Simple Python Debugging with Pdb: Part 1
I’m pretty new with Python, so I was looking around for some debugging tools. At first I dismissed Pdb (Python debugger) as being too primitive, but after seeing a blog post about using Pdb, I decided...
View ArticleSolving Homogeneous Linear ODEs using Annihilators
In this Insights article we’ll look at a limited class of ordinary differential equations — homogeneous linear ODES with constant coefficients. Although there are many differential equations that are...
View ArticleSolving Nonhomogeneous Linear ODEs using Annihilators
My previous Insights article, Solving Homogeneous Linear ODEs using Annihilators, discussed several examples of homogeneous differential equations, equations of the form F(y, y’, y”, …) = 0. In this...
View ArticlePartial Fractions Decomposition
Partial fractions decomposition is an algebraic technique that can be used to decompose (break down) a product of rational expressions into a sum of simpler rational expressions. A rational expression...
View ArticleWhat Are Eigenvectors and Eigenvalues?
Two important concepts in Linear Algebra are eigenvectors and eigenvalues for a linear transformation that is represented by a square matrix. Besides being useful in mathematics for solving systems of...
View ArticleWhy Can’t My Computer Do Simple Arithmetic?
The first computer I owned was an Apple IIe computer, with a CPU that ran at slightly over 1 Megahertz (MHz), and with 64 Kilobytes (KB) of RAM, together with two 5 1/4″ floppy drives that could each...
View ArticleAn Intro to AVX-512 Assembly Programming
History In 1998, the Intel Corporation released processors that supported SIMD (single instruction, multiple data) instructions, enabling processors to carry out multiple arithmetic operations using...
View ArticleAVX-512 Assembly Programming: Opmask Registers for Conditional Arithmetic
This is the second installment in a continuing series of articles on Intel AVX-512 assembly programming. The first installment is An Intro to AVX-512 Assembly Programming. Problem If you have an array...
View ArticleAVX-512 Assembly Programming: Opmask Registers for Conditional Arithmetic...
In the first part of this article (AVX-512 Assembly Programing – Opmask Registers for Conditional Arithmetic), we looked at how opmask registers can be used to perform conditional arithmetic. That...
View ArticleAVX-512 Programming: Extracting Column Subtotals from a Table
In this Insights article I’ll present an example that shows how Intel® AVX-512 instructions can be used to read a whole row of data in a single operation, and then generate subtotals for some or all of...
View ArticlePython’s Sympy Module and the Cayley-Hamilton Theorem
Two of my favorite areas of study are linear algebra and computer programming. In this article I combine these areas by using Python to confirm that a given matrix satisfies the Cayley-Hamilton...
View ArticleParallel Programming on an NVIDIA GPU
This article is the first of a two-part series that presents two distinctly different approaches to parallel programming. In the two articles, I use different approaches to solve the same problem:...
View ArticleParallel Programming on a CPU with AVX-512
This article is the second of a two-part series that presents two distinctly different approaches to parallel programming. In the two articles, I use different approaches to solve the same problem:...
View ArticleSimple Python Debugging with Pdb: Part 2
This Insight article is the continuation of the first article, Simple Python Debugging with Pdb: Part 1. In this article, let’s look at another important capability of debuggers: breakpoints. When you...
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