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Page "Limit (category theory)" ¶ 23
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Any and collection
# Any collection of closed subsets of X with the finite intersection property has nonempty intersection.
Any collection of items or components needed for a specific purpose, especially for use by a workman, or personal effects packed for travelling, such as:
Any list of these would have to include the Night of the Living Houses ( said to be the first comic strip to enter the collection of the Louvre ) wherein Nemo and a friend are chased down a city street by a gang of tenement houses on legs ; the Walking Bed, in which Nemo and Flip ride over the rooftops on the increasingly long limbs of Nemo's bed ( see illustration ); and the Befuddle Hall sequence, wherein Nemo and his friends attempt to find their way out of a funhouse environment of a Beaux-Arts interior turned topsy-turvy.
Any collection of subsets of a set X satisfying these properties forms a base for the closed sets of a topology on X.
Any family-group name must have a type genus, any genus-group name must have a type species, and any species-group name can ( not must ) have one or more type specimens ( holotype, lectotype, neotype, syntypes or others ), usually deposited in a museum collection.
Any software based on their API can use this collection.
Any given open cover of the unit circle will have a refinement consisting of a collection of open arcs.
Any collection of generalized eigenvectors of distinct eigenvalues is linearly independent, so a basis for all of can be chosen consisting of generalized eigenvectors.
Another High Court judge Kenneth Deale writing extra judicially in " Beyond Any Reasonable Doubt ", a collection of celebrated Irish murder trials, offers some interesting insights into O ' Byrne's strengths and weaknesses as a judge.
Any collection of mutually independent random variables is pairwise independent, but some pairwise independent collections are not mutually independent.
Any collection of finitely many lines partitions the plane into convex polygons ( possibly unbounded ); this partition is known as an arrangement of lines.
The album Nite Versions ( 2005 ) is a collection of remixes of tracks from the album Any Minute Now.
Any manifold can be described by a collection of charts, also known as an atlas.
But General Zia did not mention that the Sharia Benches ' jurisdiction was curtailed by the following overriding clause: "( Any ) law does not include the constitution, Muslim personal law, any law relating to the procedure of any court or tribunal or, until the expiration of three years, any fiscal law, or any law relating to the collection of taxes and fees or insurance practice and procedure.
Any state-contingent claim can be regarded as a collection of pure securities.
But General Zia did not mention that the Sharia Benches ' jurisdiction was curtailed by the following overriding clause: "( Any ) law does not include the constitution, Muslim personal law, any law relating to the procedure of any court or tribunal or, until the expiration of three years, any fiscal law, or any law relating to the collection of taxes and fees or insurance practice and procedure.
Hegg's subsequent books have included Mark of the Maker, which focuses on Joseph, father of Jesus ; Up to the Lake, a collection of poems focused around a family's trip to their vacation home, the " Peef " series of books about the adventures of a teddy bear, and To Nourish Any Flower: The Request Collection, which is a collection of poems he wrote and presented to family, friends, and students over the course of several years.
Any bill which affects state funding by more than $ 1, 000, and which involves expenditure or collection of revenue, must have a " Fiscal Note ".

Any and objects
Any tragedy, he maintains, has six elements: plot, character, and thought ( the objects of imitation ), diction and melody ( the means of imitation ), and spectacle ( the manner of imitation ).
Any object that comes in contact with cervical secretions, vaginal mucosa, or menstrual blood, including fingers or penetrative objects may transmit sexually transmitted diseases.
Any particular vector file format supports only some kinds of primitive objects.
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 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 non-trivial true statement about reality is necessarily an abstraction composed of a complex of objects and properties or relations.
* 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 topological space can be viewed as a category by taking the open sets as objects, and a single morphism between two open sets and if and only if.
Any category with this property is necessarily a thin category: for any two objects there can be at most one morphism from one object to the other.
* Any one of the textile arts, those arts and crafts that use plant, animal, or synthetic fibers to construct practical or decorative objects
# Any objects created / instantiated within
Any ball which struck the Dome roof, or objects hanging from it, remained in play ; if it landed in foul territory it became a foul ball, if it landed in fair territory it became a fair ball.
* Any two objects X and Y of C have a product X × Y in C.
* Any two objects Y and Z of C have an exponential Z < sup > Y </ sup > in C.
Any coherent account of this distinction seems to require that there are, i. e. there exist, objects that do not exist.
Any one of a number of objects were fair game to The Painter, including sailboat sails, slices of bread, umbrellas, rubber balls, elevator doors and even a bald man's head.
Any creature with a representation in its brain would need to interact with the objects that are represented to identify them with the representation.
Any siteswap with any number of objects can, in theory, be done in Mills Mess.
Any solid objects pressing against each other ( but not sliding ) will require some threshold of force parallel to the surface of contact in order to overcome static cohesion.
Any topological space X gives rise to a category where the objects are the points of X and the morphisms are the homotopy classes of paths.
Any type of free-moving compound physics object can demonstrate this problem, but it is especially prone to affecting chain links under high tension and wheeled objects with actively physical bearing surfaces.
# Any objects between the viewed supernova and the SNAP could gravitationally produce inaccurate results.

Any and morphisms
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.
Any class can be viewed as a category whose only morphisms are the identity morphisms.
Any directed poset can be considered as a small category where the morphisms consist of arrows if and only if.

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