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Imaginary unit - Wikipedia, the free encyclopedia
'The powers of i repeat in a cycle: ' In mathematics, physics, and engineering, the imaginary unit is denoted by i or the Latin j or the Greek iota (see alternative notations below). It allow...
en.wikipedia.org/wiki/Imaginary_unit |
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Complex number - Wikipedia, the free encyclopedia
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I like that representation of Euler’s formula also — I’m gearing up to cover it in an upcoming post (first we need a bit more on e and imaginary numbers ).
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Introduces the imaginary number 'i', and demonstrates how to simplify expressions involving the square roots of negative numbers. Warns about a common trick question. ... Sections: Introduction, Operations with complexes, The Quadratic Formula ... that is, numbers without the "i" in them.) The imaginary is defined to be:
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What is an imaginary number? What is i?; Contrary to what some people might tell you, imaginary numbers are not numbers that only exist in the brains of weird people. Or maybe they are; all numbers in math are "imaginary" in the sense that you can't touch them or experience them directly.
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The natural number ties in very closely with imaginary numbers and are used in the computation of numbers which would otherwise have no value. The stem of this is the equation:
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Imaginary numbers are an intriguing artifact of negative numbers. ... An imaginary result meaning that the values in some sense don't count is comparable to what happens with the separation formula in Relativity: An imaginary result ("space-like separation") means that you can't get there from here in space-time.
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