26 November 2015

A 1×1 matrix is often regarded as a scalar quantity, but is that correct? This article explores a reader's question.

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Posted in Mathematics **|** 8 Comments »

24 November 2015

A quite remarkable new proof of the 400 year-old Wallis Product approximation for π has recently been published. It arises from a study of the quantum mechanics of a hydrogen atom.

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Posted in Mathematics **|**

29 October 2015

Is there a difference between cube root and raising a number to the power 1/3? Maybe there is!

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Posted in Mathematics **|** 2 Comments »

Tags: Graphs, Technology

29 September 2015

*svgPHPGrapher* produces clean math graphs with no javascript, and all the processing happens on the server.

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Posted in Computers & Internet **|** 2 Comments »

Tags: Graphs, Interactive, Technology

23 September 2015

When sketching mathematical functions on paper or computers, it's a good idea to have a sense of what the general shape of the curve is before you start. Sampling can lead to erroneous results.

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Posted in Mathematics **|** 3 Comments »

Tags: Graphs, Technology

30 July 2015

YouTube engineers faced a problem as the number of views for Gangnam Style approached 2 billion. I found related issues when developing the Newton's Method graph.

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Posted in Computers & Internet **|**

Tags: Culture

30 July 2015

I added a new interactive graph that helps explain how Newton's Method works. Newton's Method uses differentiation to solve non-linear equations and is especially useful when we can't factor the equation. It's very commonly used by computers when solving math-based problems.

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Posted in Computers & Internet **|** 2 Comments »

Tags: Interactive

29 June 2015

How many ancestors do you have? We all have 2 parents, 4 grandparents and 8 great grandparents. But does this go on forever?

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Posted in Mathematics **|** 3 Comments »

Tags: Culture, Graphs, Real-world math

13 May 2015

How do we find the length of a spherical spiral, with equidistant spirals? Here's the solution to this interesting reader's question.

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Posted in Mathematics **|** 2 Comments »

Tags: Culture, Graphs, Real-world math, Technology

28 April 2015

The Information Paradox is an interesting challenge to the accepted notions of how life on Earth came to be. There's some mathematics involved, too!

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Posted in Mathematics **|** 2 Comments »

Tags: Graphs, Reviews, Thinking & learning