are some specific examples that we will use later, which is worth discussing. We can use the Isserlis theorem to calculate higher order Gaussian random variables.The theorem is as followsThere are four variables, which indicate the followingWe can apply this theory to the useful results of the computational matrix representation.Suppose there is, to evaluate an expressionP is a nonnegative integer, when p=0, there is, when p=1, there isIn scalars, th
Js and json interaction theory and example, and jsjson theory example
The theory and skills are explained in detail, which is of great significance in practical development.
JSON syntax can represent the following three types of values.
Quiet simple value: Use the same syntax as JavaScript to represent strings, values, Boolean values, and null in JSON.
JSON does
Bzoj4724 -- number theory, bzoj Number Theory
Question:B In number, each number I (I =,..., B-1) has a [I. You need to use these numbers to form the largest number X in B (cannot have leading zero, do not need to use all numbers), so that X is a multiple of the B-1. Q: What is the k-bit number of X in the B-base system? The second digit is 0th bits ).
Ideas:
Due to the following theorem:
A * Bk rating a (m
largest of the common factors of A and B is the largest common factor of a and B, or greatest common divisor, which is recorded as GCD (A, b), sometimes précis-writers (A, B)Definition 1.5: Set A and B are two non-0 certificates, the minimum positive common multiple of a and B are least common multiple of A and B, recorded as LCM (A, b), sometimes précis-writers to [A, b]Basic Operation Properties. . . . .About the operations of GCD and LCM. . The above two figures are the legendary Euclidean t
associated with the front and back is called a multi-stage decision-making process.
• Decision Tree and dynamic planning are the main methods to solve multi-stage decision-making problems. Decision Trees are composed of nodes and branches, each line from the root of a tree to the top of a tree represents a decision-making scheme and a possible situation.
• Decision-making analysis should be calculated from the treasure to the root of the tree. This method for decision analysis from the back to
Paradigm Theory, database Paradigm Theory
Currently, relational databases have six paradigms: 1NF, 2NF, 3NF, 4nf, and 5NF ), the sixth paradigm (6NF ). The paradigm that meets the minimum requirements is the first paradigm. The second paradigm that meets more requirements on the basis of the first paradigm is called the second paradigm, and the rest of the paradigms are in turn. Generally, databases can mee
Historical Theory of Spring (Data desensitization) and Historical Theory of spring Desensitization
At present, the architecture of many companies has been migrated from Struts2 to SpringMVC. Have you ever wondered why SpringMVC is used instead of Servlet + JSP to build a Java web project?
In this case, let's start with the source. The source of Struts2 is actually Servlet. Servlet is used to receive request
Entropy of information theoryIf the discrete random variable has a P (X) distribution, then X carries the entropy (amount of information):The reason for using log2 as a base is to make it easy to measure how many bits the information can be represented by. Because 1 bit is not 0 or 1. It can be deduced from the above formula that when the probability of K states is the same, the greater the entropy of the random variable x carries. As indicated by the Bernoulli distribution the entropy carries t
I. The theory of NP completeness
(1) in the Turing computer model, the move function δ is a single value , that is, for each value in the Q´TK, when it belongs to the domain of δ definition Q´ (t´{l,r,s}) k
There is only one value corresponding to it, the Turing is called deterministic Turing, denoted is DTM(deterministic Turing Machine).
(2) non-deterministic Turing ( Ndtm ): A K-band non-deterministic Turing-Force M is a 7-tuple: (Q,T,I,Δ,B,Q0,QF)
The theory of problem solving is between the model and methodology, and is a very practical method theory. This method was developed in the Soviet Union (the Soviet Union kept confidential for more than 40 years ), it was introduced to the West in the 1980s S (beginning of 1990s) and has been widely studied and applied in the West. in the past 10 years, it has only been spread in China, but the intensity of
acid things. But because the execution of each sub-thing is distributed in the distributed transaction, it is very complicated to implement a distributed thing processing system which can guarantee the acid characteristic.Cap theoryA classic theory of distributed systems. The CAP theory tells us that a distributed system cannot simultaneously meet the three basic requirements of consistency (c:consistency)
Game theory 1 [Bashi Game], Game Theory
First, this is basically a series of articles about ACM game theory.
Today, let's talk about the simplest game-bashgame.
Its game rules are as follows:
There are a pile of n stones, two smart people to play, each person can go to 1 ~ M stones, the last stone wins.
For example, n = 7, m = 3
The procedure is as follows,
Take
column of the table above. The following explanation is very interesting:
While at first glance this distinction between the two opposites may sound like a play on words, Herzberg argued that there are two distinct human needs portrayed. first, there are physiological needs that can be fulfilled by money, for example, to purchase food and shelter. second, there is the psychological need to achieve and grow, and this need is fulfilled by activities that cause one to grow.
Some practical signific
Objective
In this paper, some basic concepts and theorem proofs of group theory are mainly used in the contest of informatics, and if there are improper places,In this paper, the Burnside lemma and the Polya theorem are only introduced and proved to achieve a preliminary understanding of the purpose, without in-depth discussion, specific topics and implementation methods will be mentioned in the future blog definition
If from a formulaic standpoint,
I started to learn the encoding theory, but the more I learned it, the more I went into the fire. Why does coding solve the channel error? Redundant, yes, but there is always a lack of quantitative analysis and strict proof, getting dizzy and reluctant to look at the logic of different channel coding.
Then I started to learn from information theory and gradually gained a quantitative understanding of the s
ObjectiveI detail the isolation level of database transactions in two articles, the isolation level for database transactions and transactions and the re-discussion of database transaction isolation levels. This article will start with a distributed transaction, as well as the cap theory and base theory.Distributed transactionsWith the development of distributed computing, transactions have been widely used in the field of distributed computing. In a
Python Machine Learning Theory and Practice (5) Support Vector Machine and python Learning Theory
Support vector machine-SVM must be familiar with machine learning, Because SVM has always occupied the role of machine learning before deep learning emerged. His theory is very elegant, and there are also many variant Release versions, such as latent-SVM and structur
Graph Theory for sdut3045-(Multi-tree longest chain) and sdut3045 Graph Theory
Fan Zhi Graph Theory
Time Limit: 1000 MS Memory limit: 65536 K
Description
FF is a master of graph theory, so I want to figure out a graph without any flow problems.
Returns the length of the longest chain of a tree.Multiple Input grou
UI-theory of first understanding, ui-theory of first understanding
A good app not only needs good functions, but also has a good interface, so that both internal and external modifications can be regarded as a good App. In fact, just like people, you can't just be handsome, but have a connotation (to be clear, it doesn't mean cool ). Unconsciously, It has been eight years in the garden, and it has been eig
[Prehistoric giant pitfall] Number Theory template integration and number theory template Integration
This afternoon, Shen Yu told me a piece of number theory = I found that I couldn't play happily.Sort out all the content templates.This is a prehistoric giant pitfall, and the time is definitely not enough... Enter orz in the future
# Include
It should be corre
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