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日本代购-線形空間入門 図で整理!例題で納得! / 梶原健 【本】
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日本代购-出荷目安の詳細はこちら内容詳細目次 : 行列の基礎—数の行列？！/ 数ベクトル空間—数を集めて矢をつくる/ 1次独立、基底、次元—基本のベクトルで組み立てる/ 線形写像—空飛ぶベクトル？/ 次元定理—ベクトルの集まりを数えよう/ 表現行列—行列で表現しよう/ 計量線形空間—ベクトルの長さを計ったら…/ エルミート変換、ユニタリ変換—長さを変えずに動かすと…/ 線形空間—和とスカラー倍で広がる世界/ 固有値—伸び縮みするフレームをみつけよう/ 行列の標準形—行列はみんな同じ顔だった？/ 行列のべき—行列をたくさん掛けてもすぐわかる？/ 2次形式—なつかしい放物線/ 演習問題2—さあ、仕上げ！期末テストだ/ 付録：行列のまとめ—数を四角く並べて考えよう！
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Process: 0.274s ( Load:0.012s Init:0.021s Exec:0.193s Template:0.048s ) | DB :22 queries 0 writes | Cache :5 gets 2 writes | UseMem:27,595 kb
页面Trace信息
当前页面 : /index.php/Rakuten/ShopView/id/hmvjapan:27286952.html
请求方法 : GET
通信协议 : HTTP/1.1
请求时间 : 2025-08-19 16:20:17
用户代理 : Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
会话ID : r26ncb874omp200d2e8h5jvbd5
运行数据 : Process: 0.274s ( Load:0.012s Init:0.021s Exec:0.193s Template:0.048s ) | DB :22 queries 0 writes | Cache :5 gets 2 writes | UseMem:27,595 kb
输出编码 :
加载类库 : 37
模板编译 : 重新编译
SQL记录 : 22条SQL
[ 25-08-19 16:20:17 ] RunTime:0.002824s SQL = SHOW COLUMNS FROM bio_yahooid
[ 25-08-19 16:20:17 ] RunTime:0.001239s SQL = SHOW COLUMNS FROM bio_agent
[ 25-08-19 16:20:17 ] RunTime:0.000664s SQL = SELECT * FROM bio_agent WHERE ( `isViews` = 1 ) AND ( `domain` LIKE '%test.ripai.com' )
[ 25-08-19 16:20:17 ] RunTime:0.000284s SQL = SELECT * FROM bio_agent WHERE ( `domain` = 'www.jp-daigou.com' )
[ 25-08-19 16:20:17 ] RunTime:0.000329s SQL = select * from bio_siteparams where FIND_IN_SET('081',AgentID)
[ 25-08-19 16:20:17 ] RunTime:0.000397s SQL = SHOW COLUMNS FROM bio_point
[ 25-08-19 16:20:17 ] RunTime:0.001351s SQL = SHOW COLUMNS FROM bio_user
[ 25-08-19 16:20:17 ] RunTime:0.000659s SQL = SELECT * FROM bio_goods WHERE `isView` = 1 and gType<=3 ORDER BY created DESC LIMIT 15
[ 25-08-19 16:20:17 ] RunTime:0.000371s SQL = SHOW COLUMNS FROM bio_syscolumn
[ 25-08-19 16:20:17 ] RunTime:0.000272s SQL = SELECT * FROM bio_syscolumn WHERE ( `column_leftid` = 17 ) AND ( `column_open` = 1 ) ORDER BY column_order asc
[ 25-08-19 16:20:17 ] RunTime:0.000275s SQL = SELECT * FROM bio_syscolumn WHERE ( `column_leftid` = '19' ) AND ( `column_open` = 1 ) ORDER BY column_order asc
[ 25-08-19 16:20:17 ] RunTime:0.001191s SQL = SELECT * FROM bio_syscolumn WHERE ( `column_leftid` = '89' ) AND ( `column_open` = 1 ) ORDER BY column_order asc
[ 25-08-19 16:20:17 ] RunTime:0.000413s SQL = SELECT * FROM bio_syscolumn WHERE ( `column_leftid` = '20' ) AND ( `column_open` = 1 ) ORDER BY column_order asc
[ 25-08-19 16:20:17 ] RunTime:0.000358s SQL = SELECT * FROM bio_syscolumn WHERE ( `column_leftid` = '18' ) AND ( `column_open` = 1 ) ORDER BY column_order asc
[ 25-08-19 16:20:17 ] RunTime:0.000657s SQL = SHOW COLUMNS FROM bio_rakutencategory
[ 25-08-19 16:20:18 ] RunTime:0.000261s SQL = SELECT * FROM bio_rakutencategory WHERE id=200500
[ 25-08-19 16:20:18 ] RunTime:0.000183s SQL = SELECT p.id,p.name_cn FROM bio_rakutencategory p LEFT JOIN bio_rakutencategory c on c.parentid=p.id WHERE c.id=200500
[ 25-08-19 16:20:18 ] RunTime:0.000155s SQL = SELECT p.id,p.name_cn FROM bio_rakutencategory p LEFT JOIN bio_rakutencategory c on c.parentid=p.id WHERE c.id=101281
[ 25-08-19 16:20:18 ] RunTime:0.000173s SQL = SELECT p.id,p.name_cn FROM bio_rakutencategory p LEFT JOIN bio_rakutencategory c on c.parentid=p.id WHERE c.id=200162
[ 25-08-19 16:20:18 ] RunTime:0.000136s SQL = SELECT * FROM bio_rakutencategory WHERE parentid=200500
[ 25-08-19 16:20:18 ] RunTime:0.000509s SQL = SHOW COLUMNS FROM bio_rate
[ 25-08-19 16:20:18 ] RunTime:0.000274s SQL = SELECT * FROM bio_rate WHERE ( `type` = 'RMB->JPY' ) ORDER BY date desc LIMIT 1
错误记录 : 103条错误
[ 25-08-19 16:20:17 ] 注意：[8] A session had already been started - ignoring session_start() App.class.php 第 115 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated apiExecuter.php 第 253 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated apiExecuter.php 第 284 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated getApiData.php 第 125 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated getApiData.php 第 134 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated getApiData.php 第 499 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Request.php 第 412 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Request.php 第 736 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Request.php 第 749 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Request.php 第 794 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Redefining already defined constructor for class Net_URL URL.php 第 122 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Unserializer.php 第 691 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Unserializer.php 第 693 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Unserializer.php 第 852 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Redefining already defined constructor for class XML_Parser Parser.php 第 206 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Parser.php 第 576 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Declaration of XML_Parser::raiseError() should be compatible with that of PEAR::raiseError() Parser.php 第 634 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: openid BaseAction.class.php 第 72 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: Debug BaseAction.class.php 第 174 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: uid BaseAction.class.php 第 209 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Client.php 第 179 行.
[ 25-08-19 16:20:17 ] 注意：[8192] Assigning the return value of new by reference is deprecated Client.php 第 228 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined variable: type_ BaseAction.class.php 第 649 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined variable: type_ BaseAction.class.php 第 649 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined offset: 11 BaseAction.class.php 第 349 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined variable: type_ BaseAction.class.php 第 649 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined variable: agentId common_inc.php 第 3135 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe forbidcates.php 第 108 行.
[ 25-08-19 16:20:17 ] 注意：[2] shuffle() expects parameter 1 to be array, boolean given BaseAction.class.php 第 418 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined property: RakutenApiExecuter::$ApiDataWorker RakutenApiExecuter.php 第 346 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: appid getApiData.php 第 417 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe getApiData.php 第 436 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe getApiData.php 第 447 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugYourMa getApiData.php 第 450 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe getApiData.php 第 468 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe getApiData.php 第 481 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined variable: options Unserializer.php 第 448 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Non-static method PEAR::isError() should not be called statically, assuming $this from incompatible context getApiData.php 第 503 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Non-static method PEAR::isError() should not be called statically, assuming $this from incompatible context getApiData.php 第 509 行.
