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
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
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I want to read more books in mathematics, but it is hard for beginners to know those books well. I collected them online and sorted them out based on my own experience:Start with mathematical analysis:Mathematical Analysis is the most important course in the Mathematics De
foundation of mathematics, so that students can not be brought into the right path. At least as a class student, I feel that way. The result is a sense that the course is independent of one area and is very isolated. From some foreign books can be seen, machine learning is actually a multi-disciplinary derivative, and a lot of engineering field theory has a close connection, so that at least let us this be
??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
??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
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:
programmers respectively. As a reference for algorithm books in specialized languages, these two books are the only ones I would like to recommend to you. It can be used as a supplement to the book introduction to algorithms. If you are interested in cryptographic algorithms, application cryptography is your first choice.
There are quite a few books that can be
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
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
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
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
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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
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
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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
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
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
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
3.2 First-order logical equivalence calculus• 3.2.1 First-order logical equivalents and permutation rules– Basic equivalence type– Substitution rules, rules for changing names, substitution rules• 3.2.2 First-order logical front-beam paradigmNegative words come out from inside and come in from both sides, quantifier symbols changeThe quantifier is assigned the same time. No allocation rate in the same direction.US (full name designation Rule Universal specify)ES (existence of specified rules exs
Representation of graphs
Adjacency Matrix
Correlation matrix (horizontal longitudinal point, direction Graph 1 in-1
The connectivity of graphs
Non-Tourienton/non-connected
Forward graph strong connectivity/single-sided connectivity/weak connectivity
Proof method: Specific analysis of the special case of the Reach matrix (Eulerian graph has the necessary and sufficient conditions, Hamilton full/essential
Euler
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