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• Main Page
  Also, '''Tori''' ([[User:Tori|鳥]]) is name of first admin of this site (since 2011 to June 2013). TORI is created for the collection and development of concepts satisfying all the 6 axioms below; such concepts are qualified as
  10 KB (1,527 words) - 20:08, 20 July 2023
• McCumber relation
  ...ffective cross-sections of absorption and emission of light in the physics of [[solid-state laser]]s ...<math>\omega</math>, and let <math>~T~</math> be the effective temperature of the medium. The McCumbner relation is
  16 KB (2,521 words) - 15:13, 17 June 2020
• Science
  ...nce]]''' ([[Наука]]) is way of satisfaction of the personal curiosity of researchers, based on concepts satisfying all the 6 axioms below: '''S1. [[Applicability]]''': Each concept has certain limited range of validity, distinguishable from the empty set.
  10 KB (1,565 words) - 21:00, 25 October 2020
• Superfunction
  [[Superfunction]] comes from iteration of some function. ...derbrace{T\Big(T\big(... T(t)...\big)\Big)}} \atop {z \mathrm{~evaluations~of~function~}T\!
  25 KB (3,622 words) - 08:35, 3 May 2021
• Place of science in the human knowledge
  [[Place of Science in the Human Knowledge]] ([[Place of science in the human knowledge]])
  100 KB (14,715 words) - 16:21, 31 October 2021
• Refutability
  ...ь]]) is property of a scientific concept, that determines the possibility of its negation, refutation.<br> ...requirements, postulated for the scientific knowledge at the [[Main Page]] of TORI, as Third [[TORI axiom]].
  44 KB (5,981 words) - 21:41, 22 June 2020
• Verifiability
  ...property of a [[science|scientific]] concept that means, that In the terms of the already accepted concepts, some specific experiment with some specific ...way of verification should exist and formulated at the scientific analysis of the concept.
  6 KB (831 words) - 07:06, 1 December 2018
• Applicability
  ...b|theory of [[Spherical horse in vacuum]] seems to have empty set as range of applicability<ref> ...сть]]) is First of the [[TORI]] axioms; it specifies the fist property of every [[science|scientific concept]]:
  10 KB (1,499 words) - 08:25, 13 January 2019
• Orwell1984
  ...: abutko@gmail.com. Do not copy this image illegally by ignoring the terms of the СС-BY-SA or GNU FDL licenses, as it is not in the public domain. ...ibution, you must make clear to others the license terms of this work. Any of these conditions can be waived if you get permission from the licensor. You
  587 KB (105,318 words) - 13:23, 7 April 2023
• TORI axioms
  ...axioms]] ([[Аксиомы ТОРИ]]) are postulates, used in definition of [[Science]]. ...ated in 2009 as generalization, interpretation of the empiric observations of
  8 KB (1,129 words) - 15:52, 31 October 2021
• 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
• TORI axiom
  ...s one of the [[TORI axioms]]; it refers to one of the following properties of a scientific concept: '''S1. [[Applicability]]''': The concept has some limited range of validity, distinguishable from the empty set.
  2 KB (310 words) - 07:06, 1 December 2018
• Iterate of linear fraction
  [[Iterate_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
  13 KB (2,088 words) - 06:43, 20 July 2020
• 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
• AuSin
  [[AuSin]] is [[inverse function]] of [[SuSin]], \(~\mathrm{AuSin}=\mathrm{SuSin}^{-1}\) \(g=\mathrm{AuSin}~ ~\) is solution of the [[Abel equation]]
  5 KB (761 words) - 18:48, 30 July 2019
• Kori
  [[kori]] function appears 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
• Korias
  [[korias]] is asymptotic approximation of function [[kori]]. where \(L_1\approx 2.4\) is first zero of the Bessel function \(J_0\). The corresponding limit for \(z=1\) is assumed
  2 KB (328 words) - 10:27, 20 July 2020
• Korifit76
  [[korifit76]] is rational aproximation of function [[kori]]\((x)=\displaystyle \frac{J_0(L_1 \sqrt{x})}{1\!-\!x}\) elaborated for the numerical implementation of integrals with function [[nori]]\((x)=\,\)[[kori]]\((x)^2\).
  4 KB (644 words) - 18:47, 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
• Pluralism
  ...jmp.pdf D.Kouznetsov. TORI axioms and the applications in physics. Journal of Modern Physics, 2013, v.4, p.1151-1156. ...76.htm D.Kouznetsov. Support of non-traditional concepts. Far East Journal of Mechanical Engineering and Physics, 1, No.1, p.1-6 (2010)
  6 KB (950 words) - 18:48, 30 July 2019

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