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夁嫀儘僌墈棗儌乕僪

妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 廐嶳ZERO
墿怓偺僇乕僪偑6枃丄愒怓偺僇乕僪偑6枃丄惵怓偺僇乕僪偑6枃偁傞丅摨偠怓偺6枃偺僇乕僪偵偼丄偦傟偧傟1偐傜6傑偱偺悢帤偑彂偐傟偰偄傞丅 偙傟傜18枃偺僇乕僪偐傜懕偗偰5枃傪敳偒庢傝丄偙傟傜偺僇乕僪傪嵍偐傜暲傋傞丅
(3)5枃偺僇乕僪偺悢帤偺崌寁偑7偱偁傞弴楍偼
1傪3枃2傪2枃傪堦楍偵
1񑧉!=360捠傝

(4)5枃偺僇乕僪偺拞偺3枃偑摨偠悢帤偱巆傝偺2枃傕摨偠悢帤偱偁傞弴楍偼壗捠傝偱偒傞偐
(3)偱偼1傪3枃偺傕偺偵偟偰丄2傪2枃偺傕偺偵偟偰偄傑偡丅偪傚偆偳(3)偑(4)偑侾偮偺椺偱偁傞偲暘偐傞偺偱偡偑ゥB

6P2亊360=10800
6偮偺悢帤偐傜3枃偺傕偺偲2枃偺傕偺2偮傪庢傝弌偡弴斣傪峫偊偰慖傇丅
6偮偺悢帤偐傜嵟弶偵慖傫偩傕偺傪3枃偵偟偰師偵慖傫偩傕偺傪2枃偺傕偺偵偡傞丅
偲偁傞偺偱偡偑偙偙偑暘偐傝傑偣傫丅
傑偢 側偤乽俇偮偺悢帤偐傜乿側傫偱偟傚偆偐丠
墿丄惵丄愒偺僇乕僪傪慡晹崌傢偣傟偽侾俉枃偁傝傑偡偟丄
偟偐傕偦偺拞偵丄椺偊偽侾側傜
墿偺侾 惵偺侾 愒偺侾傕偁傞傢偗偱偡傛偹丠
杮摉偵傛偔傢偐傝傑偣傫丅
扤偐6俹2偵側傞棟桼傪嫵偊偰偔偩偝偄丅偍婅偄偟傑偡

No.11021 - 2010/07/29(Thu) 19:13:33

Re: 妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 儓僢僔乕
嵟弶偵1丄師偵2 傪慖傫偩偲偒丄1傪3枃丄2傪2枃偲寛傔傑偡丅
嵟弶偵4丄師偵3 傪慖傫偩偲偒丄4傪3枃丄3傪2枃偲寛傔傑偡丅
偡傞偲丄6偮偺悢帤偐傜丄2偮偺悢帤傪慖傫偱暲傋傞弴楍偲
悢帤偺慖傃曽偑堦抳偟傑偡丅
偪側傒偵丄
11122, 11133, 11144, 11155, 11166
22211, 22233, 22244, 22255, 22266
33311, 33322, 33344, 33355, 33366
44411, 44422, 44433, 44455, 44466
55511, 55522, 55533, 55544, 55566
66611, 66622, 66633, 66644, 66655
悢帤偺慖傃曽偼埲忋30(亖6俹2)捠傝偁傝傑偡丅
偦傟偧傟偺慖傃曽偵偮偄偰丄暲傋曽偼360捠傝偁傞偺偱丄
丂30亊360亖10800
偲側傝傑偡丅

No.11022 - 2010/07/29(Thu) 20:30:55

Re: 妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 廐嶳ZERO
偳偆傕偁傝偑偲偆偛偞偄傑偟偨両両両両両
No.11026 - 2010/07/29(Thu) 23:01:21
崅1 悢俙 / 傑偭偪傚

愒嬍係屄丄敀嬍俁屄丄惵嬍侾屄偑偁傞丅偙偺拞偐傜係屄傪庢偭偰嶌傞慻傒崌傢偣偍傛傃弴楍偺屄悢傪媮傔傛丅

慡慠傢偐傝傑偣傫両
嫵偊偰偔偩偝偄媰


No.11015 - 2010/07/29(Thu) 10:35:39

Re: 崅1 悢俙 / 傜偡偐傞
慻崌偣偼悢偊傞偺傒偱偡丅
惵嬍偑側偄偲偒
愒愒愒愒
愒愒愒敀
愒愒敀敀
愒敀敀敀
惵嬍偑偁傞偲偒
愒愒愒惵
愒愒愒惵
愒愒敀惵
愒敀敀惵
敀敀敀惵

弴楍偼忋婰偦傟偧傟偵偮偄偰壗捠傝偢偮偁傞偐傪峫偊傑偟傚偆丅

No.11019 - 2010/07/29(Thu) 13:18:19

Re: 崅1 悢俙 / 傑偭偪傚

偙傟傢悢偊傞偩偗側傫偱偡
偹両婥偯偒傑偣傫偱偟偨丅
挌擩偵偁傝偑偲偆偛偞偄傑
偡両


No.11023 - 2010/07/29(Thu) 21:22:19
愊暘偲峴楍偵偮偄偰乮悢?V俠乯 / 僴僆
幐楃偐傕偟傟傑偣傫偑2偮偺幙栤傪偝偣偰壓偝偄丅
(1)愊暘傪曌嫮偟偰偄傞搑拞偵丂儀乕僞娭悢偼m!n!偱妱傟丂偲嫵傢偭偨偺偱偡偑丂儀乕僞娭悢偲偼擛壗側傞傕偺側偺偱偟傚偆偐丠Im.n=佺(0乣1) x^m(1-x)^n dx(m亞0,n亞0)
偺栤戣偱尵傢傟偨偺偱偡偑丂仾偺幃偑儀乕僞娭悢偲尵傢傟傞傕偺側偺偱偟傚偆偐丠
懠偺儀乕僞娭悢傕偁傝傑偟偨傜嫵偊偰壓偝偄乮堦斒宍側偳乯

(2)僴儈儖僩儞働乕儕乕偺掕棟傪
丂C.H 偲愭惗偑棯偟偰巊偭偰偄偨偺偱偡偑偙偺條側彂偒曽偱傕帋尡偱偼尭揰偝傟側偄偱偟傚偆偐丠

埲忋2揰媂偟偔偍婅偄偟傑偡丅

No.11011 - 2010/07/29(Thu) 02:07:54
妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 廐嶳丂楇乮僛儘乯
恾偺傛偆偵値乮値亜亖俀乯杮偺暯峴慄偲丄偦傟傜偵捈峴偡傞値杮偺暯峴慄偑丄偦傟偧傟椉曈偲傕摨偠娫妘a(a>侽乯偱暲傫偱偄傞

乮侾乯忋婰偺傛偆側丄崌寁俀値杮偺捈慄偺偆偪係杮偱埻傑傟傞挿曽宍乮惓曽宍傪娷傓乯偼慡晹偱偄偔偮偁傞偐丅
乮俀乯摨條偵丄惓曽宍偼慡晹偱偄偔偮偁傞偐丅

夝愢
乮俀乯a=1偱偁傞偲偟偰傕堦斒惈傪幐傢側偄丅廲偺捈慄傪倶亖侾丄倶亖俀丄丒丒丒丒丒倶亖値偲偟丄墶偺捈慄傪倷亖侾丄倷亖俀丄丒丒丒丒
倷亖値偲偡傞惓曽宍偺堦曈偺挿偝傪倠乮侾亙亖倠亙亖値乕侾乯偲偡傞丅廲偺俀曈偑忔偭偰偄傞俀杮偺捈慄偺慻偼倶亖侾偲倶亖倠亄侾丄
倶亖俀偲倶亖倠亄俀丒丒丒丒丄倶亖値乕倠偲倶亖値偺値乕倠捠傝偁傞丅摨條偵墶偺俀曈偑偺偭偐偰偄傞俀杮偺捈慄偺慻傕値乕倠捠傝偁傝丄
堦曈偺挿偝偑倠偺惓曽宍偼乮値乕倠乯丱俀捠傝偁傝丄惓曽宍偼慡晹偱
n-1
儼(n-k)^2=(n-1)^2+(n-2)^2+丒丒丒丒丒+2^2+1^2丒丒丒?@
k=1 =1/6n(n-1)(2n-1)(屄乯
偁傞丅?@偼乮n-k)^2偺倠偵丄1,2丒丒丒丒丒丒丄n-1傪戙擖偟偨寢壥偱偁傞丅

