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  • ...tself or to another space, and also the graphical representation of such a function. Such a representation is called '''map'''. ...e. Similarly, the geophysicists use some maps without to know what kind of function (it is called "projection") relates the position of a point on the surface
    14 KB (2,275 words) - 18:25, 30 July 2019
  • it is [[holomorpic function]] in the range that includes the real axis. ...his equation, the [[tetration]] \(\mathrm{tet}\) appears as the [[transfer function]].
    7 KB (1,090 words) - 18:49, 30 July 2019
  • ...of the statistical significance of a “second” peak at the correlation function, using the Poissonian model of random (independent) distribution, that can ...ture for years 1989-2020, fit them with linear function and with quadratic function, and check, if the raise of mean temperature accelerates during 30 years si
    100 KB (14,715 words) - 16:21, 31 October 2021
  • ...or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vicinity it its fixed point A [[fractional iterate]] $\phi$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has
    20 KB (3,010 words) - 18:11, 11 June 2022
  • Function \(F(M,\vec y)\) means some statistical procedure that tries to reveal any p ...rities/peculiarities in it) is to guess a number representable as a linear function of \(X\) with rational coefficients. The set of such numbers has measure ze
    2 KB (368 words) - 18:27, 30 July 2019
  • ...pulses ([[Keller function]]) and for the continuous-wave operation ([[Doya function]])]] '''Transfer function''' \(h\) is expression of the state of the system in terms of its state at
    11 KB (1,644 words) - 06:33, 20 July 2020
  • For a given function \(f\), the '''fixed point''' is solution \(L\) of equation In the simple case, \(f\) is just [[holomorphic function]] of a single variable; then \(L\) is assumed to be a [[complex number]].
    4 KB (574 words) - 18:26, 30 July 2019
  • ...|right|thumb| Comparison of [[Tania function]] (thin curve) to the [[Shoka function]] (thick curve) for real values of the argument]] '''Tania function''' is solution \(f\!=\!\mathrm{Tania}\) of equation
    27 KB (4,071 words) - 18:29, 16 July 2020
  • '''Fourier transform''' is linear integral transform with the exponential [[kernel]]. Let some complex–valued function \(A\) be defined for real values of the argument, id est,
    11 KB (1,501 words) - 18:44, 30 July 2019
  • For a given function \(T\), called [[transfer function]], the holomorphic solution \(F\) of [[Transfer equation]] The inverse function, id est, \(G=F^{-1}\) is called [[Abel function]] with respect to \(T\); it satisfies the [[Abel equation]]
    11 KB (1,565 words) - 18:26, 30 July 2019
  • ...bservable [[physical quantities]] as [[Hermitian operator]]s acting on the linear space of [[vector of state|vectors of state]]. ...m]] is characterized with an element \(\psi\) of the [[linear space]]; any linear combinaiton of the states of a physical system is also interpreted as the s
    7 KB (1,006 words) - 18:26, 30 July 2019
  • ...ерация]]) is function, expressed as repetition of another (iterated) function, that may be called [[iterand]]. Any function by itself is considered as its first iteration.
    14 KB (2,203 words) - 06:36, 20 July 2020
  • Function \(\mathrm {tet}(z)\) is holomorphic in the whole complex plane except the l where \(\eta\) is holomorphic periodic function with period unity,
    14 KB (1,972 words) - 02:22, 27 June 2020
  • The transform \(g\) of a function \(f\) is defined with expression The Fourier transform can be used for the filtering of the function. An example of such a filtering is suggested below.
    6 KB (954 words) - 18:27, 30 July 2019
  • '''Acosc1''' is the holomorphic continuation of function [[ArcCosc]] behind the cut line along the negative part of the real axis. In the text, this function appears with names ArcCosc1, or acosc1;
    6 KB (896 words) - 18:26, 30 July 2019
  • at order \(\nu\) is operator that converts function \(f\) to function \(g=\mathrm{BesselTransform}_\nu(f)\) such that where [[BesselJ]]\(_\nu\) is the [[Bessel function]], and
    8 KB (1,183 words) - 10:21, 20 July 2020
  • '''Cylindric function''' (or cylinder finction or cylindrical function) is class of special functions \(f\) satisfying equation http://encyclopedia2.thefreedictionary.com/Cylindrical+Function
    3 KB (388 words) - 18:26, 30 July 2019
  • where \(f\) is smooth function of real positive argument. One may extend \(f\) to the negative values of t At large \(N\), smoothness and quick decay at infinity is assumed for function \(f\).
