Reid essentially demanded that Mr. Mays order Mr. Limbaugh to apologize for remarks he made concerning &amp;quot;phony soldiers.&amp;quot;&amp;lt;ref name=ReidText&amp;gt;Reid, Harry, ''et al.'' &amp;quot;[http://reid.senate.gov/newsroom/record.cfm?id=284699 Letter to Mark P. Mays of Clear Channel Communications].&amp;quot; [http://reid.senate.gov/ Electronic Office of US Senator Harry Reid], October 2, 2007. Retrieved October 19, 2007.&amp;lt;/ref&amp;gt; A ''phony soldier'' is someone who is not a soldier at all but is pretending to be one, especially in a public forum. Such activity is unlawful, and the [[Jesse MacBeth|person]] whose activity prompted Mr. Limbaugh's remarks has since been convicted and punished.&amp;lt;ref name=PhonySoldier&amp;gt;Limbaugh, Rush. &amp;quot;[http://www.rushlimbaugh.com/home/daily/site_092807/content/01125106.guest.html The Anatomy of a Smear: 'Phony Soldiers' Is a Phony Story].&amp;quot; ''[http://www.rushlimbaugh.com/home/today.guest.html Rush Limbaugh Official Site]'', accessed December 25, 2007.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This letter was co-signed by nearly all Democratic senators. In a speech in Philadelphia on October 11th, Limbaugh announced plans to sell the original letter on eBay in a charity auction. The proceeds went to the Marine Corps Law Enforcement Foundation. The letter sold for $2.1 million and Limbaugh matched the winning amount with a total of $.2 million being donated. &amp;lt;ref&amp;gt;http://www.associatedcontent.com/article/420889/harry_reidrush_limbaugh_letter_nets.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Politics ==&lt;br /&gt;
Limbaugh endorsed [[Mitt Romney]] for the [[2008 Presidential Election]]. &amp;lt;ref&amp;gt;[http://www.cnsnews.com/ThisHour.asp#Limbaugh%20Endorses%20Romney Limbaugh Endorses Romney], [[Melanie Hunter]], ''[[CNSNews]]'', February 05, 2008&amp;lt;/ref&amp;gt;  He was often critical of [[John McCain]] during the Republican primaries, but supported him in the general election.  It has been widely rumored that Limbaugh is planning a presidential campaign in 2012 with Sarah Palin as his running mate.  Limbaugh addressed the rumors saying, &amp;quot;Someone needs to stop the current socialist agenda before the greatest country in the world is reduced to a third world country, and if no one else in the GOP will step up, I will.&amp;quot;  &lt;br /&gt;
&lt;br /&gt;
== Poking fun at Obama liberals==&lt;br /&gt;
Newsweek editor Evan Thomas said on MSNBC's &amp;quot;Hardball&amp;quot; that Obama was &amp;quot;sort of God.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Asking rhetorically what [[God]] has in common with Obama, Limbaugh said, &amp;quot;Neither has a birth certificate.&amp;quot; &amp;lt;ref&amp;gt;[http://wnd.com/index.php?fa=PAGE.view&amp;amp;pageId=100717 Rush Limbaugh pummels Obama on birth certificate] WND, June 10, 2009&amp;lt;/ref&amp;gt; He went on to say &amp;quot;God does not think he's Obama,&amp;quot; and &amp;quot;Liberals love Obama.&amp;quot; Limbaugh explained more differences, &amp;quot;Another difference is that God only demands to be worshipped once a week,&amp;quot; and &amp;quot;God asks for only 10 percent of your money&amp;quot;, and &amp;quot;God gives you freedom to live your life as you choose.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Painkiller addiction ==&lt;br /&gt;
&lt;br /&gt;
On October 6, 2003 Limbaugh told his audience he was addicted to OxyContin and other painkillers citing a failed back surgery as the cause of his pain and subsequent dependence. &amp;lt;ref&amp;gt;The Rush Limbaugh Show, October 6, 2007.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;[http://www.cnn.com/2003/SHOWBIZ/10/10/rush.limbaugh/ &amp;quot;Limbaugh admits addiction to pain medication&amp;quot;&amp;lt;/ref&amp;gt; Limbaugh underwent treatment for his addiction, and charges against him for alleged &amp;quot;doctor shopping&amp;quot; to procure prescription medications were dropped on the condition that he continue treatment for his addiction.&amp;lt;ref&amp;gt;http://www.cbsnews.com/stories/2006/04/28/national/main1561324.shtml&amp;lt;/ref&amp;gt; The [[MSM]] as well as Democratic politicians consistently use this information to crudely and unfairly attack Limbaugh.&lt;br /&gt;