[ 25-08-19 16:20:17 ] 注意：[2048] Non-static method PEAR::isError() should not be called statically, assuming $this from incompatible context RakutenAction.class.php 第 595 行.
[ 25-08-19 16:20:17 ] 注意：[8] Undefined index: isDebugMe RakutenAction.class.php 第 607 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: categoryPath RakutenCategoryGetter.class.php 第 55 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: _imgserver YahooAction.class.php 第 1014 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: _imgserver YahooAction.class.php 第 1014 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: descpre RakutenAction.class.php 第 645 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: type_ BaseAction.class.php 第 649 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: agentId common_inc.php 第 3135 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: isDebugMe forbidcates.php 第 108 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: type_ BaseAction.class.php 第 649 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: showmiddleOfIndex bf17f8f5a76a9d7e9186c4c573d8f8fc.php 第 2 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: parseStr TagLibCx.class.php 第 272 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: parseStr TagLibCx.class.php 第 272 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: parseStr TagLibCx.class.php 第 272 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: parseStr TagLibCx.class.php 第 272 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined offset: 0 ThinkTemplate.class.php 第 578 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined offset: 0 ThinkTemplate.class.php 第 578 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: meta_keyword 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 7 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 42 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: U 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 59 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 97 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 121 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: keyword 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 134 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 150 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 201 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: category 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 278 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: so 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 280 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: dr 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 281 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: keyword 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 286 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: shopcode 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 296 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: minPrice 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 300 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: maxPrice 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 301 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 453 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: category 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 454 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: so 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 456 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: dr 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 457 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: keyword 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 462 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 463 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: Act 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 464 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: sellerID 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 476 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: store 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 486 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: store 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 489 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: store 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 492 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: item_status 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 503 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: item_status 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 506 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: item_status 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 509 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: wrappingicon 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 520 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: buynow 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 523 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: thumbnail 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 525 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: urlpre 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: chkjp 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: urlpre 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: chkjp 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: urlpre 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: chkjp 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: urlpre 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: chkjp 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: urlpre 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: chkjp 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 536 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: aucminprice 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 537 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined index: aucmaxprice 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 538 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: isindex 7e3578d85670e1bc8aad2b48d2c6a90d.php 第 577 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined offset: 0 ThinkTemplate.class.php 第 578 行.
[ 25-08-19 16:20:18 ] 注意：[8] Undefined variable: url 97ae39e43927d85ac9989230a15609a2.php 第 4 行.