From 5c7d4762a164d1cf5e20015d93522f0945258ea0 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Sat, 6 Dec 2025 12:25:43 +0100 Subject: [PATCH] [TI] Fix errors --- semester3/ti/parts/05_complexity/00_intro.tex | 4 ++-- semester3/ti/ti-summary.pdf | Bin 1019112 -> 1019126 bytes 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/semester3/ti/parts/05_complexity/00_intro.tex b/semester3/ti/parts/05_complexity/00_intro.tex index fb87316..878c131 100644 --- a/semester3/ti/parts/05_complexity/00_intro.tex +++ b/semester3/ti/parts/05_complexity/00_intro.tex @@ -17,7 +17,7 @@ Wir können weiterhin die big-O-notation verwenden um den Worstcase anzugeben. \begin{definition}[]{Speicherplatzkomplexität} - Sei $C = (q, x, i, \alpha_1, i_1, \alpha_2, i_2, \ldots, \alpha_k, i_k)$ mit $0 \leq i |x| + 1$ und $0 \leq i_j \leq |\alpha_j|$ + Sei $C = (q, x, i, \alpha_1, i_1, \alpha_2, i_2, \ldots, \alpha_k, i_k)$ mit $0 \leq i \leq |x| + 1$ und $0 \leq i_j \leq |\alpha_j|$ für $j = 1, \ldots, k$ eine Konfiguration von $M$, welche eine $k$-Band TM ist. \bi{Die Speicherplatzkomplexität von} $C$ ist \rmvspace @@ -57,5 +57,5 @@ eine MTM $B$ existiert, die es auch entscheidet und für die gilt: $\tc_B(n) \le $\tco{g(n)}$ ($\tcl{f(n)}$) ist eine \bi{obere (untere) Schranke für die Zeitkomplexität von} $L$, falls eine MTM $A$ ($B$) existiert, die $L$ entscheidet und $\tc_A(n) \in \tco{g(n)}$ ($\tc_B(n) \in \tcl{f(n)}$) - Eine MTM $C$ heisst \bi{optimal für} $L$, falls $\tc_C(n) \in \tco{f(n)}$ gilt und $\tct{f(n)}$ eine untere Schranke für die Zeitkomplexität von $K$ ist. + Eine MTM $C$ heisst \bi{optimal für} $L$, falls $\tc_C(n) \in \tco{f(n)}$ gilt und $\tcl{f(n)}$ eine untere Schranke für die Zeitkomplexität von $L$ ist. \end{definition} diff --git a/semester3/ti/ti-summary.pdf b/semester3/ti/ti-summary.pdf index db7e2e54a9aab6ea90c13bfd9e3b57328e3f9dd9..5f6da6c06f33dced538f1c33970e19667c48231c 100644 GIT binary patch delta 37753 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