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* Any directed set A may be made into a Cauchy space by declaring a filter F to be Cauchy if, given any element n of A, there is an element U of F such that U is either a singleton or a subset of the tail
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Any and directed
Any decision involves a choice selected from a number of alternatives, directed toward an organizational goal or subgoal.
Any collection of objects and morphisms defines a ( possibly large ) directed graph G. If we let J be the free category generated by G, there is a universal diagram F: J → C whose image contains G. The limit ( or colimit ) of this diagram is the same as the limit ( or colimit ) of the original collection of objects and morphisms.
Any directed graph generates a small category: the objects are the vertices of the graph, and the morphisms are the paths in the graph ( augmented with loops as needed ) where composition of morphisms is concatenation of paths.
Any directed poset can be considered as a small category where the morphisms consist of arrows if and only if.
Any square matrix can be viewed as the adjacency matrix of a weighted directed graph, with representing the weight of the arc from vertex i to vertex j.
Any Given Sunday is a 1999 American drama movie directed by Oliver Stone depicting a fictional professional American football team.
* problem-focused: Any coping behavior that is directed at reducing or eliminating a stressor, adaptive behavioral
Any tournament on a finite number of vertices contains a Hamiltonian path, i. e., directed path on all vertices ( Rédei 1934 ).
In June 2007, Savanna Samson Productions released its first title, Any Way You Want Me, an interactive movie directed by and starring Samson.
Any and set
Any such totality would itself have to be a set, thus lying somewhere within the hierarchy and thus failing to contain every set.
Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.
Any regional variety of English has a set of political, social and cultural connotations attached to it, even the so-called ' standard ' forms.
Any partially ordered set I can be considered as a small category where the morphisms consist of arrows i → j if and only if i ≤ j.
: Premise: Any cognitive state occurs as part of a set of cognitive states and within a cognitive system
* Extensibility: Any database system has its own predefined set of data types which we can use to build new types ( see Complex Objects ), but a purely extensible system is designed such that there are no logical differences between built-in ( or ' primitive ') data types and ' custom ' data types, though there may be strong differences in the way the two are implemented.
Any preordered set ( P, ≤) forms a small category, where the objects are the members of P, the morphisms are arrows pointing from x to y when x ≤ y.
Any given animal uses a relatively restricted set of gaits, and different species use different gaits.
Any collection of subsets of a set X satisfying these properties forms a base for the closed sets of a topology on X.
* Any partially ordered set can be interpreted as a category: the objects are the elements of, and there is a single morphism from to if and only if.
Any real analytic function on some open set on the real line can be extended to a complex analytic function on some open set of the complex plane.
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