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Category Archives: programming
The Coronavirus Curve – A simple simulator
Here is an implementation for a simple ODE simulation of the COVID-19 curve. The simulator runs based on a set of first order ordinary differential equations (ODEs). These equations are dependent and measure three values including the change in the … Continue reading
Posted in Linux, Machine Learning, programming, Python, Software, Statistics, Ubuntu
Tagged code, coronovirus, COVID, COVID-19, differential equation, example, infection, infection rate, matplotlib, numpy, ode, ordinary differential equation, prediction, programming, python, scipy, simulation, software, source code, transmission, transmission rate
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Extension of 2D Complex Exponential Formula to 3D Rotation
In our previous post, we used , where and are 2D vectors and the formula rotates vector by . This idea can be extended to 3D by converting the vectors to quaternions. Assume and . Also, we consider to be … Continue reading
Posted in Linux, Machine Learning, programming, Python, Robotics, Software, Ubuntu
Tagged 2D rotation, 3D rotation, code, easy, euler formula, euler rotation, exponential complex, math, mathematics, multiply, normal, numpy, pi, plane, programming, pyquaternion, python, quaternion, simple, source code, sourcecode, spatial, vector
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2D Vector Rotation using Complex Exponential
Complex exponential formula represents the relationship between a vector and the rotated version of that vector by as where . Example: Rotate vector by . Answer: which is a vector towards Y-axis (Im axis). In python, we can compute this … Continue reading
Posted in Machine Learning, programming, Python, Robotics, Software
Tagged 2D rotation, code, complex, complex exponential, e, easy, exp, exponential, i, imaginary, j, linux, math, mathematics, numpy, pi, python, python programming, quaternion, real, rotation matrix, rotation vector, sample, simple, source code, sourcecode, transformation, vector, vector rotation, windows
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What is Kronecker Product?
Kronecker Product is a generalization of the outer product of two arbitrary size matrices and results in a block matrix. and then Example: Python example using numpy
Posted in Linux, Machine Learning, Optimization, programming, Python, Software, Ubuntu
Tagged algebra, array, code, easy, explained, inner product, kronecker, kronecker product, math, mathematics, matrix, numpy, outer product, product, programming, python, sample, simple, source code, sourcecode, step-by-step, tutorial, windows
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Quaternions – Use them for Rotation and Transformation
This is the second tutorial on Quaternions. In the previous post, I explained how to use basics of quaternions from the pyquaternion python library. Check the previous post here. In this post, I will show you how to perform spatial … Continue reading
Posted in Linux, Machine Learning, programming, Python, Robotics, ROS, Software, Ubuntu
Tagged beginner, code, computer, easy, example, function, math, mathematics, matplotlib, matrix, numpy, programming, pyplot, pyquaternion, quaternion, rotation, sample, simple, software, source, source code, spatial rotation, spatial transformation, step by step, transformation, tutorial, vector, windows
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Quaternions – How to generate and operate them in Python?
Python Package There are several python libraries (modules) that you can install. Here, I am going to use pyquaternion Installation This package can be installed as follows pip install pyquaternion Usage After installing the package, use it as follows: Forming … Continue reading
Posted in Linux, Machine Learning, programming, Python, Robotics, ROS, Software, Ubuntu
Tagged 3d, 3D rotation, beginner, code, conjugate, conjugation, easy, example, inverse, inversion, magnitude, math, mathematics, matrix, norm, normalization, normalized, numpy, package, pyquaternion, python, quaternion, Robotics, rotation, sample, script, simple, spatial, spatial rotation, spatial transformation, step by step, transformation, tutorial, vector
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Run local jupyter notebook on a Pytorch container
Introduction When, I was learning Pytorch I had already two separate Python version (2.x and 3.x) together with a lot of packages installed on my machine and I did not want to risk messing up my laptop. So, I decided … Continue reading
Posted in Linux, Machine Learning, Neural Networks, programming, Python, Software, Ubuntu
Tagged bash, browser, connect, Container, container id, container stop, deep, deep neural networks, DNN, Docker, docker image, docker ps, docker rm, docker stop, docker with jupyter, Facebook, Fair, file, image, install, ipynb, ipython, issue, jupyter, linux, local, machine, macos, mathematics, neural networks, notebook, port, powershell, programming, python, Pytorch, root, setup, software, ssh, terminal, url, windows
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Generating a trajectory of quaternions between two given quaternions
First, check my previous post on slerp to learn how to interpolate between two quaternions. In this post, we make a function that uses the previously developed interpolation to generate points (quaternions) between and initial and a final quaternion namely, … Continue reading
Posted in control, Linux, Machine Learning, MATLAB, programming, Robotics, ROS, Software, Ubuntu, Uncategorized
Tagged code, end-effector, example, geometry, interpolate, lerp, linear interpolate, math, mathematics, Matlab, quaternion, robot, rotation, simple, slerp, source code, step by step, trajectory, tutorial
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Slerp: Spherical linear interpolation in quaternion space
in my previous post, I explained the simple Lerp method for calculating linear interpolation in the quaternion space. I also mentioned that while normalizing the output could help to get an optimized result, the velocity curve is not constant. To … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Robotics, ROS, Software, Ubuntu, Uncategorized
Tagged 3d, 4D, code, easy, example, geometry, interpolation, lerp, lie group, linear, math, mathematics, Matlab, orientation, quaternion, robot, Robotics, ROS, rotation, simple, slerp, source code, step by step, tutorial
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Compress files in MATLAB without other file compression software – Method 3, tar & untar
In the previous post and the post before that, I mentioned two methods for compressing and decompressing files directly in MATLAB using standard ZIP and GNU ZIP methods. In this folder, I demonstrate that we can make tar files using … Continue reading
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