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• Ordinal number
  ...the same cardinality. The smallest ordinal having a given cardinal as its cardinality is called the initial ordinal of that cardinal. Every finite ordinal (natu ...der type of that set), <math>\omega_2</math> is the smallest ordinal whose cardinality is greater than <math>\aleph_1</math>, and so on, and <math>\omega_\omega</
  29 KB (4,819 words) - 16:23, 9 January 2007
• User:Jon Awbrey/DIFF
  | cardinality n | cardinality n | cardinality n | cardinality ''n''
  353 KB (17,505 words) - 16:10, 26 May 2007
• User:Jon Awbrey/SEQUENCES
  * or minimum inverse function and may also have the fiber cardinality * first positive integer whose rote height is n, the fiber cardinality
  103 KB (10,321 words) - 18:48, 31 January 2010
• User:Jon Awbrey/ATLAS
  | cardinality n | cardinality n | cardinality n | cardinality ''n''
  463 KB (31,052 words) - 15:00, 25 August 2007
• Boolean algebras canonically defined
  ...te Boolean algebra is [[isomorphic]] to some power set algebra. Hence the cardinality (number of elements) of a finite Boolean algebra is a power of 2, namely on ...at it simplifies the definition of homomorphism between CABAs of different cardinality.) Such an algebra can be defined equivalently as a complete Boolean algebr
  46 KB (7,114 words) - 18:24, 2 October 2007
• Relation reduction
  * If <math>X\!</math> is a finite set, the ''cardinality'' of <math>X,\!</math> written <math>\mathrm{card}(X)\!</math> or <math>|X|
  29 KB (4,035 words) - 03:32, 15 November 2015
• Pragmatic Semiotic Information
  Just to make up a discrete example, let us suppose that the cardinality of this choice is a finite ''n'', and just to make it fully concrete let us
  20 KB (2,552 words) - 15:16, 2 March 2024
• Semiotic Information
  Just to make up a discrete example, let us suppose that the cardinality of this choice is a finite ''n'', and just to make it fully concrete let us
  20 KB (2,557 words) - 15:36, 5 November 2020
• Directory:Jon Awbrey/Papers/Semiotic Information
  Just to make up a discrete example, let us suppose that the cardinality of this choice is a finite ''n'', and just to make it fully concrete let us
  20 KB (2,560 words) - 14:10, 29 October 2016
• Directory:Jon Awbrey/Papers/Cactus Rules
  altogether ranking a cardinality of 2^(2^k) functions, there are several standard subsets of cardinality 2^k
  343 KB (13,950 words) - 02:46, 23 May 2009
• Relation theory
  ...to be ''<math>c\!</math>-regular at <math>j\!</math>'' if and only if the cardinality of the local flag <math>L_{x \operatorname{at} j}\!</math> is <math>c\!</ma
  25 KB (3,665 words) - 21:04, 16 November 2015
• Directory:Jon Awbrey/Essays/Inquiry Driven Systems : Fields Of Inquiry
  ...s be collected in the set <math>V = \{ x_{j+1}, \ldots, x_n \}\!</math> of cardinality <math>k = n - j.\!</math>
  150 KB (18,770 words) - 15:54, 26 December 2020
• Directory:Jon Awbrey/MathJax Problems
  ...of uncertainty, let us use either the multiplicative measure given by the cardinality of <math>X,\!</math> commonly notated as <math>|X|,\!</math> or else the ad
  59 KB (5,442 words) - 19:40, 8 November 2016
• Relation composition
  Given the space <math>X = \{ 1, 2, 3, 4, 5, 6, 7 \},\!</math> whose cardinality <math>|X|\!</math> is <math>7,\!</math> there are <math>|X \times X| = |X|
  65 KB (6,802 words) - 18:14, 14 November 2015
• Directory:Jon Awbrey/Differential Logic : Various Sketches
  cardinality ''n'' cardinality ''n''
  369 KB (46,156 words) - 04:20, 27 December 2016
• Directory:Jon Awbrey/Papers/Differential Analytic Turing Automata
  ...et \to X^\bullet) = \{ G : U^\bullet \to X^\bullet \},\!</math> and so the cardinality of this ''function space'' can most conveniently be summed up by writing:
  134 KB (16,535 words) - 15:30, 11 October 2013
• Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 3.0
  ..._i\},\!</math> aside from the circumstance that the two sets have the same cardinality. In concrete cases, though, one usually has some reason for associating th ...= \{ 0, A \}</math> is algebraically dual to <math>X\!</math> and also has cardinality <math>2.\!</math> Here, <math>{}^{\backprime\backprime} 0 {}^{\prime\prime
  519 KB (74,456 words) - 15:46, 3 October 2013
• Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems
  cardinality ''n'' cardinality ''n''
  394 KB (54,134 words) - 14:30, 3 March 2023
• Differential Logic and Dynamic Systems
  ...{x_i\},</math> aside from the circumstance that the two sets have the same cardinality. In concrete cases, though, one usually has some reason for associating th ...= \{ 0, A \}</math> is algebraically dual to <math>X\!</math> and also has cardinality <math>2.\!</math> Here, <math>{}^{\backprime\backprime} 0 {}^{\prime\prime
  528 KB (75,728 words) - 21:56, 14 January 2021
• Directory:Jon Awbrey/Differential Logic and Dynamic Systems 2.0
  ..._i\},\!</math> aside from the circumstance that the two sets have the same cardinality. In concrete cases, though, one usually has some reason for associating th ...= \{ 0, A \}</math> is algebraically dual to <math>X\!</math> and also has cardinality <math>2.\!</math> Here, <math>{}^{\backprime\backprime} 0 {}^{\prime\prime
  529 KB (75,750 words) - 14:32, 3 March 2023

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