&lt;br /&gt;
== Sports ==&lt;br /&gt;
&lt;br /&gt;
Limbaugh is an avid sports fan, particularly football. He briefly held a position as a commentator on ESPN's Sunday NFL Countdown pre-game show. He resigned from the show on October 2, 2006 after comments made regarding Eagles quarterback Donovan McNabb received widespread criticism.&lt;br /&gt;
&lt;br /&gt;
{{cquote|''' ''&amp;quot;I think what we've had here is a little social concern in the NFL. The media has been very desirous that a black quarterback do well. There is a little hope invested in McNabb, and he got a lot of credit for the performance of this team that he didn't deserve. The defense carried this team.&amp;quot;'' '''}}&lt;br /&gt;
&lt;br /&gt;
After McNabb's response, &amp;quot;It's sad that you've got to go to skin color. I thought we were through with that whole deal,&amp;quot; significant pressure was put upon Limbaugh to resign. &amp;lt;ref&amp;gt;http://espn.go.com/gen/news/2003/1001/1628537.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Other Media Work ==&lt;br /&gt;
&lt;br /&gt;
The Limbaugh Letter is a monthly publication that contains conservative articles and humor in Rush's style. &lt;br /&gt;
&lt;br /&gt;
Limbaugh is involved in the conservative satire show &amp;quot;The 1/2 Hour News Hour&amp;quot; show on the [[Fox News Channel]]. &amp;lt;ref&amp;gt;&lt;br /&gt;
[http://www.washingtonpost.com/wp-dyn/content/article/2007/02/16/AR2007021602098.html Fox News Channel's '1/2 Hour News Hour': Right Funny, in Spots] washingtonpost.com&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Rush occasionally writes op-ed pieces for the [[Wall Street Journal]].&lt;br /&gt;
&lt;br /&gt;
== Quotes ==&lt;br /&gt;
* &amp;quot;You know why there's a Second Amendment? In case the government fails to follow the first one.&amp;quot; - Rush Limbaugh, 17 Aug 1993&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist|2}}&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
*[[Previous Breaking News/Rush Limbaugh|Articles about '''Rush Limbaugh''' from previous &amp;quot;Breaking News&amp;quot;]]&lt;br /&gt;
*[[Conservative Links]]&lt;br /&gt;
*[[Rush Derangement Syndrome]]&lt;br /&gt;
&lt;br /&gt;
==External Links==&lt;br /&gt;
*[http://www.rushlimbaugh.com/home/today.guest.html Official Rush Limbaugh website]&lt;br /&gt;
*[http://www.cspan.org/Watch/watch.aspx?MediaId=HP-A-15919 Rush's 2009 Conservative Political Action Conference (CPAC) Speech], ''C-SPAN'', February 28, 2009&lt;br /&gt;
&lt;br /&gt;
{{DEFAULTSORT: Limbaugh, Rush}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Broadcasters]]&lt;br /&gt;
[[Category:Republican Party]]&lt;br /&gt;
[[Category:Conservative Commentators]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Integration_by_parts&amp;diff=733227</id>
		<title>Integration by parts</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Integration_by_parts&amp;diff=733227"/>
		<updated>2009-12-16T05:23:03Z</updated>

		<summary type="html">&lt;p&gt;Heysus: Changed some wording&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Template:Math-h}}&lt;br /&gt;
&lt;br /&gt;
This article details the method known as '''Integration by Parts'''.&lt;br /&gt;
&lt;br /&gt;
==Integration by Parts==&lt;br /&gt;
'''Integration by parts''' is a special [[Methods of integration|technique]] to facilitate the integration of the product of two functions that otherwise lack an obvious integral.  This technique can be proven with the [[product rule]].&lt;br /&gt;
&lt;br /&gt;
The rule for '''integration by parts''' is stated as follows:&amp;lt;ref&amp;gt;http://www.math.hmc.edu/calculus/tutorials/int_by_parts/&amp;lt;/ref&amp;gt;&lt;br /&gt;
:&amp;lt;big&amp;gt;&amp;lt;math&amp;gt;\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This rule is often useful when one function is a power of ''x'' and the other function  is a trigonometric function or ''e'' raised to a power of ''x''.&lt;br /&gt;
