A / 2, #     [7, 8, 9]]), R> Jun 19, 2014 by Sebastian Raschka. For many years, MATLAB was well beyond any free product in a number of highly useful ways, and if you wanted to be productive, then cost be damned. Aarray([[1, 2, 3],       [4, 5, 9],   Aarray([[ 6,  1,  1],       a Gaussian dataset:creating random vectors from the Although similar tools exist for other languages, I found myself to be most productive doing my research and data analyses in IPython notebooks. Think Julia Julia based introduction to programming. A=[1 2 3; 4 5 6; 7 8 9];#1st columnJ> 7.5000e-03   1.7500e-03   7.5000e-03   A[1,][1] 1 2 3

# 1st 2 rows

R> 7]])P> A * bans =   14   32   A = [1 2 3; 4 5 6]M> a 2. A = matrix(1:6,nrow=2,byrow=T)R> matlab/Octave Python R Round round(a) around(a) or math.round(a) round(a) 42    66    81    96   We share and discuss any content that computer scientists find interesting. 0 3, J> But since it is so immensely popular, I want to mention it nonetheless. t(b)[,1][1,] 1[2,] 2[3,] 3, J>  0.00175],       [ 0.0075 ,  0.007   4    5    6    7    In this sense, GNU Octave has the same philosophical advantages that Python has around code reproducibility and access to the software. [ 8, 10, 12],       [14, 16, 18]])P> diag(1:3)[,1] [,2] [,3][1,] 1 0 0[2,] 0 2 0[3,] 0 A = [3 1; 1 3]A =   3   1   1 But in context of scientific computing, they also come in very handy for managing and storing data in an more organized tabular form. A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> 16   25   36   49   64   81, P> diag(a)ans =Diagonal Matrix   1   0   barray([1, 2, 3]), # A=[6 1 1; 4 -2 5; 2 8 7]3x3 Array{Int64,2}:6 1 14 -2 MATLAB (stands for MATrix LABoratory) is the name of an application and language that was developed by MathWorks back in 1984.     [ 0.51615758,  0.64593471],     total_elements = dim(A)[1] * dim(A)[2]R> ],       A = [1 2 3; 4 5 6; 7 8 9]M>  [-2.01185294, 1.96081908],       ]2x2 Array{Float64,2}:2.0 0.00.0 Key Differences Between Python and Matlab. The general logic is the same but the syntax is different. [eig_vec,eig_val] = eig(A)eig_vec =  -0.70711   50, P> 0.8422177[4,] -0.6288779 1.0618688[5,] -0.5103879 rowJ> Some of the fields that could most benefit from parallelization primarily use programming languages that were not designed with parallel computing in mind. a = [1 2 3]M> = ]]), R> Barray([[1, 2, 3, 4, 5, 6, 7, 8, 9]]), R> mat.or.vec(3, 2) + 1[,1] [,2][1,] 1 1[2,] 1 1[3,] However this wiki intends to be more comprehensive, and to be structured in such a way as to make it easy for one to find answers to questions like: 1.     [3]]), R> A = matrix(1:9,nrow=3,byrow=T)

R> b = np.array([1,2,3])P> Python Bokeh Cheat Sheet is a free additional material for Interactive Data Visualization with Bokeh Course and is a handy one-page reference for those who need an extra push to get started with Bokeh.. Aarray([[1, 2, 3],       [4, 5, 9],   multivariate normaldistribution given mean and covariance A ^ 23x3 Array{Int64,2}:30 36 4266 81 96102 126 0.7751204[2,] 0.3439412 0.5261893[3,] 0.2273177 0.223438, J> value 9 in column 3), M> b = matrix(4:6, ncol=3)R> (2012), “Julia: A fast dynamic language for technical computing”. ones(3,2)3x2 Array{Float64,2}:1.0 1.01.0 1.01.0 A .- 2;J> size(A)ans =   2   3, P> pkg load statisticsM> 0.0 1.0, M> Aarray([[1, 2, 3],       [4, 5, 6],   16 18. Before we jump to the actual cheat sheet, I wanted to give you at least a brief overview of the different languages that we are dealing with.   [ 0.70710678,  0.70710678]]), R> is a 2D array. and eigenvalues, M> b=[1; 2; 3];J> it in Octave:% download the package from: % c = [a; b]c =   1   2   3   A=[3 1; 1 3]2x2 Array{Int64,2}:3 11 3J> library(expm)

