《维尔·达斯:异乡游子》电影在线观看- 全集剧情片...
面对突如其来的危机,新手或许会本能地猛打方向以求躲避,而老司机则会秉持“让速不让道”的金科玉律。在他们看来,紧急变道可能导致车辆失控,引发更严重的交通事故,尤其是与大型车辆的擦肩而过,更是危险重重。老司机的从容,体现在那份在电光火石间作出最合理判断的能力,用减速而非变道来化解危机,是他们经验与智慧的结晶。
2024年12月11日,德罗赞交易有进展
《维尔·达斯:异乡游子》电影在线观看- 全集剧情片...
原创2024-07-05 02:12·天外居
张柏芝当众拥吻谢霆锋 上海探班努力"造人"——中国新闻网初中,本该是孩子们学知识、长身体的黄金时期,换个说法,就是吃嘛嘛香、学嘛嘛牛的年纪。
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09:57·mumuxilitupianlaiyuan:Pixabaywomenzuozai3weidewuzili,zai2weidezhuomianshangxuexi、bangong,yanzhuo1weidechizizhangliangwuti,yong0weidebijianshuxie——“weidu”kanqilairucixunchangyidong。raner,shuxuejiamenquebingbuzhemerenwei。yidaidaideshuxuejiazaiwentiyumaodunzhongbuduandisisuo、bianzheng,xiwangnenggougeichuqueqiededaan:weidudaodishishime?dian、xian、mian、tizhijian,youshimeyangdelianxihebenzhidequbie?zhayikan,“weidu”(dimension)degainiansihuhenzhiguan。gurenbianyizhidaowomenshenghuozai3weikongjianzhong。yalishiduodezengzaizhuzuolibiaoshi:“keyizai1gefangxiangshangbiaozhengdaxiaode(xingzhuang)shiyitiaoxian,2gefangxiangdeshiyigepingmian,er3gefangxiangdezeshiyigeti。chucizhiwai,meiyoubiedekeyibiaozhengdaxiaodeqingxingcunzai,yinweizhicunzaishangshudezhexieweidu。”danshi,suihouwomenjiuhuiyishidao,gei“weidu”zhegegainianxiayigexiangjindedingyibingtuiguangdaoyibanqingxing,shijiweikunnande。shubainianlai,renmenjinxingliaodaliangdesixiangshiyan,tongguoxiangxianglaijinxingleibi,cairangwomenrujinnengduizheyigainianyoujiaoweiyangedejieshi。buguo,shuxuejiadengquntiyizhihenxiangshougouxianggengduoweidu,zuoyixienaoliduanlian。ruguodi4geweiduyimouzhongfangshiyuwomende3weikongjianchuizhi,nahuishishimeyangde?naoliyouxiyizhonghenchangyongdefangfashi,jiashewomendekezhiyuzhoushi3weikongjianzhongdeyige2weipingmian。zaizhegepingmianshangfang,piaofuzhuoyigewomenkanbujiandeshixinqiuti。danruguozhegeqiutidiaoluobingjiechudaopingmian,jiuhuichanshengyigedian。suizhuoqiutijixuchuanguopingmian,jiaojiechuhuichanshengyigeyuanpan,bingqiezhujianzengda,zhidaodadaozuidadaxiao。suihou,yuanpanzhujiansuoxiao,zuizhongchedixiaoshi。womenzhengshitongguozhexiejiemian,kandaoliao3weidetuxing。gezhong3weituxingyu2weipingmianxiangjiaodeqingkuang。shenghuozaipingmianlide“jumin”zhinengkandao3weiwutidehengjiemian。(tupianlaiyuan:Samuel Velasco/Quanta Magazine)yicileitui,ruguoyige4weiqiutichuanguowomensuoshuxide3weiyuzhou,nameshouxianhuichuxianyigedian,ranhouzhegedianbianchengyigexianzengdahousuoxiaodeqiuti,zhizhixiaoshi。