Find myself going down the rabbit hole as MS posted their MSDOS assembly code on GITHUB. Initials JK appear through source code, which I’m not sure who it belongs to. My assembly programming is at best poor. It’s fun to read the commands like del.asm etc. DOS seemed to be behind the times in 1986, …
Author Archives: saemiller
Self-Portrait, 2024
Generated via advancing front / Delayne algorithm, surface grid, marched in normal direction to lines of maximum gradient. CPU time \(1.5 \times 10^{-1}\) s on Mac M1.
Revisiting \(e\) History
\(e\), defined by the limit \(\lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n\) and approximating 2.71828, is characterized by its irrational and transcendental nature, indicating it cannot be depicted as a quotient of two integers nor as a solution to any non-trivial polynomial equation with rational coefficients. John Napier, a Scottish mathematician and theologian, significantly contributed to …
Removal of Tenure at the University of Florida
A university cannot exist without academic freedom. Academic freedom is the core value under which American universities have operated for nearly the last century. It is outlined in multiple works, including the Chicago Principles and by the American Association of University Professors. Academic freedom is protected by the tenure system. Tenure, which was popularized in …
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Binary’s Origin
Binary numbers were originally used for encryption and communication, a fact recognized as early as the 17th century by Francis Bacon. Bacon used the binary system for encoding the alphabet using strings of binary characters. This laid the framework for subsequent developments in coded communication, such as technologies like the telegraph (Samuel Morse), which relied …
In Florida by Professor Hofmann
Recently, one of the distinguished professors of English at University of Florida published a perspective of being in Florida in the time of academic turmoil. I wish I had the command of the English language like Professor Hofmann to express myself. Please see:https://www.lrb.co.uk/blog/2024/april/in-florida
Earth Density and Cavendish, 1798
Newton knew that the force of gravity causes falling objects near the Earth’s surface (such as the famous apple) to accelerate toward the Earth at a rate of 9.8 m/s2. He also knew that the Moon accelerated toward the Earth at a rate of 0.00272 m/s2. If it was the same force that was acting …
Rodi and Algebraic Stress Models
Rodi examined nonlinear algebraic stress models by approximating the convective transport terms of the Reynolds stress tensor and normalizing Reynolds stress with turbulent kinetic energy, coupled with a transport equation for turbulent kinetic energy. This approach simplifies the Reynolds stress transport terms, resulting in an algebraic equation essential for determining the Reynolds stress tensor. This …
Creation of Probability
On chance – Ancient civilizations, despite their engagement in games of chance and divinatory practices, did not formalize the underlying principles of probability. The creation of formal probability theory is linked with gambling and divination, stretching back to antiquity. However, the mathematical formulation of chance / probability remained elusive until the 17th century surrounding the …
Saffman \(k-\omega^2\)
Saffman’s \(k-\omega^2\) turbulence model, initiated by Saffman’s research, plays a role in the two-equation models dedicated to turbulence research since the time of Kolmogorov in the 1940’s. The basics of Saffman’s model is shown in the portrayal of a statistically steady or ‘slowly varying’ inhomogeneous turbulence field alongside the mean velocity distribution. This model states …