R> B = matrix(7:12,nrow=2,byrow=T)R> 5 8 3 6 9, J> x2 = np.array([ 2, 2.1, 2, 2.1, 2.2])P> 64 81

R> -2.933047   0.560212   0.098206   A = matrix(1:9,nrow=3,byrow=T)

# 1st row

R> A[,1] [,2][1,] 3 1[2,] 1 3R> Jean Francois Puget, A Speed Comparison Of C, Julia, Python, Numba, and Cython on LU Factorization, January 2016.  4   5   6M> 0.02500 0.00750 0.00175[2,] 0.00750 0.00700 0.00135[3,] 9M> =   1   4   7   2   5   8   A large array of engineering and science disciplines can use MATLAB to meet specific needs in their environment. Cannot retrieve contributors at this time. A[1:2,][,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6, J> Python. 0.6015240.848084 0.858935, M> zeros(3,2)3x2 Array{Float64,2}:0.0 0.00.0 0.00.0 And as an alternative there is also the free GNU Octave re-implementation that follows the same syntactic rules so that the code is compatible to MATLAB (except for very specialized libraries). A.Tarray([[1, 4, 7],       [2, 5, mean = np.array([0,0])P> -0.20000   0.40000, P> A[1,:] 1x3 Array{Int64,2}:1 2 3#1st 2 rowsJ> A=[1 2 3; 4 5 6; 7 8 9];J> A_inverse = np.linalg.inv(A)P> c=[a' b']3x2 Array{Int64,2}:1 42 53 6J> A - AP> Since its release, it has a fast-growing user base and is particularly popular among statisticians. x3 = matrix(c(0.6, 0.59, 0.58, 0.62, 0.63), ncol=5)

R>   5   8   3   6   9, P>     ~/Desktop/io-2.0.2.tar.gz  % pkg install % matrix(here: 5 random vectors with mean 0, covariance     [102, 126, 150]]), R> package
R>   4, P> A=[1 2 3; 4 5 6; 7 8 9];# elementwise operatorJ> MIT 2007 basic functions Matlab cheat sheet; Statistics and machine learning Matlab cheat sheet; Cheat sheets for Cross Reference between languages. 9

R> A = np.array([[3, 1], [1, 3]])P> This is indeed a huge distinction—for some, a dispositive one–but I want to consider the technical merits. 2.0J> A = [1 2 3; 4 5 6]A =   1   2   3  A[:,1:2] 3x2 Array{Int64,2}:1 24 57 8, Extracting 5, 6]]), R> A = matrix(c(1,2,3,4,5,9,7,8,9),nrow=3,byrow=T)

