Jupyter Notebook Cheat Sheet

May 22, 2020 - A handy Jupyter Notebook Cheat Sheet that will help you get acquianted with Jupyter Notebook used to develop and share Python Programs and Documents. Jupyter Notebook Markdown Cheatsheet April 9, 2020 SqlBak mike Jupyter Notebook is a great tool for data analysis. And one of its greatest features is that you.

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Jupyter Notebook Tutorial
Jupyter Notebook Cheat Sheet

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7.1. Table of Contents¶

7.2. Numeric¶

7.3. Basic plotting functions¶

7.4. Symbolic manipulation¶

7.4.1. Imports¶

Symbol definitions

Example controller and system

7.4.2. Working with rational functions and polynomials¶

We often want nice rational functions, but sympy doesn’t make expressions rational by default

$$frac{5 K_{c} left(s tau + 1right)}{s tau left(10 s + 1right)^{2}} + 1$$

The cancel function forces this to be a fraction. collect collects terms.

$$frac{5 K_{c} + 100 s^{3} tau + 20 s^{2} tau + s left(5 K_{c} tau + tauright)}{100 s^{3} tau + 20 s^{2} tau + s tau}$$

In some cases we can factor equations:

$$frac{5 K_{c} + 100 s^{3} tau + 20 s^{2} tau + s left(5 K_{c} tau + tauright)}{s tau left(10 s + 1right)^{2}}$$

Obtain the numerator and denominator:

$$left ( 5 K_{c} + 100 s^{3} tau + 20 s^{2} tau + s left(5 K_{c} tau + tauright), quad 100 s^{3} tau + 20 s^{2} tau + s tauright )$$

If you want them both, you can use

$$left ( 5 K_{c} + 100 s^{3} tau + 20 s^{2} tau + s left(5 K_{c} tau + tauright), quad 100 s^{3} tau + 20 s^{2} tau + s tauright )$$

Convert to polynomial in s

Once we have a polynomial, it is easy to obtain coefficients:

$$left [ 100 tau, quad 20 tau, quad 5 K_{c} tau + tau, quad 5 K_{c}right ]$$

Calculate the Routh Array

$$left[begin{matrix}100 tau & 5 K_{c} tau + tau20 tau & 5 K_{c}- 25 K_{c} + tau left(5 K_{c} + 1right) & 05 K_{c} & 0end{matrix}right]$$

To get a function which can be used numerically, use lambdify:

7.4.3. Functions useful for discrete systems¶

Write in terms of positive powers of (z):

Write in terms of negative powers of (z):

Inversion of the (z) transform

$$left [ 0, quad 1, quad 1, quad 1, quad 1, quad 1, quad 1, quad 1, quad 1, quad 1right ]$$

7.5. Equation solving¶

7.5.1. Symbolic¶

$$left { x : - a, quad y : a + 2, quad z : -2right }$$

7.5.2. Numeric sympy¶

$$left[begin{matrix}-2.219107148913752.21910714891375end{matrix}right]$$

7.5.3. Numeric¶

7.6. Matrix math¶

7.6.1. Symbolic¶

Jupyter Notebook Cheat Sheet Github

Creation

$$left[begin{matrix}G_{11} & G_{12}G_{21} & G_{22}end{matrix}right]$$

Determinant, inverse, transpose

$$left ( G_{11} G_{22} - G_{12} G_{21}, quad left[begin{matrix}frac{G_{22}}{G_{11} G_{22} - G_{12} G_{21}} & - frac{G_{12}}{G_{11} G_{22} - G_{12} G_{21}}- frac{G_{21}}{G_{11} G_{22} - G_{12} G_{21}} & frac{G_{11}}{G_{11} G_{22} - G_{12} G_{21}}end{matrix}right], quad left[begin{matrix}G_{11} & G_{21}G_{12} & G_{22}end{matrix}right]right )$$

Math operations: Multiplication, addition, elementwise multiplication:

$$left ( left[begin{matrix}G_{11}^{2} + G_{12} G_{21} & G_{11} G_{12} + G_{12} G_{22}G_{11} G_{21} + G_{21} G_{22} & G_{12} G_{21} + G_{22}^{2}end{matrix}right], quad left[begin{matrix}2 G_{11} & 2 G_{12}2 G_{21} & 2 G_{22}end{matrix}right], quad left[begin{matrix}G_{11}^{2} & G_{12}^{2}G_{21}^{2} & G_{22}^{2}end{matrix}right]right )$$

7.6.2. Numeric¶

Creation

Determinant, inverse, transpose

Math operations: Multiplication, addition, elementwise multiplication:

Jupyter Notebook is a great tool for data analysis. And one of its greatest features is that you can easily combine runnable code with rich-text annotations. Markdown cells that contain such annotations support both HTML and Markdown syntax.

Personally I prefer # Header (markdown syntax) to <h1>Header</h1> (HTML syntax) in my notebook’s cells as the former looks more human. So I use markdown syntax more often and a concise cheat sheet for Jupyter Notebook markdown is what I was missing for a long time. Yes, I’m aware of such comprehensive cheat sheets like this and this, they are great but too verbal and it’s hard to print them on one page to have it easily accessible.

Jupyter Notebook Tutorial

Eventually, I decided to gather all crucial points of the markdown syntax that are actual for Jupyter notebook and combine them in a concise cheat sheet that I present to you. It doesn’t explain much but should be useful if you simply forgot something. Click the picture to download the PDF version.

Jupyter Notebook Cheat Sheet

I didn’t get into the details of LaTeX syntax (see the penultimate cell in the cheat sheet with the square root of k) since it’s well described here (get ready, it’s a very long document) and you can even download a pretty good cheat sheet here.