Discrete Mathematics
epub |eng | | Author:Steven T. Dougherty

( Category: Combinatorics October 31,2020 )
epub |eng | 2014-08-19 | Author:DeTemple, Duane; Webb, William; & William Webb [Detemple, Duane & Webb, William]

4.3.11. Use PIE to calculate the number of ways that a 5-card hand can be dealt from a 52-card deck with at least one card of every suit. Check your ...
( Category: Discrete Mathematics August 10,2020 )
epub |eng | | Author:T. Kyle Petersen

Using the same idea for all the faces, the fine Hilbert series for this example is Passing to the usual Hilbert series, we have: In Section 8.​8 we found the ...
( Category: Combinatorics July 26,2020 )
epub |eng | | Author:W.D. Wallis

2.Find all different trees on six vertices. 3.Show that the graph contains cycles of lengths 5, 6, 8, and 9. (Notice that the central point, where three edges cross, is ...
( Category: Game Theory July 1,2020 )
epub |eng | 2020-05-24 | Author:McMullen, Chris [McMullen, Chris]

Let’s apply Kirchhoff’s loop rule to the closed loop shaded gray above: • Let’s begin at the vertex colored 2 and travel clockwise. • Going from 2 to 4, the ...
( Category: Discrete Mathematics June 29,2020 )
epub |eng | | Author:Arkadii Slinko

All the usual properties of the least common multiple are satisfied. For example, as for the integers, we can prove: Theorem 5.1.7 Let f(x) and g(x) be two monic polynomials ...
( Category: Algebra June 4,2020 )
epub |eng | 2014-06-03 | Author:K. Vesztergombi & J. Pelikán & L. Lovász

The Tree-growing Procedure can be used to establish a number of properties of trees. Perhaps most important of these concerns the number of edges. How many edges does a tree ...
( Category: Combinatorics April 24,2020 )
epub |eng | | Author:Boris Mirkin

Given a finite set I of N elements, a collection of its subsets R = {R1, R2, …, Rp} is referred to as a partition if the subsets Rs are ...
( Category: Intelligence & Semantics April 14,2020 )
epub |eng | 2018-10-05 | Author:Seymour Lipschutz

( Category: Calculus April 14,2020 )
epub |eng | | Author:Boris Mirkin

Civ 0.28 −0.32 1.00 0.77 −0.77 −0.77 1.73 Cyb 0.90 1.97 2.00 0.77 −0.77 −0.77 1.73 Cnt 8 8 8 8 8 8 8 Cnt, % 14.3 14.3 14.3 14.3 ...
( Category: Intelligence & Semantics April 14,2020 )
epub |eng | | Author:Răzvan Gelca & Titu Andreescu

while the product of the second pair is We can see that the first of these expressions exceeds the second by mk . This proves that if the permutation has ...
( Category: Algebra April 1,2020 )
epub |eng | 2014-01-21 | Author:Falconer, Kenneth; Falconer, Kenneth ;

( Category: Analytic Geometry March 23,2020 )
epub |eng | 2013-01-28 | Author:Meerschaert, Mark M. [Meerschaert, Mark M.]

(6.17) on the state space x1 ≥ 0, x2 ≥ 0, where x1 denotes the population of blue whales and x2 the population of fin whales. In order to simulate ...
( Category: Discrete Mathematics March 23,2020 )
epub |eng | | Author:Gordon J. Pace

We write r:X→Y to express that r:X↔Y and that r is functional. An injective function is also called a one-to-one function. ■ Since a function f relates every object in ...
( Category: Discrete Mathematics March 19,2020 )
epub |eng | | Author:Randolph Nelson

6.2 The Correct Insight At the beginning, the mathematical properties of coin tossing were obvious and intuitive. Analysis then abruptly transformed our facile conclusions into a quagmire of perplexity. We ...
( Category: Discrete Mathematics March 18,2020 )