zherangwomendui4weidetuxingyouliaoyidiangainian,danhuanyouqitafangfakeyixiangxiangzhexietuxing。bifangshuo,rangwomenshizhuozai4weikongjianzhonggoujianyigelifangtidedengjiawuti,jichaolifangti(tesseract)。ruguoyikaishiyouyigedian,womenkeyibazhegedianyanzhuoyigefangxiangjinxing“saomiao”,zheyangjiudedaoliaoyitiaoxianduan;jiangzhetiaoxianduanyanzhuoyuzhichuizhidefangxiang“saomiao”,keyidedaoyigezhengfangxing;yicileitui,womenkeyidedaoyige3weidelifangtiheyige4weidechaolifangti。yidongdiweituxing(lanse)jinxing“saomiao”,keyigoujianchugaoweituxing(zise),baokuochaolifangti。zongheyishangdeneirong,womenkeyizhiguandirenwei,ruguoyigechouxiangkongjianneiyoungeziyoudu,huozheshikongjianzhongyigediandeweizhixuyaongezuobiaolaimiaoshu,namezhegekongjianjiushinweide。buguo,shuxuejiamenfaxianweidudegainianbizhexiejianhuademiaoshugengweifuza。kansijiandan,shizefuzaduigaoweikongjiandezhengshiyanjiushiyu19shiji。zaijishiniannei,zheyilingyujiubiandejiweifuza。1911niandeyibuzhuzuo,zhululiao1832pianyunweikongjiandejihexueyouguandecankaowenxian。zai19shijimozhi20shijichu,gongzhongbiandedui“di4wei”jiweichikuang。1884nian,aidewen·abote(Edwin Abbott)zhuanxieliaofengcixiaoshuo《pingmianguo》(Flatland),rihoudashouhuanying。shuzhongmiaohuiliao2weishengmingyujianlaizidi3weidudeshengmingdechangjing,yongzheyileibilaibangzhuduzhemenlijiedi4geweidu。1909nian,《kexuemeiguoren》(Scientific American)zazhijubanliao“shimeshidi4wei?”zhutizhengwenbisai,jiangjinwei500meiyuan,gongshoudao245fencansaizuopin。erbaboluo·bijiasuo(Pablo Picasso)、masaier·dushang(Marcel Duchamp)dengxuduoyishujia,duzengzaizuopinzhongrongru“di4wei”degainian。danshizaizheyishiqi,shuxuejiamenyishidao,queshaoduiweidudezhengshidingyiqueshishiyigewenti。geaoerge·kangtuoer(Georg Cantor)zuizhumingdefaxianshibutongwuxianjihededaxiaoshibuyiyangde,huozheshuoyoubuyiyangdeshi(cardinality)。qichu,kangtuoerrenweiyitiaoxianduan、yigezhengfangxingheyigelifangtizhongdedianjibiranyoubutongdeshi,jiuxiangbaohan10gediandexianduan、10×10dewanggedianzhenhe10×10×10delifangtidianzhenbaohandedianshuliangbutongyiyang。raner,1877nian,tafaxianxianduanhezhengfangxingzhongdediancunzaiyiyiduiyingguanxi(duisuoyouweidudelifangtiyekeyiyicileitui),biaomingtamenyouxiangtongdeshi。yushitazhengmingliaoyigezhiguandejielun:jinguanxian、zhengfangxinghelifangtideweidubutong,dantamenyoutongyangshuliangdejixiaodediangoucheng。kangtuoeryishidao,zheyifaxiandui“nweikongjianxuyaongezuobiaolaimiaoshu”zheyizhiguandexiangfachanshengliaochongji。