Python Math Cheat Sheet

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MATLAB–Python–Julia cheatsheet

Dependencies and Setup¶

Python Cheat Sheet for if statements and while loops Python Cheat Sheet for functions Python Cheat Sheet for classes. Basic Math Operator used in Python.
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In the Python code we assume that you have already run importnumpyasnp

In the Julia, we assume you are using v1.0.2 or later with Compat v1.3.0 or later and have run usingLinearAlgebra,Statistics,Compat

Creating Vectors¶

Operation	MATLAB	Python
Row vector: size (1, n)
Column vector: size (n, 1)
1d array: size (n, )	Not possible	or
Integers from j to n withstep size k
Linearly spaced vectorof k points

Creating Matrices¶

Operation	MATLAB	Python	Julia
Create a matrix
2 x 2 matrix of zeros
2 x 2 matrix of ones
2 x 2 identity matrix
Diagonal matrix
Uniform random numbers
Normal random numbers
Sparse Matrices
Tridiagonal Matrices

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Manipulating Vectors and Matrices¶

Operation	MATLAB	Python
Transpose
Complex conjugate transpose(Adjoint)
Concatenate horizontally	or	or
Concatenate vertically	or	or
Reshape (to 5 rows, 2 columns)
Convert matrix to vector
Flip left/right
Flip up/down
Repeat matrix (3 times in therow dimension, 4 times in thecolumn dimension)
Preallocating/Similar	N/A similar type
Broadcast a function over acollection/matrix/vector	Functions broadcast directly	Functions broadcast directly

Accessing Vector/Matrix Elements¶

Operation	MATLAB	Python	Julia
Access one element
Access specific rows
Access specific columns
Remove a row
Diagonals of matrix
Get dimensions of matrix

Mathematical Operations¶

Operation	MATLAB	Python
Dot product
Matrix multiplication
Inplace matrix multiplication	Not possible
Element-wise multiplication
Matrix to a power
Matrix to a power, elementwise
Inverse	or	or
Determinant
Eigenvalues and eigenvectors
Euclidean norm
Solve linear system(Ax=b) (when (A)is square)
Solve least squares problem(Ax=b) (when (A)is rectangular)

Sum / max / min¶

Python Math Cheat Sheet Pdf

Operation	MATLAB	Python	Julia
Sum / max / min ofeach column
Sum / max / min of each row
Sum / max / min ofentire matrix
Cumulative sum / max / minby row
Cumulative sum / max / minby column

Programming¶

Python Functions Cheat Sheet Pdf

Operation	MATLAB	Python	Julia
Comment one line
Comment block
For loop
While loop
If
If / else
Print text and variable
Function: anonymous
Function
Tuples	Can use cells but watch performance
Named Tuples/Anonymous Structures
Closures
Inplace Modification	No consistent or simple syntaxto achieve this