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• Natural number
  '''Natural numbers''' is special set, [[class of equivalence]] on the sets, that indic ...perties postulated. Each element of this class of equivalence is called '''natural number''. This set also has name \(\mathbb N\).
  13 KB (2,014 words) - 18:25, 30 July 2019
• Natural pentation
  [[Natural pentation]] is [[pentation]] to base \(\mathrm e\!=\!\exp(1)\!\approx\!2.71 [[Natural pentation]] is denoted with symbol pen; it is assumed that \(\mathrm{pen}=\
  7 KB (1,090 words) - 18:49, 30 July 2019
• Natural tetration
  [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\). Natural tetration is denoted as \(\mathrm {tet}\) or \(\mathrm {tet}_{\mathrm e}\);
  14 KB (1,972 words) - 02:22, 27 June 2020

Page text matches

• McCumber relation
  ...f each of laser levels leads to the broadening which greatly exceeds the [[natural spectral linewidth]]. In the case of an ideal two-level atom, the product o
  16 KB (2,521 words) - 15:13, 17 June 2020
• Meganedia, deportation
  ...eserved, and in some places this freedom is even greater than in the West. Natural resources and a number of industries are nationalized, and the practice of ...re dissatisfied with the culture, which society produces and consumes in a natural way. You see what is protected under the guise of culture! Not Homer, not S
  135 KB (24,381 words) - 13:33, 30 October 2020
• Logic
  In particular, the [[natural number]]s are used to characterize non-empty sets that contain more that on ..."three" (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
• Натуральное число
  Links to the textbooks about natural numbers should be typed here
  15 KB (275 words) - 18:33, 30 July 2019
• Fukushima disaster
  ...Power Company (TEPCO) and the regulators were aware of the risk from such natural disasters, neither had taken steps to put preventive measures in place. Thi
  42 KB (5,776 words) - 12:14, 20 November 2021
• Fukushima catastrophe
  ...Power Company (TEPCO) and the regulators were aware of the risk from such natural disasters, neither had taken steps to put preventive measures in place. Thi
  45 KB (6,219 words) - 15:14, 21 August 2019
• Tetration
  Natural [[tetration]] (dashed) and other [[Ackermann function|ackermanns]] The case of [[natural tetration]] refers to base \(b\!=\!\mathrm e\! \approx\! 2.71~\); this case
  21 KB (3,175 words) - 23:37, 2 May 2021
• Fukushima disaster, timeline of links
  ...try of Economy, Trade and Industry, the director general of the Agency for Natural Resources and Energy and the head of the country’s nuclear regulator will ...an has been accused of fumbling his government's response to Japan's worst natural crisis since the Second World War, sparked by the 11 March earthquake and t
  146 KB (19,835 words) - 18:25, 30 July 2019
• Russia used the nuclear weapon in 2011
  </ref>; the explosion cold be synchronized to the strong shock caused by the natural tectonic activity.
  16 KB (1,499 words) - 18:26, 30 July 2019
• Fukushima disaster, questions
  In the most of reactors, the working medium is water vapor. This was natural solution for the first reactors of the past century, as analogy with even o
  26 KB (3,915 words) - 18:25, 30 July 2019
• What 10 Years of Putin Have Brought
  ...at this rate for some time to come as a result of high mortality rates and natural ageing of the population. The loss of a million able-bodied people is the e ...Autonomous Region, Sakhalin, and the Tomsk Region) and regions with other natural resources (Krasnoyarsk, Yakutia).
  92 KB (14,748 words) - 18:44, 30 July 2019
• Geiger counter
  ..., the USSR become completely dependent on the import of food and export of natural resources (mainly, gas and oil).
  17 KB (2,705 words) - 18:25, 30 July 2019
• Tsunami
  ...tsunami, and many videos of tsunamis are filmed from such constructions or natural hills. Perhaps, with building of the metal-concrete homes of several stores
  23 KB (2,888 words) - 12:21, 28 December 2018
• Katyn-2
  ...wide company of misinformation in the Russian mass media. Therefore, it is natural to suspect the ruling party of the country.
