Cheatsheet

Nikola

https://getnikola.com/handbook.html

nikola serve --browser
nikola serve
nikola build
nikola auto
nikola new_post -f ipynb
nikola github_deploy
nikola check -f --clean-files

Jupyter line/cell magic commands

https://metakernel.readthedocs.io/en/latest/source/README.html

%%file 'c:/<absolute_path>/<file>.m'
cd c:/<absolute_path>/<file>.m

Conda

https://docs.conda.io/projects/conda/en/4.6.0/_downloads/52a95608c49671267e40c689e0bc00ca/conda-cheatsheet.pdf

conda create --name <env_name> python=3.6
conda env list
conda env remove --name <env_name>

Git

https://docs.github.com/en/github/using-git/

git init
git remote -v
git remote rm <remote_name>
git remote add origin https://github.com/<user_name>/<repo_name>.git
git push <remote_name> <branch_name>
git push origin master
git push -f origin master

Images with defined size and caption

<img src="/image.png" alt="drawing" width="100%"/>

<figure>
    <img src="/images/image.png" alt="drawing" width="100%"/>
    <center><figcaption>Fig.1 - caption</figcaption></center>
</figure>

pdf2htmlEX

pdf2htmlEX --zoom 1.3 test.pdf

pdf2htmlEX --embed cfijo --dest-dir out test.pdf

Markdown

https://www.markdownguide.org/basic-syntax/

md + LaTex

Inline syntax $e^{ix} = \cos x + i\sin x$ outputs $e^{ix} = cos x + isin x$

Complex formulas.

\begin{cases}
\begin{aligned}
    \hat{x}_{k+1|k+1} & = \hat{x}_{k+1|k} + \gamma_{k+1} K_{k+1} \left( y_{k+1} -  C \hat{x}_{k+1|k} \right) \\
    e_{k+1|k+1}       & = \left(I-\gamma_{k+1} K_{k+1} C \right) e_{k+1|k} -\gamma_{k+1} K_{k+1} \nu_{k+1}   \\
    P_{k+1|k+1}       & = P_{k+1|k} - \gamma_{k+1} K_{k+1}C~P_{k+1|k}                                        \\
    K_{k+1}           & = P_{k+1|k} C^\intercal (C P_{k+1|k} C^\intercal+R_z)^{-1}
\end{aligned}
\end{cases}

I recommend to use <div class="math">...</div> if you copy the code directly from LaTex. It's useful for \text{...}, \align{...}, and other commands which are not compiled correctly, even if you use $$...$$. Also, works good with \label{eq:equation1} and \eqref{eq:equation1}, without the need to use tag{eq1}.

<div class="math">
    \begin{aligned}
    \bar{\gamma} > \gamma_c,&~ \bar{\nu} > \nu_c \\
    \text{s.t.}~~
    1-\dfrac{1}{max_i~|\lambda^u_i(A)|^2} \leq \gamma_c,&~\nu_c \leq 1-\dfrac{1}{\prod_i~|\lambda^u_i(A)|^2}
    \end{aligned}
</div>

md + referencing equations

Although \label{eq:equation1} and \eqref{eq:equation1} works good with <div class="math">...</div>, the alternative is to use tags in Jupyter Notebook.

\begin{align}\label{eq1}\tag{1}
a &= b+c \\
a &= ...
\end{align}

See ([1](#mjx-eqn-eq1))

md + Prism import

<pre class="lang-css line-numbers" data-jsonp="https://api.github.com/repos/<user_name>/<repository_name>/contents/<file>"></pre>

md + Embedded pdf

<object data="https://drive.google.com/viewerng/viewer?embedded=true&url=https://raw.githubusercontent.com/<user_name>/<repository_name>/master/<file_name>.pdf" width="100%" height="1200px">
    <p>It appears you don't have a PDF plugin for this browser or JavaScript is disabled. You can <a href="https://drive.google.com/viewerng/viewer?embedded=true&url=https://raw.githubusercontent.com/<user_name/<repository_name>/master/<file_name>.pdf">download the PDF.</a></p>
</object>

reStructuredText

https://getnikola.com/quickstart.html

rST + LaTex

Inline syntax :math:`e^{ix} = \cos x + i\sin x` outputs \(e^{ix} = \cos x + i\sin x\)

.. math::

\begin{cases}
\begin{aligned}
    \hat{x}_{k+1|k+1} & = \hat{x}_{k+1|k} + \gamma_{k+1} K_{k+1} \left( y_{k+1} -  C \hat{x}_{k+1|k} \right) \\
    e_{k+1|k+1}       & = \left(I-\gamma_{k+1} K_{k+1} C \right) e_{k+1|k} -\gamma_{k+1} K_{k+1} \nu_{k+1}   \\
    P_{k+1|k+1}       & = P_{k+1|k} - \gamma_{k+1} K_{k+1}C~P_{k+1|k}                                        \\
    K_{k+1}           & = P_{k+1|k} C^\intercal (C P_{k+1|k} C^\intercal+R_z)^{-1}
\end{aligned}
\end{cases}

rST + Code highlighting

.. code-block:: octave

    for k = 1:nk+1
        % Constrained MPC control law (RH-FH) LQ-MPC at every step k
        if mode == 'reg'
            [Ustar,fval,flag] = quadprog(H,L*x,Pc,qc+Sc*x);
        elseif mode == 'trk'
            [NUstar,fval,flag] = quadprog(H,L*epsilon(:,k),Pc_ssto,qc_ssto+Sc_ssto*epsilon(:,k));
        end
        % check feasibility
        if flag < 1
            disp(['Optimization is infeasible at k = ',num2str(k)]);
            break;
        end
    end

rST + Prism import

.. raw:: html

    <pre class="lang-css line-numbers" data-jsonp="https://api.github.com/repos/<user_name>/<repository_name>/contents/<file>"></pre>

rST + Embedded pdf

.. raw:: html

    <object data="https://drive.google.com/viewerng/viewer?embedded=true&url=https://raw.githubusercontent.com/<user_name/<repository_name>/master/<file_name>.pdf" width="100%" height="800px">
        <p>It appears you don't have a PDF plugin for this browser or JavaScript is disabled. You can <a href="https://drive.google.com/viewerng/viewer?embedded=true&url=https://raw.githubusercontent.com/<user_name/<repository_name>/master/<file_name>.pdf">download the PDF.</a></p>
    </object>