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• Grounded relation
  ...athematical object consisting of two components. The first component is a subset of the [[cartesian product]] taken over the given sequence of sets, which s
  1 KB (177 words) - 02:20, 16 February 2008
• Directory:Lawyer Central/Malpractice
  ...malpractice law has developed. In English law, the issue of liability is a subset of professional negligence where, under the Bolam Test, a doctor will be li ...settled between 1985 and 2000 in the United States. The study focused on a subset of 5,921 claims that were clear errors. The researchers found:
  6 KB (818 words) - 18:57, 5 May 2007
• Ordinal number
  A [[well-order]]ed set is an ordered set in which every non-empty subset has a least element: this is equivalent (at least in the presence of the [[ ...dered with respect to set containment and every element of ''S'' is also a subset of ''S''.'''
  29 KB (4,819 words) - 16:23, 9 January 2007
• User:Jon Awbrey/OLDSANDBOX
  ...s cartesian product, and taking the ''graph'' of <math>L</math> to be this subset, <math>G(L) \subseteq F(L) = X_1 \times \ldots \times X_k.</math> ...1</sub>, …, ''X''_''k'', ''G''(''L'')) where ''G''(''L'') is a [[subset]] of ''X''₁ &times; … &times; ''X''_''k'' (the carte
  43 KB (6,715 words) - 13:25, 22 June 2009
• Relation theory
  ...fying the set <math>X,\!</math> the set <math>Y,\!</math> and a particular subset of their cartesian product <math>{X \times Y}.\!</math> So far so good. ...rime\prime}\!</math> is used equivocally to denote both the triple and the subset <math>\mathrm{obj_{12}}f\!</math> that forms one part of it. One way to re
  25 KB (3,665 words) - 21:04, 16 November 2015
• Directory:UMBRELLA Consulting
  ...language. The U-CMS meta-language is called UMBRELLA - Web Script and is a subset of UMBRELLA – Script.
  6 KB (907 words) - 10:21, 10 June 2009
• Propositional calculus
  ...tactic expressions (''well-formed formulas'' or ''wffs''), a distinguished subset of these expressions, plus a set of transformation rules that define a bina ...to an expression in the distinguished subset, typically interpreted as the subset of logical ''axioms''.
  17 KB (2,301 words) - 15:56, 7 November 2015
• Relation (mathematics)
  ...ion''' <math>L\!</math> over the sets <math>X_1, \ldots, X_k\!</math> is a subset of their cartesian product, written <math>L \subseteq X_1 \times \ldots \ti ...k + 1\!</math> things to specify, namely, the <math>k\!</math> sets plus a subset of their cartesian product.&nbsp; In the idiom, this is expressed by saying
  20 KB (2,925 words) - 17:08, 14 November 2015
• Directory:Jon Awbrey/SANDBOX
  ...s cartesian product, and taking the ''graph'' of <math>L</math> to be this subset, <math>G(L) \subseteq F(L) = X_1 \times \ldots \times X_k.</math> ...1</sub>, …, ''X''_''k'', ''G''(''L'')) where ''G''(''L'') is a [[subset]] of ''X''₁ &times; … &times; ''X''_''k'' (the carte
  46 KB (7,067 words) - 04:10, 22 May 2010
• Relation reduction
  ...X_k,\!</math> then the ''extension'' of the relation <math>L\!</math> is a subset of the cartesian product <math>X = X_1 \times \ldots \times X_k.\!</math> For any subset <math>F\!</math> of the index set <math>K,\!</math> there is the correspond
  29 KB (4,035 words) - 03:32, 15 November 2015
• Boolean algebras canonically defined
  ...tions indexed by elements of ''X''. Thus the all-zero vector is the empty subset of ''W'' while the all-ones vector is ''W'' itself, these being the constan ...need another construct. A '''[[subalgebra]]''' of an algebra ''A'' is any subset of ''A'' closed under the operations of ''A''. Every subalgebra of a Boole
  46 KB (7,114 words) - 18:24, 2 October 2007
• Triadic relation
  ...iadic relations, <math>L_0</math> and <math>L_1,</math> each of which is a subset of the same cartesian product <math>X \times Y \times Z.</math>&nbsp; The s
  18 KB (2,519 words) - 18:02, 27 May 2020
• Directory:Jon Awbrey/Notes/Factorization Issues
  In our example of a sign relation, we had a functional subset of the following shape:
  25 KB (3,338 words) - 03:18, 25 June 2009
• Directory:Jon Awbrey/Notes/Factorization And Reification
  In our example of a sign relation, we had a functional subset of the following shape:
  22 KB (3,556 words) - 02:42, 27 June 2009
• Directory:Jon Awbrey/MathJax Problems
  ...' or ''pre-image'') of <math>y\!</math> under <math>f.\!</math> This is a subset, possibly empty, of the domain <math>X,\!</math> notated as <math>f^{-1}(y) ...athbb{B},\!</math> then the fiber of truth <math>f^{-1}(1)\!</math> is the subset of <math>X\!</math> that is ''indicated'' by the proposition <math>f.\!</ma
  59 KB (5,442 words) - 19:40, 8 November 2016
• Directory:Jon Awbrey/Essays/Inquiry Driven Systems : Fields Of Inquiry
  ...xpression of the analytic form is made up of coefficient propositions on a subset of the variables taking their places next to partial interpretations over t ...ach isomorphism <math>\boldsymbol\iota\!</math> is implicitly indexed by a subset <math>U\!</math> of the original alphabet <math>X,\!</math> but most often
  150 KB (18,770 words) - 15:54, 26 December 2020
• User:Badmachine/wikimedia-research-2014-08-26
  ...robably some segments of traffic by referral are really focused on a small subset of articles
  12 KB (1,696 words) - 15:57, 18 April 2015
• Directory:Jon Awbrey/Papers/Theme One Program : Exposition
  A "formal language" L over !A! is a subset of !A!*. Employing the symbol "c" for "subset of", L c !A!*.
  94 KB (8,938 words) - 22:12, 9 December 2015
• Directory:Jon Awbrey/TRUTH
  ...ssion "is true" (or "is false"). So ''The barn is big'' is included in the subset, but not ' ''The barn is big'' is true', nor problematic sentences such as * Define truth just for the sentences in that subset.
  237 KB (37,371 words) - 22:14, 25 January 2008
• User:Jon Awbrey/TRUTH
  ...ssion "is true" (or "is false"). So ''The barn is big'' is included in the subset, but not ' ''The barn is big'' is true', nor problematic sentences such as * Define truth just for the sentences in that subset.
  237 KB (37,371 words) - 11:22, 20 August 2007

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