  107 KB (7,830 words) - 15:02, 4 January 2022
• Superfunction
  <math>L^*</math> of natural logarithm. At <math>c\!\ge\! 0</math>, function <math>\exp^c(z)</math> rema W.Paulsen, “FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x),” Korean Journal of Mathematics, vol. 24, no
  25 KB (3,622 words) - 08:35, 3 May 2021
• Natural number
  '''Natural numbers''' is special set, [[class of equivalence]] on the sets, that indic ...perties postulated. Each element of this class of equivalence is called '''natural number''. This set also has name \(\mathbb N\).
  13 KB (2,014 words) - 18:25, 30 July 2019
• Natural pentation
  [[Natural pentation]] is [[pentation]] to base \(\mathrm e\!=\!\exp(1)\!\approx\!2.71 [[Natural pentation]] is denoted with symbol pen; it is assumed that \(\mathrm{pen}=\
  7 KB (1,090 words) - 18:49, 30 July 2019
• Place of science in the human knowledge
  ...h, the goal and the methods, that dominate in the research: humanitarian - natural, fundamental - applied and theoretic - experimental.
  100 KB (14,715 words) - 16:21, 31 October 2021
• Square root of factorial
  It would be natural, first, to drill works by [[Schroeder]] and [[Henryk Abel|Abel]], to analyz ...vents happened in a reverse order. First, the most complicated case with [[natural tetration]] was considered
  13 KB (1,766 words) - 18:43, 30 July 2019
• Abel theorem
  ...lication, division, raising to a natural degree and extraction of roots of natural degree.
  2 KB (320 words) - 18:25, 30 July 2019
• Arcfactorial
  For some [[natural number|natural]] values of argument, ArcFactorial has natural values:
  3 KB (414 words) - 18:26, 30 July 2019
• Mizugadro number
  [[Mizugadro number]] ([[Число Мизугадро]]) – the smallest [[natural number]], that still allows to see an internal contradiction in the system ...ithmetics as the only way to have "qualitative changes" in the sequence of natural numbers in the USSR were suppressed <ref name="lessonmat">
  9 KB (1,393 words) - 00:41, 7 July 2020
• Regular Iteration
  where $K=\exp(k)$ and $N$ is [[natural number]]. ...to tetration [[tetration|tet]]$_b$ at $1\!<\!b\!<\!\exp(1/\mathrm e)$, the natural choose of the cut of the logarithm leads to the set of parallel cut lines t
  20 KB (3,010 words) - 18:11, 11 June 2022
• Stochastic conjecture
  Let \(\mathbb N_+\) be set of natural numbers.
  2 KB (368 words) - 18:27, 30 July 2019
• SuperFactorial
  ...when the last argument can be simplified to an constant , expressed with a natural number.
  18 KB (2,278 words) - 00:03, 29 February 2024
• Earthquake
  The origin of earthquakes is attributed to the natural, [[geological processes]];
  4 KB (632 words) - 18:26, 30 July 2019
• Refutability
  The biggest natural number, for which the axioms of [[arithmetics]] are still self-consistent, The concept of [[natural number]]s, together with the system of theorems about them, is refutable.
