From 7fc4292c48170dbb79c8a807576522de0a03598b Mon Sep 17 00:00:00 2001 From: Christian Kremitzl Date: Tue, 20 Jul 2021 21:06:25 +0200 Subject: [PATCH] Translate exercise 10. --- exercises/maths/math-formulas.done.tex | 16 ++++++++-------- exercises/maths/math-formulas.raw.tex | 2 +- exercises/maths/math-formulas.rend.tex | 14 +++++++------- exercises/maths/task.tex | 5 +++-- graphics/math-formulas.rend-crop.pdf | Bin 76982 -> 89900 bytes graphics/math-formulas.rend.pdf | Bin 76613 -> 89526 bytes 6 files changed, 19 insertions(+), 18 deletions(-) diff --git a/exercises/maths/math-formulas.done.tex b/exercises/maths/math-formulas.done.tex index 6b29369..3890d46 100644 --- a/exercises/maths/math-formulas.done.tex +++ b/exercises/maths/math-formulas.done.tex @@ -1,25 +1,25 @@ \begin{minted}{latex} -% Fallbeschleunigung in Deutschland +% Gravitational acceleration in Germany $$9,81\,\frac{m}{s^2}$$ -% pq-Formel +% pq formula $$x_{1,2} = - \frac{p}{2} \pm \sqrt{\left(\frac{p}{2}\right)^2 - q}$$ -% Mitternachtsformel +% Quadratic formula $$x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ -% Catalansche Zahlen +% Catalan numbers \begin{equation*} C_n = \frac{1}{n+1} {2n \choose n} = \frac{(2n)!}{(n+1)!n!} \end{equation*} -% Definition der Fakultät +% Definition of a factorial $$n! = \prod_{i=1}^{n} i$$ -% Menge aller ungeraden natürlichen Zahlen -$$\{ x \mid x \in \mathds{N}, \mathrm{ungerade}(x) \}$$ +% Set of all odd natural numbers +$$\{ x \mid x \in \mathds{N}, \mathrm{odd}(x) \}$$ % Elimination $\neg\exists x$ $$\neg\exists x . p(x) \Leftrightarrow \forall x . \neg p(x)$$ -\end{minted} \ No newline at end of file +\end{minted} diff --git a/exercises/maths/math-formulas.raw.tex b/exercises/maths/math-formulas.raw.tex index 609c4f7..283efb3 100644 --- a/exercises/maths/math-formulas.raw.tex +++ b/exercises/maths/math-formulas.raw.tex @@ -1,2 +1,2 @@ -% Ersetzt diese Grafik durch die entsprechenden Formeln: +% Replace this graphic by the corresponding formulas: \includegraphics{graphics/math-formulas.rend-crop.pdf} diff --git a/exercises/maths/math-formulas.rend.tex b/exercises/maths/math-formulas.rend.tex index 78c8b52..f7c5820 100644 --- a/exercises/maths/math-formulas.rend.tex +++ b/exercises/maths/math-formulas.rend.tex @@ -15,28 +15,28 @@ \hrule \begin{center} -\textbf{Fallbeschleunigung in Deutschland} +\textbf{Gravitational acceleration in Germany} $$9,81\,\frac{m}{s^2}$$ \\ ~ \\ -\textbf {pq-Formel} +\textbf {\textit{pq} formula} $$x_{1,2} = - \frac{p}{2} \pm \sqrt{\left(\frac{p}{2}\right)^2 - q}$$ \\ ~ \\ -\textbf{Mitternachtsformel} +\textbf{Quadratic formula} $$x_{1,2} = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ \\ ~ \\ -\textbf{Catalansche Zahlen} +\textbf{Catalan numbers} \begin{equation*} C_n = \frac{1}{n+1} {2n \choose n} = \frac{(2n)!}{(n+1)!n!