嫵偊偰傎偟偄偲偙傠
?@側偤惓曽宍偺侾曈偺挿偝倠偺斖埻偑乮侾亙亖倠亙亖値乕侾乯側傫偱偟傚偆偐丠
偦傟偲n-k捠傝偁傞偲偄偆偺偼
亂x=1亃偲x=k+1 亂x=2亃偲x=k+2 丒丒丒丒丒丒亂x=n-k亃偲x=n
偺亂亃偺晹暘偩偗傪傒偰
n-k-1+1=n-k乮捠傝乯偲偄偆偙偲偱偟傚偆偐丠
惓捈傛偔棟夝偱偒偰偄傑偣傫丅
夋憸傕暆k偺偲偙傠偑側傫偱夋憸偺傛偆偵側偭偰傞偺偐傢偐傝傑偣傫偱偟偨丅
扤偐暘偐傞曽嫵偊偰偔偩偝偄丅偍偹偑偄偟傑偡

No.11010 - 2010/07/29(Thu) 00:29:24

Re: 妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 儓僢僔乕
揷丂偺帤傪巚偄晜偐傋傞偲丄
慄偼廲墶俁杮偢偮偱偡偑丄挿曽宍偺暆偼嵟戝俀傑偱偱偡丅
傛偭偰丄慄偑値杮側傜丄挿曽宍偺暆偼嵟戝n-1傑偱偱偡丅

悢偊曽偼亂亃偺晹暘偩偗尒偰偲偄偆棟夝偱椙偄偱偡丅

夋憸偼丄値亖俈偺偲偒偵丄倠亖俁偺惓曽宍傪侾偮嶌偭偨堦椺偱偡偹丅
恾偺壓偺曽偵丄墌屖偑係偮偁傞傛偆偵丄暆俁偺愗傝弌偟曽偼
侾乣係丄俀乣俆丄俁乣俇丆係乣俈丂偺係捠傝偱偡丅

No.11013 - 2010/07/29(Thu) 05:21:06

Re: 妋棪偺栤戣偱偡丂崅峑俀擭偣偄偱偡両 / 廐嶳ZERO
暘偐傝傑偟偨両偁傝偑偲偆偛偞偄傑偡(*丩冎丮*)
No.11020 - 2010/07/29(Thu) 19:13:10
(No Subject) / 僀儞僟僗
廃攇悢椞堟偺僨乕僞偺媡DFT偵娭偡傞栤戣偱偡丅

X(k)={併3, 併3/2-j*1/2, 併3/2+j*1/2} (k=0,1,2)
傪媡DFT偵傛傝幚椞堟傊曄姺偟偨寢壥偺撪丄
x(1)傪媮傔傛丅偨偩偟丄j=併-1

x(k)=1/併N*儼_[n=0,N-1] X(n)W^-kn 傛傝丄

=1/併3*儼_[n=0,2] X(n)W^-kn

傑偨丄W^-kn偼僆僀儔乕偺岞幃傛傝丄
=e^(j*2兾/N*kn)=cos(2兾/N*kn)+jsin(2兾/N*kn)
=e^(j*2兾/3*kn)=cos(2兾/3*kn)+jsin(2兾/3*kn)

X(1) = 併3/2-j*1/2 傛傝丄

W^{-(併3/2-j*1/2)*0}=cos(0)+jsin(0)=1+0=1
偙偺偁偲丄n=2傑偱傗偭偰慡晹懌偣偽偄偄偺偱偡偑丄
cos偲sin偺拞恎偑偛偪傖偛偪傖偵側偭偰偦傟傪偳偆傗偭偰寁嶼偡傟偽偄偄偺偐擸傫偱偄傑偡丅

傛傠偟偔偍婅偄偟傑偡丅

No.11009 - 2010/07/28(Wed) 20:37:53
(No Subject) / 偦傜傉乕
師偺旝暘曽掱幃傪掕悢曄壔朄傪梡偄偰夝偗丗
(dx/dt)+tx=t^2+1
偲尵偆栤戣偱
摨師曽掱幃偺夝倶亖Cexp(-t^2/2)

偦傟偐傜俠(x)=佺乮t^2+1)exp(t^2/2)
傑偱傕偭偰偄偗偨偺偱偡偑丄偙傟偺愊暘偺巇曽偑傢偐傝傑偣傫丅晹暘愊暘傕弌棃側偄偟丒丒丒
堦懱偳偙偑埆偄傫偱偟傚偆偐丠嫵偊偰偔偩偝偄亜亙

No.11008 - 2010/07/28(Wed) 18:56:42

Re: / 偦傜傉乕
側傜偽幙栤偺巇曽傪曄偊傑偡丅俠(x)=佺乮t^2+1)exp(t^2/2)dt偺傗傝曽傪嫵偊偰偔偩偝偄
No.11043 - 2010/07/31(Sat) 12:50:59

Re: / phaos
榓傪暘偗偰, 屻敿偩偗晹暘愊暘偡傞偲弌棃傑偡丅
佺乮t^2+1)exp(t^2/2)dt
= 佺t^2 exp(t^2/2)dt + 佺exp(t^2/2)dt
= 佺t^2 exp(t^2/2)dt + t exp(t^2/2) - 佺t丒t exp(t^2/2)dt
= t exp(t^2/2) + C.

No.11046 - 2010/07/31(Sat) 17:01:18
崅1 悢俙 / 傑偭偪傚

1偐傜30傑偱偺惍悢偐傜堎側傞3屄傪慖傫偱慻傪嶌傞偲偒3屄偺悢偺愊偑4偺攞悢偲側傞慻傢壗捠傝偁傞偐


巹傢丄
(a)俁屄慡晹偑嬼悢偺偲偒
(b)俀屄偑嬼悢偺偲偒
(c)侾屄偑係偺攞悢偱偁偲偺
俀屄偑婏悢偺偲偒

偵暘偗偰峫偊偨傜丄
455+1575+105=2135捠傝偵
側偭偨偺偱偡偑丄
惓夝傢2765捠傝偱偟偨(儹凞剙)

嫵偊偰偔偩偝偄(偮冎丟)

No.11005 - 2010/07/28(Wed) 10:56:00

Re: 崅1 悢俙 / 傜偡偐傞
(c)偱係偺攞悢偺屄悢傪妡偗傞偺傪朰傟偰偄傑偡丅
No.11006 - 2010/07/28(Wed) 11:50:21

Re: 崅1 悢俙 / 傑偭偪傚

壗搙傕偛傔傫側偝偄

偳偆偟偰係偺攞悢偺
屄悢傪偐偗傞偺偱偡
偐??