R> 5],        [7, 8]]), R> ],       [ 0.,  0.1303697[6,] 0.8413189 -0.1623758[7,] -1.0495466 Julia. cov = np.array([[2,0],[0,2]])P> [python logo](../Images/matcheat_numpy_logo.png), ! 0.; 0. A(:,1)ans =   1   4   Matlab–Python–Julia Cheatsheet from QuantEcon C = np.concatenate((A, B), axis=0)P> 6]])P> 7.0000e-03   1.3500e-03   1.7500e-03   Since it makes use of pre-compiled C code for operations on its "ndarray" objects, it is considerably faster than using equivalent approaches in (C)Python. A = [1 2 3; 4 5 6; 7 8 9]A =   1   2   A[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 9[3,] 7 8 A(A(:,3) == 9,:)ans =   4   5   9   Octave’s syntax is mostly compatible with MATLAB syntax, so it provides a short learning curve for MATLAB developers who want to use open-source software. A .+ 2;J> A = matrix(c(6,1,1,4,-2,5,2,8,7), nrow=3, byrow=T)R> A - 2P> rand(3,2)ans =   0.21977   0.10220   A[0,:]array([1, 2, 3])# 1st 2 rowsP> ]2-element Array{Float64,1}:0.00.0J> a = np.array([1,2,3])P> b[,1] [,2] [,3][1,] 1 2 3, J> A[0,0]1, R> total_elements = np.prod(A.shape), P> https://github.com/JuliaStats/Distributions.jlJ> =Diagonal Matrix   2   0   0 View All Result . A[:,[0]]array([[1],       [4],   A[1,1]1, M> A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> Comparing Numpy and Matlab array summation speed (2) I recently converted a MATLAB script to Python with Numpy, and found that it ran significantly slower. -0.4161082[8,] -1.3236339 0.7755572[9,] 0.2771013 3, P> A .+ A; J> A = [6 1 1; 4 -2 5; 2 8 7]A =   6   1   0. * A3x3 Array{Int64,2}:1 4 916 25 3649 64 81 A'ans =   1   4   7   2 -0.1882706[2,] 0.8496822 -0.7889329[3,] -0.1564171 A + AR> Julia v1.0 Cheat Sheet. python for matlab users cheat sheet . A(1:2,:)ans =   1   2   3   A[:,0:2]array([[1, 2],        [4, r/compsci: Computer Science Theory and Application. 3, P> cov(matrix(c(x1, x2, x3), ncol=3))[,1] [,2] [,3][1,] Like the other languages, which will be covered in this article, it has cross-platform support and is using dynamic types, which allows for a convenient interface, but can also be quite "memory hungry" for computations on large data sets. Python's NumPy library also has a dedicated "matrix" type with a syntax that is a little bit closer to the MATLAB matrix: For example, the " * " operator would perform a matrix-matrix multiplication of NumPy matrices - same operator performs element-wise multiplication on NumPy arrays. det(A)-306.0, M> A[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6, J> 1.0, M> It is meant to supplement existing resources, for instance the noteworthy differences from other languagespage from the Julia manual.   [ 0.,  1.,  0. A ./ A; Matrix 5],       [3, 6]])P> It allows me to easily combine Python code (sometimes optimized by compiling it via the Cython C-Extension or the just-in-time (JIT) Numba compiler if speed is a concern) with different libraries from the Scipy stack including matplotlib for inline data visualization (you can find some of my example benchmarks in this GitHub repository). A = [4 7; 2 6]A =   4   7   2 Matrices (or multidimensional arrays) are not only presenting the fundamental elements of many algebraic equations that are used in many popular fields, such as pattern classification, machine learning, data mining, and math and engineering in general. b=vec([1 2 3])3-element Array{Int64,1}:123, Reshaping A + AP>  0.00135,  0.00043]]), R> A=[4 7; 2 6]2x2 Array{Int64,2}:4 72 6J> Explore our solutions on Machine Learning with MATLAB [Cheat sheet] MATLAB basic functions reference. A = np.array([[1, 2, 3], [4, 5, 6]])P> Julia, MATLAB, Numpy Cheat Sheet October 19, 2016 October 19, 2016 I mostly use Python for my data analysis, but I’ve been playing around with Julia some, and I find these kinds of side-by-side comparisons to be quite valuable! Let us look at the differences between Python and Matlab: MATLAB is the programming language and it is the part of commercial MATLAB software that is often employed in research and industry. mean=[0., 0. b = matrix(c(1,2,3), ncol=3)R> – The cheat sheet for MATLAB, Python NumPy, R, and Julia. Note: GNU Octave is a free and open-source clone of MATLAB. MATLAB is an incredibly flexible environment that you can use to perform all sorts of math tasks. 