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...e ordinary [[composition of relations]] but is robust to refinement of the relations into ([[Partial function|partial]]) functions or [[injective relation]]s. Unlike ordinary composition of relations, demonic composition is not [[Associative property|associative]]. ...

...o programs in the context of [[program semantics]] is the [[Composition of relations|relational composition]] of intermediate state: [[Category:Mathematical relations]] ...

...urrence relation]]s are a modified (or "sieved") version of the recurrence relations for [[ultraspherical polynomials]]. ==Recurrence relations== ...

{{Short description|Mathematical concept}} ...ecify a precise way in which <math>m</math>, <math>k</math> and the random relations <math>r_j</math> are chosen. ...

{{Short description|Statement about equivalence relations}} ...0 444 87943 9.</ref> is a statement about [[Equivalence class|equivalence relations]], named after [[Jack Silver]].<ref name="YanfangThesis">L. Yanfang, [https ...

...is a [[filtered algebra]] generated by degree one elements, with defining relations of degree 2. It was pointed out by [[Yuri Manin]] that such algebras play a ...ooks.google.com/books?id=5_ZrCKU4NpAC&pg=PA6 |page=6 |publisher=[[American Mathematical Society]] |location=Providence, R.I. |series=University Lecture Series |isb ...

...eries]] [[absolute convergence|converge absolutely]] for any [[Glossary of mathematical jargon#finite|finite]] [[function argument|argument]] <math>\ x ~.</math> ==Relations to circular and hyperbolic trigononometric functions== ...

...h are now called Brenke–Chihara polynomials, and found their orthogonality relations. ...0012720 | year=1945 | journal=[[American Mathematical Monthly|The American Mathematical Monthly]] | issn=0002-9890 | volume=52 | issue=6 | pages=297–301 | doi=10.2 ...

The '''Manley–Rowe relations''' are [[mathematical expression]]s developed originally for [[electrical engineer]]s to predict ...ample, in a [[resonant interaction]] in non-linear optics, the Manley–Rowe relations can be interpreted as saying one photon is created as two more are destroye ...

...cite journal |last1=Huang |first1=Yichen |title=Variance-based uncertainty relations |journal=Physical Review A |date=10 August 2012 |volume=86 |issue=2 |page=0 ==The Maccone–Pati uncertainty relations== ...

...the '''associated Anger–Weber function''' defined in [[Digital Library of Mathematical Functions]]<ref>{{dlmf|id=11.10|title=Anger-Weber Functions|first=R. B. |la ===Recurrence relations=== ...

...less an additional length or time scale is specified in the [[constitutive relations]]. ...chanics.org/text/Chapter3_1/Chapter3_1.htm Chapter 3, Constitutive Models -relations between stress and strain, Applied Mechanics of Solids, Allen Bower] ...

...y, '''countable Borel relations''' are a class of [[Relation (mathematics)|relations]] between [[standard Borel space]] which are particularly well behaved. Thi ...invariant descriptive set theory is the relative complexity of equivalence relations. An equivalence relation <math>E</math> on a set <math>X</math> is consider ...

...1^{\pm1},G_2^{\pm1},\dots, G_{n-1}^{\pm1},E_1,E_2,\dots,E_{n-1}</math> and relations: These relations imply the further relations: <br> ...

{{Short description|Mathematical mapping in quantum mechanics}} Now, we have the correct same-site fermionic relations <math>\{f_{j}^{\dagger}, f_{j}\}=I</math>; however, on different sites, we ...

...nduction principle for <math>\varphi</math>''' expresses the validity of [[mathematical induction]] over <math>\varphi</math>, while the '''least number principle There is a similar '''[[Mathematical induction#Complete (strong) induction|strong induction]] principle for <mat ...

...e <math>F_{n}</math> is an increasing sequence of finite Borel equivalence relations on ''X''. Intuitively, this means that there is a sequence finite equivalence relations on ''X'', each finer than its predecessors, approximating ''E'' arbitrarily ...

In [[mathematical logic]], an '''effective Polish space''' is a [[complete metric space|compl ...b>, ''c''₁,...) that makes the following two [[relation (logic)|relations]] on <math>\mathbb{N}^4</math> computable (Moschovakis 2009:96-7): ...

...cause these models satisfies the [[Kramers–Kronig relations|Krämers–Krönig relations]] they should be preferable to the [[The Kolsky basic model and modified mo ...

...2=Kiss|title=The Shape of Congruence Lattices|year=2013|publisher=American Mathematical Soc.|isbn=978-0-8218-8323-5|page=20}} ...=2|pages=137–167|doi=10.1007/BF00046585|s2cid=119731847 }}</ref> Tolerance relations provide a convenient general tool for studying [[indiscernibility]]/indisti ...