No.11014 - 2010/07/29(Thu) 09:21:51

Re: 崅1 悢俙 / 傜偡偐傞
椺偊偽慖傫偩婏悢偑1偲3偺応崌偵
(1,3,4)(1,3,8)(1,3,12)(1,3,16)(1,3,20)(1,3,24)(1,3,28)
偺7捠傝偑偁傝傑偡偹丅

No.11017 - 2010/07/29(Thu) 12:42:29

Re: 崅1 悢俙 / 傑偭偪傚

偁傝偑偲偆偛偞偄傑偡両


No.11018 - 2010/07/29(Thu) 13:12:23
崅2悢妛俀 / 備偆偒傫偙傠
恾宍偲曽掱幃 崅2 暘偐傝傑偣傫

a傪惓偺幚悢偲偟丄2偮偺曻暔慄C1:y=x^2,C2:y=x^2-4ax+4a傪峫偊傞丅

(1) C1,C2偺椉曽偵愙偡傞捈慄l偺曽掱幃傪媮傔傛丅

乮1乯偑傢偐傝傑偣傫丅
帺暘偼傁偭偲尒
曻暔慄C1:y=x^2忋偺倶嵗昗傪倲偲偍偔偲偟偰
偡傞偲愙揰偺嵗昗偼乮倲丆倲丱2乯
孹偒傪倣偲偡傞偲愙慄偺曽掱幃偼
倷亅倲丱俀亖倣乮倶亅倲乯
倷亖倲丱俀亅倣倲+倣倶
偙傟偲墌俠俀偑愙偡傟偽傛偄偐傜丒丒丒偁傟偙偺屻偳偆偡傟偽偄偄傫偩偭偗丠乣丟乣丟
偭偰側忬懺偱偡丟
摎偊偼倷亖俀乮1-a乯x-乮1-a乯^2偱偡丅
扤偐暘偐傞曽偄傜偭偟傖偭偨傜嫵偊偰偔偩偝偄丅
偍偹偑偄偟傑偡丅

偁偲巹偺峫偊曽偼偳偙偑傑偪偑偭偰偄傞偺偱偟傚偆偐丠

No.11002 - 2010/07/28(Wed) 01:37:46

Re: 崅2悢妛俀 / rtz
亜愙揰偺嵗昗偼乮倲丆倲丱2乯
偲偟偨帪揰偱愙慄偺曽掱幃偼媮傑傝傑偡丅
亜孹偒傪倣偲偡傞
昁梫偼偁傝傑偣傫丅
晄昁梫偵暥帤傪憹傗偟偰崿棎偟偰偼尦傕巕傕柍偄偱偡偹丅

亜墌俠俀
C2偼墌偱偼側偔曻暔慄偲栤戣暥偵傕偁傝傑偡偑乧丅


偙偺傑傑懕偗傞側傜丄
C1偺(t,t2)偵偍偗傞愙慄偺曽掱幃傪媮傔傞
仺偦傟偑C2偲愙偡傞偺偱丄
2偮偺曽掱幃傪曈乆堷偄偨丄x偵娭偡傞2師曽掱幃偑廳夝傪帩偮偲偟偰塢乆
側偳丅

No.11003 - 2010/07/28(Wed) 01:59:24
悢妛偺晹壆 / 僊僐僄儖倶
悢妛偺晹壆偵傕宖嵹偟偨傕偺偱偡丅
x亐y偺抣側傫偱偡偑丄傢偐傞曽偑偄傜偭偟傖傟偽偍婅偄抳偟傑偡丅乮弌棃傟偽夝偒曽傕丒丒丒丒乯


No.10989 - 2010/07/27(Tue) 21:39:39

Re: 悢妛偺晹壆 / 傜偡偐傞
偁偪傜偱彂偄偨捠傝丄x偺崻崋偺拞偑晧偵側傝傑偡偐傜丄
栤戣晄旛偱偁偭偰抣偼媮傑傝傑偣傫傛丅

偨偩偟丄弌戣幰偑憐掕偟偰偄偨夝偼
x=99,y=11偱x/y=9偩偲巚偄傑偡丅

傕偟崻崋偺拞偺晧悢傪嫋偡応崌丄
x偺搑拞偵併(1+0*併乧)偲偄偆晹暘偑弌偰偒傑偡偺偱丄
偦傟埲崀偺抣傪偡傋偰柍帇偱偒傑偡丅
偦偆偡傞偲桳尷崁偲側偭偰
x/y=9.00000000000000000000000000001054492629807579903875乧
偲偄偆敿抂側抣偵側傝傑偡丅
偄偢傟偵偟偰傕弌戣幰偺堄恾偵偼斀偟偰偄傞偲巚偄傑偡丅

No.10990 - 2010/07/27(Tue) 21:41:24

Re: 悢妛偺晹壆 / 僊僐僄儖倶
栤戣晄旛側傫偱偡偹丒丒丒丅

偲偙傠偱偳偆偟偰y=11偵側傞偺偱偟傚偆偐丠
x=99埲慜偵偦偪傜偼惓偟偄傛偆偱偡偺偱惁偄婥偵側傝傑偡丅

嫵偊偰偔偩偝偄丅媂偟偔偍婅偄抳偟傑偡丅m(_ _)m

No.10991 - 2010/07/27(Tue) 21:42:11

Re: 悢妛偺晹壆 / 傜偡偐傞
偱偼奣棯偩偗丅
併(1+10)
併(1+10併(1+11))
併(1+10併(1+11併(1+12)))
併(1+10併(1+11併(1+12併(1+13))))
丒丒丒
偲偄偆悢楍傪峫偊傞偲丄偙傟偼憹壛悢楍偱偡丅
傕偟併(1+13)=14偩偲偟偨傜
併(1+10併(1+11併(1+12*14)))
=併(1+10併(1+11併(13^2)))
=併(1+10併(1+11*13))
=併(1+10併(12^2))
=併(1+10*12)
=併(11^2)
=11
偺傛偆偵側傝傑偡偑丄幚嵺偼併(1+13)亙14偱偡偐傜
乮堦斒揑偵偼併(1+n)亙n+1偱偡偐傜乯
偙偺悢楍偺擟堄偺崁偼11枹枮偱偡丅
偟偐偟傕偟偙偺悢楍偺嬌尷抣偑11傛傝彫偝偄抣偩偲偡傞偲丄
乮嵶偐偄愢柧偼徣棯偟傑偡偑乯
媡弴偵寁嶼偟偰偄偭偨帪偵偄偮偐晧偺抣偵側傝柕弬偟傑偡丅
傛偭偰嬌尷抣偼11偲傢偐傝傑偡丅

No.10993 - 2010/07/27(Tue) 21:44:12

Re: 悢妛偺晹壆 / 僊僐僄儖倶
婱廳側偛夝摎桳擄偆屼嵗偄傑偡両
傗偼傝旈枾偑夝偗傟偽夝偗傞掱丄婥偵側傞栤戣偱偡偹丒丒丒
悢楍偺擟堄偺崁偑11枹枮偲偄偆偲偙傠偼棟夝弌棃傑偟偨丅

亜媡弴偵寁嶼偟偰偄偭偨帪偵偄偮偐晧偺抣偵側傝柕弬偟傑偡丅
偙偙偺晹暘傪傕偆偪傚偭偲徻偟偔愢柧偟偰捀偗側偄偱偟傚偆偐丠
偦偆偄偊偽1亄2亄3亄4亄5丒丒丒丒丒丒偲柍尷偵懌偟偰偄偗偽摎偊偼儅僀僫僗偺抣偵側傞偲暦偄偨偙偲偑偁傝傑偡偑丄偙傟偼慡偔棟夝弌棃傑偣傫偱偟偨丅徣棯偝傟偨晹暘偼偙傟偲帡偨傛偆側姶偠偱偟傚偆偐丠

