This section has the following main contents:(1) Discrete random variablesIf the result of a randomized trial can be represented by a variable, then such a variable is called a random variable . The random variables that all values can be listed are called discrete random variables .(2) Distribution columns of discrete random variablesGenerally, if the
??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 mit: Many variable Calculus Http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-c
Machine learning will encounter some discrete data, can not be brought into the model for training, so to encode it, there are two commonly used encoding methods:1, the characteristic does not have the size significance direct single-heat code (One-hot encoding)2, the characteristics of the size of the significance of the use of mapping Coding (map encoding)There are two kinds of coding in the Sklearn.preprocessing package implementation methodMapping
Discrete Logging, discreteloggingDiscrete Logging
Time Limit:5000 MS
Memory Limit:65536 K
Total Submissions:5865
Accepted:2618
DescriptionGiven a prime P, 2
BL
== N (mod P)
InputRead several lines of input, each containing P, B, N separated by a space.
OutputFor each line print the logarithm on a separate line. If there are several, print the smallest; if there is none, print "no solution ".
Sample Input
5 2
Ultraviolet A 1426-Discrete Square Roots
Question Link
Question: given X, N, R, requirementsR2 coresX(MOD N) (1
Ideas:R2 coresX(MOD N) =>R2 +K1N=XOneR!, Bring two ways to subtractR2?R12 =KN=> (R+R1 )(R?R1) =KNEnumerate A and B so thatA * B = n(R + r1) is A multiple(R-r1) is a multiple of B.In this way, we can launchAKA?R1 =BKB+R1 =R=>AKA=BKB+ 2R1=>AKALimit 2R1 (MOD B)This is equivalent to finding all the solutions of the linear modulus equation, then
Mycat discrete parts-) Enumeration parts1. Enumeration parts
Enumeration sharding: You can configure the shard by configuring the possible enumeration id in the configuration file. This rule applies to specific scenarios. For example, some businesses need to be saved by province or district/county, the province, county, and district are fixed
2. Add a configuration file
Configure in function. xml:
Configure in schema. xml:
Autopartition-long04.t
MySQL discrete notes-foreign key Mysql foreign key
References: about MySQL foreign keys and mysql foreign key association creation
MySQL has the same definition of "key" and "index", so foreign keys and primary keys are also an index. The difference is thatMySQL automatically indexes the primary keys of all tables, but the foreign key field must be explicitly indexed by the user. // Check the Mysql manual and find that the INDEX is automatically cre
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
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
of squares of k colors applied to the first m line - for(inti =0; I ) - if(X[i]! = M ! Set.count (MP (x[i) +1, Y[i]))) C + +; -c + = n-Fir_row; A intCNT = Mul_mod (Pow_mod (k, c), Pow_mod-K1, (LL) M*n-b-c)); + if(cnt = = r)returnm; the -c =0;//section m+1 the number of squares coated with K colors $ for(inti =0; I if(X[i] = = m) C + +; theCNT = Mul_mod (Mul_mod (CNT, Pow_mod (k, c)), Pow_mod (K-1, N-c)); the if(cnt = = r)returnM +1; the the intp = Pow_mod (K-
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
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-called trunk. Individual words: Individual times are specific or abstract objects that th
, c=me%n.Code:#include C. RSA Decryption Test Instructions:Give you n,e, and a bunch of clear text. Encrypt the plaintext with (n,e). Converts the plaintext letter to a number, divided by 8 digits, and the less part complements 0. There are non-letter deletions in the plaintext, a and a turn into numbers, and Z and Z turn into numbers of 25. Clear text number 8 bits of each paragraph corresponding to the ciphertext is also required to be 8 bits, if less than 8 bits, the front top up 0.For clear
(mod P) to find the smallest LDecompose L: l=i*m+j where M=SQRT (P) is rounded upNative to b^ (i*m) *b^j==n (MOD P)Re-translated into b^j===n*b^ (-i*m) (MOD P)First preprocess the b^1 b^2 ... b^ (m-1)After the B^-M, enumeration I, if the existence of b^ (-I*M) exists in the hash table, indicating the existence of a solution l=i*m+jIn fact, I don't know much about 2333.The code basically relies on copying1#include 2#include 3#include 4#include 5#include 6 using namespacestd;7 Const intmop=100007
1551:longest increasing subsequence Again time
limit: 2 Sec
Memory Limit: + MB
Submit:
Solved: 15
[Submit] [Status] [Web Board]
DescriptionGive you a numeric sequence. If you can demolish arbitrary amount of numbers, what's the length of the longest increasing sequence, which is made up O F consecutive numbers? It sounds like longest increasing subsequence at first sight. So, there are another limitation:the numbers you deleted must be consecutive.InputThere is severa
n and M, indicating the number of pointers and the lower bound for seconds of a day M. (1 Outputfor each test case, output a single integer denoting the number of ways.
Sample input3 5 5 10 1 10 128
Sample outputcase #1: 22case #2: 1023 case #3: 586
Sourcethe 36th ACM/ICPC Asia Regional Shanghai site -- online contest
Recommendlcy discrete DP. Is to find any number of LCM selected from 1-n.
# Include # Include # Include String . H> # Inc
Convolution is a mathematical operator that generates the third function through function f and function g. Indicates the accumulation of F and G overlapping parts after flip and moving. If we regard a function that participates in Convolution as a range indicator function, convolution can also be seen as a promotion of "Moving Average. Its Applications include statistics, computer perspectives, image and signal processing, electrical engineering, and microequations.
Convolution can be defined
1. The frequency of the individual 0 points correspondsA single 0 point corresponding to a fraction of 1-az-1,a can be a complex number. When z is in the value of the unit circle, we can write this fraction as 1-rejθe-jω to analyze.2. Multiple polesIf the system's H[n] is a real number, then the frequency response of the system must have a conjugate symmetric 0 points or poles (the system frequency response is a real coefficient polynomial). For example, assuming that the system function has a p
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