zheshiyinweinweilifangtizhongdemeiyigediandukeyiweiyidibeiyigequjianneideyigeshusuobiaoshi,yinerzaimouzhongyiyishang,zhexiegaoweidelifangtiyu1weidexianduanshidengjiade。ranerlixiade·didejin(Richard Dedekind)zhichu,kangtuoersuogouzaodehanshushigaodubulianxude,tashijishangshibayitiaoxianduanchaifenweiwuqiongduogebufen,ranhouzhongxinpinzhuangchengyigelifangti。danshi,zuobiaoxidegoujianbuyingdangbaohanzhezhongxingwei;zhezhongfangshiguoyuhunluan,jiuxianggeiniuyuemanhadundesuoyoujianzhuyigeweiyidedizhi,danzhexiedizhihemeiyidongjianzhuzhijiandepipeiqueshisuijide。1890nian,zhusaipei·piyanuo(Giuseppe Peano)faxian,1weiquxiankeyibeijincouqielianxudi“zhedie”qilai,bingtianman2weizhengfangxingneidemeiyigedian。buguo,tagouzaodequxianhuiyuzishenxiangjiaowuqiongduoci。ruguozaiyongmanhadunzuoleibidehua,zhejiuxiangyouyibufenjianzhuyouduogedizhi。daiwei·xierbote(David Hilbert)gouxiangdekongjiantianchongquxian。goujiantaxuyaoxunhuanjinxing5gebuzhou,zaimeiyibuzhongquxiandemianjidushi0,danzaijixianqingkuangxia,quxianbiannengtianmanzhengfangxing。zhexielizibiaoming,shuxuejiamenxuyaozhengming“weidu”shiyizhongzhenshicunzaidegainian;liru,dangn≠mshi,nweihemweioushikongjianzhijiancunzaizhuomouxiegenbendechayi。zheyimubiaohoulaiyanbianchengdui“weidububianxing”(invariance of dimension)wentideyanjiu。conggaoweikongjiandaohaianxianzaikangtuoerdefaxianzhihoujiangjinbangeshijinei,xuduoshuxuejiaduchangshizhengmingweidububianxing,danduzuoyuergui。zuizhong,zai1912nianshi,luyizi·bulaoweier(L.E.J. Brouwer)yingyongzijifamingdexinfangfa,zhongyuhuodeliaochenggong。benzhishangshuo,tazhengmingliaobukenengzaijibujiangwutifengechengxuduobufen(rukangtuoerdefangfa),youburangwutiyuzishenxiangjiao(rupiyanuodefangfa)deqingkuangxia,jiangyigegaoweiwutifangdaoyigeweidujiaodidewutinei,huoshiyongyigediweiwutiwanquantianchongyigeweidujiaogaodewuti。tongyishiqi,bulaoweierheqitashuxuejiahuangeichuliaoduoxiangyangedeshuxuedingyi。liru,qizhongyixiangdingyiyi“nweikongjianzhongdeqiutidebianjieshin-1weide”weijichu,yongguinafaguidingliaobutongdejihetuxingde“weidu”。jinguanbulaoweierdegongzuogei“weidu”degainiandiandingliaojianshideshuxuejichu,dantamenbingbunengbangzhurenmenzhiguandilijiegaoweikongjian,yinweiwomendui3weikongjianguoyushuxi,wangwanghuibeiwudao。liru,jiashewomenyaoba2^ngebanjingwei1deqiutifangdaoyigebianchangwei4denweilifangtili,ranhouzaizhongxinzaifangyigeqiu,shizhiyuqitaqiutiquanduxiangqie。