diff --git a/semester3/ti-compact/parts/05_complexity.tex b/semester3/ti-compact/parts/05_complexity.tex
index b2059f0..b2b6f32 100644
--- a/semester3/ti-compact/parts/05_complexity.tex
+++ b/semester3/ti-compact/parts/05_complexity.tex
@@ -102,8 +102,8 @@ The rest of the definition is equivalent to the one for deterministic TM and MTM
     For all $f, g: \N \rightarrow \R^+$, we define
     \rmvspace
     \begin{align*}
-        \text{NTIME}(f)  & = \{ L(M) \divides M \text{ ist eine NMTM mit } \tc_M(n) \in \tco{f(n)} \}  \\
-        \text{NSPACE}(g) & = \{ L(M) \divides M \text{ ist eine NMTM mit } \spc_M(n) \in \tco{g(n)} \} \\
+        \text{NTIME}(f)  & = \{ L(M) \divides M \text{ is an NMTM with } \tc_M(n) \in \tco{f(n)} \}  \\
+        \text{NSPACE}(g) & = \{ L(M) \divides M \text{ is an NMTM with } \spc_M(n) \in \tco{g(n)} \} \\
         \text{NLOG}      & = \text{NSPACE}(\log_2(n))                                                  \\
         \text{NP}        & = \bigcup_{c \in \N} \text{NTIME}(n^c)                                      \\
         \text{NPSPACE}   & = \bigcup_{c \in \N} \text{NSPACE}(n^c)
diff --git a/semester3/ti-compact/ti-compact.pdf b/semester3/ti-compact/ti-compact.pdf
index 690ceb5..18a8968 100644
Binary files a/semester3/ti-compact/ti-compact.pdf and b/semester3/ti-compact/ti-compact.pdf differ