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Mathematics

mathematics

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Classical number theories
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A small simulator for a 6 axis articulated robot
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Implementation of the Poisson Cumulative Distribution function for large Lambdas
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Using Venn diagrams to visualize sets.

Latest Articles

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A ray tracing project
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This blog entry shares a project that computes the band structure of a crystal having the diamond/zincblende structure, for various elements.
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In this post we introduce the Fourier Transform and hint about some of its usages.
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In this post I explore Lattice Boltzmann methods and build a related project

All Articles

Mathematics

31 May 2016
Classical number theories
7 Apr 2014
A small simulator for a 6 axis articulated robot
22 Jan 2017
A simple way to build a wide family of fractals
27 Nov 2017
An infinite set of biological shape fractals in the complex plain
16 May 2021
Showing the major stepping stones of the development of calculus and its precursors
14 Mar 2016
Case study on how to solve a complex problem by dividing it into smaller problems.
18 Aug 2014
Some suggestions of algorithms for solving the Pascal Triangle, addressing iterative, recursive and functional paradigms
31 May 2016
Semi-Prime Ordered Sequences (Part 2) is the follow-on to “Exploring Computational Number Theory (Part 1)” and describes a process for ordering the semi-prime base sequences.
31 Jul 2012
How to calculate a reverbration time in a room
12 Mar 2020
My C# implementation of linear algebra concepts (matrix elimination, multiplication, inverses, determinants, etc.)
22 Nov 2016
Using R to explore the complexity of time series generated by a simple process
2 Dec 2017
Library extending the .NET numeric support
26 Mar 2018
Factoring classic integers
21 Jan 2013
Beyond basic unit tests, how do you choose your tests and when are you done?
21 Jul 2014
This article show another way to implement generic operators. Vector is in middle of attention.
24 Aug 2014
Some suggestions of algorithms for computing the Fibonacci numbers addressing iterative, recursive and functional paradigms
1 May 2015
Today I am going to try to explain you how shaders in babylon.js work.
29 Jan 2018
Representing shapes, worlds, and integrating forces and velocities in a 2D physics engine
17 Oct 2016
For the first post in this series I’ll present a solution to the 1⁄0, or binary version of this famous problem I designed in 2015.
12 Nov 2018
Calculating the mass and inertia of a body and applying forces to it
18 Jan 2014
Application of abstract approach to database domain
14 Nov 2011
Elegant and pure Java matrix library
23 Oct 2014
Dense Motion Estimation based on Polynomial expansion IntroductionIn this article we will look at dense motion estimation based on polymonial repsentation of image.The polynomial basis representation of the image is obtained by approximating the local neighborhood of image us
13 Mar 2019
Testing point mass attraction and its deduced dimensions with Catch2
3 Nov 2016
Get Results with the Intel® Data Analytics Acceleration Library and the Latest Intel® Xeon Phi™ Processor
3 Apr 2019
Best practice for learning Basic of Machine Learning and Gradient Descent based on Linear Regression. This article will explain step by step computational matters.
3 Apr 2019
This article also has a practical example for the neural network. You read here what exactly happens in the human brain, while you review the artificial neuron network.
6 Mar 2016
The article presents idea and implementation of Fourier Transform (DFT and FFT algorithms) in Digital Signal Processing.
3 Feb 2015
Presentation and testing of some procedural bitmap creation algorithms .
3 Apr 2014
Using call stacks, rather than Regular Expression, to deconstruct mathematical formulae and calculate values.
25 Nov 2012
Running, Initializing and Training a Neural Network.
30 Aug 2017
An implementation of Bag-Of-Feature descriptor based on SIFT features using OpenCV and C++ for content based image retrieval applications.
13 Nov 2014
This article presents a Java example application that performs discrete wavelet transforms.
24 May 2017
Type quantities according to the units in which they are measured. A complete implementation of units of measurement as a data type for C++ 11.
1 Apr 2013
Exploiting JavaScript's weakly typed implicit data type conversions, the 52 bit mantissa and common bit hacks.
10 Dec 2013
18 Aug 2015
This is a HTML5 WebSocket service that streams live, real-time data to browser grid control. This service is capable of automatically computing math expressions on the fly (dynamically at runtime)
2 Oct 2010
A simple framework to perform morphology operations on binary images.
29 Jan 2018
An introduction to all the math required to get started on your own 2D physics engine
6 Nov 2014
Article presents the problem of the detection and cancelation of impulse noise in acoustic signals using an Exponentially Weighted Least Squares (EWLS) and next step error prediction analysis.
11 Jan 2017
Think algorithm...
18 Jun 2012
Applications of abstract math theories to practice
24 Oct 2016
The article shows implementation of fundamental algorithms in matrix and polynominal algebra
23 Dec 2015
Helper functions to deal with the individual bits & digits, hashing and other
20 Nov 2014
Generality and efficiency of a semigroup in C++ are achieved by using an augmented B+ tree. Basic and advanced applications of such a semigroup are discussed.
23 Jun 2014
Information on how to use UnitConversionLib in C# for changing units and quantities
30 Mar 2021
Matrix multiplication in C# and its usage for basic image transformations.
18 Jul 2014
Gerolamo Cardano published a method to solve a cubic equation in 1545. There is a description of this method on Wikipedia. But it is not too detailed and on the German Wikipedia. In fact, the last part is missing and without this part, one cannot implement it into an algorithm. So I thought I could
29 Jun 2015
2 Sep 2014
Iterative algorithms for computing approximations to the number PI through infinite series using double and arbitrary precision
27 Jan 2017
This short article provides a method of calculating nth binary palindrome using some math in C# code.
4 Jun 2014
The article depicts usage of functional programming for creating indefinite integral in form Func from delegate Func.
21 Jan 2014
A brief overview on mathematical implementations with programming language
5 Nov 2012
Learn the Secrets of the Universe
29 Jan 2018
The basics of spaces, transformations and bodies used in a 2D physics engine.
7 Mar 2015
This article presents a Java example application that performs continuous wavelet transforms.
11 Dec 2018
GO Package that encapsulates data and methods to calculate the main measures of a triangle
30 Apr 2012
How to convert a given decimal or double to a fraction in C#
1 Oct 2015
In this article I’ll cover the basics of numeric bases by examples on four bases - decimal, binary, hex and octal.