  44 KB (5,981 words) - 21:41, 22 June 2020
• Logarithm
  ...l exponential, id est, exponential to base [[e]], the logarithm is called "natural" In languages [[C++]], [[Fortran]], [[Matlab]], [[Maple(software)|Maple]], the natural logarithm of variable \(x\) is denoted with
  4 KB (661 words) - 10:12, 20 July 2020
• Life
  ...formed in the USSR by the [[soviet veterans]] who tried to demonstrate the natural origin of life. The soviet veterans (Oparin, Lysenki et al.) used the physi
  3 KB (503 words) - 14:31, 20 June 2013
• Biogenesis
  The slowness of the natural evolution at the scale of order of age of the Earth can be considered as ev <i>// the evidential situation of natural (as opposed to revealed) theology has been transformed in the more than fif
  16 KB (2,012 words) - 01:09, 31 December 2018
• Japan
  ...Power Company (TEPCO) and the regulators were aware of the risk from such natural disasters, neither had taken steps to put preventive measures in place. Thi
  15 KB (2,106 words) - 13:37, 5 December 2020
• Genesis
  [[God]] had created the [[Logics]] and [[natural number]]s. God looked at the logics and numbers and saw, that the logic and
  8 KB (1,296 words) - 00:19, 25 June 2020
• ArcTetration
  For base \( b\!=\!\mathrm e \!\approx\! 2.71 \), the natural ArcTetration is presented in figure at right with the [[complex map]]. For For \( b=\mathrm e\), which refers to the "natural tetration", the 14-digit complex(double) [[C++]] implementation is availabl
  7 KB (1,091 words) - 23:03, 30 November 2019
• Mathematics
  ...er.pdf Eugene Wigner. The Unreasonable Effectiveness of Mathematics in the Natural Sciences. Communications in Pure and Applied Mathematics, vol. 13, No. I (F [[natural number]]
  3 KB (405 words) - 04:09, 1 July 2020
• Mathematica
  ...t'''. However, in the current version (at least up to year 2011), the only natural constants are allowed as values of the number of iterations. Fore some func
  12 KB (1,901 words) - 18:43, 30 July 2019
• Class of equivalence
  ==Natural numbers== The [[natural numbers]] can be considered as classes of equivalence between sets that, ro
  7 KB (1,216 words) - 18:25, 30 July 2019
• Will Japan exist until 2084
  ...jective: one may arguably consider the addition of 0.1 microSv/hour to the natural background as serious contamination, or to allow 1microSv/hour. Perhaps, ev
  9 KB (1,366 words) - 15:59, 22 October 2021
• Doya function
  ..., with coefficient of amplivication of small signal equal to the [[base of natural logarithm]]; the simple two–level model for the kinetics of the excitatio
  19 KB (2,778 words) - 10:05, 1 May 2021
• Fourier transform
  ...!\!\!\!\!\!\!\!\!\!\!\!\displaystyle (17) ~ ~ ~ x_j = (j-N/2) d ~\) for [[natural number]] \(~j~\); \(~0\le j < N\) It is convenient to chose \(N=2^m\) for some natural number \(m\); then the fast implementation of such a summation is especiall
  11 KB (1,501 words) - 18:44, 30 July 2019
• FFT
  where \(N\) is natural number; usually, \(2^n\) for some natural \(n\);<br>
  6 KB (1,010 words) - 13:23, 24 December 2020
• Iteration
  ...ly for the cases, when number \(n\) of iterations can be simplified to a [[natural number]], expressed with integer constant. Attempts to call [[Nest]] to eva
  14 KB (2,203 words) - 06:36, 20 July 2020
• Laws of arithmetics
  Usually, the Laws of arithmetics are formulated for the [[natural number]]s.
  924 bytes (142 words) - 14:33, 20 June 2013
• Natural tetration
  [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\). Natural tetration is denoted as \(\mathrm {tet}\) or \(\mathrm {tet}_{\mathrm e}\);
  14 KB (1,972 words) - 02:22, 27 June 2020
• PGM
  The Second line of the PGM file contains two natural in the decimal ascii.
  9 KB (1,551 words) - 18:26, 30 July 2019
• Coherent atomic energetics
  ...should refer to the use of the energy of systems that are available in the natural resources. The most pretentious would be coherent synthesis of the helium n ...nsume only few very specific kinds of compounds, that are not available as natural resources.
  10 KB (1,625 words) - 18:44, 30 July 2019
• Iterated integral
  The simple case of natural \(n\) can be generalized for integer rational and even complex values of \( at least for natural number \(n\). However, there are seductions to use such an expression also
  9 KB (1,321 words) - 18:26, 30 July 2019
• El sueño
  ...U.A., donde colabora en el Departamento de Botánica del Museo de Historia Natural del Smithsonian, 2011.
