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In one direction, suppose that is the intersection graph of a family of sets whose union has elements. Then for any element x ∈ U {\displaystyle x\in U} , the subset of vertices of G {\displaystyle G} corresponding to sets that contain x {\displaystyle x} forms a clique: any two vertices in this subset are adjacent, because their sets have a ...
Free space, a perfect vacuum as expressed in the classical physics model; Vacuum state, a perfect vacuum based on the quantum mechanical model; In mathematical physics, the homogeneous equation may correspond to a physical theory formulated in empty space; Void, empty space.
Particularly, in the case the parent space is Euclidean, a flat is a Euclidean subspace which inherits the notion of distance from its parent space. In an n -dimensional space , there are k -flats of every dimension k from 0 to n ; flats one dimension lower than the parent space, ( n − 1) -flats, are called hyperplanes .
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Let be a set and a nonempty family of subsets of ; that is, is a nonempty subset of the power set of . Then is said to have the finite intersection property if every nonempty finite subfamily has nonempty intersection; it is said to have the strong finite intersection property if that intersection is always infinite.
Image credits: Bored Panda #5 Megan Fox Allegedly Found “Upsetting” Messages On Mgk’s Phone. Machine Gun Kelly and Megan Fox have certainly been the talk of a lot of drama this year. Back in ...
Yields: 6-8 servings. Prep Time: 45 mins. Total Time: 45 mins. Ingredients. Cocktail Sauce. 1 c. ketchup. 1/4 c. prepared horseradish. 1 tbsp. Louisiana-style hot sauce (such as Crystal)
If at first — or second, or third — you don't succeed, try, try again. San Francisco's Jake Moody missed three field goals Sunday afternoon against Tampa Bay, but made one that he needed to ...