偦傟偐傜栤戣晄旛偲傢偐偭偨埲忋偼x偵偮偄偰偼峫偊側偄帠偵偟傑偡両

No.10994 - 2010/07/27(Tue) 21:44:48

Re: 悢妛偺晹壆 / 傜偡偐傞
傕偟嬌尷偑11偩偲偡傞偲
11=併(1+10併(1+11併(1+12併乧
121=1+10併(1+11併(1+12併乧
120=10併(1+11併(1+12併乧
12=併(1+11併(1+12併乧
144=1+11併(1+12併乧
143=11併(1+12併乧
13=併(1+12併乧
偺傛偆偵側傝塱媣偵柕弬偑惗偠傑偣傫丅
傕偟嬌尷偑11傛傝彮偟彫偝偄10.9偩偭偨偲偡傞偲
10.9=併(1+10併(1+11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
118.81=1+10併(1+11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
117.81=10併(1+11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
11.781=併(1+11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
138.791961=1+11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
137.791961=11併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
12.5265乧=併(1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
156.9142乧=1+12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
155.9142乧=12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
155.9142乧=12併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
12.9928乧=併(1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
168.8142乧=1+13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
167.8142乧=13併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
12.9087乧=併(1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
166.6368乧=1+14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
165.6368乧=14併(1+15併(1+16併(1+17併(1+18併(1+19併乧
11.8312乧=併(1+15併(1+16併(1+17併(1+18併(1+19併乧
139.9773乧=1+15併(1+16併(1+17併(1+18併(1+19併乧
138.9773乧=15併(1+16併(1+17併(1+18併(1+19併乧
9.2651乧=併(1+16併(1+17併(1+18併(1+19併乧
85.8431乧=1+16併(1+17併(1+18併(1+19併乧
84.8431乧=16併(1+17併(1+18併(1+19併乧
5.3026乧=併(1+17併(1+18併(1+19併乧
28.1185乧=1+17併(1+18併(1+19併乧
27.1185乧=17併(1+18併(1+19併乧
1.5952乧=併(1+18併(1+19併乧
2.5447乧=1+18併(1+19併乧
傕偆彮偟懕偗傞偲嵍曈偼晧偵側傝傑偡偑丄懕偗側偔偰傕
偙偺帪揰偱塃曈亜19偱側偗傟偽側傜側偄偺偱惓偟偔側偄偙偲偑傢偐傝傑偡丅
尩枾側徹柧偼丄嬌尷抣傪乽11傛傝彮偟彫偝偄抣乿偲偍偔偲
忋婰偺寁嶼偵傛傝嵍曈偑偄偢傟晧偵側傞偙偲傪帵偣偽椙偄偲巚偄傑偡丅

No.10995 - 2010/07/27(Tue) 21:45:55

Re: 悢妛偺晹壆 / 僊僐僄儖倶
桭恖偑壗偐娙扨側掕棟偑偁傞偲尵偭偰偄偨偺偱偡偑偦偺傛偆側傕偺偼偁傝傑偡偱偟傚偆偐丠

偪側傒偵偛夝摎偼惁偔桳擄偄偲摨帪偵彮偟婥偺撆側傫偱偡偑丄傗偼傝偙偙傑偱偔傞偲棟夝偱偒傑偣傫丅丅丅
偦傕偦傕嬌尷偲偼壗偐偝偭傁傝丅丅丅

No.10996 - 2010/07/27(Tue) 21:46:46

Re: 悢妛偺晹壆 / 傜偡偐傞
掕棟偼懚偠傑偣傫丅
偙偺栤戣帺懱乽嬌尷乿傪埖偭偰偄傑偡偐傜丄
乽嬌尷乿偑傢偐傜側偄偲棟夝偼擄偟偄偲巚偄傑偡丅

No.10997 - 2010/07/27(Tue) 21:47:28

Re: 悢妛偺晹壆 / 僊僐僄儖倶
傗偼傝傕偆1搙桭恖偵楢棈偟偰傒偨偺偱偡偑丄拞妛惗儗儀儖偺抦幆偱傕偙偺栤戣偑夝寛偱偒傞掕棟偑懚嵼偡傞傛偆偱偡丅丅丅
崱偼嫵偊偰偔傟側偄傫偱偡偑丄偟偽傜偔偡傞偲暦偗傞偐傕偟傟傑偣傫丅偦偺帪偼偙偺宖帵斅偵彂偒崬傕偆偲巚偄傑偡偑丄丄丄丄丄丄
壗偐偁傝傑偡偐偹乕丒丒丒丠

No.10998 - 2010/07/27(Tue) 21:48:16

僊僐僄儖倶 / yuuki
x=併(1亄10併(1亄11併(1亄12併......)))
x^2=1亄10併(1亄11併(1亄12併......))
(x^2-1)/10=併(1亄11併(1亄12併......))亙12

(x^2-1)/10亙12
x^2-121亙0
-11亙x亙11

11=併(1亄10併(1亄11併(1亄12併......)))柕弬偑惗偠側偄
-11=併(1亄10併(1亄11併(1亄12併......)))柕弬偑惗偠側偄
-11亙x亙11=併(1亄10併(1亄11併(1亄12併......)))柕弬偡傞丠

x偺曄堟偑-11亙x亙11側偺偵11偲-11偑柕弬偟側偄偺偑晄巚媍偱偡丒丒丒丒丒
摎偊偼-11偱偼側偔11偩偦偆偱丄傜偡偐傞偝傫偺偱崌偭偰傑偟偨丅偳偆傕桳擄偆屼嵗偄傑偟偨丅

婰帠偼徚偟偰偟傑偄傑偟偨丒丒丒丒丒丅乮偡傒傑偣傫乯

No.10999 - 2010/07/27(Tue) 21:49:37

Re: 悢妛偺晹壆 / 傜偡偐傞
亜x偺曄堟偑-11亙x亙11側偺偵
堘偄傑偡丅嵟弶偺幃偱 x=併(1+乧 偲側偭偰偄傑偡偐傜丄
偁傝摼傞偺偼x亜0偺傒偱偡丅

No.11000 - 2010/07/28(Wed) 00:35:49
懡崁幃偺栤戣偱偡 / 堦庽
(1)x^2+x=1偺偲偒x^5-5x偺抣傪媮傔傛丅
(2)x=1+併7偺偲偒丄x^4+2x^3-12x^2-26x-14偺抣傪媮傔傛丅
偲偄偆栤戣偱
栤戣廤偵偼巜恓偲偟偰亀懡崁幃偺抣亁偼
乽妱傝嶼偺峆摍幃傪棙梡乿傗乽忦審幃傪梡偄師悢傪壓偘傞乿偲彂偄偰偁傞傫偱偡偑
偙偺栤戣偵偳偆墳梡偟偰偄偔偺偐尒摉偑晅偒傑偣傫
(1)偼x^2=x-1傪棙梡偟偰抧摴偵師悢傪壓偘偰丄(2)偼僈僠僈僠偺寁嶼偟偐巚偄偮偐側偄偺偱偡偑
壗偐偆傑偄媮傔曽偑偁傞偺偱偟傚偆偐丠

No.10987 - 2010/07/27(Tue) 19:50:13

Re: 懡崁幃偺栤戣偱偡 / 傜偡偐傞
(1)
x^2=1-x 偐傜 x^4=(1-x)^2=1-2x+x^2=1-2x+(1-x)=2-3x 側偺偱
x^5-5x=(2-3x)x-5x=-3x^2-3x=-3(x^2+x)=-3

(2)
x=1+併7 偐傜 x-1=併7 側偺偱 (x-1)^2=7 偡側傢偪 x^2-2x-6=0
偁偲偼 x^2=2x+6 偱師悢傪壓偘偰
x^4+2x^3-12x^2-26x-14
=(2x+6)^2+2x(2x+6)-12x^2-26x-14
=-4x^2+10x+22
=-4(2x+6)+10x+22
=2x-2
=2(1+併7)-2
=2併7
偲偡傞偐丄偁傞偄偼懡崁幃偺妱傝嶼傪峴偭偰
x^4+2x^3-12x^2-26x-14
=(x^2-2x-6)(x^2+4x+2)+(2x-2)
=2x-2
=2併7
偲偡傞偐丅

No.10988 - 2010/07/27(Tue) 20:26:51

Re: 懡崁幃偺栤戣偱偡 / 堦庽
側傞傎偳
乕乧
x=1+併7
偐傜偦傫側曄宍偑偱偒傞傫偱偡偹
徻偟偄愢柧偁傝偑偲偆偛偞偄傑偟偨

No.11007 - 2010/07/28(Wed) 12:36:50
(No Subject) / anly
恑尋柾帋偺悢?T偱偡丅

-1<2x-3亝7丒丒丒?@
乮2x-a+5乯/3亝a+乮5/3乯丒丒丒?A
乮5x+6乯/3>乮3x+a乯/2+2丒丒丒?B
乮侾乯晄摍幃?@?A傪偦傟偧傟夝偗
乮俀乯晄摍幃?@?B傪偲傕偵枮偨偡倶偑懚嵼偟側偄偲偒丄a偺偲傝偆傞抣偺斖埻傪媮傔傛丅
乮俁乯晄摍幃?@?A傪偲傕偵枮偨偡惍悢倶偺屄悢傪倣丄晄摍幃?@丄?B傪偲傕偵枮偨偡惍悢倶偺屄悢傪値偲偡傞丅
倣亖俀偺偲偒丄a偺偲傝偆傞抣偺斖埻傪媮傔傛丅傑偨丄倣亖値亖侾偺偲偒丄a偺偲傝偆傞抣偺斖埻傪媮傔傛丅

