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Derivatives on HP 42S
08-26-2018, 01:54 PM
Post: #20
RE: Derivatives on HP 42S
(08-26-2018 04:54 AM)Thomas Klemm Wrote:  
(08-25-2018 09:20 PM)Albert Chan Wrote:  If x is complex, is it true that f(x) same as -f(-x) ?

No. Consider \(f(z)=z^2\). Here we have \(f(-z)=f(z)\).

Functions for which f(x) = f(-x) are called even functions, and functions for which f(x) = -f(-x) are called odd functions, on account of the fact that their Taylor series contain only even or odd powers of x, respectively. The resulting symmetry applies for complex numbers as well as it does for real ones.
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Messages In This Thread
Derivatives on HP 42S - lrdheat - 08-20-2018, 03:03 AM
RE: Derivatives on HP 42S - Thomas Klemm - 08-20-2018, 04:38 AM
RE: Derivatives on HP 42S - Thomas Klemm - 08-20-2018, 07:43 AM
RE: Derivatives on HP 42S - Albert Chan - 08-20-2018, 11:54 PM
RE: Derivatives on HP 42S - lrdheat - 08-20-2018, 10:57 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-20-2018, 11:43 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-21-2018, 12:34 AM
RE: Derivatives on HP 42S - Thomas Klemm - 08-21-2018, 01:35 AM
RE: Derivatives on HP 42S - lrdheat - 08-21-2018, 02:24 AM
RE: Derivatives on HP 42S - Thomas Klemm - 08-21-2018, 06:14 AM
RE: Derivatives on HP 42S - RMollov - 08-23-2018, 12:58 PM
RE: Derivatives on HP 42S - lrdheat - 08-24-2018, 02:51 AM
RE: Derivatives on HP 42S - Thomas Klemm - 08-24-2018, 05:52 AM
RE: Derivatives on HP 42S - lrdheat - 08-25-2018, 05:19 PM
RE: Derivatives on HP 42S - Albert Chan - 08-25-2018, 07:03 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-25-2018, 06:05 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-25-2018, 08:00 PM
RE: Derivatives on HP 42S - Albert Chan - 08-25-2018, 09:20 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-26-2018, 04:54 AM
RE: Derivatives on HP 42S - Thomas Okken - 08-26-2018 01:54 PM
RE: Derivatives on HP 42S - lrdheat - 08-26-2018, 04:47 PM
RE: Derivatives on HP 42S - Albert Chan - 08-26-2018, 08:39 PM
RE: Derivatives on HP 42S - Thomas Klemm - 08-26-2018, 08:00 PM
RE: Derivatives on HP 42S - Albert Chan - 08-29-2018, 01:52 PM



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