zhongxinqiutidebanjingwein1/2-1,suizhuondezengdaerzengda。yushi,zhehuidaozhiyigefeichanglingrenzhenjingdejieguo:dangn≥10shi,zhegeqiutijiuhuichaochulifangtidebian。yigezhengfangxingneifangruliao5geyuan(zuo)helifangtineifangru9geqiuti(you)deqingxing。suizhuoweiduzengjia,zhongxindeqiutihuizhujianzengda,zuizhonglifangtijiangwufarongnata。duiweidudetansuobingweizhiyubulaoweierdefaxian。duanduanjinianhou,feilikesi·haosiduofu(Felix Hausdorff)tichuliaoweidudeyizhongdingyi。jishinianhou,renmenyishidaozheyidingyiduiyuxiandaishuxueshibixude。youyizhongfangfakeyibangzhuwomenzhiguandilijieqidingyi:ruguobayigedweidewutijunyundifangdaweiyuanlaidekbei,namezhegewutidedaxiaojiuhuibianweiyuanlaidekdbei。liru,ruguowomenbayitiaoxianduan、yigezhengfangxingheyigelifangtifangdaweiyuanlaide3bei,namediandedaxiaobuhuigaibian(30=1),erxianduanchangdu、zhengfangxingdedaxiaohelifangtidedaxiaofenbiebianweiyuanlaide3、9he27bei。jiangbutongweidudewutijinxingsuofang。genjuhaosiduofudedingyi,womenhuidedaoyigeyiwaidejieguo:wutideweidukeyibushizhengshu。jishinianhou,zheqiaqiaweibeinuwa·B.mandeerbuluo(Benoit B. Mandelbrot)dewentigeichuliaodaan。dangshi,mandeerbuluozhengsikaodabuliediandaodehaianxianyouduochang。haianxiankenenghuixiangdangcanchabuqi,wufayongchizijingquediceliangqichangdu——chiziyueduan,celiangyuejingque,dantongshiceliangdegongchengyehuiyuehaoda。mandeerbuluorenwei,haosiduofudeweidudingyitigongliaoyizhonglianghuahaianxian“cucaodu”(jaggedness)defangfa。1975nian,tazaochuliao“fenxing”(fractal)zhegeshuyulaimiaoshuzheleifuzadewuqiongtuxing。celiangchudedabuliediandaohaianxianchangduqujueyuchizidechangduan。womenkeyiyikehequxian(Koch curve)weili,lailijiefeizhengshuweidukenengshishimeyangde。kehequxianshiyongdiedaidefangfashengchengde。qichuwomenyouyitiaoxianduan;meiyibu,womenyaobameitiaoxianduandezhongjian1/3qudiao,yong2tiaohequdiaodexianduanchangduxiangtongdexianduanlaidaiti。zhongfuzheyiguochengwuqiongduoci,jiudedaoliaokehequxian。ruguojiangquxianfangda,nihuifaxiantabaohan4gebufen,meigebufenduhezhengtiaoquxian(xingzhuang)xiangtong,dandaxiaozhiyouhouzhede1/3。suoyi,ruguobaquxianfangdaweiyuanlaide3bei,womenjiudedaoliao4tiaoheyuanquxianxiangtongdequxian。yinerzhetiaoquxiandehaosiduofuweidudmanzu3d=4,suoyid=log34≈1.26。zhetiaoquxianbunengxiangpiyanuodequxiannayangtianmanzhenggekongjian,suoyitabusuanshi2weide,danyoubiyitiaodanchunde1weidexianyaofuza。kehequxiandeshengchengguocheng。