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Non-degraded bilinear linear type

\ Leq \ dim V ^ \ ast $. Because any finite dimension vector space has the same dimension as its dual space, we obtain $ \ dim v = \ dim W $ by combining the two inequalities, and $ V \ rightarrow \ varphi_v $ is a linear homogeneous structure from $ V $ to $ w ^ \ ast $, $ w \ rightarrow \ phi_w $ is a linear homogeneous structure from $ W $ to $ V ^ \ ast $. To sum up, if $ V \ times w \ rightarrow F $ is a non-degraded bilinear type $ B $, then $ \ dim v = \ dim W $, in addition, $ V $ and

PHP Judge visit is a search engine spider or ordinary user code summary _php instance

1, a recommended method: PHP to determine the search engine spider crawler or human access code, excerpted from Discuz x3.2 The actual application can be judged in this way, directly is not a search engine to perform operations 2, the second method: Using PHP to achieve spider access log statistics $useragent = Addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot

CS Comprehensive Introduction and problem solving _cs script

same case) Mapcyclefile mapcycle.txt ... Select the map switch profile, the default is Mapcycle.txt, you can prepare several sets of files. Mp_autokick 1 .... Sleep and TK three times after the system is automatically kicked off by the systems. Mp_autoteambalance 1 ... automatic team balance, 0 for allowing both numbers to be uneven and bot playing good parameters! Mp_buytime 1.5 ... in minutes, that is, 90 seconds can be back to the base to buy

Using PHP to implement Spider access log statistics _php techniques

Copy Code code as follows: $useragent = Addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot = ' Google ';} ElseIf (Strpos ($useragent, ' Mediapartners-google ')!== false) {$bot = ' Google Adsense ';} ElseIf (Strpos ($useragent, ' Baiduspider ')!== false) {$bot = ' Baidu ';} ElseIf (Strpos ($use

PHP judges whether the visitor is a search engine spider or a common user's code _ php instance

This article mainly introduces PHP code summary for determining whether a visitor is a search engine spider or a common user. There are always one method that suits you, prevent search engine spider from dragging the search engine. 1. recommended method: php judges whether the search engine spider crawlers are manually accessing the Code, from Discuz x3.2 In actual applications, you can determine that the operation is not performed by a search engine. 2. Method 2: Use PHP to collect spide

PHP code summary for determining whether a visitor is a search engine spider or a common user

This article mainly introduces PHP code summary for determining whether a visitor is a search engine spider or a common user. There are always a variety of methods suitable for you to prevent search engine spider from dragging the search engine to death. This article mainly introduces PHP code summary for determining whether a visitor is a search engine spider or a common user. There are always a variety of methods suitable for you to prevent search engine spider from dragging the search engine

In the face of the most vegetables TI team, OpenAI in the Dota2 lose no fight against the power

Tony Peng Last year, OpenAI's 1v1 Ai defeated the world's top player Dendi,openai CTO Greg Brockman Promise: Next year, we will return TI with 5v5 AI bot. Today, they fulfilled their promise to challenge the world's top Dota 2 human players with a new OpenAI Five. However, after a 51-minute race, OpenAI experienced a complete defeat. According to the introduction, many of the TI8 participating teams are enrolled to participate in the gam

PHP to determine whether the visit is a search engine spider or ordinary user code summary _php instance

1, recommended a method: PHP Judge search engine Spider crawler or human access code, from Discuz x3.2 The actual application can be judged in this way, directly not the search engine to perform the operation 2. The second method: Using PHP to implement Spider access log statistics $useragent = Addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot = ' Google ';} elseif (Strpos ($useragent, '

PHP screen spider access code and common search engine http_user_agent_php skills

! Slurp "," Youdaobot "," Yahoo slurp ", "MSNBot", "Java (often spam bot)", "Baiduspider", "voila", "Yand Ex bot "," Bspider "," Twiceler "," Sogou Spider "," Speedy Spider ", "Google AdSense", "Heritrix", "Python-urllib", "Alexa (IA archiver)", "Ask", "Exabot", "Custo", "Outfoxbot/yodaobot", "YaCy", "Surveybot", "Legs", "LWP-trivial "," Nutch "," Stackrambler "," The

Comprehensive analysis of the actual application of wireless access points

It is very important to know some knowledge about wireless access points. So I studied the application of wireless access points in practice. I will share with you here, hoping to help you. Recently, the University of Queensland has partnered with Cisco Nasdaq stock code: CSCO to deploy the world's largest 802.11n wireless network to create a unique collaboration environment, the goal is to create schools of higher education in Australia with the best online access conditions. The University of

