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I think for Complex function you have to use the conjugate.--[[User:Drazick|Royi A]] ([[User talk:Drazick|talk]]) 20:12, 24 September 2009 (UTC)
== f(x)=x³ + 1 ? (It´s odd, not neither) ==
f(x)=x³ + 1 is an odd function, linear shifts do not make a distinction.
The neither aspect has to do with the following:
f(x)=x³ + 1
f(x)=x³ + 1*x°
x³ odd
x° even
x° is a fundamental, and can not be taken into consideration for odd or even nomenclature because those are inflection or saddle points where those functions converge onto.
f(x)=x² + 1*x° would be even, the addition of two even functions, but it is not, zero not being an allowed operator for any function except for that what is an identity function.
Anything times zero does NOT equal zero, but remains that what it was:
x/0, If you subdivide real matter zero times, what remains? (x).
x*0, If you multiply real matter by itself zero times, what remains? (x).
The identity functionality for real instances, is not placed in the mathematics, except at one, not at zero.
For real instances, real matter & physics, both division and multiplication by zero, leaves that number the way it is.
(One notable exception, and that is a potencial well function, where enthropy dictates that the resultant would be (x+0)/2)
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