    3 KB (421 words) - 18:26, 30 July 2019
  • ...urier]] operator transforms a function \(F\) of non–negative argument to function \(G\) in the following way: Let function \(F\) be smooth and quickly decay at infinity. Then, the transform of \(F\)
    10 KB (1,447 words) - 18:27, 30 July 2019
  • \(T\) is assumed to be [[scalar] function of scalar argument. but the smoothness of function(s) \(q\) is assumed.
    10 KB (1,317 words) - 18:25, 30 July 2019
  • ...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
  • 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
  • [[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]] 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 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
  • ...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
  • ...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: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 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
  • with function daju24 defined below in C++: \rm Linear &227.323 - 0.583872 x &\! 10.52733 &\! 13.15973\\
    5 KB (433 words) - 18:47, 30 July 2019
  • ...eight:12px">Fig.1. Approximation of ruble in the USA penny (green): linear function (black), circle (pink), ellipse (red)</p> ...of rouble, expressed in yen, USA cents and Euro cents, with [[holomorphic function|holomorphic]] functions of time.
    18 KB (2,080 words) - 13:48, 1 February 2022
  • <!--[[File:Rusa2014.10.28t.jpg|400px|thumb|Linear approximation (made 2014.10.27) of price of rouble and data by <ref> https: ...ing 2014 November, the drop of price of ruble looks to be faster, than the linear extrapolation.
    34 KB (944 words) - 07:01, 1 December 2018
  • ...an in spherical coordinates]] is often used for separation of variables in linear equations with central symmetry. or any linear combination of these two solutions; continuity of the wave function implies that \(m\) is integer.
    8 KB (1,254 words) - 18:44, 30 July 2019
  • [[Legendre function]] is solution \(F\) of equation For \(\ell\!=\!1\), the solution is linear function.
    3 KB (442 words) - 18:44, 30 July 2019
  • [[File:TangentGraphic2.png|300px|thumb|Linear approximation of a smooth function <ref>http://en.wikipedia.org/wiki/Linear_approximation ...mation]] refers to the simple model of any phenomenon, based on the linear function.
    4 KB (670 words) - 18:46, 30 July 2019
  • [[File:MoriplotFragment.jpg|400px|thumb| [[Morinaga function]] and the principal Bessel mode]] [[Morinaga function]] \(\displaystyle
    15 KB (2,303 words) - 18:47, 30 July 2019
  • ...tation of a function, continuous at least along the real axis, through the linear combination of equidistantly–displaced functions [[sinc]]: at zero sinc is defined to be unity; then sinc appears to be [[entire function]].
    6 KB (944 words) - 18:48, 30 July 2019
  • any state of this system is determined with the wave function \(\Psi\), ...er equation]], used to construct a [[regular iterate]]s of a [[holomorphic function]] at its [[fixed point]].
    4 KB (641 words) - 18:43, 30 July 2019
  • [[Nemtsov function and its iterates]] is article about the [[Nemtsov function]], adaptation from version, prepared for publication, with goal to check th The Nemtsov function appears as polynomial
    15 KB (2,392 words) - 11:05, 20 July 2020
  • ...m; the Hamiltonian is [[Hermitian operator]] acting on the elements of the linear space mentioned in the Axiom Q1; in one of representations, the evolution o Q3. The measurable quantities of classical mechanics correspond to the linear [[Hemitian operator]]s acting on the space of the states; the Hamiltonian
    6 KB (913 words) - 16:02, 26 July 2019
  • ...state of the physical system is described with [[wavefunction]] (or [[wave function]]), that is element of the [[space]]. the linear combination
    4 KB (618 words) - 18:44, 30 July 2019
  • ...of the statistical significance of a “second” peak at the correlation function, ...on is analysed. A theorem on the evolution of the fourth-order correlation function is presented. It provides the proof of the stability of the fundamental sol
    101 KB (14,271 words) - 20:58, 25 September 2020
  • ...of the statistical significance of a “second” peak at the correlation function, using the Poissonian model of random (independent) distribution, that can ...ture for years 1989-2020, fit them with linear function and with quadratic function, and check, if the raise of mean temperature accelerates during 30 years si
    101 KB (14,846 words) - 00:35, 21 March 2023