836 resultados para Games of chance (Mathematics)
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"Bibliography ... general works on the history of mathematics in the nineteenth century": p. 568-570.
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"November 1992."
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The carpet of Belshazzar -- The sign of Venus -- The case of Mr.Helmer -- The tree of dreams -- The bridal pair -- Excuria -- The golden pool--Out of the depths -- The swastika -- The ghost of chance.
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Mode of access: Internet.
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"Appendix, containing a selection of college examination papers": v. 2, p. [649]-714.
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"Contract N7 onr-358, T. O. I., NR-041-032."
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Mode of access: Internet.
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Thesis (Ph.D.)--University of Washington, 2016-06
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Let K(r, s, t) denote the complete tripartite graph with partite sets of size r, s and t, where r less than or equal to s less than or equal to t. Let D be the graph consisting of a triangle with an edge attached. We show that K(r, s, t) may be decomposed into copies of D if and only if 4 divides rs + st + rt and t less than or equal to 3rs/(r + s).
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Proportionally balanced designs (pi BDs) were introduced by Gray and Matters in response to a need for the allocation of markers of the Queensland Core Skills Test to have a certain property. Subsequent papers extended the theoretical results relating to such designs and provided further instances and general constructions. This work focused on designs comprising blocks of precisely two sizes, and when each variety occurs with one of precisely two possible frequencies. Two designs based on the set V of varieties are complementary if, whenever B is a block of one, then its complement with regard to the set V is a block of the other. Here we present necessary conditions for the existence of complementary pairs of such pi BDs and provide lists of some restricted parameter sets satisfying these necessary conditions. The lists are arranged according to the number of blocks. We demonstrate that not all of these parameter sets give rise to designs. However we establish by construction of the sets of blocks that, for every feasible number of blocks less than or equal to 100, with the possible exception of 63, there exists at least one pair of complementary pi BDs. We also investigate the conditions under which the complementary design can be isomorphic to the original design, and again provide a list of feasible parameters for pairs of such designs with at most 400 blocks.