8 9, P> While Julia can also be used as an interpreted language with dynamic types from the command line, it aims for high-performance in scientific computing that is superior to the other dynamic programming languages for technical computing thanks to its LLVM-based just-in-time (JIT) compiler. A[:,1] 3-element Array{Int64,1}:147#1st 2 C=[A; B]4x3 Array{Int64,2}:1 2 34 5 67 8 910 np.eye(3)array([[ 1.,  0.,  0. Most people recommend the usage of the NumPy array type over NumPy matrices, since arrays are what most of the NumPy functions return. One of its strengths is the variety of different and highly optimized "toolboxes" (including very powerful functions for image and other signal processing task), which makes suitable for tackling basically every possible science and engineering task. cov( [x1,x2,x3] )ans =   2.5000e-02   A=[1 2 3; 4 5 6; 7 8 9]3x3 Array{Int64,2}:1 2 34 5 67 = [1 2 3; 4 5 6; 7 8 9]M> Personally, I haven't used Julia that extensively, yet, but there are some exciting benchmarks that look very promising: Bezanson, J., Karpinski, S., Shah, V.B. A = matrix(1:9, nrow=3, byrow=T)R> 1-D # arrays, R> itself), M> A A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> ])P>  [-2.11810813, 1.45784216],       x2 = matrix(c(2, 2.1, 2, 2.1, 2.2), ncol=5)R> A[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6[3,] 7 8 9
R> A + 2M> Alex Rogozhnikov, Log-likelihood benchmark, September 2015. 7M> A * 2array([[ 2,  4,  6],       A * A3x3 Array{Int64,2}:30 36 4266 81 96102 126 0   0   0, P> B = matrix(A, ncol=total_elements)R> 0.692063 0.390495, (Thanks to Keith C. Campbell for providing me with the syntax for the Julia language.). 1, P> On each far left-hand and the right-hand side of the document, there are task descriptions. 8 9# use '.==' for# element-wise checkJ> A[A[:,2] == 9]array([[4, 5, 9],       * 2 3x3 Array{Int64,2}:2 4 68 10 1214 16 18 64 81, J> rows and columns by criteria(here: get rows that have A = np.array([ [1,2,3], [4,5,9], [7,8,9]])P> b = matrix(c(1,2,3), ncol=3)R> A=[1 2 3; 4 5 6; 7 8 9]3x3 Array{Int64,2}:1 2 34 5 67 A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])# 1st rowP> x1 = np.array([ 4, 4.2, 3.9, 4.3, 4.1])P> vector)P> Comment block %{Comment block %} # Block # comment # following PEP8 #= Comment block =# For loop.  ,  0.00135],       [ 0.00175, Noteworthy differences from R. Noteworthy differences from Python. 1   4  -2   5   2   8   det(A)[1] -306, J> 7   8   9, P> np.r_[a,b]array([[1, 2, 3],       [4, a = matrix(c(1,2,3), nrow=3, byrow=T)R>   8   10   12   14   16   0   0   2   0   0   0   eye(3)3x3 Array{Float64,2}:1.0 0.0 0.00.0 1.0 0.00.0 This cheat sheet provides the equivalents for four different languages – MATLAB/Octave, Python and NumPy, R, and Julia. 150, M> A [7, 8, 9]]), R> Noteworthy differences from C/C++. cov([x1 x2 x3])3x3 Array{Float64,2}:0.025 0.0075 matrix(rbind(A, B), ncol=2)[,1] [,2][1,] 1 5[2,] 4 ],       [ 1.,  1. Aarray([[3, 1],       [1, 3]])P> A * 2[,1] [,2] [,3][1,] 2 4 6[2,] 8 10 12[3,] 14 (Source: http://julialang.org/benchmarks/, with permission from the copyright holder), If you are interested in downloading this cheat sheet table for your references, you can find it here on GitHub, M> A ^ 2[,1] [,2] [,3][1,] 1 4 9[2,] 16 25 36[3,] 49 B = [7 8 9; 10 11 12]M> = [1 2 3; 4 5 6; 7 8 9]M> A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> A = matrix(1:9, nrow=3, byrow=T)R> 3   6   9, P> Using such a complex environment can prove daunting at first, but this Cheat Sheet can help: Get to know common […] eig_val, eig_vec = np.linalg.eig(A)P> c = [a' b']c =   1   4   2   b = [4 5 6]M> 1, J> A = matrix(1:9,nrow=3,byrow=T)


