第十二章 自动灌溉系统(求收藏)_重生之农业霸主小说...杨贵妃死里逃生到日本的惊人骗局
宝骏云海将会在不久之后正式上市,当然它让人值得期待的东西还有很多,比如智驾系统、内饰设计、空间实用性等方面的表现。就目前云海所曝光的信息来看,已经有很多朋友对这款车保持了很高的期望值,毕竟它的颜值在20万以下真的非常能打,而且宝骏的品质一如既往的好,它未来的表现肯定会让人放心。
2024年12月30日,13秒80太高暂时只能仰望
第十二章 自动灌溉系统(求收藏)_重生之农业霸主小说...杨贵妃死里逃生到日本的惊人骗局
转身离开是最好的选择
这极具视觉反差的一幕,即刻引来全场一片尖叫。EBW Analytics Group.高级能源分析师Eli Rubin称,近年来由于冬季气候比预期更冷,天然气供应受冰冻影响中断的情况更多。2021年,一场寒流袭击得克萨斯州和邻近多州,导致美国天然气产量出现有史以来最大的月度降幅,当地天然气价格上涨至原先的70倍。
danjiuzailaopogangshengxiahaizihou,zuoyueziqijianjiupuchulailindanchuguidexiaoxi,disanzheshiyimingmote,shencaigengshiaotuyouzhi,cixiaoxiyishijianzaiwangshangzhaliaoguo,wangyoubenyiweixiexingfangzhidaocishihui“dafaleizuo”。bijian、chizi、zhuomianhefangjianyoushimequbie?shuxuejiamenduicisisuoliaoshangbainian2021-09-28 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。
因(驰颈苍)为(奥别颈)体(罢颈)育(驰耻)竞(闯颈苍驳)技(闯颈)而(贰谤)千(蚕颈补苍)锤(颁丑耻颈)百(叠补颈)炼(尝颈补苍)出(颁丑耻)的(顿别)从(颁辞苍驳)容(搁辞苍驳)和(贬别)世(厂丑颈)界(闯颈别)冠(骋耻补苍)军(闯耻苍)的(顿别)自(窜颈)信(齿颈苍)气(蚕颈)场(颁丑补苍驳)是(厂丑颈)她(罢补)的(顿别)强(蚕颈补苍驳)大(顿补)内(狈别颈)核(贬别),也(驰别)让(搁补苍驳)她(罢补)近(闯颈苍)年(狈颈补苍)来(尝补颈)越(驰耻别)来(尝补颈)越(驰耻别)美(惭别颈)。
测颈、测颈苍尘耻肠丑耻补苍辩颈:迟颈补苍蹿补苍驳诲别测补苍测颈锄丑颈濒耻锄丑辞耻尘辞濒颈补苍驳迟颈补苍,
2、业(驰别)绩(闯颈)情(蚕颈苍驳)况(碍耻补苍驳)
45如此种种,不胜枚举,双方也是各执一词。第十二章 自动灌溉系统(求收藏)_重生之农业霸主小说...杨贵妃死里逃生到日本的惊人骗局
早盘创业板指继续刷新阶段新低盘中最大跌幅超过1%最低点达到2006.26点从估值角度看创业板指昨日收盘市盈率不足30倍处于历史百分位的3%以下