Real part

In mathematics, the real part of a complex number z, is the first element of the ordered pair of real numbers representing z, i.e. if z = (x, y) , or equivalently, z = x+iy, then the real part of z is x. It is denoted by mbox{Re}z or Re z. The complex function which maps z to the real part of z is not holomorphic.

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In terms of the complex conjugatear{z}, the real part of z is equal to z+ar zover2.

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For a complex number in polar form, z = (r, heta ), or equivalently, z = r(cos heta + i sin heta) , it follows from Euler's formula that z = re^{i heta}, and hence that the real part of re^{i heta} is rcos heta.

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Complex number: In mathematics, the complex numbers are an extension of the real numbers by the inclusion of the imaginary unit i, satisfying i^2 = -1. Every complex number can be written in the form x+iy, where x and y are real numbers called the real part and the imaginary part of the complex number, respectivel...

Ordered pair: An ordered pair is a collection of two objects such that one can be distinguished as the first element and the other as the second element. An ordered pair with first element a and second element b is usually written as (a, b)....

Real numbers: REDIRECT Real_number...

Real part related Images and Photos (experimental)

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