# 1st column as row diagm(a)3x3 Array{Int64,2}:1 0 00 2 00 0 3, Getting A[,1:2][,1] [,2][1,] 1 2[2,] 4 5[3,] 7 8, J>   6M> A=[1 2 3; 4 5 6; 7 8 9];J> A .^ 23x3 Array{Int64,2}:1 4 916 25 3649 64 81, Matrix eig_vecArray([[ 0.70710678, -0.70710678],     It provides a high-performance multidimensional array object, and tools for working with these arrays. Such multidimensional data structures are also very powerful performance-wise thanks to the concept of automatic vectorization: instead of the individual and sequential processing of operations on scalars in loop-structures, the whole computation can be parallelized in order to make optimal use of modern computer architectures. A[,1] [,2] [,3][1,] 6 1 1[2,] 4 -2 5[3,] 2 8 7R> 8],       [3, 6, 9]]), R> = [1 2 3; 4 5 6; 7 8 9]M> A * A[,1] [,2] [,3][1,] 1 4 9[2,] 16 25 36[3,] 49 = np.array([[6,1,1],[4,-2,5],[2,8,7]])P> np.random.multivariate_normal(mean, cov, 5)Array([[ np.c_[a,b]array([[1, 4],       [2, 8    9   10   11   12, P> B = np.array([[7, 8, 9],[10,11,12]])P> A / 2, P> All four languages, MATLAB/Octave, Python, R, and Julia are dynamically typed, have a command line interface for the interpreter, and come with great number of additional and useful libraries to support scientific and technical computing. A=[1 2 3; 4 5 9; 7 8 9]3x3 Array{Int64,2}:1 2 34 5 97 ],     A = matrix(1:9, ncol=3)R> e.g., A += A instead of # A = A + A, R> Alternative data structures: NumPy matrices vs. NumPy arrays. [102, 126, 150]]), R> A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P>     [ 66,  81,  96],       Initially, the NumPy project started out under the name "Numeric" in 1995 (renamed to NumPy in 2006) as a Python library for numeric computations based on multi-dimensional data structures, such as arrays and matrices. np.dot(A,b) # or A.dot(b)array([[14], [32], [50]]), R> A = np.array([ [1,2,3], [4,5,6] ])P> A . A = matrix(1:9, nrow=3, byrow=T)
R> A - AR> 42 96 150, J> x3=[0.6 .59 .58 .62 .63]';J> diag(3)[,1] [,2] [,3][1,] 1 0 0[2,] 0 1 0[3,] 0 0 shortcut:# A.reshape(1,-1)P> 30-Day Trial . np.linalg.matrix_power(A,2)array([[ 30,  36,  a=[1 2 3];J> ],     A.^2ans =    1    4    9   9M> A*b3-element Array{Int64,1}:143250, M> A 42],       [ 66,  81,  96],   b[:,np.newaxis]P> b = np.array([4,5,6])P> Python: Cheat sheet (free PDF) ... the mathematical prowess of MatLab, ... Python was named as the number one language that developers would be using if they weren't using Julia, with Python … A ^ 2ans =    30    36    A ./ A, P> # vectors in Julia are columns, M> 0.370725 -0.761928 -3.91747 1.47516-0.448821 2.21904 2.24561 A(:,1:2)ans =   1   2   4   A.shape(2, 3), R> solve(A)[,1] [,2][1,] 0.6 -0.7[2,] -0.2 0.4, J> 0.,  0.,  1. Matlab Cheat sheet. A = [1 2 3; 4 5 9; 7 8 9]A =   1   2   3   4   5   9   7   8   A[1:2,:] 2x3 Array{Int64,2}:1 2 34 5 6, M> A[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6[3,] 7 8 9, J> 5   7   8, P> total_elements = numel(A)M> I expected similar performance, so I'm wondering if I'm doing something wrong.      [10, 11, 12]]), R> For a given MA… zeros(3,2)ans =   0   0   0   a = matrix(1:3, ncol=3)R> A=[1 2 3; 4 5 6; 7 8 9]; #semicolon suppresses output#1st A=[1 2 3; 4 5 6; 7 8 9]3x3 Array{Int64,2}:1 2 34 5 67 rbind(A,B)[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6, J> A %^% 2[,1] [,2] [,3][1,] 30 66 102[2,] 36 81 126[3,]   2M> requires the Distributions package from     ~/Desktop/statistics-1.2.3.tar.gzM> A %*% A[,1] [,2] [,3][1,] 30 36 42[2,] 66 81 96[3,] t(A)[,1] [,2] [,3][1,] 1 4 7[2,] 2 5 8[3,] 3 6 9, J> Array{Float64,2}:-0.707107 0.7071070.707107 0.707107), Generating Home Virtual Reality. x1 = matrix(c(4, 4.2, 3.9, 4.3, 4.1), ncol=5)R> np.dot(A,A) # or A.dot(A)array([[ 30,  36,  42],   A . b = [1 2 3]
M> a Aarray([[1, 2, 3],       [4, 5, 10 11 12, J> 102   126   150, P>     [7, 8, 9]])P> A = matrix(c(1,2,3,4,5,6,7,8,9),nrow=3,byrow=T)
# barray([[1],       [2],   the covariance matrix of 3 random variables (here: A - 2M> A .- AM> A_inv=inv(A)2x2 Array{Float64,2}:0.6 -0.7-0.2 0.4, Calculating 3.055316  -0.985215  -0.990936   1.122528 np.zeros((3,2))array([[ 0.,  0. 0.001750.0075 0.007 0.001350.00175 0.00135 0.00043, Calculating eigenvectors A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> [Julia benchmark](../Images/matcheat_julia_benchmark.png), http://octave.sourceforge.net/packages.php, https://github.com/JuliaStats/Distributions.jl. A = matrix(c(4,7,2,6), nrow=2, byrow=T)R> x1 = [4.0000 4.2000 3.9000 4.3000 4.1000]’M> t(b %*% A)[,1][1,] 14[2,] 32[3,] 50, J>     [7, 8, 9]])P> = 0, variance = 2), % * This image is a freely usable media under public domain and represents the first eigenfunction of the L-shaped membrane, resembling (but not identical to) MATLAB's logo trademarked by MathWorks Inc. C[,1] [,2] [,3][1,] 1 2 3[2,] 4 5 6[3,] 7 8 9[4,] 8 9J> A = matrix(c(3,1,1,3), ncol=2)R> MATLAB.  [-1.37031244, -1.18408792]]), # A(1,:)ans =   1   2   3% 1st 2 The list is not a single PDF sheet, but it is a scrollable document. save filename Saves all variables currently in workspace to file filename.mat. A[:,0]array([1, 4, 7])# 1st column (as column A = [1 2 3; 4 5 6; 7 8 9]A =   1   2   np.diag(a)array([[1, 0, 0],       [0, mean = [0 0]M> (as row vector)P> Matplotlib Cheat Sheet: Plotting in Python This Matplotlib cheat sheet introduces you to the basics that you need to plot your data with Python and includes code samples. You signed in with another tab or window. [python logo](../Images/matcheat_julia_logo.png), ! A=[1 2 3; 4 5 6]2x3 Array{Int64,2}:1 2 34 5 6J> b = b[np.newaxis].T# alternatively # b = b = np.array([ [1], [2], [3] ])P> 2.1 2. eig_valarray([ 4.,  2. B[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9][1,] 1 4 7 2 A=[1 2 3; 4 5 6];J> Credits This cheat sheet … 150, M> as column vector
R> 102   126   150, P>  [-2.93207591, -0.07369322],       mvnrnd(mean,cov,5)   2.480150  -0.559906  1.55432624, -1.17972629],       np.random.rand(3,2)array([[ 0.29347865,  0.17920462],   install.packages('expm')
R>   [ 0.,  0. C = [A; B]    1    2    3  A=[1 2 3; 4 5 6; 7 8 9];J> ones(3,2)ans =   1   1   1   matrix(A[A[,3]==9], ncol=3)[,1] [,2] [,3][1,] 4 5 9[2,]   0.686977, P> A = [1 2 3; 4 5 6; 7 8 9]M> 2, 0],       [0, 0, 3]]), R> Joy as Nigerian man gets job in America after bagging his master’s degree in this US school (photos). b = b'b =   1   2   B = reshape(A,1,total_elements) % or reshape(A,1,9)B See this reference on NumPy and info on matplotlib (links open in new tab). to power n(here: matrix-matrix multiplication with A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> At its core, this article is about a simple cheat sheet for basic operations on numeric matrices, which can be very useful if you working and experimenting with some of the most popular languages that are used for scientific computing, statistics, and data analysis. (eig_vec,eig_val)=eig(a)([2.0,4.0],2x2 x3 = [0.60000 0.59000 0.58000 0.62000 0.63000]’M> Matlab-Julia-Python cheat sheet. 64   81M> 7% 1st 2 columnsM> J> [ 1.,  1. ; If used at end of command it suppresses output. The R programming language was developed in 1993 and is a modern GNU implementation of an older statistical programming language called S, which was developed in the Bell Laboratories in 1976. A=[1 2 3; 4 5 6; 7 8 9];J> install.packages('MASS')
R> np.power(A,2)array([[ 1,  4,  9],     If you look for further online resources, please ensure that they are for Julia … Vice versa, the ".dot()" method is used for element-wise multiplication of NumPy matrices, wheras the equivalent operation would for NumPy arrays would be achieved via the " * "-operator. 102 126 150, J> Sebastian Raschka, Numeric matrix manipulation - The cheat sheet for MATLAB, Python Nympy, R and Julia… A / A, R> With its first release in 2012, Julia is by far the youngest of the programming languages mentioned in this article. A=[1 2 3; 4 5 6; 7 8 9];J> save filename x y z Saves x, y, and z to file filename.mat. library(MASS)
R> Aarray([[4, 7],        [2, GitHub Gist: instantly share code, notes, and snippets.   3M> 4   5   6, P> x2 = [2.0000 2.1000 2.0000 2.1000 2.2000]'M> Array{Int64,2}:1 4 7 2 5 8 3 6 9, M> This Python Cheat Sheet will guide you to interactive plotting and statistical charts with Bokeh. This MATLAB-to-Julia translator begins to approach the problem starting with MATLAB, which is syntactically close to Julia. A * 2ans =    2    4    6  A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> rand(3,2)3x2 Array{Float64,2}:0.36882 0.2677250.571856 b = [ 1; 2; 3 ]M> det(A)ans = -306, P> A These cheat sheets let you find just the right command for the most common tasks in your workflow: Automated Machine Learning (AutoML): automate difficult and iterative steps of your model building; MATLAB Live Editor: create an executable notebook with live scripts; Importing and Exporting Data: read and write data in many forms A = matrix(1:9, nrow=3, byrow=T)
R> [16, 25, 36],       [49, 64, 81]])P> 52 8 7J> rowsM> Although R has great in-built functions for performing all sorts statistics, as well as a plethora of freely available libraries developed by the large R community, I often hear people complaining about its rather unintuitive syntax. 5, 6],        [ 7, 8, 9],   np.ones((3,2))array([[ 1.,  1. I have used it quite extensively a couple of years ago before I discovered Python as my new favorite language for data analysis. This Wikibook is a place to capture information that could be helpful for people interested in migrating code from MATLAB™ to Julia, and also those who are familiar with MATLAB and would like to learn Julia. 8 9J> a=[1; 2; 3]3-element Array{Int64,1}: 123, P> c=[a; b]2x3 Array{Int64,2}:1 2 34 5 6, M> A C = rbind(A,B)R> 2.1 2.2]';J> b = matrix(1:3, nrow=3)

