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Python is a simple tutorial for data analysis, and python uses data analysis

, the program is as follows: import numpy as npimport scipy.stats as ss def case(n = 10, mu = 3, sigma = np.sqrt(5), p = 0.025, rep = 100): m = np.zeros((rep, 4)) for i in range(rep): norm = np.random.normal(loc = mu, scale = sigma, size = n) xbar = np.mean(norm) low = xbar - ss.norm.ppf(q = 1 - p) * (sigma / np.sqrt(n)) up = xbar + ss.norm.ppf(q = 1 - p) *

Python Shipping Simple tutorials for data analysis

program is as follows: Import NumPy as Npimport scipy.stats as SS def case (n = ten, mu = 3, sigma = Np.sqrt (5), p = 0.025, rep = +): M = np. Zeros (Rep, 4)) for I in range (rep): norm = np.random.normal (loc = mu, scale = sigma, size = N) Xbar = Np.mean (Norm) Low = XBAR-SS.NORM.PPF (q = 1-p) * (SIGMA/NP.SQRT (n)) up = Xbar + SS.NORM.PPF (q = 1-p) * (

Cojs Strong connected Graph Count 1-2 report

OwO topic meaning is the same, but the data range expandedFor the nFor the nYes, you just have to change the equation a little.First, we consider an illegal scheme. Strongly connected components must be a DAG after they are shrunk.Consider child issues: Dag CountProcedure can refer to the This gives the transfer equation.F (N) =sigma (( -1) ^ (k-1) *c (n,k) *2^ (k* (n-k)) *f (n-k))What if we consider the case of a strong connected component's shrinkin

Duchi Screening Study Summary

functionSome properties of the integrable function:1.2, E=mu*i3, Id=phi*iThen we can get some very interesting conclusions from the second nature:Set the existence function G=f*i (by F for G)Then we can get g*mu=f*i*mu.And then simplify to get F=g*mu (by G for f)Mr. Tang's blog also gave some more interesting examplesAll right, we're done with the front-end skills.The Duchi sieve can be expressed in the following form:Ask F (n) =sigma (f (i))Presence

HDU 5073 Galaxy

Test instructions is a given n point, which allows a point p to be found to minimize the Sigma ((A[i]-p) ^ 2), where A[i] represents the position of the point I. There are k points which don't count.Idea: Found this problem is actually seeking n-k a point variance.So push the formula:Sigma ((A[i]-p) ^ 2)= Sigma (a[i]^2 + p^2-2*a[i]*p)= Sigma (a[i]^2 + p^2))-

"Digital image processing principle and practice (MATLAB version)" A book Code PART3

2 1; 2 4 2; 1 2 1]/16;OUTPUT1 = IMFilter (i_noise, W1, ' conv ', ' replicate ');W2 = [1 1 1; 1 1 1; 1 1 1]/9;Output2 = IMFilter (i_noise, W2, ' conv ', ' replicate ');OUTPUT3 = MEDFILT2 (I_noise, [3, 3]);P106function B = Bfilter2 (A,w,sigma)% apply different processing functions for grayscale image or color image selectionIf size (a,3) = = 1B = Bfltgray (A,w,sigma (1),

2.5 ESL Chapter II Exercise 2.5

TopicDescribe $y _i=x_i^t\beta+\epsilon_i$$\epsilon_i\sim N (0,\sigma^2) $ There are training sets $\tau$, where $x:n\times p,y:n\times 1,\epsilon:n\times 1$Get $\hat{\beta}=\left (x^tx\right) using least squares ^{-1}x^ty$$y =x\beta+\epsilon$ Need to predict the $x_0$ of points $y_0$ Question 2.7 Get ready $E (Y_0) =e (x_0^t\beta+\epsilon_0) =e (X_0^t\beta) +e (\EPSILON_0) =x_0^t\beta+0$ $E [\left (Y_0-e (y_

01 Fractional planning poj2728 (optimal scale spanning tree)

repaired between villages, so that these rivers can be connected to all villages, and different villages need to be repaired because of differences in altitude, The cost per pump is the difference in altitude for these two villages, and each pump is used for one channel, requiring all costs/total channel length ratios to be minimal Analysis: R=sigma (H[i][j])/sigma (L[i][j]), with R as the optimal value,

Foundataions of machine learning: Rademacher complexity and VC-dimension (2)

$ E [x] = 0 $. Then, for all $ T> 0 $, the following inequality is true: $ E [Exp (TX)] \ Leq exp (\ frac {t ^ 2 (B-a) ^ 2} {8}) $ Theorem 2.3 Massart's lemma:Make $ A \ In \ mathbb {r} ^ m $ a finite set, remember $ R =\max _ {x \ In a} \ parallel x \ parallel_2 $, the following inequality is true: $ \ Mathop {e }_{\ Delta} [\ frac {1} {m} \ sup _ {x \ In a} \ sum _ {I = 1} ^ m \ sigma_ix_ I] \ Leq \ frac {r \ SQRT {2log \ mid A \ mid }}{ m }. $ Here, $ \ sigma_ I $ is an independent and even

Introduction to Linear Programming

converted to linear programming through palapala. But we usually see not many questions about bare linear planning. We can't use a single method to run network streams. What is the purpose of this? Indeed, we usually do not use the single-form or internal-point method to solve the problem,.Many graph theory models can be characterized by linear programming. Many special linear programming models can also be transformed into graph theory models.Linear Programming can serve as a bridge between ac

Common pseudo-random numbers are often generated.

