discrete mathematics books

Problem descriptionafter eating food from Chernobyl, DRD got a super power: He cocould clone himself right now! He used this power for several times. he found out that this power was not as perfect as he wanted. for example, some of the cloned objects were tall, while some were short; some of them were fat, and some were thin. More evidence showed that for two clones A and B, if a was no worse than B in all fields, then B cocould not keep ve. more specifically, DRD used a vector V to represent

is slightly different, for the Mij value, like the following three kinds of situations:(1) VI is not associated with EJ, mij = 0;(2) VI is the starting point of EI, mij = 1;(3) VI is the focus of EI, mij=-1;(4)Adjacency matrix of a directed graph: for AIJ, the number of edges that represent VI->VJ (direct connectivity)There is a very important theorem about the adjacency matrix of a graph:Set A is the adjacency matrix of directed graph D, the fixed point of D and v={v1,v2,v3...vn}, then the ele

tree.The code is as follows.Private Boolean Judge (string[] relationstring, int[][] Matrix, int[] mark,int bef, int aft) {Find all pairings of the first element such as for (int i = 0; i if (matrix[aft][i] = = 1) {//Retrieve new elementif (i = = bef) {}//judge whether it is the edge that has been retrieved, judging is to jump directly on the lineelse if (bef! = i) {//Is the new edge retrievedif (mark[i] = = 1) {//with heavy edgesreturn false;}Mark[i] = 1;if (! Judge (relationstring, Matrix, mar

, transitive) closure is a relationship that satisfies the following conditions R ': (i) R ' is reflexive (symmetric, transitive); (ii) R '? R; (iii) for any reflexive (symmetric, transitive) relation on a R ", if R"? R, then there is R "? R '. The reflexive, symmetric, transitive closures of R are recorded as R (R), S (r), and T (r), respectively. Property 1 A two-tuple relationship on a set a closure operation of R can be compounded, for example: TS (r) =t (s (r)) represents the transitive clo

if(Graph[i][j]) -cout""1","1">"; Wu } -coutEndl; About } $ }; - - classrelationship{ - Private: A BOOLPrint; + intnum_points; the graph graph; - Public: $Relationship (intnum): graph (num) { thePrint =true; the This->num_points =num; the } the - voidAdd_rs (intAintb) { in Graph.addedge (A, b); the } the About voidRemove_rs (intAintb) { the Graph.removeedge (A, b); the } the + voidTransfer () {//a matrix as a transitive cl

Recently in the chapter on the graph theory of discrete mathematics, here is my classification and summary of some important concepts of the graph. Describe the concept of relationships Association--used to describe the relationship between a point and an edge, which simply means that the edge is made up of those points and is associated with those points. The correlation matrix is a matrix that records

Original link: Kjrose translation: Bole online-Cugbabybear Translation Links: http://blog.jobbole.com/55179/ This article by Bole Online-cugbabybear translation from Kjrose. Welcome to join the technical translation team. Please refer to the request at the end of the article for reprint. A lot of people asked me to recommend some excellent math books to layman's friends, some of whom didn't take advanced courses at university, only friends who were

analysis. Not only did I not understand it when I was a student, but I also did not know it when I started to work on software development. This is because I have almost never encountered a time in my life or work that is associated with the profound mathematical formulas in textbooks. I can't even imagine a four-dimensional space. Why do I need to care about the law in a multidimensional space? When we really need to use relevant algorithms, a large number of off-the-shelf libraries and tool

We recommend two books on d3d and 3D graphics mathematics. Recently, I was asked about d3d and 3D related mathematics books in Chinese. We recommend the two. I will not write book reviews. But these two books are really good. If you buy it, you will not suffer losses. Introd

Topic Portal1 /*2 water problem: To find the total number of numbers, open long long unexpectedly WA several times, also did not change what again:)3 */4#include 5#include 6#include 7#include 8#include 9#include Ten#include string> One#include A#include -#include Set> - using namespacestd; the -typedefLong Longll; - Const intMAXN = 1e2 +Ten; - Const intINF =0x3f3f3f3f; + - intMainvoid)//codeforces Round #308 (Div. 2) B. Vanya and Books + { A /