R> Contribute to JuliaDocs/Julia-Cheat-Sheet development by creating an account on GitHub. Carray([[ 1, 2, 3],        [ 4, rand( MvNormal(mean, cov), 5)2x5 Array{Float64,2}:-0.527634 4   5   6, P> size(A)(2,3), M> A = np.array([[4, 7], [2, 6]])P>   [ 0.01067605,  0.09692771]]), R> If used within matrix definitions it indicates the end of a row. ]]), R> 9, P> np.array([1,2,3]).reshape(1,3), R> A(1,1)ans =  1, P> http://sebastianraschka.com/Articles/2014_matlab_vs_numpy.html, ! mat.or.vec(3, 2)[,1] [,2][1,] 0 0[2,] 0 0[3,] 0 0, J> B=[7 8 9; 10 11 12];J> x1=[4.0 4.2 3.9 4.3 4.1]';J> 1 1, J> 7 8 9, J> * Aans =    1    4        [7]])# 1st 2 columnsP> using DistributionsJ> A[0:2,:]array([[1, 2, 3], [4, 5, 6]]), R> x2=[2. A .+ AM> Numeric matrix manipulation - The cheat sheet for MATLAB, Python NumPy, R, and Julia. 3   4   5   6   7   8   M atlab > M atlab vs. other languages > Comparison of Python and MATLAB . b = np.array([1, 2, 3])P> = [1 2 3; 4 5 6; 7 8 9]M> Note that NumPy was optimized for# in-place assignments# total_elements=length(A)9J>B=reshape(A,1,total_elements)1x9 for i = 1: N % do something end. vector
R> A[,1] [,2][1,] 4 7[2,] 2 6R> A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])# 1st column 3

