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Date(投稿日時):Subject(見出し):From(投稿者):
28202009/05/17Re: Hausdorff次元dimF=αならFはm_α-可測? fがm_α可測なら∫_F f(x)dm_α<∞?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28192009/05/17Re: Sierpinski triangleはどうしてself-similar?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28182009/05/17Re: 有限測度空間でf,f_n:X→[-∞,∞],n=1,2,…,可測の時,f_n→f a.e.で |f_n|≦1なら∫f_n→∫fで反例f_n(x)=sinxは使えない?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28172009/05/17Re: m^*_αはHausdorff外測度とする。∀r>0に対して,m^*_α(rE)=r^αm^*_α(E)?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28162009/05/17Re: SがsimilarityならSは線分を線分へ写す事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
28152009/05/17Re: SがsimilarityならSは線分を線分へ写す事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
28142009/05/17Re: f(x):=x^2+x+1 $B": (BZ_p[x] $B$N;~ (B,Z_p/(f(x)) $B$N9=B$$r7hDj$;$h$O (Bkyokoyoshida123@gmail.com
28132009/05/17集合 A,B について、A から B への単射があるか,または B から A への単射があるkyokoyoshida123@gmail.com
28122009/05/17Re: $BM-8BB,EY6u4V$G (Bf,f_n:X $B"* (B[- $B!g (B, $B!g (B],n=1,2, $B!D (B, $B2DB,$N;~ (B,f_n $B"* (Bf a.e. $B$G (B |f_n| $B!e (B1 $B$J$i"i (Bf_n $B"*"i (Bf $B$GH?Nc (Bf_n(x)=sinx $B$O;H$($J$$ (B?kyokoyoshida123@gmail.com
28112009/05/17Re: m^*_ $B&A$O (BHausdorff $B30B,EY$H$9$k!#"O (Br>0 $B$KBP$7$F (B,m^*_ $B&A (B(rE)=r^ $B&A (Bm^*_ $B&A (B(E)?kyokoyoshida123@gmail.com
28102009/05/16メタ圏,メタグラフ,対象,射,圏の定義は?kyokoyoshida123@gmail.com
28092009/05/16Re: Hausdorff $B<!85 (BdimF= $B&A$J$i (BF $B$O (Bm_ $B&A (B- $B2DB, (B? f $B$, (Bm_ $B&A2DB,$J$i"i (B_F f(x)dm_ $B&A (B< $B!g (B?kyokoyoshida123@gmail.com
28082009/05/16Re: Sierpinski triangle $B$O$I$&$7$F (Bself-similar?kyokoyoshida123@gmail.com
28072009/05/16Re: S $B$, (Bsimilarity $B$J$i (BS $B$O@~J,$r@~J,$X<L$9;v$r<($; (Bkyokoyoshida123@gmail.com
28062009/05/16Re: S $B$, (Bsimilarity $B$J$i (BS $B$O@~J,$r@~J,$X<L$9;v$r<($; (Bkyokoyoshida123@gmail.com
28052009/05/15Re: $B&M (B_* $B$r (BLebesgue $B30B,EY$H$9$k$H (B{E;for $B"O (BA $B"> (BX, $B&M (B_*(A)= $B&M (B_*(E $B"A (BA)+ $B&M (B_*(E $B"A (BA^c)} $B$O3+=89g$i4^$`:G>.$N&R=89gBN (B?kyokoyoshida123@gmail.com
28042009/05/13Re: Hausdorff次元dimF=αならFはm_α-可測? fがm_α可測なら∫_F f(x)dm_α<∞?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28032009/05/13Re: Hausdorff $B<!85 (BdimF= $B&A$J$i (BF $B$O (Bm_ $B&A (B- $B2DB, (B? f $B$, (Bm_ $B&A2DB,$J$i"i (B_F f(x)dm_ $B&A (B< $B!g (B?kyokoyoshida123@gmail.com
28022009/05/13Re: Sierpinski triangleはどうしてself-similar?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28012009/05/13Re: ν_*をLebesgue外測度とすると{E;for∀A⊂X,ν_*(A)=ν_*(E∩A)+ν_*(E∩A^c)}は開集合ら含む最小のσ集合体?chiaki@kit.ac.jp (Tsukamoto Chiaki)
28002009/05/13Re: 有限測度空間でf,f_n:X→[-∞,∞],n=1,2,…,可測の時,f_n→f a.e.で |f_n|≦1なら∫f_n→∫fで反例f_n(x)=sinxは使えない?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27992009/05/13Re: Sierpinski triangle $B$O$I$&$7$F (Bself-similar?kyokoyoshida123@gmail.com
27982009/05/13Re: $B&M (B_* $B$r (BLebesgue $B30B,EY$H$9$k$H (B{E;for $B"O (BA $B"> (BX, $B&M (B_*(A)= $B&M (B_*(E $B"A (BA)+ $B&M (B_*(E $B"A (BA^c)} $B$O3+=89g$i4^$`:G>.$N&R=89gBN (B?kyokoyoshida123@gmail.com
27972009/05/13Re: $BM-8BB,EY6u4V$G (Bf,f_n:X $B"* (B[- $B!g (B, $B!g (B],n=1,2, $B!D (B, $B2DB,$N;~ (B,f_n $B"* (Bf a.e. $B$G (B |f_n| $B!e (B1 $B$J$i"i (Bf_n $B"*"i (Bf $B$GH?Nc (Bf_n(x)=sinx $B$O;H$($J$$ (B?kyokoyoshida123@gmail.com
