essentials of discrete mathematics

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Algorithms-Meanings of mathematical terms and mathematical terms in discretemathematics, and answers to discretemathematics and Algorithms

Algorithms-Meanings of mathematical terms and mathematical terms in discrete mathematics, and answers to discrete mathematics and Algorithms Here we will introduce two important functions in discrete mathematics: The base functio

DiscreteMathematics video, Book recommendation and learning experience

In a twinkling of an eye, I started school for two months. In the middle, I had to spend a month or so on learning discrete mathematics because of some disgusting things, summarize the learning content, methods, and books.First, what exactly does discrete mathematics contain? Traditional lecture methods include mathema

Classical discretemathematics teaching materials and materials (finishing)

Zuo Xiaoling edition: Discrete Mathematics-Zuo Xiaoling Discrete Mathematics Qu wanling version: Discrete Mathematics _qu Wan _ pku.doc Classic Discrete

Calculus based on algorithm--linear algebra--Discretemathematics

??Recently in the implementation of the algorithm, the feeling of lack of knowledge of mathematics, here -------------------------------------------------- calculus --------------------------------------------- ------------- Calculus Open Class: mit: univariate calculus http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/ Http://v.163.com/special/sp/singlevariablecalculus.html

Calculus based on algorithm--linear algebra--Discretemathematics

??Recently, when implementing algorithms. Feel the lack of knowledge of mathematics, here-------------------------------------------------- calculus --------------------------------------------- -------------Calculus Open Class:mit: univariate calculushttp://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/Http://v.163.com/special/sp/singlevariablecalculus.htmlmit: Many variable Ca

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Calculus based on algorithm--linear algebra--Discretemathematics

﻿﻿ Recently in the implementation of the algorithm, the feeling of lack of knowledge of mathematics, here-------------------------------------------------- calculus --------------------------------------------- -------------Calculus Open Class:mit: univariate calculushttp://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/Http://v.163.com/special/sp/singlevariablecalculus.htmlmit:

Thoughts on DiscreteMathematics and Its Application)

Discrete Mathematics and its application have a lot of content, which is difficult. If you want to learn programming, you can find a discrete mathematics with a lower difficulty but a lot of content. Second, we need to learn about the data structure and algorithms.Discrete Mathemat

DiscreteMathematics--Number theory algorithm

Recently in the review of discrete mathematics, this article is "Discrete Mathematics and its application" in the sixth edition of the third chapter algorithm, integers, and matrices involved in a number of algorithms, I thought about it, the light also does not play any role, so I wrote a bit, the following code is my

Oschina entertainment bullet-Tips for DiscreteMathematics, have you learned?

Label: style blog HTTP color OS ar strong SP 2014 Haha, today is a panic Sunday, tomorrow is Monday ~ Don't forget to study on weekends. Now, let's review discrete mathematics ~ By the way, I have a thorough understanding of the girl's skills. It's not a dream for the girl friend of programmers! The discrete mathematics

Demo of discrete point set in chaotic mathematics

different equations. in this demo, we will see the images generated by the point set that can see the law and can't see the law. For: http://files.cnblogs.com/WhyEngine/chaos.7z ------------------------------------------------------------- In the chaotic graph of this discrete point set, vertex data is generated using Iteration Methods:In the middle school textbooks, we have learned that a mona1 function can usually be expressed as: Y = f (x) wher

C + + realizes the relationship class of discretemathematics and supports transitive closure operations

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

The basic concept of the graph theory of discretemathematics

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

"Mathematics in machine learning" probability distribution of two-yuan discrete random variables under Bayesian framework

likelihood solution. For finite data sets, the posteriori mean of parameter μ is always between the transcendental average and the maximum likelihood estimate of μ.SummarizeAs we can see, the posterior distribution becomes an increasingly steep peak shape as the observational data increases. This is shown by the variance of the beta distributions, when a and b approach infinity, the variance of the beta distribution tends to be nearly 0. At a macro level, when we observe more data, the uncertai

"DiscreteMathematics"--Graph theory 6.10

Tree-related knowledge points:Relative to the Tsinghua University Press this "discrete mathematics" about the tree of this chapter is relatively simple, the concept is not much, about trees, forests, leaves, sub-fulcrum, spanning tree, the minimum spanning tree concepts are very simple, here no longer, the following records several theorems and important algorithm steps.Theorem 1: Set tProof: Set T has k le

JS realization of "The Key of Discretemathematics"

See an interesting article on the Internet "the key to the girl of discrete Mathematics"Just use JS to write the above-mentioned pairing method:First set the variable //Boys Ideal List varMenpreference ={A: [1, 2, 3, 4, 5], B: [1, 3, 4, 2, 5], C: [3, 2, 1, 4, 5], D: [4, 5, 2, 3, 1], E: [5, 2, 1, 4, 3] }; //Girls Ideal List varWomempreference = { 1: [' A ', ' B ', ' C ', ' D ', ' E '], 2: [' B ', ' D

Discretemathematics-first-order logic-Basic concepts

First order logic this piece belongs to the content of discrete mathematics, its function is to symbolize the natural things for the establishment of the system to lay the foundation of language.Recall whether learning Chinese or English grammar, we are from the backbone of the sentence to learn, then mathematics as a language, its sentence of course there are so

DiscreteMathematics--a summary of two-yuan relationship

former is FalseThe R is calledAThe partial order relationship on the upper side is usually written as a. Notice here? It is not necessary to refer to "less than or equal" in the general sense. If there isx?y, we also sayxRow inyFrontxPrecedesy）。Basic RelationshipsReflexivity: ∀a∈a, = = (A, a) ∈r anti-reflexive: ∀a∈a, = (A, a) ∉r symmetry: (A, b) ∈r∧a≠b = (b, a) ∈r//objection: (A, B) ∈r∧ (b, a) ∈r =>a= b//These three note that the previous piece is falsetransitivity: (A, B) ∈r, (b, c) ∈r = (A, c

DiscreteMathematics 5

Discrete Mathematics FiveThe use of the primary disjunction paradigm1. To find the formula of the true assignment and false assignment value.2. Determine the type of formula. It is a tautology, a contradiction or a satisfying formula.3. Determine whether the two proposition formulas are equivalent.Example: Use the main disjunctive paradigm of a formula to determine the type of formula described below:If the

Relationship closure with Warshall algorithm (discretemathematics)

#include Main (){int i,n,j,k,a,b,x[100][100];while (scanf ("%d", n)!=eof){for (i=1;ifor (j=1;jscanf ("%d", x[i][j]);for (i=1;ifor (j=1;jfor (k=1;k{if (X[j][i])X[J][K]=X[J][K]+X[I][K];if (X[j][k])X[j][k]=1;}printf ("\ n");for (i=1;i{for (j=1;jprintf ("%d", x[i][j]);printf ("\ n");}}return 0;}Input40 1 0 00 0 0 10 0 0 01 0 1 0Output1 1 1 11 1 1 10 0 0 01 1 1 1Relationship closure with Warshall algorithm (discrete ma

HDU 5000 clone (DiscreteMathematics + dp) (2014 ACM/ICPC Asia Regional Anshan online)

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

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