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• Logic
  In particular, the [[natural number]]s are used to characterize non-empty sets that contain more that one eleme ...(and denotes it with character 3) and so on. In such a way, the [[natural number]]s appear.
  8 KB (1,403 words) - 14:24, 20 June 2013
• Factorial
  ...l axis; for non-negative integer values of the argument, this function has integer values. <ref name="IRENE"> ...tly, the [[postfix]] notation <math>n!</math> is used for the factorial of number <math>n</math>.
  27 KB (3,925 words) - 18:26, 30 July 2019
• Tetration
  ...alues of the last argument; the use with any expression, different from an integer constant, causes the error message. \(~q\!=\!\Im(f)\!=\! \mathrm{const}~\). The integer values correspond to the thick lines.
  21 KB (3,175 words) - 23:37, 2 May 2021
• Sextillion
  ...d "sextillion" denotes some specific [[integer number]]. Practically, this number remains indefinite:
  1 KB (153 words) - 18:25, 30 July 2019
• Superfunction
  Such definition is valid only for positive integer <math>z</math>. and extend the range of validity to the negative integer values, at least while the inverse of the Transfer function is holomorphic.
  25 KB (3,622 words) - 08:35, 3 May 2021
• Natural number
  ...postulated. Each element of this class of equivalence is called '''natural number''. This set also has name \(\mathbb N\). name of operation, open parenthesis, natural number, closer parenthesis.
  13 KB (2,014 words) - 18:25, 30 July 2019
• Square root of factorial
  that gave the hint to the evaluation of any, even the non-integer (and even complex) [[iteration]] of almost every [[holomorphic function]]. This representation can be used not only for integer \(c\) but also for the reals and even for complex values of \(c\).
  13 KB (1,766 words) - 18:43, 30 July 2019
• Arcfactorial
  For some [[natural number|natural]] values of argument, ArcFactorial has natural values: At certain specific values of argument, ArcFactorial has half-integer values:
  3 KB (414 words) - 18:26, 30 July 2019
• Mizugadro number
  ...ro number]] ([[Число Мизугадро]]) – the smallest [[natural number]], that still allows to see an internal contradiction in the system [[axiom The term [[Mizugadro number]] can be used as symbol of violation of the basic axioms of arithmetics in
  9 KB (1,393 words) - 00:41, 7 July 2020
• Regular Iteration
  where $K=\exp(k)$ and $N$ is [[natural number]]. for some appropriate integer $m$ allows to get the required precision of the evaluation due the exponent
  20 KB (3,010 words) - 18:11, 11 June 2022
• SuperFactorial
  The smallest integer larger than 2 (id est 3) is chosen as its value at zero, \(\mathrm{SuperFac Here, the upper index of a function indicates the number of [[iteration]]s.
  18 KB (2,278 words) - 00:03, 29 February 2024
• Transfer equation
  ...Hilbert space, when \(h\) and \(F\) have values from the set of [[complex number]]s, the problem of finding of [[superfunction]] \(F\) for given transfer fu ...f complex numbers, where the number \(c\) of iterations have no need to be integer;
  3 KB (519 words) - 18:27, 30 July 2019
• Abel function
  ...of \(z\) and \(n\) from the set of [[complex number]]s. In particular, for integer values of \(n\), The non-integer iteration of function allows to express such functions as
  4 KB (547 words) - 23:16, 24 August 2020
• Abel equation
  ...al, parameters \(c\) and \(d\) have no need to be integer. For the case of integer iterations, \(T^{-1}\) is inverse function of \(T~, ~ ~\) ...y (3) can be easily iterated arbitrary number of times, in particular, non-integer and even complex iteration is available.
  4 KB (598 words) - 18:26, 30 July 2019
• Navier-Stokes from variational principle
  ...med to be functions of \(x_1, x_2, x_3\) ; \(k\) and \(j\) and \(i\) take integer values from unity to \(3\); \(q\) is constant. ...ive with respect to specified coordinate, time is assumed to be coordinate number zero. Summation is assumed over the repeating indices. The power two in (\(
  5 KB (737 words) - 18:26, 30 July 2019
• Nest
  ...of iterated function, \(z\) is initial value of the argument, and \(c\) is number of iterations. The third (and last) argument indicates the number of iterations.
  3 KB (438 words) - 18:25, 30 July 2019
• Fixed point
  ...c function]] of a single variable; then \(L\) is assumed to be a [[complex number]]. ...se, any real number is approximated as ratio of some integer number to the integer constant that is the same for all numbers. To avoid confusions, the term [[
  4 KB (574 words) - 18:26, 30 July 2019
• Mathematics
  ...ost general science that deals with [[logic]]s, sets, various classes of [[number]]s and other constructions in the formal axiomatic way through the [[defini initially, mathematicians used to work with integer numbers and simple geometric (perhaps, bidimentional) figures. Then mathema
  3 KB (405 words) - 04:09, 1 July 2020
• Mathematica
  ...he \(f^c\) is allowed only for an integer values of \(c\) (reducible to an integer constant); any other value causes the error messages. ...ing of light with pinholes. hysical Sciences Volume 9 Number 20 30 October, 2014 ISSN 1992-1950, pages 444-453 </ref> in the [[paraxial
  12 KB (1,901 words) - 18:43, 30 July 2019
• Class of equivalence
  ...as classes of equivalence between sets that, roothily speaking, have equal number of elements. ...sense and everyday's observations, in schools, the properties of [[natural number]]s are usually postulated. Then these postulates axioms are used for new co
  7 KB (1,216 words) - 18:25, 30 July 2019

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