偙傟偺(俀)偑慡慠暘偐傝傑偣傫丅
暘偐傝傗偡偔嫵偊偰偔偩偝偄丅
偁偲(俁)傕傛偔傢偐傝傑偣傫偱偟偨丅丅

No.10986 - 2010/07/27(Tue) 18:01:55
崅1丂悢俙 / 傑偭偪傚

棫曽懱偺俇偮偺柺傪俇怓偱揾傝暘偗傞曽朄傢壗捠傝偁傞偐

6!偱720捠傝偩偲巚偭偰偨傜
摎偊傢30捠傝偱偟偨(丩_乀`)


嫵偊偰偔偩偝偄!

No.10984 - 2010/07/27(Tue) 09:45:02

Re: 崅1丂悢俙 / 傜偡偐傞
720捠傝偺拞偵偼岦偒傪曄偊傞偲摨偠怓偵側傞慻偑偨偔偝傫偁傝傑偡丅
堦偮偺揾傝暘偗曽偵懳偟偰丄乽偳偺柺傪忋偵偡傞偐乿(6捠傝)偲
乽懁柺偺岦偒偼偳偺岦偒偵偡傞偐乿(4捠傝)偑偁偭偰24攞偵側傝傑偡偺偱
720亐24=30捠傝偱偡丅

嵟傕億僺儏儔乕側曽朄偼丄堦偮偺怓傪屌掕偟偰斀懳懁偺怓傪慖傃(5捠傝)
巆傝偺懁柺傪墌弴楍((4-1)!=6捠傝)偱寛傔偰5亊6=30捠傝偲媮傔傑偡丅

No.10985 - 2010/07/27(Tue) 10:05:51

Re: 崅1丂悢俙 / 傑偭偪傚

傢偐傝傑偟偨乣両
墌弴楍偲帡偰傑偡偹両
偁傝偑偲偆偛偞偄傑偡^^

No.11004 - 2010/07/28(Wed) 10:26:30
崅2 / 備偆偒傫偙傠
0亝x亝兾/2丄0亝y亝兾/2 cosx+cosy=1偺偲偒
[1]x-y偺偲傝偆傞抣偺斖埻傪媮傔傛丅
夝摎偵偼
0亝x亝兾/2偺斖埻偱丄cosx偼扨挷尭彮仺cosy偼扨挷憹壛仺y偼扨挷尭彮仺x-y偼扨挷憹壛
傛偭偰-兾/2亝x-y亝兾/2
偲偁傞偺偱偡偑

傑偢cosx+cosy=1傪
cosx=1-cosy偵曄宍偟傑偡丅
cosy偑憹壛偡傞偲cosx偼尭彮偟傑偡丅
側偺偱
亂cosx偼扨挷尭彮仺cosy偼扨挷憹壛亃偼暘偐傞偺偱偡偑
亂仺y偼扨挷尭彮仺x-y偼扨挷憹壛亃偺堄枴偑傢偐傝傑偣傫丅
扤偐暘偐傞曽嫵偊偰偔偩偝偄丅偍偹偑偄偟傑偡丅

No.10979 - 2010/07/26(Mon) 23:50:09

Re: 崅2 / 儓僢僔乕
0亝y亝兾/2 偺斖埻偱丄
cos倷 偑丄偳傫偳傫戝偒偔側傞偙偲偲丄倷偑偳傫偳傫彫偝偔側傞偙偲偼
堦抳偟傑偡偹丠

偝傜偵丄亅倷傪峫偊傞偲丄亅倷偼扨挷憹壛偱偡丅
倶偑偳傫偳傫憹偊傞偵偮傟偰丄亅倷偑偳傫偳傫憹偊傞側傜丄
椉幰傪懌偟偨丂倶亅倷 傕丄偳傫偳傫憹偊傞偙偲偱偟傚偆丅

傛偭偰丄倶亅倷 偼丄
倶偑嵟彫偺帪嵟彫偱丄倶偑嵟戝偺帪嵟戝偲側傝傑偡丅

No.10980 - 2010/07/27(Tue) 00:06:19

Re: 崅2 / 備偆偒傫偙傠
夞摎偁傝偑偲偆偛偞偄傑偡丅
偱偡偑傑偩傢偐傜側偄偲偙傠偑丟
巹偼傑偢
y=cosx偲偟偰僌儔僼傪彂偄偰傒傑偟偨丅
崱x偵偼侽亝x亝兾/俀偲偄偆忦審偑偁傞偺偱
偙偺侽乣兾/2偺娫偱偼
僌儔僼偼扨挷尭彮偵側偭偰偄傑偡傛偹丅
偦偟偰偙偺僌儔僼偑扨挷尭彮偟偰偄傞偺偱x偼憹壛偟偰偄傑偡丅
偙傟傪y=cosy偲偟偰傕幉偺愝掕偑曄傢傞偩偗偱摨偠傛偆偵巚偊傞偺偱偡偑偙傟偼堦懱偳偆偄偆偙偲側傫偱偟傚偆偐(乣乣丟)
偁偲
亂 0亝y亝兾/2 偺斖埻偱丄
cos倷 偑丄偳傫偳傫戝偒偔側傞偙偲偲丄倷偑偳傫偳傫彫偝偔側傞偙偲偼
堦抳偟傑偡偹丠 亃
偡傒傑偣傫丅摢偑偐側傝庛偄偺偱椙偔棟夝偱偒傑偣傫丅
0乣兾/2偺斖埻偱偼cosy偑憹偊傞偙偲偼偁傞乮丠乯偺偱偟傚偆偑
僌儔僼偵彂偄偰傒偰傕偦傟偑偆傑偔偮偐傔傑偣傫丅

嵟弶偵彂偄偨傛偆偵
cosx+cosy亖1
傪曄宍偟偰cosx=1-cosy
cosy偑椺偊偽10偲偐11偲偐揔摉偵寛傔偨偲偟偰
偙傟傪偳傫偳傫傆傗偟偰偄偔偲
cosx偼摉慠尭彮偡傞偟cosy偼憹壛偟傑偡丅
偩偐傜
cosx偼扨挷尭彮偡傞偺側傜cosy偼扨挷憹壛偲偄偆偺偼側傫偲側偔棟夝偱偒傞偺偱偡偑
偦偺偁偲偺y偼扨挷尭彮偲偄偆偺偑傗偼傝暘偐傝傑偣傫丅
偦傕偦傕cosx偲cosy偲偄偆偺偼僌儔僼揑偵偼摨偠偠傖側偄傫偱偡偐丠
夝摎偺懕偒偵偼
乽x=0偺偲偒y=兾/2丂偱x-y=-兾/2
x=兾/2偺偲偒y=0偱x-y亖兾/2傛偭偰丂摎偊乿
偲偁傞偺偱偡偑
x=0偺偲偒
cosx+cosy=1傛傝
cos0+cosy=1
cosy=1偲側偭偰偙偺偁偲偑傢偐傝傑偣傫
偨傇傫偼側偭偐傜傑偪偑偭偰偄傞偲偍傕偄傑偡丅
挿偔側傝傑偟偨偑丄偙偺媈栤偵懳偡傞偍摎偊偺曽傛傠偟偔偍偹偑偄偄偨偟傑偡m_m

No.10982 - 2010/07/27(Tue) 00:33:03

Re: 崅2 / 儓僢僔乕
>y=cosx偲偟偰僌儔僼傪彂偄偰傒傑偟偨丅
偲偍偔偲丄
丂cosx+cosy=1
偺倷偲崿摨偡傞偺偱丄
丂u=cos倶
丂v=cos倷
丂倳亄倴亖侾
偲偍偔偺偑椙偄偱偟傚偆丅

