what sqrt

Recently, I was asked by my friends to help others tune up a program, which is said to be my graduation thesis. I am not sure whether this thesis is a bachelor's degree or a Master's degree. It is a question about fingerprint enhancement. After I

"Reprint Please specify source" Http://www.cnblogs.com/mashiqi2015/09/08Today we focus on the following equation:$ $u ' =au, \textrm{where} (a > 0) $$Due to $a > 0$, $ (U '-\sqrt{a}u) ' + \sqrt{a} (U '-\sqrt{a}u) =0 \rightarrow \frac{d (U

(1)\[\begin{aligned}\int \frac{x}{x^2+2x-3}dx= \int \frac{x-1+1}{(x+3) (x-1)}DX= \int \frac{1}{x+3} + \frac14 \frac{4}{(x+3) (x-1)} DX\\=\int \frac{1}{x+3} + \frac14 \frac{(x+3)-(X-1)} {(x+3) (x-1)} DX= \int \frac{3/4}{x+3}-+ \frac{1/4}{x-1} DX=

This code is ingenious, and the personal understanding is written in the comments.#include #include#include//Related papers: [1] Zhang Jinglong, Huang, Wang Aisong, etc. improvement of prime number determination algorithm [J]. Journal of Henan

PCA (Principal Component analysis) is a commonly used method for analyzing data. PCA transforms the original data into a set of linearly independent representations of each dimension by linear transformation, which can be used to extract the main

Put any positive number of square plus \ (1\), the result is also open square plus \ (1\), continue to calculate, eventually always get \ (\frac{3+\sqrt{5}}{2} \approx 2.61804 \), namely:\ (\sqrt{\cdots \sqrt{\sqrt{\sqrt{x}+1}+1}+1}+1 =

Address: HDU 2256 Ideas: (SQRT (2) + SQRT (3) ^ 2 * n = (5 + 2 * SQRT (6) ^ N; Note that (5 + 2 * SQRT (6) ^ N can be expressed as an + BN * SQRT (6 ); An + BN * (SQRT (6) = (5 + 2 * SQRT (6) * (A (n-1) + B (n-1) * SQRT (6 )) = (5 * a (n-1) + 12 * B

See the Code of the Great God. Understand for a long time ... It's really a gap.Test instructions: Given m, p, a, B, then XI satisfies the two formula, and the maximum value of xp1 + xp2 +...+ xPM is obtained.1, -1/sqrt (a) 0)2, X1+X2+...+XM =

#pragmaComment (linker, "/stack:1024000000,1024000000")#include#include#include#include#include#include#includeSet>#include#include#includeusing namespaceStd;typedefLong LongLL;Const DoublePi=acos (-1.0), eps=1e-6;voidFile () {freopen ("D:\\in.txt","

PDF versionPDF & CDFThe probability density function is $ $f (x; \mu, \sigma) = {1\over\sqrt{2\pi}\sigma}e^{-{1\over2}{(X-\MU) ^2\over\sigma^2 }}$$ the cumulative distribution function is a defined by $ $F (x; \mu, \sigma) = \phi\left

In fact, this question has been written by many people, just in the beauty of mathematics, and recently written by Ruan Yifeng's blog. Basically, this article follows his ideas, just to make it look a little bit small. In fact, to put it bluntly, we

Machine learning algorithm principle, implementation and practice-Distance measurement  Statement: most of the content in this article is reproduced in July's article on CSDN: from the K nearest neighbor algorithm and distance measurement to the KD

1. Parse a correct template class(1) First, we want to create a template that can first design its behavior for a particular type parameter, and then generalize the general type of abstraction. For example, we can first design the concrete

13. (Li-Poon) proof: Each real matrix can be written as a linear combination of $4 $ real positive matrix, that is, if $ A $ is a real matrix, the real positive matrix $ q_ I $ and the real number $ r_ I $, $ I = 1, 2, 4 $, make $ \ Bex a = r_1q_1 +

101 Two-Point distanceTime Limit: 3000 MS | memory limit: 65535 KBDifficulty: 1DescriptionEnter two coordinates (x1, Y1), (X2, Y2) (0 InputEnter an integer N (0 Each group occupies one row and consists of four real numbers, representing X1, Y1, X2,

101 Two-Point distanceTime Limit: 3000 MS | memory limit: 65535 KBDifficulty: 1DescriptionEnter two coordinates (x1, Y1), (X2, Y2) (0 InputEnter an integer N (0 Each group occupies one row and consists of four real numbers, representing X1, Y1, X2,

1#include 2#include 3 using namespacestd;4 //calculates the integral of f (x) =1/x on [1,3]5 6 DoubleFDoublex) {7 return 1.0/(x+2);8 }9 Ten DoubleF1 (Doublex) { One return 1.0/(x+5); A } - DoubleF2 (Doublex) { - return 1.0/(x+7); the } -

1. (1)\[\mbox{original}= \lim_{b\to +\infty} \int_1^b \frac{e^2}{e^{2x}+e^2}dx= \frac1e \lim_{b\ to+\infty} \arctan (e^x/e) \bigg|_{1} ^B=\FRAC1E (\lim_{b\to +\infty}\arctan \frac{e^b}{e}-\frac{\pi}{4}) =\frac{\pi}{4

Introduction In 1982, tateaki. Sasaki and yasumasa Kanada published a paper: practically Fast Multiple-Precision Evaluation of log (X ). In this four-page paper, they introduced a quick way to calculate the natural logarithm.Algorithm. C # Program

// For the missing code, see # include static int CMP (const int * P, const int * q) { return (* P) -(* q); } bool isprime (int n) { If (n If (n = 2) return true; If (N % 2 = 0) return false; If (n> = 67 & n { return null! = bsearch (& N,