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[Journal of mathematics at home University] Question of 262nd Postgraduate Entrance Exam of Mathematics Analysis of Guangzhou University in 2013

1. ($3 \ times 15' = 45' $) 1. evaluate $ \ DPS {\ ls {n} (a ^ N + B ^ N) ^ \ frac {1} {n }}$, where $ A> B> 0 $. Answer: by $ \ Bex a 2. find $ \ DPS {\ lim _ {x \ to 0} \ frac {\ arctan X-x} {x \ tan ^ 2x }}$. Answer: $ \ Bex \ mbox {Original limit }=\ LiM _ {x \ to 0} \ frac {\ arctan X-x} {x ^ 3 }=\ LiM _ {x \ to 0} \ frac {1} {1 + x ^ 2}-1} {3x ^ 2 }=\ LiM _ {x \ to 0} \ frac {-1} {3 (1 + x ^ 2 )} =-\ frac {1} {3 }. \ EEx $ 3. set $ f (x) $ to a

HDU-1028-Ignatius and the Princess III

HDU-1028-Ignatius and the Princess III Http://acm.hdu.edu.cn/showproblem.php? Pid = 1, 1028 Integer Division, helpless, timeout # Include Referring to TankyWoo's blog, I used the primary function to solve the problem of integer division. Example Each weight has one weight of one gram, two grams, three grams, and four grams. What kind of weight can be claimed? What are the possible solutions for each weight? One 1 gram weight can be represented by the function 1 + x 1 2 grams of weight can be e

Obtains the MAC address of a specified IP address.

# Include "stdafx. H"# Include # Include # Pragma comment (Lib, "iphlpapi. lib ")# Pragma comment (Lib, "ws2_32.lib ")Int main (INT argc, char * argv []){Int ireturn;DWORD dwip;Byte bymac [6];DWORD dwlen;Wsadata;Wsastartup (makeword (2, 0), wsadata );_ Try{Printf ("ip2mac ver 1.0 -- get MAC address from IP address though ARP request./n ");If (argc! = 2){Printf ("Usage: % s/n", argv [0]);_ Leave;}Dwip = inet_addr (argv [1]);If (dwip = inaddr_none){Printf ("invalid IP Address: % S./N", argv [1]);

Images. xcassets, images. xcassets usage

Images. xcassets, images. xcassets usageOverview of Images. xcassets Allows you to conveniently manage image resources.Image Acquisition Method Image resources in Images. xcassets can only be loaded using imageNamed: method, and the path of the image cannot be obtained through pathForResource: ofType: Of NSBundle. Therefore, Images. xcassets are only suitable for storing image resources that are commonly used by the system and occupy a small amount of memory. AppIcon Example 1 -Display in fin

Review question two

A short answer, some process omitted, just give ideas and resultsOne1.5 (the derivative of the odd function is even function, the previous conclusion of the workbook)2.13. $ (f ' (x) \arctan f (x) +\frac{f (x) F ' (x)}{1+f^2 (x)}) dx$4. $\frac{\pi}{16}$ (first using parity, get the original $=\frac14 \INT_0^{\PI/2} (\sin 2x) ^2 D (2x) $,Note that $ \INT_0^{\PI/2} (\sin

How to get a MAC address from a string

Today, I felt that the programming level down, deliberately practiced, according to the MAC address string, to obtain the MAC address of 2 methods.#include void Func1 (char *str){unsigned char mac[6] = {0};SSCANF (str, "%2x:%2x:%2x:%2x:%2x:%

Big screen iphone adaptation +ios picture size requirements

Excerpt from: http://blog.ibireme.com/2014/09/16/adapted_to_iphone6/Apple's website is designed to show that the ultra-high pixel density of the retina display has surpassed the range of human eyes to distinguish.What effect does retina have on image design (icons, splash screens and all other pixels)? If our app is to support retina, we need to provide high resolution (wide x2, high x2) images. Also, in order to support devices without retina, you still have to prepare a low-resolution version.

Mobile page Design specifications Large-scale bottom

640x1136 40px 88px 98PX (88px) iphone5c 640x1136 40px 88px 98PX (88px) IPhone5 640x1136 40px 88px 98PX (88px) Iphone4s 640x960 40px 88px 98PX (88px) IPhone4 640x960 40px 88px 98PX (88px) iphone icon Size: System Resolution Fillet size IOS 6- 90px-1024px Approx. width of icon x0.175

ASP. NETC # It is much easier to convert the TypeParse type of general extension functions,

ASP. NETC # It is much easier to convert the TypeParse type of general extension functions, Usage: Var int1 = "2 ". tryToInt (); // If int conversion fails, 0 var int2 = "2x" is returned ". tryToInt (); var int3 = "2 ". tryToInt (1); // If int conversion fails, 1 var int4 = "2x" is returned ". tryToInt (1); var d1 = "2 ". tryToMoney (); // same as var d2 = "2x

The display of Web images is compatible under the "Go" Retina screen

image: 1 Replaced with @2x images, the display on the Retina screen is much clearer, and the details are completed. However, in the ordinary screen, the image display needs to be compressed by the browser, some older browsers such as IE6, 7 will display very distorted, while the large size of the picture will occupy more bandwidth, increase the page load time, reduce the user experience. With the help of JS, the pictu

