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• AuTra
  [[AuTra]] is the [[inverse function]] of [[SuTra]]. [[AuTra]] is [[Abel function]] of the [[Trappmann function]], \(\mathrm{tra}(z)=z+\exp(z)\).
  6 KB (1,009 words) - 18:48, 30 July 2019
• Nori
  ...[[nori]] is used in TORI to denote holomorphic function, that in vicinity of the real axis \(\Re(z\ge 0\)) can be expressed through the [[morinaga funct ...n [[sqrt]] at negative values of the argument is compensated with symmetry of function [[mori]],
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superfunctions
  ...on]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions. In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented.
  15 KB (2,166 words) - 20:33, 16 July 2023
• 2014.12.26rubleDollar
  ...alue of hundred of Russian roubles, measured in the USA cents, for the end of year 2014. ...nate \(x\) has sense of time, measured in days since the date of beginning of the project,
  5 KB (433 words) - 18:47, 30 July 2019
• Amplitude of oscillator function
  ...unction]] \(A_n\!=\)[[Amos]]\((n)\), for even \(n\), is amplitude of value of the [[oscillator function]] at zero, normalised solution of the stationary [[Schroedinger equation]] for the Harmonic oscillator.
  6 KB (770 words) - 18:44, 30 July 2019
• Analuxpf3c.cin
  ..., that provides approximation of [[natural tetration]] for moderate values of the argument. // This fit had been used to guess the asymptotic behaviour of [[tetration]] at \(\mathrm i \infty\).
  1 KB (253 words) - 18:48, 30 July 2019
• Approximations of ruble
  [[File:Roublellip.png|240px]]<p style="line-height:12px">Fig.1. Approximation of ruble in the USA penny (green): linear function (black), circle (pink), ell ...cents and Euro cents, with [[holomorphic function|holomorphic]] functions of time.
  18 KB (2,080 words) - 13:48, 1 February 2022
• ArqNem
  [[ArqNem]] is one of the [[inverse function]]s of the [[Nemtsov function]] Nem: ...cify value of parameter \(q\), it is indicated as subscript after the name of function Nem or ArqNem.
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  [[AuNem]] is [[Abel function]] of the [[Nemtsov function]], \(\mathrm{Nem}_q(z)=z+z^3+q z^4 ~ ~\), where \(q~ Value of \(q\) can be indicated as subscript after the name of the function.
  9 KB (1,441 words) - 18:45, 30 July 2019
• Base sqrt2
  ...of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...f [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show
  3 KB (557 words) - 18:46, 30 July 2019
• Conjecture on superfunctions
  http://en.wikipedia.org/wiki/File:Boy_on_snow_sled,_1945.jpg Father of JGKlein. Boy on snow sled, 1945. ...n of sin is expressed with sinˆn(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. ..
  7 KB (1,031 words) - 03:16, 12 May 2021
• Discrete Bessel
  [[Discrete Bessel]] is one of the discrete approximations of the [[Bessel transform]]. Let the Bessel transform \(f\) of function \(g\) be defined with
  8 KB (1,153 words) - 18:44, 30 July 2019
• Eigendecomposition
  For a given square matrix \(A\), [[eigendecomposition]] means finding of set of vectors \(v\) such that If \(\lambda =1\), then the eigenvector has sense of [[fixed point]] of matrix \(A\).
  4 KB (518 words) - 18:46, 30 July 2019
• Gauss-Laguerre quadrature
  [[Gauss-Laguerre quadrature]] is approximation of integral of exponentially decaying function with the finite sum defined as follows: \(M\) is integer number (and should be for the precise approximation at non–polynomial \(f\), number \(M\) should be large)
  7 KB (997 words) - 18:44, 30 July 2019
• Kori
  ...in the calculus of the loss in the [[pinhole waveguide]] in the [[paraxial approximation]]. The integrand for the overlapping of the [[Bessel mode]] to the propagated [[Bessel mode]] is expressed through
  14 KB (1,943 words) - 18:48, 30 July 2019
• Linear approximation
  [[File:TangentGraphic2.png|300px|thumb|Linear approximation of a smooth function <ref>http://en.wikipedia.org/wiki/Linear_approximation [[Linear approximation]] refers to the simple model of any phenomenon, based on the linear function.
  4 KB (670 words) - 18:46, 30 July 2019
• Maga
  ...jpg|300px|thumb|\(y\!=\!\mathrm{maga}(x)\) (thick black curve) and related functions]] ...aga]] appears at the consideration of the principal mode guided by the set of pinholes, and expresses the
  8 KB (1,256 words) - 18:44, 30 July 2019
• Morinaga function
  ...ars at the consideration of guiding of the paraxial wave packet by the set of pinholes. Plot of the [[Morinaga function]] is shown in the top figure. For comparison, the B
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...simple combination of the [[Bessel function]] [[BesselJ0]] with elementary functions: where \(L_1\!=\)[[BesselJZero]][0,1]\(\approx\! 2.4\) is the first zero of the Bessel function; \(J_0(L_1)=0\).
  5 KB (750 words) - 10:00, 20 July 2020
• Nyquist theorem
  ...the real axis, through the linear combination of equidistantly–displaced functions [[sinc]]: For the [[Nyquist theorem]] it is convenient to scale the argument of the [[sinc]] function, working with function [[sink]] such that
  6 KB (944 words) - 18:48, 30 July 2019

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