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Date(投稿日時):Subject(見出し):From(投稿者):
30112009/08/09Re: ∀x∈[0,2π]に対してf_n(x)=sin(nx)の時,lim_{i→∞}f_{n_i}(x) exists for all x∈[0,2π]なるn_1<n_2<n_3<…を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
30102009/08/09Re: $B"i (B[0.. $B&P (Bi/2]f(z)dz= $B"i!N (By=0, $B&P (B/2 $B!O (B(-v(0,y)+iu(0,y))dy $B$NJQ7A (BKyokoYoshida <kyokoyoshida123@gmail.com>
30092009/08/09Re: $B"O (Bx $B": (B[0,2 $B&P (B] $B$KBP$7$F (Bf_n(x)=sin(nx) $B$N;~ (B,lim_{i $B"*!g (B}f_{n_i}(x) exists for all x $B": (B[0,2 $B&P (B] $B$J$k (Bn_1<n_2<n_3< $B!D$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
30082009/08/08Re: 基底変換写像は恒等写像?chiaki@kit.ac.jp (Tsukamoto Chiaki)
30072009/08/08Re: u(x,y)=1+ln(x^2+y^2)(但し,x>0)とするとuのharmonic conjugateを求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
30062009/08/08Re: $B<+8J?oH<<LA| (BA $B$, (BA= $B&2 (B_{j=1}^r $B&A (B_j E_j $B$H (Bspectral $BJ,2t$5$l$k$J$i (B, $B&A (B_j $B$OAj0[$J$k8GM-CM$K$J$k;v$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
30052009/08/08Re: u(x,y)=1+ln(x^2+y^2)( $BC"$7 (B,x>0) $B$H$9$k$H (Bu $B$N (Bharmonic conjugate $B$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
30042009/08/08Re: $B4pDlJQ49<LA|$O91Ey<LA| (B?KyokoYoshida <kyokoyoshida123@gmail.com>
30032009/08/03Re: 基底変換写像は恒等写像?chiaki@kit.ac.jp (Tsukamoto Chiaki)
30022009/08/03Re: $B4pDlJQ49<LA|$O91Ey<LA| (B?KyokoYoshida <kyokoyoshida123@gmail.com>
30012009/07/31Re: u(x,y)=1+ln(x^2+y^2)(但し,x>0)とするとuのharmonic conjugateを求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
30002009/07/31Re: u(x,y)=1+ln(x^2+y^2)( $BC"$7 (B,x>0) $B$H$9$k$H (Bu $B$N (Bharmonic conjugate $B$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29992009/07/31Re: Res_{z= $B&P (Bi}(z-sinh(z))/(z^2sinh (z))=i/ $B&P (BKyokoYoshida <kyokoyoshida123@gmail.com>
29982009/07/30Re: 自己随伴写像AがA=Σ_{j=1}^r α_j E_jとspectral分塊されるなら,α_jは相異なる固有値になる事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
29972009/07/30Re: $B<+8J?oH<<LA| (BA $B$, (BA= $B&2 (B_{j=1}^r $B&A (B_j E_j $B$H (Bspectral $BJ,2t$5$l$k$J$i (B, $B&A (B_j $B$OAj0[$J$k8GM-CM$K$J$k;v$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
29962009/07/30Re: 基底変換写像は恒等写像?chiaki@kit.ac.jp (Tsukamoto Chiaki)
29952009/07/30Re: ∀x∈[0,2π]に対してf_n(x)=sin(nx)の時,lim_{i→∞}f_{n_i}(x) exists for all x∈[0,2π]なるn_1<n_2<n_3<…を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29942009/07/29Re: u(x,y)=arctan(y/x) $B$,D4OB4X?t$N;~ (B,f(z) $B$r (Bx+iy $B$H (Bz $B$N;~$H$G7hDj$;$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29932009/07/29基底変換写像は恒等写像?KyokoYoshida <kyokoyoshida123@gmail.com>
29922009/07/29Re: $B"O (Bx $B": (B[0,2 $B&P (B] $B$KBP$7$F (Bf_n(x)=sin(nx) $B$N;~ (B,lim_{i $B"*!g (B}f_{n_i}(x) exists for all x $B": (B[0,2 $B&P (B] $B$J$k (Bn_1<n_2<n_3< $B!D$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29912009/07/28Re: Mを線形真部分空間とし,P_mをMへの直交射影とする時,P_mの固有値を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29902009/07/28Re: M $B$r@~7A??ItJ,6u4V$H$7 (B,P_m $B$r (BM $B$X$ND>8r<M1F$H$9$k;~ (B,P_m $B$N8GM-CM$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29892009/07/27Re: ∀x∈[0,2π]に対してf_n(x)=sin(nx)の時,lim_{i→∞}f_{n_i}(x) exists for all x∈[0,2π]なるn_1<n_2<n_3<…を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29882009/07/27Re: u(x,y)=1+ln(x^2+y^2)(但し,x>0)とするとuのharmonic conjugateを求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29872009/07/27Re: u(x,y)=arctan(y/x)が調和関数の時,f(z)をx+iyとzの時とで決定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29862009/07/27Re: u(x,y)=arctan(y/x) $B$,D4OB4X?t$N;~ (B,f(z) $B$r (Bx+iy $B$H (Bz $B$N;~$H$G7hDj$;$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29852009/07/27∀x∈[0,2π]に対してf_n(x)=sin(nx)の時,lim_{i→∞}f_{n_i}(x) exists for all x∈[0,2π]なるn_1<n_2<n_3<…を求めよKyokoYoshida <kyokoyoshida123@gmail.com>
29842009/07/27Re: T $B$r (B0,1,i $B$N;03QNN0h$H$9$k;~ (B,sup_{z $B": (BT}(z+i)^2 $B$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29832009/07/27u(x,y)=1+ln(x^2+y^2)(但し,x>0)とするとuのharmonic conjugateを求めよKyokoYoshida <kyokoyoshida123@gmail.com>
29822009/07/27Re: Tを0,1,iの三角領域とする時,sup_{z∈T}(z+i)^2を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29812009/07/27Re: ∫[0..πi/2]f(z)dz=∫[y=0,π/2](-v(0,y)+iu(0,y))dyの変形chiaki@kit.ac.jp (Tsukamoto Chiaki)
29802009/07/27Re: Res_{z=πi}(z-sinh(z))/(z^2sinh (z))=i/πchiaki@kit.ac.jp (Tsukamoto Chiaki)
29792009/07/27Re: Mを線形真部分空間とし,P_mをMへの直交射影とする時,P_mの固有値を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29782009/07/26Tを0,1,iの三角領域とする時,sup_{z∈T}(z+i)^2を求めよKyokoYoshida <kyokoyoshida123@gmail.com>
29772009/07/26Re: $B"i (B[0.. $B&P (Bi/2]f(z)dz= $B"i!N (By=0, $B&P (B/2 $B!O (B(-v(0,y)+iu(0,y))dy $B$NJQ7A (BKyokoYoshida <kyokoyoshida123@gmail.com>
29762009/07/26Re: M $B$r@~7A??ItJ,6u4V$H$7 (B,P_m $B$r (BM $B$X$ND>8r<M1F$H$9$k;~ (B,P_m $B$N8GM-CM$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29752009/07/26Re: Res_{z= $B&P (Bi}(z-sinh(z))/(z^2sinh (z))=i/ $B&P (BKyokoYoshida <kyokoyoshida123@gmail.com>
29742009/07/26Re: u(x,y)=arctan(y/x)が調和関数の時,f(z)をx+iyとzの時とで決定せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29732009/07/26Re: ∫[0..πi/2]f(z)dz=∫[y=0,π/2](-v(0,y)+iu(0,y))dyの変形chiaki@kit.ac.jp (Tsukamoto Chiaki)
29722009/07/26Re: Res_{z=πi}(z-sinh(z))/(z^2sinh (z))=i/πchiaki@kit.ac.jp (Tsukamoto Chiaki)
29712009/07/26Re: u(x,y)=arctan(y/x) $B$,D4OB4X?t$N;~ (B,f(z) $B$r (Bx+iy $B$H (Bz $B$N;~$H$G7hDj$;$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29702009/07/25Re: Res_{z= $B&P (Bi}(z-sinh(z))/(z^2sinh (z))=i/ $B&P (BKyokoYoshida <kyokoyoshida123@gmail.com>
29692009/07/25∫[0..πi/2]f(z)dz=∫[y=0,π/2](-v(0,y)+iu(0,y))dyの変形KyokoYoshida <kyokoyoshida123@gmail.com>
29682009/07/24Re: Res_{z=πi}(z-sinh(z))/(z^2sinh (z))=i/πchiaki@kit.ac.jp (Tsukamoto Chiaki)
29672009/07/24Re: Mを線形真部分空間とし,P_mをMへの直交射影とする時,P_mの固有値を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29662009/07/24Re: M $B$r@~7A??ItJ,6u4V$H$7 (B,P_m $B$r (BM $B$X$ND>8r<M1F$H$9$k;~ (B,P_m $B$N8GM-CM$r5a$a$h (BKyokoYoshida <kyokoyoshida123@gmail.com>
29652009/07/24Re: Res_{z= $B&P (Bi}(z-sinh(z))/(z^2sinh (z))=i/ $B&P (BKyokoYoshida <kyokoyoshida123@gmail.com>
29642009/07/23Re: Mを線形真部分空間とし,P_mをMへの直交射影とする時,P_mの固有値を求めよchiaki@kit.ac.jp (Tsukamoto Chiaki)
29632009/07/23Re: Res_{z=πi}(z-sinh(z))/(z^2sinh (z))=i/πchiaki@kit.ac.jp (Tsukamoto Chiaki)
29622009/07/23Re: 自己随伴写像AがA=Σ_{j=1}^r α_j E_jとspectral分塊されるなら,α_jは相異なる固有値になる事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)

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