IOS app Screen size adaptation

solve the above compatibility issues.To run the previous app, introduce a new concept point (dot). The point concept is important in iOS development, not the developer's attention. The IPhone 4 screen size continues to be x 480, but the units are not pixels but dots.In the iphone 3GS, 1 dots equals 1 pixels. In other words, dots and pixels can be exchanged directly.In iphone 4, 1 dots equals 2 pixels.The screen size of the iphone 4 and iphone 3GS is actually the same, all 3.5 inches. The same p

PHP Chinese letter/digit verification code class, customizable font _ PHP Tutorial

; // @ Constructor Public function Captcha (){ $ This-> textNum = 4; $ This-> fontSize = 16; $ This-> fontFamily = 'C: \ windows \ fonts \ SIMYOU. ttf'; // you can change the Chinese font to a linux directory. $ This-> textLang = 'en '; $ This-> noisePoint = 30; $ This-> noiseLine = 3; $ This-> distortion = false; $ This-> showBorder = false; } // From bkjia.com // @ Set the image width Public function setWidth ($ w ){ $ This-> width = $ w; } // @ Set the image height Public function setHeigh

QT uses WOL to enable remote one-click Boot (LAN, requires the target computer's motherboard support, and plug in the network cable)

Function: Let the computer shut down a key to boot, need the target computer motherboard support, and plug in the network cable;Effect: the equivalent of manually pressing the target computer's switch button.No technical content, simple came David ...1. Get the target MAC addressQbytearray smacaddr ("00-1f-16-26-d5-73");2. Package Magic Package ChmagicpacketChar chmacaddr[9];//should be 6 characters, but if you write 6 characters, the following sscanf_s will error, so write a large point char ch

Support Chinese alphanumeric, custom font PHP captcha Program _php Tutorial

colorPrivate $randBgColor;@ Define Character languagePrivate $textLang;@ Define number of interference pointsPrivate $noisePoint;@ Define number of interference linesPrivate $noiseLine;@ defines whether to distortPrivate $distortion;@ Define distort picture sourcePrivate $distortionImage;@ Defines if there is a borderPrivate $showBorder;@ Define CAPTCHA Picture SourcePrivate $image; @Constructor ConstructorsPublic Function Captcha () {$this->textnum=4;$this->fontsize=16;$this->fontfamily= ' C:\

Use ioctl to set the mac address to obtain the current IP address, subnet mask, and other information.

; unsigned char mac[6]; if(argc != 2) usage(); else name = argv[1]; sockfd = socket(AF_INET,SOCK_DGRAM,0); strncpy(ifr.ifr_name,name,IFNAMSIZ-1); if(ioctl(sockfd,SIOCGIFADDR,ifr) == -1) perror("ioctl error"),exit(1); addr = (struct sockaddr_in *)(ifr.ifr_addr); address = inet_ntoa(addr->sin_addr); printf("inet addr: %s ",address); if(ioctl(sockfd,SIOCGIFBRDADDR,ifr) == -1) perror("ioctl error"),exit(1); addr = (struct sockaddr

Obtain the MAC address through ARP

ARP is used to convert the IP address and MAC address. It specifies the IP address in the LAN where the MAC address is to be obtained in the ARP packet and then sends it to the LAN, the machine with the specified IP address receives and returns an ARP packet, and specifies its MAC address in the returned packet. In this way, the Mac is obtained. The MAC address of the local machine can also be obtained in this way. The following is code implementation. For convenience, I directly used the sendar

How does PHP find the root of a quadratic equation? _ PHP Tutorial

How does PHP find the root of a quadratic equation ?. Today, someone has a mathematical question: 4x + 1x2. how much is x. Converting the equation, 4x2 + 12x, and then 4x2 + 2x + 10, is actually a problem of the unary quadratic equation. For a long time, no one has a mathematical problem today. 4x + 1/x = 2. how much is x. Convert the equation to 4x2 + 1 = 2x, and then 4x2-

"COCOS CREATOR Series tutorial Four" based on 0.7.1 first simple to make a pageview

Explorer, and drag PageView Prefab into the hierarchy Manager to use.2. Parameter settings: Select the root node PageView, and then view The script provides the parameters , such as: 650) this.width=650; "class=" Alignnone size-medium wp-image-2002 "src=" http://www.himigame.com/wp-content/uploads/ 2016/02/qq20160205-1@2x-300x227.png "alt=" qq20160205-1@2x "width=" "height=" 227 "style=" border:1px solid

The detailed solution of yzoi2223 set construction

Description-Problem descriptionThe definition of set M is as follows: 1 is the element in M If x is an element in M, then both 2x+1 and 4x+5 are elements in M So, what is the minimum number of n in the set m?Input-Enter dataAn integer n (1Output-outputs datan a small to large integer, separated by a space.A careful analysis can infer that the last number of outputs required must be monotonically increasing. At the time to do this pro

Chapter two self-test questions

1. Fill in the blanks(1) $\frac12 F ' (X_0) $To make $x =x_0+ \delta x$, the\[\mbox{native}=\lim_{\delta x\to 0}\frac{F (x_0 +\frac{\delta x}{2})-F (x_0)} {\delta X}=\frac12\lim_{\delta x\to 0}\frac{F (x_0 +\frac{\delta x}{2})-F (x_0)} {\frac{\delta x}{2}}=\frac12 F ' (X_0).\]If not strictly utilized on $x $ Rockwell can be seen more intuitively\[\mbox{Native}=\lim_{x\to X_0}\frac{\frac12 F ' (\frac{x+x_0}{2})} {1}=\frac12 F ' (X_0).\](2)-4Because\[\frac{2}{x^3} f ' (\frac{1}{x^2}) =\frac1x,\]So

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