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Application of Operational Research basics: Combinatorial Optimization (6)-Approximate algorithm selection (4)

Hamiltonian loop such as, the white dot is the singularity on the smallest spanning tree. We can get two disjoint matches (1-2, 3-4, ..., 2k-1-2k and 2-3, 4-5, ..., 2k-1) by short-cutting the singularity in order. Because of the triangle inequality, the sum of the two matching weights is certainly not greater than $\text{opt}$, then the lesser of the two matches

In-depth understanding of computer systems (2.7)---binary floating-point numbers, IEEE Standards (important)

number will be much larger than the single-precision floating-point numbers. For the value of the order E, the value of the floating-point number can be divided into three different cases, which are normalized, non-normalized and special values, and these three cases are the essence of floating-point numbers.The following LZ first give a book for the single-precision three of the picture description, respectively, is 1, 2, 3, where 3 is the special value and divided into two cases 3a and 3b. Yo

Faster r-cnn:towards Real-time Object Detection with regions proposal Networks (faster RCNN: real-time via regional proposal network)

VOC 2007 test set on the detection example. Our approach can detect targets in a wide range of scales and aspect ratios.Pan-invariant anchorin the position of each sliding window, we also predict the K-region recommendations, so the reg layer has 4k output , that is, the K-box coordinate coding. The CLS layer outputs a 2k score , which is the estimated probability of the target/non-target for each suggestion box (for simplicity, a CLS layer implement

[Home Squat University Mathematics magazine] an integral inequality in the No. 409 period relating to the sine logarithm

Trial: $$\bex 0 proof: $$\beex \bea \int_0^\infty \frac{\sin t}{\ln (1+x+t)}\rd T =\sum_{k=0}^\infty\sez{\int_{2k\pi}^{2k\pi+\pi} \frac{\sin t}{\ln (1+x+t)}\rd t +\int_{2k\pi+\pi}^{2k\pi+2\pi} \frac {\sin T} {\ln (1+x+t)}\rd t}\\ =\sum_{k=0}^\infty \sez{\int_0^\pi \frac{\sin s}{\ln (1+x+

[Huawei Machine Test exercises]14. Integer separation

Topic描述: 一个整数总可以拆分为2的幂的和,例如:7=1+2+47=1+2+2+27=1+1+1+47=1+1+1+2+27=1+1+1+1+1+27=1+1+1+1+1+1+1总共有六种不同的拆分方式。再比如:4可以拆分成:4 = 4,4 = 1 + 1 + 1 + 1,4 = 2 + 2,4=1+1+2。用f(n)表示n的不同拆分的种数,例如f(7)=6.要求编写程序,读入n(不超过1000000),输出f(n)%1000000000。题目类别: null 难度: 初级 运行时间限制: 10Sec内存限制: 128MByte阶段: 入职前练习 输入: 每组输入包括一个整数:N(1Ideas当n=2k+1为奇数时,f(2k+1)=f(2k)。其实

C # Internal strength cultivation (algorithm)--Tree (ii) __ algorithm

: The general tree is a one-to-many relationship, the use of sequential structure storage is more difficult, but the binary tree is a special tree, each node has a maximum of two nodes, and the child nodes have the right and left points, and brothers, fathers, children can be very convenient by number, so we use the sequential storage structure using two-tree storage. Binary tree Each node has up to two children, so for it to design a data field and two pointer fields, we call such a linked li

Can't make money or iOS system hard to wait for the "bio-Jones" from AppStore down the shelf

2K Company's classic game "bio-Jones" is now from the Apple App Store shelves, and did not make a clear explanation and compensation instructions. As early as July, the game was not suitable for iOS8.4 "black screen" and other issues."BioShock" is a 2K company to create a very classic shooting game, on the PC and host platform has a high popularity, last year, the migration to the iOS platform has won a lot

Linux C Advanced Programming-network programming (3)

are usually incompatible and in one segment because of a semi-closed connection, in which case the client cannot send the data to the server after the connection is closed. However, the server can also send data to the client until the server closes the connection.3. Flow controlIf the sending side is sent at a faster rate, the receiver receives the data after the processing is slow, and the size of the receive buffer is fixed, the data is lost. TCP protocol through " " Sliding window ( Sliding

"Goto" suffix array

characters. After finding the name group, you can compare the size of any two suffixes with only O (1) time. After finding one of the suffix arrays or the rank array, you can use O (n) time to find the other one. Any two suffixes if you compare the size directly, you need to compare the characters n times, that is, at the latest in the comparison of the nth character will be able to separate the "winner".1.2. Multiplication algorithmThe main idea of the multiplication algorithm is to sort the s

TCP Connection Basics (i)

the sending side is sent at a faster rate, the receiver receives the data after the processing is slow, and the size of the receive buffer is fixed, the data is lost. The TCP protocol solves this problem through a "sliding window (Slidingwindow)" mechanism. Look at the communication process in the diagram below. 1. Send side initiates the connection, declares the maximum segment size is 1460, the initial sequence number is 0, the window size is 4K, indicates "My receive buffer also has 4 K byt

Answers to questions about 2012 mathematics analysis postgraduate entrance exams of Huazhong Normal University

