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DCT
...rete cosine transform is a [[linear]], invertible [[function (mathematics)|function]] ''F'' : '''R'''<sup>''N''</sup> <tt>-></tt> '''R'''<sup>''N''</sup> or

10 KB (1,689 words) - 18:26, 30 July 2019
DCTII
The example of the C++ call below calculates the expansion of function Let $F$ be smooth even function quickly decaying at infinity; let $N$ be large natural number.

5 KB (682 words) - 18:27, 30 July 2019
Shoko function
[[File:ShokopPlotAT.png|400px|thumb|[[Shoko function]] and two its asimptitics]] [[Shoko function]] describes the growth of the [[fluence]] of pulse of light in the homogene

10 KB (1,507 words) - 18:25, 30 July 2019
Trappmann function
[[Trappmann function]] is defined with ...re elementary function. The Trappmann function is example of [[holomorphic function]] without [[fixed point]]s, suggested in year 2011 by [[Henryk Trappmann]]

9 KB (1,320 words) - 11:38, 20 July 2020
ArcTra
ArcTra is inverse of the [[Trappmann function]]; $\mathrm{ArcTra}=\mathrm{tra}^{-1}$, where [[ArcTra]] can be expressed through the [[Tania function]] as follows:

10 KB (1,442 words) - 18:47, 30 July 2019

[[Doya function]] with parameter unity of real argument, $y=T(x)=\mathrm{Doya}_1(x)$ The linear approximation in vicinity of zero $y=T'(0) x =\mathrm e x~$

(881 × 1,325 (95 KB)) - 09:43, 21 June 2013

File:TetPlotU.png

...aphic of tetration $y\!=\!\mathrm{tet}(x)$ looks similar to that of linear function ...tetration $y\!=\!\mathrm{tet}(x)$ looks similar to that of the exponential function $y\!=\!\exp(x)$.

(838 × 2,088 (124 KB)) - 08:53, 1 December 2018

Conjugation
...t is assumed that the inverse function $Q=P^{-1}$ exists. Then, for some function $f$, its conjugate $g$ is expressed with ..., the operations $P$ and $f$ commute, and $P$ can be "drawn through" function $f$, for example,

6 KB (921 words) - 18:46, 30 July 2019
Iterate of linear fraction
...rate_of_linear_fraction]] (or [[iteration of linnet friaction]]) refers to function [[Iterate]] of a [[linear fraction]] can be expressed with also some linear fraction. This article describes this expression.

13 KB (2,088 words) - 06:43, 20 July 2020
File:Fracit20t150.jpg
[[Iterate of linear fraction]]; [[Category:Elementary function]]

(1,466 × 1,466 (463 KB)) - 08:36, 1 December 2018
File:Fracit10t150.jpg
[[Iterate of linear fraction]]; [[Category:Elementary function]]

(1,466 × 1,466 (564 KB)) - 08:36, 1 December 2018
File:Fracit05t150.jpg
[[Iterate of linear fraction]]; [[Category:Elementary function]]

(1,466 × 1,466 (441 KB)) - 08:36, 1 December 2018
File:Frac1zt.jpg
[[Iterate]]s of function $T(z)=-1/z$ The non-integer iterates of function $T$ are evaluated using the superfunction

(2,089 × 2,089 (734 KB)) - 08:36, 1 December 2018
File:Frac2zt.jpg
[[Iteration]] of function $T(z)=-4/z$. [[Category:Iterate of linear fraction]]

(2,089 × 2,089 (716 KB)) - 21:47, 29 August 2013
Linear fraction
[[File:F1xmapT.jpg|300px|thumb|[[Complex map|Map]] of function $T$ by (1) at $u\!=\!0$, $v\!=\!-1$, $w\!=0$]] [[Linear fraction]] is meromorphic function that can be expressed with

5 KB (830 words) - 18:44, 30 July 2019
Linear fuction
[[Linear function]] is function that can be represented in form [[Superfunction]] $F$ for the linear function $T$ by (1) can be written as follows:

2 KB (234 words) - 18:43, 30 July 2019
File:Itelin125T.jpg
Iterates of the linear function [[Category:Linear function]]

(2,088 × 2,088 (893 KB)) - 08:38, 1 December 2018
File:Fz2z1mapT.jpg
[[Complex map]] of function [[Category:Linear fraction]]

(4,175 × 4,175 (1.57 MB)) - 08:36, 1 December 2018
File:Gz2z1mapT.jpg
[[Complex map]] of function [[Category:Abel function]]

(4,175 × 4,175 (1.67 MB)) - 08:37, 1 December 2018