Difference between revisions of "E"

Revision as of 03:10, July 6, 2008

e is a useful mathematical constant which is a transcendental number approximately equal to 2.718281828459045 . e can be used in logarithms as the base, called a natural logarithm. e is named for Swiss mathematician Leonhard Euler, though he did not discover the constant.

It has some remarkable properties: For example:

\text{[math]}

(i.e. the exponetial function is an eigenfunction of the derivative operator, with eigenvalue 1).

@@ Line 2: / Line 2: @@
 '''''e''''' is a useful [[mathematical]] constant which is a [[transcendental]] number approximately equal to 2.718281828459045 . ''e'' can be used in [[logarithm]]s as the base, called a [[natural logarithm]]. ''e'' is named for [[Swiss]] [[mathematician]] [[Leonhard Euler]], though he did not discover the constant.
-It has some remarkable properties that its [[exponential]] to any [[real number]] <math>x</math> is:
+It has some remarkable properties: For example:
 :<math>\frac{d}{dx}e^x = e^x.</math>
-The exponetial function is the [[eigenfunction]] of the [[derivative]] operator.
+(i.e. the exponetial function is an [[eigenfunction]] of the [[derivative]] operator, with [[eigenvalue]] 1).
 ==Formulae for ''e''==