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• Logic
  ...>FALSE</i>. In particular, after establishment of rules of operations with integer numbers, one knows that a value has expression the [[integer number]]s can be constructed as a certain class of
  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"> For integer <math>n</math>, the <math>n!</math> gives the number of ways in which ''n''
  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
• Mapping
  ...using the apparatus of [[superfunction]]s; in the similar way, various non-integer (and even complex) iterates of various holomorphic functions can be built-u
  14 KB (2,275 words) - 18:25, 30 July 2019
• Sextillion
  Some authors pretend that word "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
  ...to. In the similar way, the same sign is used to indicate equivalence of [[integer number]]s, [[integer number]]s, [[rational number]]s, [[real number]]s, and so on.
  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
  At certain specific values of argument, ArcFactorial has half-integer values:
  3 KB (414 words) - 18:26, 30 July 2019
• Mizugadro number
  ...the axioms of arithmetics for such a huge number (nor even store it as an integer constant). ...ould be considered as very good approximation for practical operation with integer quantities.
  9 KB (1,393 words) - 00:41, 7 July 2020
• Holomorphic extension of the Collatz subsequence
  Journal of Integer Sequences, Vol. 11 (2008), Article 08.4.7. For integer values of \(n\), the Collatx transfer function
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  for some appropriate integer $m$ allows to get the required precision of the evaluation due the exponent ...in the case of [[tetration]] and the superfunction is equal to the minimal integer values still bigger than $L$, for the growing along the real axis superexpo
  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 for integer values of the argument and with relatively simple integral
  18 KB (2,278 words) - 00:03, 29 February 2024
• Transfer equation
  ...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
• Transfer function
  for various \(c\). In particular, for integer values of \(c\),
  11 KB (1,644 words) - 06:33, 20 July 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.
  5 KB (737 words) - 18:26, 30 July 2019
• Nest
  ...ous defect: the number of iterations should allow the simplification to an integer constant. The intents to call function [[Nest]] with any other expression a ...esentation cannot be used even to plot graphics of these functions for non-integer number of iterates.
  3 KB (438 words) - 18:25, 30 July 2019
• Fixed point
  ...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

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