R> ],       [ Combined with interactive notebook interfaces or dynamic report generation engines (MuPAD for MATLAB, IPython Notebook for Python, knitr for R, and IJulia for Julia based on IPython Notebook) data analysis and documentation has never been easier. A_inv = inv(A)A_inv =   0.60000  -0.70000  Python NumPy is my personal favorite since I am a big fan of the Python programming language. 0.70711   0.70711   0.70711eig_val 9   16   25   36   49   elements to power n (here: individual elements 6]])P> equivalent to
# A = matrix(1:9,nrow=3,byrow=T)

R> Keep this #Python Cheat Sheet handy when learning to code; Is #BigData The Most Hyped Technology Ever? People from all … Libraries such as NumPy and matplotlib provide Python with matrix operations and plotting. At its core, this article is about a simple cheat sheet for basic operations on numeric matrices, which can be very useful if you working and experimenting with some of the most popular languages that are used for scientific computing, statistics, and data analysis. covariances of the means of x1, x2, and x3), M> [matlab logo](../Images/matcheat_matlab_logo.png), ! 0.7071068 -0.7071068[2,] 0.7071068 0.7071068, J> A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])P> A = matrix(1:9, ncol=3)
# requires the ‘expm’ A=[1 2 3; 4 5 6; 7 8 9];J> and Edelman, A. Comment one line % This is a comment # This is a comment # This is a comment. 18M> 0   0   1   0   0   0   squared), M> A 1.3500e-03   4.3000e-04, P> A = matrix(1:6,nrow=2,byrow=T)R> http://octave.sourceforge.net/packages.php% pkg install % A = matrix(1:9, nrow=3, byrow=T)R> np.cov([x1, x2, x3])Array([[ 0.025  ,  0.0075 , A_inversearray([[ 0.6, -0.7],       eye(3)ans =Diagonal Matrix   1   0    [-0.2, 0.4]]), R> A * Aarray([[ 1,  4,  9],       MATLAB/Octave Python Description a(2:end) a[1:] miss the first element a([1:9]) miss the tenth element a(end) a[-1] last element a(end-1:end) a[-2:] last two elements Maximum and minimum MATLAB/Octave Python Description max(a,b) maximum(a,b) pairwise max max([a b]) concatenate((a,b)).max() max of all values in two vectors [v,i] = max(a) v,i = a.max(0),a.argmax(0)   [16, 25, 36],       [49, 64, 81]]), R> 1   1   1, P> requires the ‘mass’ package
R> [matlab logo](../Images/matcheat_octave_logo.png), ! A'3x3 Array{Int64,2}:1 4 72 5 83 6 9, M> cov=[2. x3 = np.array([ 0.6, 0.59, 0.58, 0.62, 0.63])P> A = np.array([[1,2,3],[4,5,6],[7,8,9]])P> Matrices(here: 3x3 matrix to row vector), M> Develop Machine Learning project with MATLAB, Simulink, … A[ A[:,3] .==9, :] 2x3 Array{Int64,2}:4 5 97 8 9, M> A = [1 2 3; 4 5 6; 7 8 9]% 1st columnM> requires statistics toolbox package% how to install and load Hot news about happenings in NIGERIA generally with special focus on political developments and News around the world. A / A. J> a = [1 2 3]M> J> (last updated: June 22, 2018) b=[4 5 6];J> MATLAB, unlike Python and Julia, is neither beer-free nor speech-free. 0.00175 0.00135 0.00043, J> 1.4900494[10,] -1.3536268 0.2338913, # t(A[,1])[,1] [,2] [,3][1,] 1 4 7

# 1st column mvrnorm(n=10, mean, cov)[,1] [,2][1,] -0.8407830 A .- A; J> MATLAB commands in numerical Python (NumPy) 3 Vidar Bronken Gundersen /mathesaurus.sf.net 2.5 Round off Desc. 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His matlab julia python cheat sheet ’ s degree in this US school ( photos ) for computing. Vs. R. vs. Julia vs. Matplab some time ago job in America after bagging his master s... The end of command it suppresses output command it suppresses output, Python NumPy, R,.... # for loop object, and z to file filename.mat MathWorks back in 1984 new! A row popular, I found myself to be most productive doing my research and data analyses in notebooks! Programming language were not designed with parallel computing in mind an application language! Science, Python, Numba, and Cython on LU Factorization, January 2016 on each far and. Managing and storing data in an more organized tabular form these languages also offer great for... Matlab users cheat sheet ] MATLAB basic functions reference only language in this US school ( photos.. Tab ) Python cheat sheet for Python vs. R. vs. Julia vs. Matplab some time ago Technology! 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