  6 KB (1,144 words) - 14:34, 20 June 2013
• Russia
  The Russianl "Academy of natural sciences" [[RAEN]] act as a tread-union of pseudo-scientists. For example,
  11 KB (1,243 words) - 18:25, 30 July 2019
• Fsexp.cin
  // '''fsexp.cin''' is routine for the fast evaluation of [[natural tetration]] [[Natural tetration]], [[tetration]]
  9 KB (654 words) - 07:00, 1 December 2018
• ArcCip
  ...is reason, the natural chose for the name of function Cip is [[cosc]], and natural name of the inverse function if arccosc=[[ArcCosc]].
  8 KB (1,211 words) - 18:25, 30 July 2019
• Devchonka philosophy
  Ikebana is not natural, it is artificial. But sake is natural!
  18 KB (809 words) - 14:39, 26 January 2019
• Cosc
  </ref>. Therefore, the natural choice for the similar function with [[cos]] instead of [[sin]] is [[cosc]]
  4 KB (649 words) - 18:26, 30 July 2019
• ArcFactorial
  For some [[natural number|natural]] values of argument, ArcFactorial has natural values:
  3 KB (376 words) - 18:26, 30 July 2019
• Bessel transform
  \(\nu\) is assumed to be real number; in many applications \(\nu\) is [[natural number]] or just zero.
  8 KB (1,183 words) - 10:21, 20 July 2020
• History
  The critics of application of the axioms in non-natural sciences are available in Russian in articles [[Философия Ю]] and
  8 KB (1,149 words) - 21:13, 9 March 2021
• Bessel function
  The similar expansion for \(Y_n\) at natural \(n\!+\!1\) looks ugly: For half–natural \(\nu\), the singularity of \(\Gamma\) terminates the series and they becom
  13 KB (1,592 words) - 18:25, 30 July 2019
• Счетчик Гейгера
  ..., the USSR become completely dependent on the import of food and export of natural resources (mainly, gas and oil).
  24 KB (2,705 words) - 14:47, 18 August 2019
• CosFourier
  Assume some large natural number \(N\). Let \(x_n=\sqrt{\pi/N}~ n\).
  6 KB (915 words) - 18:26, 30 July 2019
• Discrete Fourier
  For natural number \(N>1\), the '''Discrete Fourier''' is operator \(\hat ふ_N\) ...on of the Discrete Fourier is especially efficient when \(N=2^k\) for some natural number \(k\).
  6 KB (1,032 words) - 18:48, 30 July 2019
• DiscreteCos
  For the simple and efficient implementation, \(N=2^q\) for some natural number \(q\). Note that the size of the arrays is for unity smaller than in For the simple and efficient implementation, \(N=2^q\) for some natural number \(q\). For the properties and the numerical implementation and the
  3 KB (482 words) - 18:26, 30 July 2019
• DCTIV
  ...in the identifier and avoid confusion with operation of substruction. For natural number \(N\), the \(\mathrm{DCTIV}_N\) acts on the array \(f\) of length \(
  3 KB (421 words) - 18:26, 30 July 2019
• DCTI
  For the discrete approximation of this operator, assume some large natural number \(N\). Let \(x_n=\sqrt{\pi/N}~ n\). Assume some large natural number \(N\). Let \(\displaystyle x_n=\frac{\pi}{N} n\). For approximation
  10 KB (1,447 words) - 18:27, 30 July 2019
• DCT
  ..., aiming the efficient implementation, it worth to keep \(N=1^q\) for some natural number \(q\). For this reasons, for some transforms, the required arrays ha
  10 KB (1,689 words) - 18:26, 30 July 2019
• DCTII
  For a given natural number \(N\), operator \(\mathrm{DCTII}_N\) converts any array \(F\) of len For the simple and efficient implementation, \(N=2^q\) for some natural number \(q\). Note that the size of the arrays is for unity smaller than in
  5 KB (682 words) - 18:27, 30 July 2019
• Zcosft2.cin
  // n is number of elements; \(n=2^q\) for some natural \(q\).