偨偲偊偽丄倶亖侽偺偲偒
丂倳亖cos侽亖侾
側偺偱丄
丂倴亖侾亅倳亖侽
倴亖侽 偲側傞倷偼兾/2 偱偡丅
倶偑侽傛傝彮偟戝偒偔側傞偲丄倳偼侾傛傝彮偟彫偝偔側傝傑偡丅
偦傟偵偮傟偰丄倴偼侽傛傝彮偟戝偒偔側傝丄倷偼兾/2 傛傝彮偟彫偝偔側傝傑偡丅

偙傟偑丄倶傪侽偐傜兾/2 傑偱憹傗偡偲偒丄帄傞強偱婲偙傝傑偡丅
偮傑傝丄倶傪憹傗偡偲丄倳偼昁偢尭偭偰偄偒丄倴偼昁偢憹偊偰偄偒丄倷偼昁偢尭偭偰偄偒傑偡丅

僌儔僼偱昞偡偲丄偨偲偊偽壓偺傛偆偵側傝傑偡丅

No.10983 - 2010/07/27(Tue) 06:43:42

Re: 崅2 / 備偆偒傫偙傠
恾傑偱偮偗偰偔偩偝傝偁傝偑偲偆偛偞偄傑偟偨両
No.11001 - 2010/07/28(Wed) 01:37:19
妋棪 / meta
敔偺拞偵俙偲彂偐傟偨僇乕僪丄俛偲彂偐傟偨僇乕僪丄俠偲彂偐傟偨僇乕僪偑偦傟偧傟係枃偢偮擖偭偰偄傞丅抝惈俇恖丄彈惈俇恖偑敔偺拞偐傜侾枃偢偮僇乕僪傪堷偔丅偨偩偟丄堷偄偨僇乕僪偼栠偝側偄丅
乮1乯俙偲彂偐傟偨僇乕僪傪係枃偲傕抝惈偑堷偔妋棪傪媮傔傛丅
乮2乯俙丆俛丆俠偲彂偐傟偨僇乕僪偺偆偪丄彮側偔偲傕侾庬椶偺僇乕僪傪係枃偲傕抝惈傑偨偼係枃偲傕彈惈偑堷偔妋棪傪媮傔傛丅

妋棪偼偳偆傕嬯庤偱偡乧

暘曣偼12両/4両*4!*4!=51975偲偐偱偡偐丠
乮2乯偼梋帠徾偭傐偄偱偡偑乧

偟偽傜偔妋棪傪傗偭偰偄側偐偭偨偺偱偐側傝濨枂偵側偭偰偄傑偡

峫偊曽傪嫵偊偰偔偩偝偄丅傛傠偟偔偍婅偄偟傑偡

No.10975 - 2010/07/26(Mon) 10:48:22

Re: 妋棪 / angel
(1)
偙偺栤戣偱偼丄慡偰偺僇乕僪偑梋傞偙偲側偔丄抝惈/彈惈偵峴偒搉傝傑偡丅側偺偱丄
丂12恖(抝惈6恖丒彈惈6恖)偑1枃偢偮僇乕僪傪堷偔
偱偼側偔丄
丂僇乕僪12枃偑丄1恖偢偮僷乕僩僫乕傪慖傇
偲峫偊傞偙偲偑偱偒傑偡丅

偦偺忋偱丄A偲彂偐傟偨僇乕僪偵丄偙偭偦傝 A1乣A4傑偱柤慜傪偮偗偰偁偘傞偲丄媮傔傞妋棪偼丄
乽A1乣A4偑慡偰抝惈傪僷乕僩僫乕偲偟偰慖傇妋棪乿偲尵偄姺偊傞偙偲偑偱偒傑偡丅

屻偼慻傒崌傢偣偱傕丄弴楍偱傕峴偗傑偡偑乧慻傒崌傢偣偱峫偊傞側傜丄
丂(妋棪)=(抝惈6恖偐傜4恖慖傇慖傃曽)/(12恖慡堳偐傜4恖慖傇慖傃曽)
偲偐丅

No.10977 - 2010/07/26(Mon) 22:29:41

Re: 妋棪 / angel
(2)
梋帠徾偱偼側偔丄
丂(P傑偨偼Q偱偁傞妋棪) = (P偱偁傞妋棪) + (Q偱偁傞妋棪) - (P偐偮Q偱偁傞妋棪)
偲偄偆傛偆側寁嶼偺偍榖丅僺儞偲棃側偄応崌偼丄儀儞恾傪昤偄偰傒傑偟傚偆丅廤崌偺偍榖偲摨偠偱偡丅

偝偰丄乽彮側偔偲傕乿偲偄偆昞尰偦偺傑傑偱偼敊慠偲偟偰偄傑偡偐傜丄偙偆惍棟偟傑偡丅
丂彮側偔偲傕1庬椶偺僇乕僪傪係枃偲傕抝惈傑偨偼彈惈偑堷偔
丂佁 ( A傪4枃偲傕抝惈偑堷偔 ) 傑偨偼 ( A傪4枃偲傕彈惈偑堷偔 )
丂丂傑偨偼 ( B傪4枃偲傕抝惈偑堷偔 ) 傑偨偼 ( B傪4枃偲傕彈惈偑堷偔 )
丂丂傑偨偼 ( C傪4枃偲傕抝惈偑堷偔 ) 傑偨偼 ( C傪4枃偲傕彈惈偑堷偔 )

乧乽傑偨偼乿偱6屄偺僷乕僩偑楢寢偟偰偄傞偺偱丄暘偐傝偵偔偄偐傕偟傟傑偣傫丅偪傚偭偲彮側偄椺偐傜峴偭偰傒傑偟傚偆丅

丂(X傑偨偼Y傑偨偼Z偱偁傞妋棪)
丂= (X傑偨偼(Y傑偨偼Z)偱偁傞妋棪)
丂= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - (X偐偮(Y傑偨偼Z)偱偁傞妋棪)
丂= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - ((X偐偮Y)傑偨偼(X偐偮Z)偱偁傞妋棪)

偪傚偭偲偙偙偱堦扷巭傔傑偡丅
崱夞丄抝惈傕彈惈傕6恖偟偐偄傑偣傫偐傜丄2庬椶埲忋偺僇乕僪傪抝惈/彈惈偺傒偱撈愯偡傞偙偲偼偱偒傑偣傫丅
偱偒傞偲偡傟偽丄抝惈偑A傪撈愯偐偮彈惈偑B傪撈愯偲偄偭偨傛偆側暋崌偺傒偱偡丅

偦偆偡傞偲丄忋偺X,Y,Z傪巊偭偨椺偱偄偔偲丄
丂X偐偮Y偐偮Z偼婲偙傜側偄丄偮傑傝 (X偐偮Y偐偮Z偲側傞妋棪)=0
偲偄偆偙偲偵側傝傑偡丅(X摍偵偼丄椺偊偽乽抝惈偑A傪撈愯偡傞乿摍傪偁偰偼傔偰偔偩偝偄)

側偺偱丄
丂(X傑偨偼Y傑偨偼Z偱偁傞妋棪)
丂= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - ((X偐偮Y)傑偨偼(X偐偮Z)偱偁傞妋棪)
丂= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - (X偐偮Y偱偁傞妋棪) - (X偐偮Z偱偁傞妋棪)
丂仸((X偐偮Y)偐偮(X偐偮Z)偱偁傞妋棪) = (X偐偮Y偐偮Z偱偁傞妋棪)=0
偲丄乽傑偨偼乿偺3楢寢傪2楢寢偵棊偲偟崬傓偙偲偑偱偒傑偡丅
摨偠挷巕偱丄乽傑偨偼乿偺6楢寢傪丄5,4,3,2 偲棊偲偟崬傔偽椙偄偱偡丅