} \end{equation*} \\ ~ \\ -\textbf{Definition der Fakultät} +\textbf{Definition of a factorial} $$n! = \prod_{i=1}^{n} i$$ \\ ~ \\ -\textbf{Menge aller ungeraden natürlichen Zahlen} -$$\{ x \mid x \in \mathds{N}, \mathrm{ungerade}(x) \}$$ +\textbf{Set of all odd natural numbers} +$$\{ x \mid x \in \mathds{N}, \mathrm{odd}(x) \}$$ ~ \\ \textbf{Elimination $\neg\exists x$} diff --git a/exercises/maths/task.tex b/exercises/maths/task.tex index 7ef70c7..29db339 100644 --- a/exercises/maths/task.tex +++ b/exercises/maths/task.tex @@ -1,3 +1,4 @@ -Setzt die folgenden Formeln und beachtet dabei die Größe der Klammern. +Use \LaTeX{} math mode to typeset the following formulas. +Pay attention to the size of brackets. -\exercisematerial{exercises/maths/math-formulas} \ No newline at end of file +\exercisematerial{exercises/maths/math-formulas} diff --git a/graphics/math-formulas.rend-crop.pdf b/graphics/math-formulas.rend-crop.pdf index d463530d8cd8c89fd2af44c451c01a94477c1e1c..5d8b0f828701ef25991fc4e398cf7c18a444e438 100644 GIT binary patch delta 47260 zcmV(-K-|B!*#xY<1(079BZcH#E`85jLj{+7u0SpTY=8!|v2z6hFf=hBF)|=9AW|4Vu6?Mg_0(+_@^@62xE;5I{k1hK2AP# z&f4|2o5{;}a1mwn*aP+-lgCCJNt6;{^h&=7ObRoK@?8ikoes*hbpv{Is3;fH zfWvuIj5L~0M%8Gf+uNTI)yh+d`Kb2nywnlV0%0R{_;s#?W2$qhygi*Ee=j{7QJ{RH z9WAixsV%}B3yTCBTrG?NxlL{O;jvsKiJaF8d5)V>g+zLm!MIDPX`e^UaE6**^ft*- zQ=`F9k9H@57hn+E&Aw*SU^(_EUXi5X1xrZlNc|~fSPSPMtdRS$eh8i9F$Hg3S(KQz z1GGa0r{FUZo-3@L)jl?Sf2ywRxkgydGrAUnbdCXAOZKA?K$nX^b((@0Dl8t+zoa{0 z%^{|)xXK(E955l+1qG>0BWiETUAZosVWFB29xFC{#WyrvZhz!BfpI4ojTOmL4JqDa z>K$T515(^&W)CRGQArDeV#Zz#>r99pD#8iN2n&x+2^ed%87s2Ze^oG&ycvaR+X(+M zD~PD0d7ps3no4j4X5EQlmd*w}sKBE5!n{_fQU!y$1-gX`L%75CYr`Q5bBqE6(+bJd zP`Xy(n+GEZ4G)EzmKN12I|~@;(LM{b9Pb;|fBLxG9mI6KuA_R7MNb#A zqWY-RvD`gw+nd&iRQ5ZL!Nrhcb;$0{aC?sAPx-0UcLslDJUCo%+{GT+3l0ssp6%ZM zk!5-6`Qx|0E>j2}@pQ2`!8=qE?VUa4D$?(Xmk5^&ZlAp0aw$g_)=2eW{Cm4zZB}>n z6*)5^fPk?BUUrqc1?wb>VJy@I?joAnwDUP%on$;+J!JIRK*#%`IHhCmnc>8Av@d{P zYZc%eW`?ZpH@iAlYgZW`X|FEI4>`O_n+wit|L>WHU8nuyh9b!T>3+r^H~#??f($*A zsh}s5>;?`5I59Rcld;+q1u-}`G%}L`{33sBx^r-5@6s+D+jgE<6Wg|}iTT8y*tTuk zwr$(VOpJ+netYk;-&5~bU#)-oZd6}=-My;1S1k$>341#iH4g_fW_o4@CLVyQgoqY1 z6B84FiGdZ4f75&>3^(F?*EY(;Fy^Kra%)HfU%hc&<>9AU%W}%ncD+6{-ZW^b@;F8 zA3)Ck-~&+q!yyg8)Xe-JZ&w=|1tVKC0JW&St%IwJnG-o%-zfcZe!Kngg4kK ztu?g5SG;Jx5|VCy)=-^pl^JwxruRk{6*z2ZYH)mocdv$*{|kX|F2H}7fB$k%`o4wK zD9#MwbZR=9BwTM5@1=yS(!#fP=S{ibwIN*p8bSlt)W7W(3 z>R00mzR4vhhh^3eATRULJ=%ST9yEpF7~% z1!d%_j}HVyIh4pdybQc z1~FSxw)N-9F=l@ks*f~@+ULs147;J17q#G|J~$DS9@$Rk?Jd)W9}&E?xh2A(19#KD zm?9^bHC{xexp0(E3}Z7)TrNTU_#^Ss+jD>Usrq>*&eSwQaeIG_E-N&Q z2%05h9}Pi%1Z6O?7>^Wt5UmHcaSX9^xej@rt8Lvy1AX;PesjlFcFd~C&#vypC3pE3 z@hj^y+yWXtd#*r~?lt8K^L=57E_7)4K2(B2JP@g)tzrqj%H?F;zbrpiRKrkyO-uo9 zx~Y1BPv+1k0##&-Z(F=$2@p3RT@&%(OY=;gFMLk_ax{h@Uk4%y)NpB@qzCX}i2ZF8OQ;Uo@fvgQ$HlfYwX2KGLj7fES?z z(DDs5ipfDt(slBNbde#xHf|N_I+r)CVO2%^&DX`J7fy=b9sBcL?q$-YNtK0g1=u17 z>xIc|eNwZUZ;iuk3FSEB3|ZM6)7a*$KK6h3^{0Xcj0iFD@GgZlh^4ivTz(?R{Ls`#sRqI7~K-&-umWLeMuZ~sk@qQ})qf5HyvIp2S6 zYe~M795ZS(h}WP<{_t7X;xNjeW*GKbx&#>+6$GU0=8}jy4Iw`8-9vbKUd{N7PVm7A zIRui5vMwB8arD_0RP{&4Mlq_tBiqBV)0=~`VbqMYyEk znT3GXLU9s@IXFFr{ggj;R0ZIV=xBde`LR^PeK(nW3El-=1$DdoCs{w9?Jrotn<=6% zOMZuz_q0=D>h#So4M4dYN$Dv>6uMLk_b5fH-GWBEY!DOgaP+5n)M?87NW<})gppJ4h-Z|dj-=fA

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