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The '''history of Lorentz transformations''' comprises the development of [[w:linear map|linear transformations]] forming the [[w:Lorentz group|Loren ...formation|sphere geometry]], which is connected to the fact that the group of [[w:hyperbolic motion|motions in hyperbolic space]], the [[w:Möbius group|M ...

...rix affords a matrix representation of a <math>k\!</math>-adic [[relation (mathematics)|relation]]. * [[Universe of discourse]] ...

* [[Universe of discourse]] * [[Logic of relatives]] ...

...=views&direction=1&view=list Wikipedia articles published in ''WikiJournal of Science‎'']<br /> As of November 2, 2022: ...

...ath> in the '''parameter set''' <math>\Alpha\!</math> is an indexed family of operators <math>(\Omega_\alpha)_\Alpha = \{ \Omega_\alpha : \alpha \in \Alp * [[Universe of discourse]] ...

...case where <math>k = 0,\!</math> the function is simply a constant element of <math>\mathbb{B}.</math> ...y a basic role in questions of [[complexity theory]] as well as the design of circuits and chips for digital computers. ...

...ate every operator in a specified class of operators.&nbsp; In the context of [[logic]], it is a logical operator that suffices to generate every [[boole * [[Universe of discourse]] ...

...' with ''parameter'' <math>k\!</math> in the set <math>\mathbb{N}\!</math> of non-negative integers. ...math> left tacit, as the appropriate application is implicit in the number of operands listed. Thus <math>\Omega (x_1, \ldots, x_k)\!</math> may be take ...

...tions | Alternating Conditional Expectations]]) algorithm. The application of HGR and its extension has been found in the field of information theory, machine learning and so on. ...

A '''boolean-valued function''' is a function of the type <math>f : X \to \mathbb{B},</math> where <math>X\!</math> is an ar ...cteristic function, indicator function, predicate, or proposition. In all of these uses it is understood that the various terms refer to a mathematical ...

...f two propositions, that produces a value of ''false'' if and only if both of its operands are false. The [[truth table]] of <math>p ~\operatorname{OR}~ q,</math> also written <math>p \lor q,\!</math> ...

...al values, typically the values of two propositions, that produces a value of ''true'' if and only if both operands are false or both operands are true. The [[truth table]] of <math>p ~\operatorname{EQ}~ q,</math> also written <math>p = q,\!</math> <m ...

{{mathematics}} ...partment of Scientific Computing]] in the [[School:Computer Science|School of Computer Science]]. ...

...other words, it produces a value of ''false'' if and only if at least one of its operands is true. The [[truth table]] of <math>p ~\operatorname{NNOR}~ q,</math> also written <math>p \curlywedge q, ...

...of two propositions, that produces a value of ''true'' if and only if both of its operands are true. A logical conjunction of propositions <math>p</math> and <math>q</math> may be written in various wa ...

...n other words, it produces a value of ''true'' if and only if at least one of its operands is false. The [[truth table]] of <math>p ~\operatorname{NAND}~ q,</math> also written <math>p \stackrel{\cir ...

...o propositions, that produces a value of ''true'' just in case exactly one of its operands is true. The [[truth table]] of <math>p~\text{XOR}~q</math> , also written <math>p+q</math> or <math>p\ne q ...

...n, that produces a value of ''true'' when its operand is false and a value of ''false'' when its operand is true. The [[truth table]] of <math>\operatorname{NOT}~ p,</math> also written <math>\lnot p,\!</math> ap ...

...cation'', ''reification'', and ''subjectal abstraction''.&nbsp; The object of discussion or thought thus introduced is termed a ''[[hypostatic object]]'' ...ntroduced [[Charles Sanders Peirce]] (CP&nbsp;4.235, &ldquo;[[The Simplest Mathematics]]&rdquo; (1902), in ''Collected Papers'', CP&nbsp;4.227&ndash;323). ...

==History== Here is Peirce's own statement and proof of the law: ...