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The Eigenwalker Model of the Human Gait

A model of the human gait, developed by Nikolaus Troje, is a five-term Fourier series with vector-valued coefficients that are the principal components for data obtained in motion capture experiments involving subjects walking on a treadmill.... 更多内容 >>

Dark Energy Gravitational Waves

Recent theoretical, observational and computational results establish the possibility that gravitational waves produced by the dark energy created at the dawn of the universe affect the clock rate of silicon digital processors operating at very low temperatures.... 更多内容 >>

Piet Hein, Super Ellipses and Soma Cubes 3

An extraordinarily creative Danish mathematician, inventor, and poet who often wrote under the Old Norse pseudonym "Kumbel" meaning "tombstone." A direct descendant of the Dutch naval hero of the 16th century who had the same name, Piet Hein was born in Copenhagen and studied at the Institute for Theoretical Physics of the University of Copenhagen (later the Niels Bohr Institute) and the Technical University of Denmark. ... 更多内容 >>

How Many Times Should You Shuffle the Cards?

We say that a deck of playing cards is completely shuffled if it is impossible to predict which card is coming next when they are dealt one at a time. So a completely shuffled deck is like a good random number generator. We saw in my previous post that a perfect faro shuffle fails to completely shuffle a deck. But a riffle shuffle, with some randomness in the process, can produce complete shuffling. How many repeated riffle shuffles does that take?... 更多内容 >>

A Historic Cubic 2

The cubic polynomial $x^3 - 2x - 5$ has a unique place in the history of numerical methods.... 更多内容 >>

John Todd, Savior of Oberwolfach 2

This is the story of how John Todd saved what was to become one of the world's most important research institutions from destruction at the end of World War II.... 更多内容 >>

Trip Report: SuperComputing 2015

SC15, the International Conference for High Performance Computing, Networking, Storage and Analysis, was held in Austin, Texas, last week, November 15 through 20. This is the largest trade show and conference that MathWorks participates in each year.... 更多内容 >>

Zeroin, Part 2: Brent’s Version 2

Richard Brent's improvements to Dekker's zeroin algorithm, published in 1971, made it faster, safer in floating point arithmetic, and guaranteed not to fail. ... 更多内容 >>

Zeroin, Part 1: Dekker’s Algorithm

Th. J. Dekker's zeroin algorithm from 1969 is one of my favorite algorithms. An elegant technique combining bisection and the secant method for finding a zero of a function of a real variable, it has become fzero in MATLAB today. This is the first of a three part series.... 更多内容 >>

Charles Lawson, 1931 – 2015

Chuck Lawson passed away in July at the age of 83. Chuck was one of the people who introduced me to computing and mathematical software. I worked for him at Caltech's Jet Propulsion Laboratory during the summers of 1961 and 1962, just before and after my first year in grad school.... 更多内容 >>

Posts 61 - 70 of 96