  2 KB (385 words) - 18:47, 30 July 2019
• DCTIII
  For a given natural number \(N\), operator \(\mathrm{DCTIII}_N\) converts any array \(F\) of le For the simple and efficient implementation, \(N=2^q\) for some natural number \(q\). Note that the size of the arrays is for unity smaller than in
  6 KB (825 words) - 18:25, 30 July 2019
• Female logic
  In order to distinguish the true statements from the false ones, men use the natural and sobrenatural (humanitarian) sciences, but since the Adam, did not advan
  34 KB (5,616 words) - 05:52, 18 November 2021
• LogisticSequence
  The LogisticSequence seems to be the most "natural" and most "physical" extension of the integer sequence considered in the li
  7 KB (886 words) - 18:26, 30 July 2019
• Keller function
  ..., with coefficient of amplivication of small signal equal to the [[base of natural logarithm]]; the simple two–level model for the kinetics of the excitatio
  10 KB (1,479 words) - 05:27, 16 December 2019
• Metamaterial
  ...ance with non-trivial properties that may not be realized with homogeneous natural products. Often it is assumed, that dielectric or magnetic constants of a m
  1 KB (149 words) - 15:01, 20 June 2013
• Power function
  Even if some of these operations are not yet defined, \(z^n\) for natural number \(n\) can be considered as just iteration of function "multiplicatio
  15 KB (2,495 words) - 18:43, 30 July 2019
• Tsunami postulate
  ...Power Company (TEPCO) and the regulators were aware of the risk from such natural disasters, neither had taken steps to put preventive measures in place. Thi ...Power Company (TEPCO) and the regulators were aware of the risk from such natural disasters, neither had taken steps to put preventive measures in place. Thi
  5 KB (784 words) - 15:01, 20 June 2013
• SuTra
  for some [[natural number]] \(M\).
  9 KB (1,285 words) - 18:25, 30 July 2019
• Aleksandr Tkachev
  ...uantities he is talking about. In particular, defenfing the version of the natural (and not human-made) disaster at Krymsk, Tkachev had suggested the estimate
  31 KB (669 words) - 03:57, 2 February 2019
• Revolution
  ...e [[TORI axiom]]s, which were formulated initially for applications in the natural science and, especially, for the [[Laser Science]]. The term [[social revol
  14 KB (1,372 words) - 07:04, 1 December 2018
• Selfconsistency
  ...cience and technology were developing at a prodigious speed, and it seemed natural to assume that they would go on developing. This failed to happen, partly b
  6 KB (944 words) - 18:25, 30 July 2019
• Applicability
  ...us costai - Foto Giovanni Dall'Orto 22-Apr-2007.jpg|200px|right|thumb| <!--Natural history museum in Milan, Italy. A !-->Coelodus costai fossil. Picture by Gi
  10 KB (1,499 words) - 08:25, 13 January 2019
• ВАК
  ...hunks of Mr. Putin’s mid-1990s economics dissertation on planning in the natural resources sector were lifted straight out of a management text published by
  20 KB (386 words) - 15:04, 20 June 2013
• Orwell1984
  ...t grew worse as one’s body aged, was it not a sign that this was NOT the natural order of things, if one’s heart sickened at the discomfort and dirt and s ...to distort it and dirty it. He did not know why this was so, but it seemed natural that it should be so. And as far as the women were concerned, the Party’s
  587 KB (105,318 words) - 13:23, 7 April 2023
• Созвездие Эректуса
  2.37 MB (5,259 words) - 20:13, 16 February 2019
• Maps of tetration
  [[File:Ack4b600.jpg|400px|thumb|Natural base, \(b=\mathrm e \approx 2.71\)]]
  5 KB (761 words) - 12:00, 21 July 2020
• Mizugadro number dream
  - This would mean, that there exist the biggest natural number.