# Include "stdlib. H"# Include "stdio. H"# Include "math. H" Double uniform (double A, double B, long int * seed );Double Gauss (double mean, double Sigma, long int * seed );Double exponent (double beta, long int * seed );Double Laplace (double beta, long int * seed );Double enumeration (double Sigma, long int * seed );Double Weibo (double A, double B, long int * seed );Int bn (Double P, long int * seed );I

python3-Notes-e-001-Library-random number

(default 0), HI boundary (default 1), Mode (midpoint of default boundary) Fnum = Random.triangular (0,1,1.5)# betavariate (alpha, Beta)//beta distribution, [0.0, 1.0] Fnum = Random.betavariate (1,1)# expovariate (LAMBD)//exponential distribution, LAMBD return integer, value [0, +∞]; LANBD return negative, value [-∞, 0] fnum = random.expovariate ((Lambda arg1, Arg2:arg1 + arg2) (1,2))# The smaller the return value of LAMBD, the greater the gain# gammavariate (alpha, Beta)//Gamma Distribution Fnu

Python Image feature detection algorithm (1): Python implementation sift and Harris

response function for each pixel in a graylevel image." " # Derivatives IMX = zeros (im.shape) Filters.gaussian_filter (IM, (Sigma, Sigma), (0, 1), imx) Imy = zeros (im . Shape) Filters.gaussian_filter (IM, (Sigma, Sigma), (1, 0), Imy) # Compute components of the Harris matrix Wx x = Filters.gaussian_filter (IMX * imx

Database Transaction "Isolation Level"

Set (0.00 sec)If there are more threads in the database, this method is really not very good to confirm. Directly using Show engine InnoDB status View ------------Transactions------------Trx ID Counter 4131Purge done for Trx's N:o History list Length 126LIST of transactions for each SESSION:---TRANSACTION 0, not startedMySQL thread ID 2, OS thread handle 0x7f953ffff700, query ID + localhost root initShow Engine InnoDB Status---TRANSACTION 4130, ACTIVE-SEC starting index ReadMySQL tables in use

Transaction Library Transaction ISOLATION LEVEL

Show engine InnoDB status View ------------Transactions------------Trx ID Counter 4131Purge done for Trx's N:o History list Length 126LIST of transactions for each SESSION:---TRANSACTION 0, not startedMySQL thread ID 2, OS thread handle 0x7f953ffff700, query ID + localhost root initShow Engine InnoDB Status---TRANSACTION 4130, ACTIVE-SEC starting index ReadMySQL tables in use 1, locked 1Lock WAIT 2 lock struct (s), heap size 1 row lock (s)MySQL thread ID 4, OS thread handle 0x7f953ff9d700, quer

Kernel module programming (7): debug by reading the proc file

transferred multiple times. However, the processing description of this part is not detailed. The following is my practical experience. It may not be very accurate but it works. Let's take a look at an experiment. Instead of processing the complicated scull array structure But I want to output some information and add the printk for tracking: Static int my_index = 0, total_index = 10; Int scull_read_procmem (char * buf, char ** start, off_t offset, int count, int * eof, void * data) { In

Linear regression of PYMC3-GLM

GLM: Linear regression GLM is the generalized linear model, the generalized linear models.Some software kits for Bayesian statistics jags, BUGS, Stan and PYMC, use these toolkits to have a good understanding of the models that will resume. the traditional form of linear regression In general, the frequency school expresses linear regression as:Y=xβ+ϵy = X\beta + \epsilonWhere y y is the output we expect to predict (the dependent variable), x x is the predictive factor (the argument), the Β\beta

Gaussian blur of images

. However, when calculating the discrete approximation of the Gaussian function in practice, the pixel values outside the distance can be regarded as ineffective, that is, the template size is (6*sigma+1) * (6*sigma+1)。 In this paper, the template matrix is selected, the larger the Sigma value, the more blurred. From the obtained template matrix and the original

Latex Greek letter Input

Mathematical formulas cannot be separated from Greek letters. The following lists the control commands for generating Greek letters in LaTex: \ Alpha generates alpha; \ beta generates beta; \ gamma generates gamma; \ delta generates delta; \ epsilon generates ε; \ ε generates |; \ eta generates the character eta; \ theta generates the character 9; \ iota generates the character escape t; \ kappa generates the character kappa; \ 1amta generates the character λ; \ mu generates the character μ; \ x

Normal Distribution Function

1) use MATLAB to draw a probability density function image with a normal distribution.X = [-.];Y = normpdf (x, 0, 1); % normal distribution function.Figure;Axes1 = axes ('pos', [0.1 0.1 0.85 0.85]);Plot (x, y );Set (axes1, 'ylim', [-0.01 0.43], 'xlim', [-3 3]);Figure 1: 2) Verify that the point of the probability density function in the interval (-∞, ∞) is 1.Here, the mu = 3 and Sigma = 5 parameters are used (Note: all these two parameters are used

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