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Tutorial 0. Preamble

Exercise sheet
Overleaf
Create project
  • Set up a new (blank) project in your Overleaf.

  • Give it a suitable project name, like “Assignments logical methods”.

  • Share that project with at least one of your fellow students.

  • Use

    main.tex
    to typeset the exercise below.

  • Create at least one more

    .tex
    file in the project and typeset it.

Latex-gymnastics  

Typeset the following in \LaTeX. Don’t take shortcuts, figure it out yourself using the tutorial and tools like detexify !

  • 0\in\mathbb{N}, but \omega\notin\mathbb{N}.

  • \mathbb{N}=\set{0,1,2,\mathellipsis}

  • e^{i\pi}-1=0

  • \frac{1}{2}+\frac{3}{4}=\frac{5}{2}

  • \forall x, x\mapsto x+2

  • 1\overset{!}{\neq}0

  • (x_i)_{i\in \mathbb{N}}=(x_1, x_2,\dots)

  • \square\phi\supset \phi

  • f(x)=\sum_{i\in I}f_i(x)^{-\frac{1}{2}}

  • \LaTeX

  • This is \textbf{boldface}, this is \textit{italic}, this is \textsf{sans}, and this is \texttt{code}.

Solutions
  • 0\in\mathbb{N}, but \omega\notin\mathbb{N}.
  • \mathbb{N}=\{0,1,2,\mathellipsis\}
  • e^{i\pi}-1=0
  • \frac{1}{2}+\frac{3}{4}=\frac{5}{2}
  • \forall x, x\mapsto x+2
  • 1\overset{!}{\neq}0
  • (x_i)_{i\in \mathbb{N}}=(x_1, x_2,\dots)
  • \square\phi\supset \phi
  • f(x)=\sum_{i\in I}f_i(x)^{-\frac{1}{2}}
  • \LaTeX
  • This is \textbf{boldface}, this is \textit{italic}, this is \textsf{sans}, and this is \texttt{code}.