Discrete Mathematics
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 )
epub |eng | 2019-01-02 | Author:Serban E. Vlad;

Example 7.6 We have in Figure 7.5, the two sets and , which are path connected components of We can partition and and get new path connected components of Figure ...
( Category: Algebra March 15,2020 )
epub, pdf |eng | 2019-03-12 | Author:Eugene Don

SOLVED PROBLEMS 6.12 Solve the equation 5 cos x = 4 − x3. Make sure you find all solutions. SOLUTION Since 5 cos x = 4 − x3 if and ...
( Category: Discrete Mathematics March 13,2020 )
epub, pdf |eng | | Author:Dieter Jungnickel

Proof By Theorem 2.6.6, we may check with complexity O(|E|) whether H is acyclic; in this case, μ(H,w)=∞. Otherwise we may, if necessary, add a root s to H (as ...
( Category: Combinatorics March 11,2020 )
epub |eng | | Author:Aaron Wootton, Valerie Peterson & Christopher Lee

If one of the coefficients, say the second coefficient is lost, then at the reconstruction stage one gets and the error in the reconstruction is where ∥. ∥2 is the ...
( Category: Discrete Mathematics March 11,2020 )
epub |eng | 2014-11-04 | Author:Luke Dormehl [Dormehl, Luke]

The Prius and the Learning Tree On the surface, the idea that we should be able to enforce laws by algorithm makes a lot of sense. Since legal reasoning is ...
( Category: Discrete Mathematics September 6,2019 )
epub |eng | 2019-09-02 | Author:Amy Babich & Laura Person

Notation. Let f: → be a function. Let m, n ∈ , such that m < n. The symbol denotes the sum f(m) + f(m + 1) + . . ...
( Category: Discrete Mathematics September 3,2019 )
epub |eng | | Author:Richard J. Trudeau

Proof of Euler’s Formula Theorem 8. If G is polygonal then v + f − e = 2. Proof. The proof is by induction on f. Let S be the ...
( Category: Graph Theory June 27,2016 )
epub |eng | 2008-08-20 | Author:Skiena, Steven S. [Skiena, Steven S.]

Bounded height priority queues are very useful in maintaining the vertices of a graph sorted by degree, which is a fundamental operation in graph algorithms. Still, they are not as ...
( Category: Combinatorics January 10,2015 )
epub |eng | 2012-05-07 | Author:Gregory Chaitin [Chaitin, Gregory]

There is a beautiful essay on the web about this by the quantum computer complexity theorist Scott Aaronson, “Who Can Name the Biggest Number?,” which I highly recommend and which ...
( Category: Discrete Mathematics April 17,2014 )