Using PHP to implement Spider Access Log Statistics _php Tutorial

Copy CodeThe code is as follows: $useragent = Addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot = ' Google ';} ElseIf (Strpos ($useragent, ' Mediapartners-google ')!== false) {$bot = ' Google Adsense ';} ElseIf (Strpos ($useragent, ' Baiduspider ')!== false) {$bot = ' Baidu ';} ElseIf (Strpos ($userage

Code written by php about the crawler record of static pages

Code written by php about the crawler record of static pages $ Useragent = addslashes (strtolower ($ _ SERVER ['http _ USER_AGENT ']); If (strpos ($ useragent, 'googlebot ')! = False) {$ bot = 'Google ';} Elseif (strpos ($ useragent, 'mediapartners-google ')! = False) {$ bot = 'Google Adsense ';} Elseif (strpos ($ useragent, 'baidider Ider ')! = False)

Use PHP to collect spider access logs

Copy codeThe Code is as follows: $ useragent = addslashes (strtolower ($ _ SERVER ['HTTP _ USER_AGENT ']); If (strpos ($ useragent, 'googlebot ')! = False) {$ bot = 'Google ';}Elseif (strpos ($ useragent, 'mediapartners-google ')! = False) {$ bot = 'Google Adsense ';}Elseif (strpos ($ useragent, 'baidider ider ')! = False) {$ bot = 'baidu ';}Elseif (strpos ($ us

Pioneer Pirates _ Thieves/Collection

= CsetBytestobstr = objstream. ReadTextObjstream. CloseSet objstream = NothingEnd Function Public Sub Steal () ' The HTML code/method that steals the destination URL addressIf src_Dim HttpSet Http=server.createobject ("MSXML2. XMLHTTP ")Http.open "Get", Src_, FalseHttp.send ()If Http.readystateExit SubEnd IfValue_=bytestobstr (Http.responsebody, "GB2312")isget_= TrueSet http=nothingIf Err.numberElseResponse. Write (")End IfEnd Sub ' Delete the inside of the stolen content of the line, carriag

Use PHP to collect spider access logs

This article is a detailed analysis of the code for using PHP to implement log statistics on spider access. For more information, see The code is as follows: $ Useragent = addslashes (strtolower ($ _ SERVER ['http _ USER_AGENT ']); If (strpos ($ useragent, 'googlebot ')! = False) {$ bot = 'Google ';} Elseif (strpos ($ useragent, 'mediapartners-google ')! = False) {$ bot = 'Google Adsense ';} Elseif (strpo

"Pioneer Pirate Class" Ver2005 final version _asp class

to the specified end-end string (excluding the end-end string)/method The Public sub-cut (head,bot) ' argument is the first string, the tail string If isget_= false Then call steal () If InStr (Value_, head) >0 and InStr (Value_, bot) >0 then Value_=mid (Value_, InStr (Value_, head) +len (head), InStr (Value_, Bot)-instr (head) Else value_= "End If End Su

Using PHP to achieve spider access log statistics

This article is the use of PHP to achieve the spider access log statistics of the code for a detailed analysis of the introduction, the need for a friend reference under the copy code code as follows: $useragent = addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot = ' Google ';} elseif (Strpos ($useragent, ' Mediapartners-google ')!== false) {$bot

PHP code for Spiders crawling Records of static pages

$useragent = Addslashes (Strtolower ($_server[' http_user_agent ')); if (Strpos ($useragent, ' Googlebot ')!== false) {$bot = ' Google ';} ElseIf (Strpos ($useragent, ' Mediapartners-google ')!== false) {$bot = ' Google Adsense ';} ElseIf (Strpos ($useragent, ' Baiduspider ')!== false) {$bot = ' Baidu ';} ElseIf (Strpos ($useragent, ' Sogou sp

VR Scenario Application value: Bridging Time and space barriers

With the diversification trend of emerging technologies and application scenarios, VR is ushering in a new development period.The person who made this point was Pico's CEO, Zhou Hongwei.At the "Singularity and Innovator Summit" held in Shanghai on July 15, Zhou Hongwei the idea of "VR technology will help people and the scene to implement the application portal". In his understanding, "VR technology will bring great changes to the application of the industry", through the

USB Mass Storage Learn note-stm32+flash implement USB flash drive

onlyThe Mass storage class supports two transport protocols:1. Bulk-only Transmission (BOT)2. Control/bulk/interrupt Transmission (CBI)The Mass Storage class specification defines two classes of requests: Get_max_lun and Mass Storage Reset, and all Mass Storage class devices must support both requests.Bulk-only Mass Storage Reset (bmrequesttype=00100001b and brequest= 11111111b) is used to reset the Mass Storage device and its associated interface.Ge

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