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- S= {A,D} and T={B,C,E} for the network in exercise #8 Tell whether the given sets of S, T form a cut for the network indicated. If so, give the capacity of the cut. If not, tell why.In the Venn Diagram shown below, we know that (B∪C)∩A=(A∩B)∪(A∩C) because they both contain which of the following regions?This net folds into a cube. Which two letters appear on opposite faces? A - A & E B - C & D C - B & E D - D & A
- Shade the indicated regions of the following Venn diagrams. Show workQuestion from Discrete Mathematics: Let a and b be two elements in a lattice (A, ≤). Show that a ˄ b ˂ a and a ˄ b ˂ b if and only if a and b are incomparable.Fold a piece of paper into quarters as shown.Cut out a scalene triangle that does not touchany of the edges. Unfold the paper. Describethe symmetries of the design.
- Shade the region (A – B) intersection C in the Venn Diagram (shown in image)Given an n x n grid, where n is always a power of two. Prove that for such a grid you can always cover all tiles but one space with L shaped tiles. discrete math1) Consider the following geometry called S:Undefined terms: point, line, incidenceAxioms:I) Each pair of lines in S has precisely one point in common. II) Each point in S is incident with precisely two lines. III) There exist precisely four distinct lines in S. i) Prove the theorem: There exist precisely six points in S.ii) Prove the theorem: There exist precisely three points on each line.iii) Is this system categorical? Justify your answer.iv) Can it be proved that precisely one of the following properties hold in S: a) the elliptic parallel propertyb) the Euclidean parallel property c) the hyperbolic parallel property If so, which one? Prove your answer.
