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For instance, what is the average number of triangles in a random graph? Probabilistic methods are also used to determine the existence of combinatorial objects with certain prescribed properties (for which explicit examples might be…

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Kenneth H. Rosen is the author of books: Discrete Mathematics and Its Applications, Student Solutions Guide For Discrete Mathematics And Its Applications, Elementary Number Theory and Its Applications, UNIX: The Complete Reference, Handbook…

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Although conventional mathematics answers this question in the affirmative, I will suggest the contrary. The schematic representation of the Klein bottle provided by Figure 1 shows that it possesses the curious property of passing through…

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It was a revolutionary move away from the Greek concept of mathematics which was essentially geometry. Algebra was a unifying theory which allowed rational numbers, irrational numbers, geometrical magnitudes, etc., to all be treated as…

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