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.
Related Topics:
Mathematics - Complex number - Ordered pair - Real numbers - Complex function - Holomorphic
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
In terms of the complex conjugatear{z}, the real part of z is equal to z+ar zover2.
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
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.
Related Topics:
Polar form - Euler's formula
~ ~ ~ ~ ~ ~ ~ ~ ~ ~
~ Table of Content ~
| ► | Introduction |
| ► | See also |
~ What's Hot ~
~ Community ~
| ► | History Forum Come and discuss about History, Civilizations, Historical Events and Figures |
| ► | History Web-Ring A community of sites, blogs and forums dedicated to History. Do not hesitate to submit your site. |
and are licensed under the GNU Free Documentation License.
Lexicon - Privacy Policy - Spiritus-Temporis.com ©2005.