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The Rosetta Stone is a famous stone artefact that was found in Rosetta in 1799 with inscriptions written on it in three different languages: Ancient Egyptian, Demotic and Ancient Greek. Given that Ancient Greek was well understood at the time, it helped deciphering the two other languages, most particularly Ancient Egyptian. Why do I tell […]
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The basso continuo of these essays is Euclid’s algorithm. The author wants readers to discover that almost every page contains the algorithm either visibly or implicitly or in disguised forms. Readers should eventually be amazed that the algorithm is so simple yet deep and strong. Moving to the study of higher algebraic structures, readers will perceive […]
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Bayes’ Theorem started as a way of obtaining conditional probabilities via the reversed conditionals and thus was called law of inverted probabilities. However, the Bayesian statistical theory uses it as a way of updating prior beliefs associated to uncertain events or quantities. It is common to describe the theorem in words as follows: posterior is […]
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Despite having been alive for more than three centuries the classical N-body problem remainsalive and well! In this book I demonstrate its vibrancy by exploring four open questions within the problem. The book was born during the beginning of the pandemic when Marcelo Disconzi asked me to give aZoom colloquium talk at Vanderbilt University, which […]
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1 Background In 1873 the French mathematician Emil Mathieu published a paper in which he ’glued’ together copies of the projective special linear group L2(23) acting on the 24-point projective line P1(23) to produce a new group with remarkable properties. Although enormous in comparison to L2(23), the new group was a tiny subgroup of A24, […]
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We are the kind of people who are always interested in the strongest example of something, the paragon. When we eat Swiss cheese (Emmental), we want our senses to tell us that; we shouldn’t have any doubts that maybe we are eating cheddar. This book takes the same approach to Jordan systems in mathematics. […]
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Regression to the mean is a powerful and common source of bias in interpreting data. Once understood, its potential to mislead is obvious. Yet many scientists are regularly fooled by it. In this blog I shall try explain it.
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My new book “Programming in Parallel with CUDA – A Practical Guide” was born out of the excitement I feel about computing with GPUs. I have always had passion for science and computer programming. I wrote my first program in 1964 for the Cambridge EDSAC II computer using a Fortran like programming language. Since then, […]
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