偁偁丄1庬椶寁嶼偟側偗傟偽側傜側偄妋棪偑偁傝傑偡偺偱丄擮偺偨傔丅
乽A偲彂偐傟偨僇乕僪傪4枃偲傕抝惈偑堷偒丄偐偮丄B偲彂偐傟偨僇乕僪傪4枃偲傕彈惈偑堷偔妋棪乿偱偡丅偙傟偼(1)偲摨偠梫椞偱丄暿搑寁嶼偟偰偍偄偰壓偝偄丅

No.10978 - 2010/07/26(Mon) 22:51:25

Re: 妋棪 / meta
曉怣偑偐側傝抶傟偰偟傑偄傑偟偨丅怽偟栿偁傝傑偣傫丅

屻敿偱媈栤揰偑晜忋偟傑偟偨丅

(X傑偨偼Y傑偨偼Z偱偁傞妋棪)
= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - ((X偐偮Y)傑偨偼(X偐偮Z)偱偁傞妋棪)
= (X偱偁傞妋棪) + (Y傑偨偼Z偱偁傞妋棪) - (X偐偮Y偱偁傞妋棪) - (X偐偮Z偱偁傞妋棪)

偲偄偆晹暘偱偡丅

偙傟偭偰嵟弶偺曄宍偱偼丄乮X偐偮Y偐偮Z偱偁傞妋棪乯傪1夞偟偐堷偄偰偄側偄偺偵丄2搙栚偺曄宍偱偼2夞堷偄偰偄傞偙偲偵側傝傑偣傫偐丠

No.11168 - 2010/08/10(Tue) 12:41:05
log偺攚棟朄 / k
傗偭偰傒偰傕傢偐傜側偄偐傜丄
幙栤偝偣偰偄偨偩偄偨傢偗偱偡丅


偤傂嫵偊偰偔偩偝偄

No.10962 - 2010/07/25(Sun) 16:44:11

Re: log偺攚棟朄 / 僗乕僷乕僇僽
帺暘偱峫偊偰偳偙偱媗傑偭偨偺偐彂偒傑偟傚偆丅
扨偵嫵偊偰偠傖摎偊彂偔婥偵傕側傝傑偣傫丅

No.10967 - 2010/07/25(Sun) 20:28:41

Re: log偺攚棟朄 / 偺傏傝傫
捛壛幙栤偼丄尦僗儗僢僪偵彂偄偰壓偝偄丅

亜丂傗偭偰傒偰傕傢偐傜側偄偐傜丄
亜丂幙栤偝偣偰偄偨偩偄偨傢偗偱偡丅

偦偆奐偒捈偭偰偟傑偭偰偼丄愭偵恑傒傑偣傫傛丅 愭偢丄攚棟朄偱丄偲僸儞僩傪弌偟偨栿偱偡偐傜丄倢倧倗俈 傪桳棟悢偲偍偄偰傒傑偟傚偆丅 暥帤偱昞偟偨偄栿偱偡偑丄偳偆彂偒傑偡偐丠

No.10971 - 2010/07/26(Mon) 07:15:04

Re: log偺攚棟朄 / 僴僆
慡偔彑庤側偑傜夝偐偣偰捀偒傑偟偨丅
嶲峫掱搙偵偳偆偧丅

log(3)7偑桳棟悢偱偁傞偲壖掕偡傞丅
log(3)7= n/m 偲彂偗傞乮扐偟n,m偼屳偄偵慺乯
mlog(3)7=n
log(3)7^m=n
3^n=7^m-------仚
偙偙偱嵍曈偼3偺場悢偟偐帩偨側偄
塃曈偼7偺場悢偟偐帩偨側偄
偦偟偰3偲7偼屳偄偵慺偱偁傞偐傜
仚偼晄崌棟丅
傛偭偰嵟弶偺壖掕偑娫堘偭偰偄偰
攚棟朄偵傛傝戣堄偼枮偨偝傟偨丅

懡暘桳棟悢傪n/m偲抲偔帠偑弌棃側偐偭偨偺偱偼側偄偱偟傚偆偐丠n/m偲抲偗偽屻偼堦杮摴偺條偵巚偄傑偡丅
桳棟悢偲偼乽斾偺偁傞悢乿傪堄枴偟傑偡偺偱n/m偲抲偔帠傕擺摼偱偼側偄偐偲巚偄傑偡丅

No.11012 - 2010/07/29(Thu) 03:53:40
(No Subject) / rtako
傑偨幙栤偱偡丅
廲偺挿偝偑m,墶偺挿偝偑n偺挿曽宍偺壴偩傫偺廃傝偵丄暆a偺摴偑偮偄偰偄傞丅摴偺恀傫拞傪捠傞慄偺挿偝傪L偲偡傞偲丄摴偺丂柺愊偼aL偵摍偟偄丅偙偺偙偲傪徹柧偟側偝偄丅

L偑媮傔傜傟傑偣傫丒丒丒

No.10959 - 2010/07/25(Sun) 15:03:49

Re: / 偺傏傝傫
偙傫偵偪偼丅
夞摎偱側偔偰怽偟栿偁傝傑偣傫偑丄乽傑偨幙栤乿偺慜偵丄曻抲偟偰偍傜傟傞慜幙栤傪夝寛側偝偭偰偼偄偐偑偱偟傚偆偐丅

No.10961 - 2010/07/25(Sun) 15:40:11

Re: / rtako
偡偄傑偣傫丄朰傟偰偄傑偟偨丅慜栤戣偼棟夝偱偒丄夝寛偟傑偟偨丅
No.11016 - 2010/07/29(Thu) 12:00:37
log偺攚棟朄 / k
壗擭偐慜偵宑墳戝偱弌戣偝傟偨傕偺偱偡


log{3}俈偑桳棟悢偱偼側偄偙偲傪徹柧偣傛



戝帄媫嫵偊偰偔偩偝偄

No.10957 - 2010/07/25(Sun) 08:11:25

Re: log偺攚棟朄 / 偺傏傝傫
偙傫偵偪偼丅
攚棟朄偱娙扨偵帵偣傑偡傛丅
愭偢偼丄偛帺暘偱峫偊偰傒偰壓偝偄丅
偦傟偱傕傢偐傜側偄応崌偵偼丄傑偨彂偒崬傫偱壓偝偄丅

No.10960 - 2010/07/25(Sun) 15:38:03
堦師廬懏偺徹柧偵偮偄偰 / 倲倐
R^4偵懏偡傞俁偮偺儀僋僩儖倎=(1 -2 5 1), 倐=(2 1 -1 -3),們(2 -7 倶 倷)偑堦師廬懏偲側傞偨傔偵偼丄
們亖兛倎亄兝倐
偲側傞昁梫偑偁傞偙偲傪徹柧偟側偝偄丅

偙偺栤戣偑偱偒傑偣傫丅傛傠偟偔偍婅偄偟傑偡丅

No.10956 - 2010/07/24(Sat) 14:04:09

Re: 堦師廬懏偺徹柧偵偮偄偰 / 偺傏傝傫
偙傫偵偪偼丅
倎丄倐 偼堦師撈棫偩偐傜丄倎丄倐丄們 偑堦師廬懏偲側傞偨傔偵偼丄們 偑 倎丄倐 偺挘傞擇師尦晹暘嬻娫偵懏偡傞偙偲偑昁梫偱偡丅
傛偭偰丄戣堄偺幃偑惉傝棫偪傑偡丅

No.10958 - 2010/07/25(Sun) 14:52:56
嶰妏宍偺徹柧 / rtako
惓嶰妏宍ABC偺曈CA忋偵揰P傪偲傝丄BP傪侾曈偲偡傞惓嶰妏宍BPQ傪嶌傞丅偨偩偟丄揰Q偼捈慄BP偵偮偄偰揰A偲摨偠懁偵偲傞丅
偙偺偲偒丄仮AQB佭仮CPB偱偁傞偙偲傪徹柧偟側偝偄丅

