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Date(投稿日時):Subject(見出し):From(投稿者):
24362009/02/134段階でルベーグ積分を構築せよ。kyokoyoshida123@gmail.com
24352009/02/13Re: A $B$O=89gBN (B,M:= $B&R (B(A) $B$G&L$O (Bpremeasure $B$+$i3HD%$5$l$?B,EY (B. $B&L$,&RM-8B$J$i&L$O0l0UE*$KB8:_$9$k (Bkyokoyoshida123@gmail.com
24342009/02/10Re: Aは集合体,M:=σ(A)でμはpremeasureから拡張された測度.μがσ有限ならμは一意的に存在するchiaki@kit.ac.jp (Tsukamoto Chiaki)
24332009/02/10Re: A $B$O=89gBN (B,M:= $B&R (B(A) $B$G&L$O (Bpremeasure $B$+$i3HD%$5$l$?B,EY (B. $B&L$,&RM-8B$J$i&L$O0l0UE*$KB8:_$9$k (Bkyokoyoshida123@gmail.com
24322009/02/09Re: Aは集合体,M:=σ(A)でμはpremeasureから拡張された測度.μがσ有限ならμは一意的に存在するchiaki@kit.ac.jp (Tsukamoto Chiaki)
24312009/02/09Aは集合体,M:=σ(A)でμはpremeasureから拡張された測度.μがσ有限ならμは一意的に存在するkyokoyoshida123@gmail.com
24302009/02/09Re: E $B$, (BCaratheodory $B2DB,"N (BE $B$O (BLebesgue $B2DB, (Bkyokoyoshida123@gmail.com
24292009/02/07Re: EがCaratheodory可測⇔EはLebesgue可測chiaki@kit.ac.jp (Tsukamoto Chiaki)
24282009/02/07Re: E $B$, (BCaratheodory $B2DB,"N (BE $B$O (BLebesgue $B2DB, (Bkyokoyoshida123@gmail.com
24272009/02/07Re: Borel $BB,EY$,M-8BH>7B5e$GM-8B$J$i&L (B(O $B!@ (BE)< $B&E (B, $B&L (B(E $B!@ (BF)< $B&E$G (BF $B"> (BE $B"> (BO $B$J$k (B, $B3+JD=89g (BO $B$H (BF $B$,<h$l$k (Bkyokoyoshida123@gmail.com
24262009/02/06Re: Borel測度が有限半径球で有限ならμ(O＼E)<ε,μ(E＼F)<εでF⊂E⊂Oなる,開閉集合OとFが取れるchiaki@kit.ac.jp (Tsukamoto Chiaki)
24252009/02/06Re: Borel $BB,EY$,M-8BH>7B5e$GM-8B$J$i&L (B(O $B!@ (BE)< $B&E (B, $B&L (B(E $B!@ (BF)< $B&E$G (BF $B"> (BE $B"> (BO $B$J$k (B, $B3+JD=89g (BO $B$H (BF $B$,<h$l$k (Bkyokoyoshida123@gmail.com
24242009/02/04Re: 任意の4点に接する曲面tesigana@diary.ocn.ne.jp (tesigana@diary.ocn.ne.jp)
24232009/02/03Re: 任意の4点に接する曲面tanaq <tanaq@ca2.so-net.ne.jp>
24222009/02/03Re: Borel測度が有限半径球で有限ならμ(O＼E)<ε,μ(E＼F)<εでF⊂E⊂Oなる,開閉集合OとFが取れるchiaki@kit.ac.jp (Tsukamoto Chiaki)
24212009/02/03Re: f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
24202009/02/03Borel測度が有限半径球で有限ならμ(O＼E)<ε,μ(E＼F)<εでF⊂E⊂Oなる,開閉集合OとFが取れるkyokoyoshida123@gmail.com
24192009/02/03Re: f(x,y) $B$r (BR $B!_ (BR $B$G%k%Y!<%02DB,$JHsIi4X?t$H$9$k!#<!$N??56$rH=Dj$;$h (Bkyokoyoshida123@gmail.com
24182009/02/02Re: f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
24172009/02/02Re: ∫_(R^d)|f(x)|dx=∫[0..∞]m(E_α)dα (但し,mはルベーグ測度)となる事示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
24162009/02/02Re: f(x,y) $B$r (BR $B!_ (BR $B$G%k%Y!<%02DB,$JHsIi4X?t$H$9$k!#<!$N??56$rH=Dj$;$h (Bkyokoyoshida123@gmail.com
24152009/02/02Re: $B"i (B_(R^d)|f(x)|dx= $B"i (B[0.. $B!g (B]m(E_ $B&A (B)d $B&A (B ( $BC"$7 (B,m $B$O%k%Y!<%0B,EY (B) $B$H$J$k;v<($; (Bkyokoyoshida123@gmail.com
24142009/01/31Re: 任意の4点に接する曲面chiaki@kit.ac.jp (Tsukamoto Chiaki)
24132009/01/31Re: EがCaratheodory可測⇔EはLebesgue可測chiaki@kit.ac.jp (Tsukamoto Chiaki)
