From a8227833062ede2cc92d58f031492460aaba7895 Mon Sep 17 00:00:00 2001 From: flavis Date: Tue, 19 May 2020 11:50:46 +0200 Subject: [PATCH] fix error in la3 and update lectures --- lecture.cls | 4 ++-- sose2020/ana/lectures | 2 +- sose2020/la/uebungen/la3.pdf | Bin 123910 -> 123912 bytes sose2020/la/uebungen/la3.tex | 8 ++++---- 4 files changed, 7 insertions(+), 7 deletions(-) diff --git a/lecture.cls b/lecture.cls index a685c74..4988e84 100644 --- a/lecture.cls +++ b/lecture.cls @@ -143,8 +143,8 @@ }% % integral d sign -\makeatletter \renewcommand\d[1]{\ensuremath{% - \;\mathrm{d}#1\@ifnextchar\d{\!}{}}} +\makeatletter \renewcommand\d[2][]{\ensuremath{% + \,\mathrm{d}^{#1}#2\@ifnextchar^{}{\@ifnextchar\d{}{\,}}}} \makeatother % contradiction diff --git a/sose2020/ana/lectures b/sose2020/ana/lectures index 52281b1..7035188 160000 --- a/sose2020/ana/lectures +++ b/sose2020/ana/lectures @@ -1 +1 @@ -Subproject commit 52281b15256442bfc7b1b8083034dd7e6b028adc +Subproject commit 7035188af95eef3fdd7dd248590d2eec53fdaa3d diff --git a/sose2020/la/uebungen/la3.pdf b/sose2020/la/uebungen/la3.pdf index 8378a74455fcaf6d948ae4bbcc6f53a6d51cf955..1f24661838721c6dbd94c53e55610e1b5e354efe 100644 GIT binary patch delta 4106 zcmV+l5cThd$OnkX2e6YI0yHv{VJ;|t&&CMtE zFJJz6w|#fNy}GS`{mtg?esg>I{j+Z`zJ7M`mkWi3%1X5hlRW4QM&%c+|EBxu( zO5%~P{+0yaRGJ~;@bRYl!^Q7^_ioiWBZzgq)h9Ra-eMWruCS!I27E>JzQR^m$rvw5 zUo{fCC*cKY)e2B8K%plPgjKE;_^ug&D=UIy9|fFH!Bh+}TMNCAvKc5_zLG-OP_28C z?{8n#tABO%X4|aa_jl|?(B1M?Vfju3V+YIkQ>%X=jVviic&7(C>W=|`eOucbL&1we zSUrwE{M4YNgx1~6A3ld)S+^?e5uWQP8-1+0Y=xgRD%;%Njz?oDtnX>8S?PFv$_wj4 zx9h8dVPP=CJg{uDSJ#uXg2)bylsT?|Ci-?4^%nkk>Gf)Jy(#U(i=E;Br|h=*5Yc0E z*X}x--AH`w_Wiz@{jUXo$A|qW(7^Mvu}XpKv(T}-$bVi^g>crl0tF4QFrk~^`@;6u zI^hphYo!pUrj{&5x-!s}w7Fz7nDbNaOV)H|dSA4URo(s`6%~X}-Tqo7%YFnH;ev%D zS?w}4^xdC@?524v#|v4*{XP7@H_GFJL9LM9kNqiElF-5TgL_VYJDuZwDC4H=%_dc0 z6fJ`9cJ{s$Ury?NjLKdZ^c7GGuHg$l)YAVP=SxPW^sFkUwXkf48Iw$xFd>~%PMt67 zJefgYNJ*g`C{6f}p9(XoAS6t3`ivMzInHPNR{>GifK-iKzxKkoJaYSPX9U|YOu3nT zl^{HTKagoO`dKM|{>W2uU=S4nS5JaprBs`!OPMoZ6LB3g&I4?=Y94yD4D*~JVo!`v zGvo{!%GLr%Nlgxt+SJLT6QvTpupm(#+KU1ob6R*X8>d`y#~DTzZQ+O;bN7cZLXxi> zX{0fL#P;meAEyg*2e}8-bltQdCV+rz<|zwH_Y<=>+7qR@Do}^Chd6z zZ%bNjhiQKf?BGbS&rs^@E<#p=7w50~KMKi(o6Zflp^++A;9-WM=L8{t*- zWDp!