Label: style blog http OS ar SP on art log From xulu1352 I. (1) proof: by $ {x }_{ 1 }}=\ frac {1} {2 }, {x }_{ 2 }}=\ frac {3} {8}, {x }_{ 3 }}=\ frac {55} {128 }, \ cdots $. I guess $ \{{ x }_{ 2n + 1 }}\}$ monotonically decreases, $ \{{ x }_{ 2n }}\} $ monotonically incrementing Use the number method to verify first $ \ SQRT {2}-1 \ le {x }_{ 2n + 1 }}\ Le \ frac {1} {2 }, \ frac {3} {8} \ le {x }_{ 2n + 1 }}\ Le \ SQRT {2}-1 $ (1) When $ n = 1 $, $ \ SQRT {2}-1 {x }_{ 1 }}=\ frac {1} {2} $

2015 Huawei Machine Test--integer segmentation

Title Description:An integer can be split into the sum of 2 powers, for example: 7 = 1+ 2 + 4 7 = 1 + 2 + 2 + 2 7 = 1 + 1 + 1 + 4 7 = 1 + 1 + 1 + 2 + 2 7 = 1 + 1 + 1 + 1 + 1 + 2 7 = 1 + 1 + 1 + 1 + 1 + 1 + 1 There are six different ways to split Another example: 4 can be split into: 4 = 4, 4 = 1+1+1+1, 4 =, 4 = 1+1+2. use f (n) to denote the number of different splits of N, such as f (7) = 6. required to read n (not more than 1000000), output f (n)% 1000000000. Problem Solving Ideas:F

"Turn" is derived from the HashMap hash algorithm and the calculation & conversion problem

, if it is negative, it may be 0 or 1, depending on the computer system used.③, ">>>" unsigned Right shift, the right bit is squeezed out, for the left to move out of the space to fill 0.According to the characteristics of the binary number, I believe that everyone is well understood.For given an arbitrary decimal number xnxn-1xn-2 .... X1x0, we decompose it with a binary representation method:Xnxn-1xn-2 .... x1x0 = xn*2n+xn-1*2n-1+......+x1*21+x0*20 3-1 formulaThe decimal number here is only th

Implementation of binary multiplication method

of the product of the W bit is the same as the low w bit of the product of the unsigned number. This means that the computer can use a single instruction to perform unsigned and complementary multiplication operations. The proof of this process is given in the book, so let's take a look at the relationship between unsigned and complementary codes, where x ' and Y ' represent the complement codes for x and Y, respectively. The main technique used here is 2w mod 2w = 0. optimization of multiplic

Can 4K mobile phone save Sony mobile phone?

now just a gimmickIn the 1080P screen has become the thousand-yuan machine and even the 799-yuan model standard now, discuss high-end flagship model is equipped with higher resolution screen, highlighting its high-end status, is a difficult problem to avoid. And in order to ensure that its model has been a continuous gimmick can do marketing means, domestic mobile phone brand also played early 2K screen. Last year Meizu launched a high-profile launch

Getting Started with PHP crash (3) _php tutorial

explain the time setting for PHP. PHP is a UNIX-based technology that users need to represent the current time in seconds since January 1, 1970. It's a bit confusing for a general user who doesn't have any programming experience with UNIX systems. However, there is no need to worry, because PHP provides us with a very simple solution, namely the Mktime () function. The user can enter the time that the user wants to represent in the order of hours, minutes, seconds, months, days, and years in th

cookie_php Tutorials in PHP

total number of seconds from January 1, 1970. If you are a UNIX programmer, this algorithm might be reasonable for you. But if you come from Windows or the Macintosh camp, you may just shake your head and sigh and not understand the quirky Unix guys. But don't be afraid. PHP provides a very useful function mktime (). You just send the order to Mktime () the hour, minute, number of seconds, month, date, and year that you want to represent, and mktime () returns the total number of seconds that d

[Fourier transform and its application study notes] five. Fourier series continuity discussion, thermal equation

This is my study notes, the course for NetEase Open Class Stanford University Open Class: Fourier transform and its application.Thermal equation Follow-upThe Fourier coefficients of the thermal equation are deduced from the previous lesson:$C _k (t) = c_k (0) e^{-2\pi ^2 k^2t}$So what is $c_k (0) $?The previous lesson mentioned that temperature has the following relationship:$U (x,t) = \displaystyle{\sum_{k=-\infty}^{\infty}c_k (t) e^{2\pi ikx}}$When $t=0$, represents the temperature distributio

In-depth understanding of computer systems (2.6)---Multiplication and division operations of binary integers (important) "high degree of difficulty"

instead of multiplication. The premise of the above optimization is that for a W-bit binary number, it is the product of 2k, equivalent to this binary number left shift K-bit, in the low-complement K 0. This is demonstrated in the book by the following procedure.This process mainly uses the formula of unsigned coding, the ape friends should not be ugly to understand.With the above foundation, we can use SHIFT and addition to optimize the multiplicati

Talking about the compression perception (15): The spark constant of the measurement matrix

In the sense of compression, there are some indicators used to evaluate the measurement matrix, such as common rip, and spark constants can be used to measure the suitability of a measurement matrix in addition to rip.1, 0 space conditions null spaces ConditionBefore introducing Spark, consider the 0 space of the measurement matrix.Here we consider the conditions to be satisfied with the measurement matrix from the 0 space of the matrix: for K sparse signal X, when and only if the 0 space of the

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