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matching theorem - translation to russian
THEOREM
Hall marriage theorem; Marriage Theorem; Hall theorem; Set of distinct representatives; Hall's perfect matching theorem
matching theorem
математика
теорема о паросочетаниях
matching grant
DONATION BASED ON OTHERS' DONATIONS
Matching fund; Matching gift; Matching gifts; Matching donations; Matching donation; Matching git; Match funding; Matched funding; Donation matching; Matching grants; Matching grant; Match fund
долевая субсидия (когда средства федерального бюджета покрывают лишь часть расходов низшей административной единицы)
divergence theorem
![The divergence theorem can be used to calculate a flux through a [[closed surface]] that fully encloses a volume, like any of the surfaces on the left. It can ''not'' directly be used to calculate the flux through surfaces with boundaries, like those on the right. (Surfaces are blue, boundaries are red.)](https://commons.wikimedia.org/wiki/Special:FilePath/SurfacesWithAndWithoutBoundary.svg?width=200 "The divergence theorem can be used to calculate a flux through a [[closed surface]] that fully encloses a volume, like any of the surfaces on the left. It can ''not'' directly be used to calculate the flux through surfaces with boundaries, like those on the right. (Surfaces are blue, boundaries are red.)")
GENERALIZATION OF THE FUNDAMENTAL THEOREM IN VECTOR CALCULUS
Gauss' theorem; Gauss's theorem; Gauss theorem; Ostrogradsky-Gauss theorem; Ostrogradsky's theorem; Gauss's Theorem; Divergence Theorem; Gauss' divergence theorem; Ostrogradsky theorem; Gauss-Ostrogradsky theorem; Gauss Ostrogradsky theorem; Gauss–Ostrogradsky theorem
математика
теорема о дивергенции
теорема Гаусса-Остроградского
Wikipedia
Hall's marriage theorem
In mathematics, Hall's marriage theorem, proved by Philip Hall (1935), is a theorem with two equivalent formulations. In each case, the theorem gives a necessary and sufficient condition for an object to exist:
- The combinatorial formulation answers whether a finite collection of sets has a transversal—that is, whether an element can be chosen from each set without repetition. Hall's condition is that for any group of sets from the collection, the total unique elements they contain is at least as large as the number of sets in the group.
- The graph theoretic formulation answers whether a finite bipartite graph has a perfect matching—that is, a way to match each vertex from one group uniquely to a vertex from the other group. Hall's condition is that any subset of vertices from one group has a neighbourhood of equal or greater size.