24112009/01/31Re: 任意の4点に接する曲面tanaq <tanaq@ca2.so-net.ne.jp>
24102009/01/30Re: 任意の4点に接する曲面tesigana@diary.ocn.ne.jp (tesigana@diary.ocn.ne.jp)
24092009/01/30Re: 任意の4点に接する曲面kono@ie.u-ryukyu.ac.jp (Shinji KONO)
24082009/01/30Re: 任意の4点に接する曲面toda@lbm.go.jp
24072009/01/30Re: 任意の4点に接する曲面chiaki@kit.ac.jp (Tsukamoto Chiaki)
24062009/01/29任意の4点に接する曲面tanaq <tanaq@ca2.so-net.ne.jp>
24052009/01/28Re: EがCaratheodory可測⇔EはLebesgue可測chiaki@kit.ac.jp (Tsukamoto Chiaki)
24042009/01/28Re: f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
24032009/01/28Re: ∫_(R^d)|f(x)|dx=∫[0..∞]m(E_α)dα (但し,mはルベーグ測度)となる事示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
24022009/01/28Re: E $B$, (BCaratheodory $B2DB,"N (BE $B$O (BLebesgue $B2DB, (Bkyokoyoshida123@gmail.com
24012009/01/27Re: EがCaratheodory可測⇔EはLebesgue可測chiaki@kit.ac.jp (Tsukamoto Chiaki)
24002009/01/27Re: EがCaratheodory可測⇔EはLebesgue可測kyokoyoshida123@gmail.com
23992009/01/26Re: f(x,y) $B$r (BR $B!_ (BR $B$G%k%Y!<%02DB,$JHsIi4X?t$H$9$k!#<!$N??56$rH=Dj$;$h (Bkyokoyoshida123@gmail.com
23982009/01/25EがCaratheodory可測⇔EはLebesgue可測kyokoyoshida123@gmail.com
23972009/01/25Re: $B"i (B_(R^d)|f(x)|dx= $B"i (B[0.. $B!g (B]m(E_ $B&A (B)d $B&A (B ( $BC"$7 (B,m $B$O%k%Y!<%0B,EY (B) $B$H$J$k;v<($; (Bkyokoyoshida123@gmail.com
23962009/01/20Re: f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
23952009/01/20Re: ∫_(R^d)|f(x)|dx=∫[0..∞]m(E_α)dα (但し,mはルベーグ測度)となる事示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23942009/01/19Re: f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよkyokoyoshida123@gmail.com
23932009/01/19f(x,y)をR×Rでルベーグ可測な非負関数とする。次の真偽を判定せよkyokoyoshida123@gmail.com
23922009/01/19∫_(R^d)|f(x)|dx=∫[0..∞]m(E_α)dα (但し,mはルベーグ測度)となる事示せkyokoyoshida123@gmail.com
23912009/01/14物理の本 - Fun with physics on free 1600 pagesChristoph Schiller <chri_schiller@yahoo.com>
23902008/12/29Re: P_A $B$r:G>.B?9`<0$H$7 (B,P_A(t)= $B&0 (B[i=1..r](t- $B&A (B_i)^m_i $B$G&A (B_1, $B&A (B_2, $B!D (B, $B&A (B_r $B$,Aj0[$J$k$J$i (BP_(f(A)) $B$O<!?t (B1 $B$N0x?t$GI=$5$l$k;v$r<($; (Bkyokoyoshida123@gmail.com
23892008/12/29Re: f:V(+)V( $B!_ (B)V* $B"* (BF $B$r (Bf((v+v')( $B!_ (B)g)=g(v)+g(v') $B$GDj5A$9$k (B.f $B$,@~7A<LA|$G$"$k;v$r<($; (Bkyokoyoshida123@gmail.com
23882008/12/25Re: f:V(+)V(×)V*→Fをf((v+v')(×)g)=g(v)+g(v')で定義する.fが線形写像である事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23872008/12/24Re: f:V(+)V( $B!_ (B)V* $B"* (BF $B$r (Bf((v+v')( $B!_ (B)g)=g(v)+g(v') $B$GDj5A$9$k (B.f $B$,@~7A<LA|$G$"$k;v$r<($; (Bkyokoyoshida123@gmail.com
23862008/12/21Re: P_Aを最小多項式とし,P_A(t)=Π[i=1..r](t-α_i)^m_iでα_1,α_2,…,α_rが相異なるならP_(f(A))は次数1の因数で表される事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
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