Difference between revisions of "Complex numbers"
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(ouch, pain, pain. no no no. if we can't get basic math right, how is this ever going to succeed. mein gut in himmel) |
Gemberling (talk | contribs) m (a + b(1^1/2) is an element of R. i = sqrt(-1)) |
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| − | The complex numbers are numbers of the form <math> a + bi </math> where <math> a </math> and <math> b </math> are real numbers and <math> i </math> is a square root of | + | The complex numbers are numbers of the form <math> a + bi </math> where <math> a </math> and <math> b </math> are real numbers and <math> i </math> is a square root of -1. The complex numbers form an [[algebraic closure|algebraicly closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations. |
===In popular culture=== | ===In popular culture=== | ||
In [[Yvgeny Zamyatin]]'s satirical novel ''[[We (novel)|We]]'', the narrator's psychological distress at contemplating the concept of complex numbers becomes a metaphor for the limitations of totalitarian systems of thought. | In [[Yvgeny Zamyatin]]'s satirical novel ''[[We (novel)|We]]'', the narrator's psychological distress at contemplating the concept of complex numbers becomes a metaphor for the limitations of totalitarian systems of thought. | ||
Revision as of 01:16, March 8, 2007
The complex numbers are numbers of the form <math> a + bi </math> where <math> a </math> and <math> b </math> are real numbers and <math> i </math> is a square root of -1. The complex numbers form an algebraicly closed field but do not permit a non-trivial ordering that is preserved under operations.
In popular culture
In Yvgeny Zamyatin's satirical novel We, the narrator's psychological distress at contemplating the concept of complex numbers becomes a metaphor for the limitations of totalitarian systems of thought.