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Date(投稿日時):Subject(見出し):From(投稿者):
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)
23852008/12/20Re: 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
23842008/12/14Re: ( $BB3 (B)( $B&8 (B, $B&2 (B, $B&L (B) $B$,&RM-8BB,EY6u4V$G (B1 $B!e (Bp< $B!g$G (Bf_k $B$O (Bf $B$K (BL^p $B<}B+$G"O (Bx $B":&8 (B,lim[k $B"*!g (B]g_k(x)=g(x) $B$G"O (Bk, $B!B (Bg_k $B!B (B_ $B!g!e (BM $B$J$i (Bf_kg_k $B$O (Bfg $B$K (BL^p $B<}B+$9$k;v$r<($; (Bkyokoyoshida123@gmail.com
23832008/12/12Re: 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)
23822008/12/12Re: 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)
23812008/12/12Re: (続)(Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23802008/12/12Re: 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
23792008/12/12Re: 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
23782008/12/12Re: ( $BB3 (B)( $B&8 (B, $B&2 (B, $B&L (B) $B$,&RM-8BB,EY6u4V$G (B1 $B!e (Bp< $B!g$G (Bf_k $B$O (Bf $B$K (BL^p $B<}B+$G"O (Bx $B":&8 (B,lim[k $B"*!g (B]g_k(x)=g(x) $B$G"O (Bk, $B!B (Bg_k $B!B (B_ $B!g!e (BM $B$J$i (Bf_kg_k $B$O (Bfg $B$K (BL^p $B<}B+$9$k;v$r<($; (Bkyokoyoshida123@gmail.com
23772008/12/11Re: (続)(Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23762008/12/11(続)(Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せkyokoyoshida123@gmail.com
23752008/12/11Re: 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)
23742008/12/11Re: 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)
23732008/12/10P_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kyokoyoshida123@gmail.com
23722008/12/10Re: 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
23712008/12/09Re: E_ji $B$,8GM-%Y%/%H%k$G$"$k;v$r<($;!# (Bkyokoyoshida123@gmail.com
23702008/12/08Re: 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)
23692008/12/08Re: 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
23682008/12/08A unique way to learn English & Foreign Languageyuj99 <yuj1010@gmail.com>
23672008/12/08Re: 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)
23662008/12/08Re: E_jiが固有ベクトルである事を示せ。chiaki@kit.ac.jp (Tsukamoto Chiaki)
23652008/12/07f: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kyokoyoshida123@gmail.com
23642008/12/07Re: E_ji $B$,8GM-%Y%/%H%k$G$"$k;v$r<($;!# (Bkyokoyoshida123@gmail.com
23632008/12/06Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$K$*$$$F (Bf_k $B$O (Bf $B$K (BL^p $B<}B+ (B(1 $B!e (Bp $B!e!g (B) $B$J$i"O (Bg $B": (BL^q (1/p+1/q=1) $B$KBP$7$F"i (B_ $B&8 (Bf_k(x)g(x)d $B&L"*"i (B_ $B&8 (Bf(x)g(x)d $B&L$r<($; (Bkyokoyoshida123@gmail.com
23622008/12/05Re: E_jiが固有ベクトルである事を示せ。chiaki@kit.ac.jp (Tsukamoto Chiaki)
23612008/12/05E_jiが固有ベクトルである事を示せ。kyokoyoshida123@gmail.com
23602008/12/05Re: (Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23592008/12/05Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$,&RM-8BB,EY6u4V$G (B1 $B!e (Bp< $B!g$G (Bf_k $B$O (Bf $B$K (BL^p $B<}B+$G"O (Bx $B":&8 (B,lim[k $B"*!g (B]g_k(x)=g(x) $B$G"O (Bk, $B!B (Bg_k $B!B (B_ $B!g!e (BM $B$J$i (Bf_kg_k $B$O (Bfg $B$K (BL^p $B<}B+$9$k;v$r<($; (Bkyokoyoshida123@gmail.com
23582008/12/05Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$K$*$$$F (Bf_k $B$O (Bf $B$K (BL^p $B<}B+ (B(1 $B!e (Bp $B!e!g (B) $B$J$i"O (Bg $B": (BL^q (1/p+1/q=1) $B$KBP$7$F"i (B_ $B&8 (Bf_k(x)g(x)d $B&L"*"i (B_ $B&8 (Bf(x)g(x)d $B&L$r<($; (Bkyokoyoshida123@gmail.com
23572008/12/05Re: (Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23562008/12/04Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$K$*$$$F (Bf_k $B$O (Bf $B$K (BL^p $B<}B+ (B(1 $B!e (Bp $B!e!g (B) $B$J$i"O (Bg $B": (BL^q (1/p+1/q=1) $B$KBP$7$F"i (B_ $B&8 (Bf_k(x)g(x)d $B&L"*"i (B_ $B&8 (Bf(x)g(x)d $B&L$r<($; (Bkyokoyoshida123@gmail.com
23552008/12/03Re: (Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23542008/12/03Re: (Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23532008/12/03Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$,&RM-8BB,EY6u4V$G (B1 $B!e (Bp< $B!g$G (Bf_k $B$O (Bf $B$K (BL^p $B<}B+$G"O (Bx $B":&8 (B,lim[k $B"*!g (B]g_k(x)=g(x) $B$G"O (Bk, $B!B (Bg_k $B!B (B_ $B!g!e (BM $B$J$i (Bf_kg_k $B$O (Bfg $B$K (BL^p $B<}B+$9$k;v$r<($; (Bkyokoyoshida123@gmail.com
23522008/12/03Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$K$*$$$F (Bf_k $B$O (Bf $B$K (BL^p $B<}B+ (B(1 $B!e (Bp $B!e!g (B) $B$J$i"O (Bg $B": (BL^q (1/p+1/q=1) $B$KBP$7$F"i (B_ $B&8 (Bf_k(x)g(x)d $B&L"*"i (B_ $B&8 (Bf(x)g(x)d $B&L$r<($; (Bkyokoyoshida123@gmail.com
23512008/12/02Re: (Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23502008/12/02Re: (Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23492008/12/02(Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せkyokoyoshida123@gmail.com
23482008/12/02(Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せkyokoyoshida123@gmail.com
23472008/12/01GPS math"Jon G." <jon8338@peoplepc.com>
23462008/11/26GPS math"Jon G." <jon8338@peoplepc.com>
23452008/11/24Re: f_n $B$O&22DB,4X?t$H$9$k!#$b$7 (Bf_n $B!f (B0 $B&L (B-a.e $B$J$i$P"i (B_ $B&8&2 (B[n=1.. $B!g (B]f_nd $B&L (B= $B&2 (B[n=1.. $B!g (B] $B"i (B_ $B&8 (Bf_nd $B&L$r<($; (Bkyokoyoshida123@gmail.com
23442008/11/24Re: f_nはΣ可測関数とする。もしf_n≧0 μ-a.eならば∫_ΩΣ[n=1..∞]f_ndμ=Σ[n=1..∞]∫_Ωf_ndμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
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