&lt;br /&gt;
Note that it may be necessary to repeat the '''integration by parts''' several times, depending on the situation.&lt;br /&gt;
&lt;br /&gt;
===Proving Integration by Parts===&lt;br /&gt;
The proof for Integration by Parts is simple and important.&lt;br /&gt;
Given:&lt;br /&gt;
:&amp;lt;math&amp;gt;f(x)g(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;It is known from the [[Product rule]] that:&lt;br /&gt;
:&amp;lt;math&amp;gt;(f(x)g(x))' = f'(x)g(x) + f(x)g'(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
If both sides are integrated:&lt;br /&gt;
:&amp;lt;math&amp;gt;f(x)g(x) = \int f'(x)g(x)dx + \int f(x)g'(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
By rearranging the terms:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int f(x)g'(x)dx = f(x)g(x) - \int f'(x)g(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Sometimes, Integration by Parts is simply expressed as:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int udv = uv - \int vdu&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Using Integration by Parts==&lt;br /&gt;
&lt;br /&gt;
=== Example 1 ===&lt;br /&gt;
A common example where integration by parts is needed is  this:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int x\sin(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Let's set:&lt;br /&gt;
:&amp;lt;math&amp;gt;u = x&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;dv = \sin(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
We can begin to solve:&lt;br /&gt;
:&amp;lt;math&amp;gt;du = dx&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;v = -\cos(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;\int x\sin(x)dx = -x\cos(x) - \int -\cos(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;= -x\cos(x) + \int \cos(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Now we are left with an integral that we '''do''' know how to solve:&lt;br /&gt;
:&amp;lt;math&amp;gt;= -x\cos(x) + sin(x) + C&amp;lt;/math&amp;gt;&lt;br /&gt;
Therefore:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int x\sin(x)dx = -x\cos(x) + sin(x) + C&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Example 2 ===&lt;br /&gt;
&amp;lt;br /&amp;gt;Say that we are given:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int e^x \sin(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Let's set:&lt;br /&gt;
:&amp;lt;math&amp;gt;u=\sin(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;dv=e^xdx&amp;lt;/math&amp;gt;&lt;br /&gt;
And continue solving:&lt;br /&gt;
:&amp;lt;math&amp;gt;du = \cos(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;v = e^x&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;\int e^x \sin(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
And continue solving:&lt;br /&gt;
:&amp;lt;math&amp;gt;= \sin(x)e^x - \int e^x \cos(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Now, we set:&lt;br /&gt;
:&amp;lt;math&amp;gt;u = \cos(x) &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;dv = e^xdx &amp;lt;/math&amp;gt;&lt;br /&gt;
And continue solving:&lt;br /&gt;
:&amp;lt;math&amp;gt;du = -\sin(x)dx&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;v = e^x&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;\sin(x)e^x - \int e^x \cos(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;= \sin(x)e^x - \cos(x)e^x + \int -e^x\sin(x) dx = \sin(x)e^x - \cos(x)e^x - \int e^x\sin(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
Let's look back at what we have done:&lt;br /&gt;
:&amp;lt;math&amp;gt;\int e^x \sin(x)dx = \sin(x)e^x - \cos(x)e^x - \int e^x\sin(x) dx&amp;lt;/math&amp;gt;&lt;br /&gt;
The integral of the function has the integral of itself ... inside itself. This is actually a common occurrence with functions like the one we are solving. However, we can cheat the never-ending cycle of integrals by doing this:&lt;br /&gt;
:&amp;lt;math&amp;gt;2\int e^x \sin(x)dx = \sin(x)e^x - \cos(x)e^x&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt;\int e^x \sin(x)dx = {\sin(x)e^x - \cos(x)e^x \over 2}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Rapid Repeated Integration==&lt;br /&gt;
