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 d463530..5d8b0f8 100644 Binary files a/graphics/math-formulas.rend-crop.pdf and b/graphics/math-formulas.rend-crop.pdf differ diff --git a/graphics/math-formulas.rend.pdf b/graphics/math-formulas.rend.pdf index f6fee65..f8ff2a9 100644 Binary files a/graphics/math-formulas.rend.pdf and b/graphics/math-formulas.rend.pdf differ