27962009/05/13Re: m^*_αはHausdorff外測度とする。∀r>0に対して,m^*_α(rE)=r^αm^*_α(E)?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27952009/05/13Re: SがsimilarityならSは線分を線分へ写す事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
27942009/05/13Re: ΦがC^級,全単射なO→O'な写像の時,EがLebesgue可測ならΦ(E)もLebesgue可測であるchiaki@kit.ac.jp (Tsukamoto Chiaki)
27932009/05/12Re: H $B$, (BG $B$N@55,ItJ,72$G (Bm:=[G:H] $B$J$i"O (Ba $B": (BG $B$KBP$7$F (B,a^m $B": (BHkyokoyoshida123@gmail.com
27922009/05/12Re: m^*_ $B&A$O (BHausdorff $B30B,EY$H$9$k!#"O (Br>0 $B$KBP$7$F (B,m^*_ $B&A (B(rE)=r^ $B&A (Bm^*_ $B&A (B(E)?kyokoyoshida123@gmail.com
27912009/05/12Re: S $B$, (Bsimilarity $B$J$i (BS $B$O@~J,$r@~J,$X<L$9;v$r<($; (Bkyokoyoshida123@gmail.com
27902009/05/12Re: $B&5$, (BC^ $B5i (B, $BA4C1<M$J (BO $B"* (BO' $B$J<LA|$N;~ (B,E $B$, (BLebesgue $B2DB,$J$i&5 (B(E) $B$b (BLebesgue $B2DB,$G$"$k (Bkyokoyoshida123@gmail.com
27892009/05/11Re: Rを実数体.R[x]/<x^2+x+1>は体になる事を示せ, この環は何に環同型?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27882009/05/11Re: ΦがC^級,全単射なO→O'な写像の時,EがLebesgue可測ならΦ(E)もLebesgue可測であるchiaki@kit.ac.jp (Tsukamoto Chiaki)
27872009/05/11Re: f(x):=x^2+x+1∈Z_p[x]の時,Z_p/(f(x))の構造を決定せよはchiaki@kit.ac.jp (Tsukamoto Chiaki)
27862009/05/11Re: SがsimilarityならSは線分を線分へ写す事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
27852009/05/11Re: S $B$, (Bsimilarity $B$J$i (BS $B$O@~J,$r@~J,$X<L$9;v$r<($; (Bkyokoyoshida123@gmail.com
27842009/05/11Re: $B&R (B=(26)(35), $B&C (B=(13)(45) $B": (BS_6:6 $B<!BP>N72$G=d2s72 (B< $B&R&S (B> $B$O (BS_6 $B$N@55,ItJ,72 (B? < $B&R&S (B> $B$N1&N`$NBg$-$5$r5a$a$h (Bkyokoyoshida123@gmail.com
27832009/05/11Re: R $B$r<B?tBN (B.R[x]/<x^2+x+1> $B$OBN$K$J$k;v$r<($; (B, $B$3$N4D$O2?$K4DF17? (B?kyokoyoshida123@gmail.com
27822009/05/11Re: 2 $B$D??ItJ,72$NOB=89g$G$"$k$h$&$J72$OB8:_$7$J$$ (Bkyokoyoshida123@gmail.com
27812009/05/11Re: Z_m $B$N6KBg%$%G%"%k$HAG%$%G%"%k$r5a$a$h (Bkyokoyoshida123@gmail.com
27802009/05/11Re: f(x):=x^2+x+1 $B": (BZ_p[x] $B$N;~ (B,Z_p/(f(x)) $B$N9=B$$r7hDj$;$h$O (Bkyokoyoshida123@gmail.com
27792009/05/11Re: $B&5$, (BC^ $B5i (B, $BA4C1<M$J (BO $B"* (BO' $B$J<LA|$N;~ (B,E $B$, (BLebesgue $B2DB,$J$i&5 (B(E) $B$b (BLebesgue $B2DB,$G$"$k (Bkyokoyoshida123@gmail.com
27782009/05/10Re: Koch $B6J@~$rD4$Y$F$$$F4v$D$+<ALd$,$"$j$^$9 (Bkyokoyoshida123@gmail.com
27772009/05/10Re: Koch $B6J@~$rD4$Y$F$$$F4v$D$+<ALd$,$"$j$^$9 (Bkyokoyoshida123@gmail.com
27762009/05/09Re: SがsimilarityならSは線分を線分へ写す事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
27752009/05/09Re: ΦがC^級,全単射なO→O'な写像の時,EがLebesgue可測ならΦ(E)もLebesgue可測であるchiaki@kit.ac.jp (Tsukamoto Chiaki)
27742009/05/09Re: f(x)=x^k(k $B$O<+A3?t (B) $B$G (Bm_ $B&A (B(E)=0 $B"M (Bm_ $B&A (B(f(E))=0 $B$J$i (Bdim(E)=dimf(E) $B$r<($; (Bkyokoyoshida123@gmail.com
27732009/05/09Re: singlar $B$H (Babsoultely continuous $B$K$D$$$F$N??56H=Dj (Bkyokoyoshida123@gmail.com
27722009/05/09Re: S $B$, (Bsimilarity $B$J$i (BS $B$O@~J,$r@~J,$X<L$9;v$r<($; (Bkyokoyoshida123@gmail.com
27712009/05/09Re: $B&5$, (BC^ $B5i (B, $BA4C1<M$J (BO $B"* (BO' $B$J<LA|$N;~ (B,E $B$, (BLebesgue $B2DB,$J$i&5 (B(E) $B$b (BLebesgue $B2DB,$G$"$k (Bkyokoyoshida123@gmail.com
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