  10 KB (1,794 words) - 07:02, 1 December 2018
• Putin world war
  ...orităţilor de la Bucureşti, motivul pentru care se va renunţa la gazul natural de la Răsărit este reducerea consumului, în urma închiderii unor compan
  148 KB (18,467 words) - 18:50, 13 January 2022
• Superlogarithm
  ...reasonable solution of this equation can be easily expressed through the [[natural tetration]] tet, Also, [[Superlogarithm]] may refer to the natural [[ArcTetration]] \(\mathrm{ate}=\mathrm{tet}^{-1}\), reminding that it is [
  1 KB (173 words) - 19:31, 30 July 2019
• Tet
  #redirect[[Natural tetration]]
  30 bytes (3 words) - 07:06, 1 December 2018
• Mathematical notations
  ...wn [[a priori]], for example, the equality, basic arithmetical operations, natural numbers, numbers e and <math>\pi</math>, etvetera. Such names form the basi ...o construct the set of [[natural number]]s; it is postulated, that for any natural number \(x\),
  5 KB (753 words) - 18:47, 30 July 2019
• Iterate of exponential
  ...ted in such a way, that number \(n\) of iteration should be expressed with natural constant, positive integer number
  7 KB (1,161 words) - 18:43, 30 July 2019
• Bible
  eye was not dim, nor his natural force abated. their women did change the natural use into that which is against
  4.15 MB (793,089 words) - 18:44, 30 July 2019
• Superfunctions
  At the front cover, the [[complex map]] of [[natural tetration]] is shown. Finding the natural solution to f(f(x))=exp(x).
  15 KB (2,166 words) - 20:33, 16 July 2023
• Ackermann function
  ==Natural ackermanns== ...\approx 2.71\) are called "natural", although in other context the word [[natural]] may have pretty different meanings. If the base is \(\mathrm e\), it may
  10 KB (1,534 words) - 06:44, 20 July 2020
• Analuxpf3c.cin
  ...\(\mathrm{Fit}_3\) and related functions, that provides approximation of [[natural tetration]] for moderate values of the argument. [[Category:Natural titration]]
  1 KB (253 words) - 18:48, 30 July 2019
• Annexation of Crimea
  ...o Europe bypassing Russia, in other to keep monopoly for export of oil and natural gas into Europe. Thus goal, at least until year 2016, seem so be achieved.
  31 KB (4,003 words) - 20:16, 13 March 2020
• Collapse of RF
  The federal organisations cannot protect the regions from crime, nor from natural disasters, because the funds assigned from the Federal budget are washed-ou ...alicious, and uneducated people are coming to the fore. This is the law of natural selection in degenerating systems. Soon it will turn out that even these pe
  14 KB (1,958 words) - 19:19, 6 August 2022
• El sueño
  ...U.A., donde colabora en el Departamento de Botánica del Museo de Historia Natural del Smithsonian, 2011.
  6 KB (1,144 words) - 07:00, 1 December 2018
• Exotic iteration
  For some fixed natural number \(M>0\), the asymptotic expansion of the superfunction \(f\) can be
  11 KB (1,715 words) - 18:44, 30 July 2019
• F15.cin
  //z_type Zc=z_type(.31813150520476413,-1.3372357014306895); // Natural base
  2 KB (272 words) - 07:00, 1 December 2018
• Fsexp.nb
  (* [[Fsexp.nb]] is routine in [[Mathematica]] that evaluates the natural [[tetration]] tet; call SEXP[z] <poem> *)
  7 KB (306 words) - 07:00, 1 December 2018
• Fslog.nb
  (* Fslog.nb is routine in Mathematica that evaluates the natural arctetration tet; call SLOG[z] <poem> *)
  3 KB (126 words) - 07:00, 1 December 2018
• Global warming
  ...wn that the changes occurring to planetary weather patterns are completely natural and normal. But the space agency, for whatever reason, has chosen to let th
  17 KB (2,317 words) - 15:00, 2 December 2021
• Hambury
  "What've you got there; isn't that natural food? I thought that all ...gle word about any food, but this looks as natural cheese, natural ham and natural fruits," said Mrs, Phelps, eating the juicy nectarine.
  13 KB (2,020 words) - 07:01, 1 December 2018

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