'''Rapid Repeated Integration''' is a shortcut method for reduction problems that require Integration by Parts. It is especially useful when one function's derivative reduces to zero.&lt;br /&gt;
&lt;br /&gt;
===Example 3===&lt;br /&gt;
&lt;br /&gt;
For example, integrating:&lt;br /&gt;
:&amp;lt;big&amp;gt;&amp;lt;math&amp;gt;\int x^4 sin(x)\,dx&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&lt;br /&gt;
We start off by making a table of &amp;lt;math&amp;gt;x^4&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;sin(x)&amp;lt;/math&amp;gt;. On the first column, the derivatives of &amp;lt;math&amp;gt;x^4&amp;lt;/math&amp;gt; are taken until they reach zero. In the second column, sin(x) is integrated once down each row:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! &amp;lt;math&amp;gt;f(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
! &amp;lt;math&amp;gt;g(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;x^4&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;\sin(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;4x^3&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;-\cos(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;12x^2&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;-\sin(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;24x&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;\cos(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;24&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;\sin(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;0&amp;lt;/math&amp;gt;&lt;br /&gt;
| &amp;lt;math&amp;gt;-\cos(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Terms are multiplied diagonally from the left to the right and we add the product to the product of the next product, alternating signs with each step.&lt;br /&gt;
&lt;br /&gt;
The first term, for example, is:&lt;br /&gt;
:&amp;lt;math&amp;gt;(x^4)(-cos(x)) = -x^4cos(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
So then the integral becomes:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;big&amp;gt;&amp;lt;math&amp;gt;\int x^4 sin(x)\,dx&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt; = &amp;lt;big&amp;gt;&amp;lt;math&amp;gt;\ -x^4cos(x)-(-4x^3sin(x))+(12x^4cos(x))-(24xsin(x))-(-24cos(x))&amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;/big&amp;gt;=&amp;lt;big&amp;gt;&amp;lt;math&amp;gt;\ -x^4cos(x)+4x^3sin(x)+12x^2cos(x)-24xsin(x)-24cos(x)+C&amp;lt;/math&amp;gt;&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
While this method is very useful when part of the integrand becomes zero through [[derivative|derivation]], it does not work in cases such as Example 2 above.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Integration]]&lt;br /&gt;
*[[Methods of integration]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[category:calculus]]&lt;br /&gt;
[[category:integration]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
	<entry>
		<id>https://www.conservapedia.com/index.php?title=Power_rule&amp;diff=733219</id>
		<title>Power rule</title>
		<link rel="alternate" type="text/html" href="https://www.conservapedia.com/index.php?title=Power_rule&amp;diff=733219"/>
		<updated>2009-12-16T05:16:44Z</updated>

		<summary type="html">&lt;p&gt;Heysus: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The power rule allows one to calculate the derivative of a power of a function in terms of the derivative of the function itself.  The power rule states that&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{d}{dx} (x^n) = nx^{n-1} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
for all integers &amp;lt;math&amp;gt; n &amp;lt;/math&amp;gt;.  This rule is useful when combined with the [[chain rule]].  As an example we can compute the derivative of &amp;lt;math&amp;gt; f(x) = (\sin(x))^n&amp;lt;/math&amp;gt; as&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; f'(x) = \frac{d}{dx} (\sin(x))^n = n(\sin(x))^{n-1}\cos(x) &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Heysus</name></author>
	</entry>
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