3weizhiwaikenengyoudeduzhehuiyihuo:“nandaodi4weibushishijianma?”1895nian,hebote·weiersi(H.G. Wells)fabiaoliaoxiaoshuo《shijianjiqi》(The Time Machine)。zhengruxiaoshuozhongdefamingjiasuoshuo,“chuliaowomendeyishiyanzhuoshijianliudongyiwai,shijianhe3weikongjianderenyigeweidubingwuqubie。”1919nianfashengdeyichangrishi,shikexuejiamendeyiquerenaiyinsitandeguangyixiangduilun,yeyinzhengliaoheerman·zuokefusiji(Hermann Minkowski)deyuce:“congciyihou,dulidekongjianhedulideshijianzhudingjiangbufucunzai,zhiyoumouzhongjiangerzhejiehedexingshikeyijiangdulidexianshibaocunxialai。”rujin,shuxuejiaheqitalingyudeyanjiuzhe,changchangjinxingwomenshuxide3weikongjianyiwaideyanjiu。youshizhexieyanjiuhuishejiewaidewuliweidu(ruxianlunjiuxuyaozhexieweidu),dangengduodeshihou,womenhuijinxingchouxiangdegongzuo,buhuigouxiangzhenshidekongjian。jihexuedeyanjiukenengshejigaoweikongjian,erwuli、shengwu、gongcheng、jinronghetuxiangchulidenglingyuyoushihuiyanjiufenxing,xuyaoyongdaofeizhengshuweidu。xingyundeshi,yaoxiangxiangshouweidudelequ,bingbuxuyaoduitayouchongfendelijie——zheyidian,niaoerheshuxuejiamenduyiyang。neironglaiyuan:huanqiukexuebutongwuzhong“qiangyizi”,shengwuduoyangxingjianghequhecong?|《ziran》changwenzaidubo“neijuan”deshidai,ruherangzijishunlibiye?yigeboshidexueleiqiuzhilu:xiangruzhigaoxiao?qingyiwoweijianbikengtebieshengming:benwenfabujinjinchuyuchuanboxinxixuyao,bingbudaibiaobengongzhonghaoguandian,qinshan;ruqitameiti、wangzhanhuogerencongbengongzhonghaozhuanzaishiyong,qingxiangyuanzuozheshenqing,bingzifubanquandengfalvzeren。raner,youyumuqianbaomaweiliaojinyibutishengX5dexiaoliang,congerkeyouxiaoyadaobenchiGLEhebaoshijiekayan,yijiaodiQ7heleikesasiRXdecheliang,yinci,ruodajiashiquankuanqugoumaiX5dezhegechexing,name4Sdiangeidaodeyouhuidagaishi4.50wanyuan,yejiushishuojianquyouhuihoucheliangdeluocheshi60.00wanyuan,ranerxuyaozhuyideshi,xiaofeizhemenhuanjiangxuyaozhunbeiduoda54967yuandefeiyong,qizhongbaokuoyoushangpaijiaoqiangxiangouzhishuichechuanshui,
我(奥辞)说(厂丑耻辞)半(叠补苍)辈(叠别颈)子(窜颈)都(顿耻)过(骋耻辞)去(蚕耻)了(尝颈补辞),我(奥辞)们(惭别苍)不(叠耻)都(顿耻)过(骋耻辞)得(顿别)挺(罢颈苍驳)好(贬补辞)吗(惭补)?
箩颈苍苍颈补苍蝉丑耻辩颈,蹿补苍驳迟别诲补锄补辞驳耻辞肠丑补辞办耻补苍驳丑耻补苍箩颈别。产耻蝉丑颈迟补蝉丑别苍测别产补辞锄丑耻辞丑补颈锄颈辩耻测颈测耻补苍诲补锄丑别苍,箩颈耻蝉丑颈迟补锄补颈箩颈苍驳迟辞耻尘颈补苍辩颈补苍迟颈诲补辞丑补颈锄颈诲别蝉丑别苍驳丑耻辞虫颈补苍锄丑耻补苍驳丑别虫耻别虫颈锄丑耻补苍驳迟补颈。
颈辫丑辞苍别13为(奥别颈)什(厂丑颈)么(惭别)那(狈补)么(惭别)受(厂丑辞耻)欢(贬耻补苍)迎(驰颈苍驳)呢(狈别)
真是万万没想到,娜姐居然会大大方方地在网络社交媒体上表达意见!值周邹家一家人回到了家中,开始商量孩子手术的事情。《维尔·达斯:异乡游子》电影在线观看- 全集剧情片...
就在这时张亮放下筷子冷冷地说:嫂子你说钱都花在正途上可是我们怎么知道这些账单是不是真的