`Vkdzu23$iErj5HV+K076q-VcO&)`dpGXleSPSt<-#id1l{d<~QcfXB%Cx($X zm35d0jy|J*ad3HWRA;rM>ON+A;0l1m8bFU%?Kakmj9gLsq2AY;fc6TT0}ktk@2e;R z61Gy*$l6W^Ju%9}(g!)#sm59nl^i*=@3FU`M!zg*^ht@5AZ!t}@Ds09Ykn;+jq@FI z9IkXEkSksp5&@85wM}N9_4Q`lp60Qx-tuhZ#uj6LX`$Hl<{xQB!QNa^%SnEf5}LC>-zfcfBLoG=PGt%7Bk-btBI7^}VMta8hCRsx<9hEWodVngVGvSDz)!pf6#hTN-C}U!2+hNSp!fF_<|*BmFDYNdD|OjH;1fAaICH zHK?b-0rng=)eOcB{&y&L($5MzwTZwJ&Vrpz!VtPL_-Sl71v>RXt$liaMCwH2P3l~l^{)6~rS1ddk17RE0|2VG!h0AQkh%nUK;G-b>z z(kF`?5c7qfN&zkOr$iB@C#24hw@A;NdKy2RPBglZXxwC?QHWrJxH1k7X-|P9g=jK3 zIV0D=4rbZ;$YOR_!{ED0*+b7qx%E|lawKD{@NN!B5UBu~c)uF_nT~k@a2U)H+vtx0 z;~~(`V2FT(?+>yA$>=%ZSUcpjTEeERuo0DRnU>}TGo2ga$-KRAY)qOTjq5tw$fOU9 zy<~9~GWHDMn^-(_x(t2WdCvjA1TNxCSc<>1C*z2}s(`=QMHofylWtig`@t=L77ic0 zVB7Kfa{fY~v~8aqJ>!i5d=z>&ig#%sqV67muZ47W5}1-IrGo~*m!|_$aO4^Tj!y#P z08;S+Mfl*(9Y1a|e%Qtd`3&*H&O@ncVf?i7o+Ex3C`-W}%wOnO{-Q}p91KhRWv}DL zKeod9!RU(_dVdypBH%1|F7~2-rGz%lkTW?145SZAnmQJD6d#*3`>vr8SW?<_eDEC} z6*6K}Q*>IINrtgb={`a-oV>#s!>MV#VG1Z|iBNanDNENcT6i2u4)d%*H9+O(&3J$f+tK_q?d9=_VVi689h>zmD+&81p@-CmMg-Cy0^ zZ?-p^yLVUjKQ)5eP5mJW-o|QECp9(!dAP=|DTemd#6K@|ED241IDp9#Pb_1}UH{W~ z6-sFC@M32xGl?mpRz}?nHdIZa+K>&nAVw}oy8 zk430>kuG#F*+tVp4LHPq_he>Tc)Bi*Cna3egC?7%=K()l8k8nlZxTyz{ob3Y9jSo4 zlJAI$J8}y*q>tQC-IGKm%H#Xgao4Wl2cEg>2P*1HPqirle|_jX<+QdqW(vx*#sBr% zDmKW(hL62ts9u~F7pSwYn7-DH7H&61URwt)#>P>kf_19R*_|4HUrtrifBQCdx7H=~ zCX_cn-qoK{sogCqwF4#ys#t3m)7$y;np&W3Inl1ggLbr>Xt6N%0GBON?p*-L*M^65`^=kPTer!l>46$j~!63HAqix-~CTJZzDZ-ezn3$GkgC7>_WBy z-vQyEQBcUK3!wY);RKOo3at?ni+2HjsrD3IFm{+c^kY7MB!WtNN}c(Q(i+o6eY?Ul zKYFIxw$?dSH*?JOyVYPer)v1AhQd6ad9(PcjmMhSA@#-WxhgP#O{^WcSUAf$z-Qj) zun{+xnx-&wGE^IYx3OqPgSM3u@+a-hp9`{tFDB5`nine}XUj%@X*SZw?0k@n{0S%D z!R?q)a0g(2J>qk|Np$a}iiz?u1*z0{v8eOFVs=AEr>*R6&az-_uoaiM=+c1er7M{= z$}2VE1e|x$%R-P$cM|RLSyuH>K2?IEBWi7?Z+bw|kwQ&KaR#dXkTxxfhVqdXlB3b z5Z?~b`z^%C!iEoH-z<$U;+-ZiNPi;xuHQ8|H~St|KTaUu#C5k2o7xH|k#A0|J`AF! 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Für die Fittingideale gilt - $\text{Fit}_1(B) = (1)$, $\text{Fit}_2(B) = (1)$ und $\text{Fit}_3(B) = (8 + t - 4t^2 + t^{3})$. + Damit folgen die Elementarteiler $1$, $1$ und $2 - 5t + 4t^2 - t^3$. Für die Fittingideale gilt + $\text{Fit}_1(B) = (1)$, $\text{Fit}_2(B) = (1)$ und $\text{Fit}_3(B) = (2 - 5t + 4t^2 - t^{3})$. \end{enumerate} \end{aufgabe}