徹柧偺恑傔曽偑傛偔暘偐傝傑偣傫丒丒丒

No.10954 - 2010/07/24(Sat) 00:12:58

Re: 嶰妏宍偺徹柧 / 儓僢僔乕
嶰妏宍偺崌摨側偺偱丄
丂嶰曈憡摍
丂擇曈嫴妏憡摍
丂擇妏嫴曈憡摍
偺偄偢傟偐傪尵偊偽偄偄偺偱偡偑丄
丂俛俻亖俛俹
丂俛俙亖俛俠
偼偡偖偵傢偐傞偺偱丄
丂俙俻亖俠俹
傑偨偼
丂佢俙俛俻亖佢俠俛俹
偑尵偊傟偽弌棃忋偑傝偱偡丅
恾傪偵傜傫偱丄偳偪傜傪帵偡偺偑揔摉偐峫偊偰傒偰偔偩偝偄丅

No.10955 - 2010/07/24(Sat) 01:45:03

Re: 嶰妏宍偺徹柧 / rtako
偡偄傑偣傫偱偟偨丅偙傟傪婎偵栤戣偼夝偗傑偟偨丄偁傝偑偲偆偛偞偄傑偟偨丅
No.10969 - 2010/07/25(Sun) 22:59:22
柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / 儔僨傿儞.ms
傢偐傜側偄偙偲偑偁偭偨偺偱媣偟傇傝偵幙栤偝偣偰偔偩偝偄丅

嫵壢彂偵偼柍尷摍斾悢楍{rn}偺嬌尷偵偮偄偰
丂丂r>1偺偲偒丂rn仺亣
偲偟偰偄傑偡偑偙傟偼e偑廂懇偡傞偺偲偼柕弬偟側偄偺偱偟傚偆偐丠

e=lim(1+丂1/n)n丂偲掕媊偝傟偰傑偡傛偹丅
丂n仺亣

1+丂1/n偼1傛傝戝偱偡偐傜丆忋偺掕棟傪巊偆偲
亣偵敪嶶偟偰偟傑偄偦偆偱偡偑丆幚嵺偼2.7偖傜偄偵廂懇偟偰偄傑偡丅

偳偙偑偍偐偟偄偺偱偟傚偆偐丠乮忋偺峫偊偑乯

No.10947 - 2010/07/23(Fri) 13:30:15

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / ast
r 傪 1 偵廫暘嬤偔偲偭偰, 偦傟傪 r = 1 + ε 偲偟傑偡. 偮傑傝 兠 偼抣偑傎傏 0 偲側傞惓偺悢偱偡. 偟偐偟, 兠 偑偳傟傎偳彫偝偄偲偟偰傕廫暘戝偒側斣崋 N 傪偲傞偲 n ≥ N 偲側傞 n 偵偮偄偰昁偢 1/n < 兠 偲偡傞偙偲偑偱偒傑偡 (偙傟傪幚悢偵偍偗傞傾儖僉儊僨僗偺尨懃偲偄偄傑偡). 偦偙偱, N 埲崀偺斣崋 n 偱偩偗峫偊傞偙偲偵偡傞偲, (1+1/n)^n < (1+ε)^n = r^n 偱偡. 戝偒偄傎偆偑敪嶶偟偰彫偝偄傎偆偑廂懇偟偰傕柕弬偼偟傑偣傫.

(偨偩偟, 崱愢柧偟偨撪梕偩偗偱偼 (1+1/n)^n 偺嬌尷 e 偑桳尷側抣偵廂傑傞偐偳偆偐偼壗傕専摙偟偰偄傑偣傫偺偱傢偐傝傑偣傫, 偁偔傑偱偦偆側偭偰傕偍偐偟偔側偄偲偄偆偙偲偺愢柧偱偡).

No.10948 - 2010/07/23(Fri) 16:07:02

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / 儔僨傿儞.ms
傾儖僉儊僨僗偺尨懃偺晹暘偑傛偔傢偐傝傑偣傫偱偟偨丅

0偵尷傝側偔嬤偄悢兠偲
暘曣偑柍尷戝偺1/n傪斾妑偟偨応崌
1/n偺曽偑彫偝偄偲偄偆偙偲側傫偱偟傚偆偐丠

寢嬊1+丂1/n偼1傛傝戝偒偄偺偐偳偆偐傕傢偐傝傑偣傫丅
1傛傝戝偒偄偲偡傞偲偦偺嵎偼兠偱昞偣傑偡偑偦傟傛傝傕彫偝偄偲偄偆偙偲偱偡偐丠

摢偑崿棎偟偰偒傑偟偨乧乧

No.10949 - 2010/07/23(Fri) 18:13:20

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / ast
> 0偵尷傝側偔嬤偄悢兠

偱偼偁傝傑偣傫, 擟堄偵慖傫偩 0 偵嬤偄惓偺幚悢 兠 偱偡. 嬤偝偼偳傟偩偗嬤偔偟偰傕偄偄偱偡偑, 尷傝側偔嬤偔偼偁傝傑偣傫. 0 偵尷傝側偔嬤偄幚悢偼 0 帺恎偱偡. ε 偼 0 偱偼偁傝傑偣傫. 1 < r 側傜偽 r 偑偳傟傎偳 1 偵嬤偔偰傕, r 偼 1 傛傝傕傢偢偐偵戝偒偄偱偡. 偦偺傢偢偐側僘儗偺戝偒偝傪 ε 偲偟偰偄傑偡.

> 暘曣偑柍尷戝偺1/n

偱偼偁傝傑偣傫, 廫暘戝偒側帺慠悢 n 偵懳偡傞 1/n 偱偡. n 偼柍尷戝偱偼偁傝傑偣傫偟, 1/n 偼柍尷彫偱偼偁傝傑偣傫.

N 偼 兠 偵埶懚偟偰寛傑傝傑偡. 偟偐偟, 奺 兠 偵懳偟偰妋幚偵偦偺傛偆側 N 偑偲傟傑偡.

No.10950 - 2010/07/23(Fri) 19:57:41

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / 儔僨傿儞.ms
柍尷戝丒柍尷彫偲姩堘偄偟偰偄偰傢偐傜側偐偭偨傛偆偱偡丅

椺偊偽
兠=0.1偺偲偒偼丂N>10偲庢傞偲n>10偲側偭偰
丂昁偢1/n<兠偑惉傝棫偪
兠=0.01,0.001,0.0001乧乧偲偳傫偳傫彫偝偔偟偰偄偭偰傕
偦傟偵懳偟偰N偑庢傟傞偺偱1/n<兠偑惉傝棫偮偲偄偆偙偲偱偟傚偆偐丅

傾儖僉儊僨僗偺尨懃偑棟夝偱偒偨傛偆側婥偑偟傑偡丅

偁偲偼丆n仺亣傪峫偊偰偄傞偺偱丆N埲崀偺n偱峫偊偰
(1+1/n)^n傛傝r^n偺曽偑戝偒偄偲偄偆偙偲偱偡偹丅

No.10951 - 2010/07/23(Fri) 20:55:19

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / ast
偛柧嶡. 偙偆偄偭偨榖偑棟夝偱偒傞偲, 戝妛弶擭搙媺偺悢妛偱婼栧偲偝傟傞強堗 ε-δ 榑朄傪傎偲傫偳僋儕傾偟偨傕摨慠偱偡偹.
No.10952 - 2010/07/23(Fri) 21:13:55

Re: 柍尷摍斾悢楍偲e偺廂懇偵偮偄偰 / 儔僨傿儞.ms
夝愢偁傝偑偲偆偛偞偄傑偟偨丅

兠兟榑朄傗兠俶榑朄側偳偼埲慜偵僱僢僩偱挷傋偨偙偲偑偁偭偨偺偱偡偑丆
暥帤偽偐傝偱傎偲傫偳棟夝偱偒側偐偭偨婰壇偑偁傝傑偡丅

戝妛偵擖傞傑偱偵偼棟夝偱偒傞傛偆偵婃挘傞偙偲偵偟傑偡丅

No.10953 - 2010/07/23(Fri) 22:38:02
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