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The Magic and Joy of the Determinant
The Magic and Joy of the Determinant
Boring? How i think about determinants typifies my joy in mathematics …
Selena Ballerina
Aug 10
The Magnificent Octonions: When Do Equations Lose Information?
The Magnificent Octonions: When Do Equations Lose Information?
… and the amazing woman, Ruth Moufang, who answered an important part of this profound question
Selena Ballerina
Jul 8
The Pythagorean Legacy: The Meeting of Numbers and Our Sublime Universe
The Pythagorean Legacy: The Meeting of Numbers and Our Sublime Universe
What’s the big deal with quadratic forms and “geometric algebras” in so much of modern Physics and early twentieth century Mathematics?
Selena Ballerina
Aug 3
Latest
The "Fundamental States of Matter": Kitchen Blender Disasters, Smashy Squishy Liquids and Amazon…
The "Fundamental States of Matter": Kitchen Blender Disasters, Smashy Squishy Liquids and Amazon…
The weird and whacko behaviors of materials during mechanical failure. Including kitchen explosions that take all day to clean up!
Selena Ballerina
Aug 13
The Pythagorean Legacy: The Meeting of Higher Dimensional Numbers, Hypercomplex Numbers and Our…
The Pythagorean Legacy: The Meeting of Higher Dimensional Numbers, Hypercomplex Numbers and Our…
The Search for Higher Dimensional Numbers Reveals Deep Facts About the Fabric of Our Universe
Selena Ballerina
Aug 11
The Strange Behavior of the Determinant as a Pseudoscalar
The Strange Behavior of the Determinant as a Pseudoscalar
Weirdo Vectors 🦁 and Pseudvectors 🐯 and Parity Sign Flips 🧸, Oh My!
Selena Ballerina
Aug 10
The detection and importance of gravitational waves
The detection and importance of gravitational waves
‘Gravitational waves are ripples in the fabric of spacetime;’ this has been predicted by Albert Einstein’s General Theory of Relativity in…
Bharat Ambati
Aug 10
Statistics: Multivariate time series analysis — VMA, VAR, VARMA
Statistics: Multivariate time series analysis — VMA, VAR, VARMA
The mathematical understanding of VMA, VAR, and VARMA and practical Python implementation
Yuki Shizuya
Jul 31
The Quantum Swap-Test Explained
The Quantum Swap-Test Explained
The Swap-test used in quantum computing algorithms provides a function for comparing two qubits for similarity. The Swap-test is the…
Jae F. Muzzin
Jul 29
Three is a Highly Special Number of Spatial Dimensions: Part 2
Three is a Highly Special Number of Spatial Dimensions: Part 2
The Angular Momentum and Torque "vectors" are only a valid concept in three dimensions, owing to a "co-incidence" or "accident" that only…
Selena Ballerina
Jul 28
The particle which breaks time symmetry
The particle which breaks time symmetry
The majority of the processes in our universe follow time symmetry. This theoretical idea in physics says that objects and processes in our…
Bharat Ambati
Jul 28
The Astronaut and the Ballerina: Part 2 of Apollo 11 Gets Quaternions For Christmas
The Astronaut and the Ballerina: Part 2 of Apollo 11 Gets Quaternions For Christmas
A mathematical theory of Gimbal Lock and the Astronaut and the Ballerina within us all
Selena Ballerina
Jul 27
The Women Who Changed Science Forever.
The Women Who Changed Science Forever.
She suffered from the part the world wished her to play, she did not know how to be famous.
DEEPIKA VERMA
Jul 27
The Inexorable Death of our Planet
The Inexorable Death of our Planet
There are several scenarios for how our planet would likely perish, but one stands out as having no major conditions. In 7.6 billion years…
Bharat Ambati
Jul 18
The Music of The Shattered Spheres
The Music of The Shattered Spheres
That Mathematics can see its own limitations is part of its Sublimely Perfect Imperfection, and this arises in the restricted possibilities…
Selena Ballerina
Jul 17
The Sublime Perfection and Beauty of Imperfection
The Sublime Perfection and Beauty of Imperfection
Kurt Gödel and the loneliness and joy of being a Platonist in a smug world convinced of Human Omnipotence and that Man is the Measure of…
Selena Ballerina
Jul 17
Trisecting Angles and Higher Dimensional Numbers
Trisecting Angles and Higher Dimensional Numbers
Why can the Reals only be extended to Number "Fields" of dimension 1, 2, 4 and 8? And what has this to do with the Ancient Greek problem of…
Selena Ballerina
Jul 15
Intuitive exploration of how gravity near black holes could accelerate time and influence entropy…
Intuitive exploration of how gravity near black holes could accelerate time and influence entropy…
In the vast expanse of the cosmos, black holes stand as enigmatic entities, where the gravitational forces are so intense that not even…
Yash Thaker
Jul 11
Honey -> Hydrogen?
Honey -> Hydrogen?
I had the idea to look at honey as a possible replacement for gasoline, but in exploring that idea, I stumbled upon this. The summary below…
Josh Rutledge
Jul 8
Statistics: Time Series Analysis — Compilation of the fundamental concepts
Statistics: Time Series Analysis — Compilation of the fundamental concepts
Gentle introduction of time series analysis basics with visualization and detailed mathematical derivation
Yuki Shizuya
Jul 5
Topological Magic: Bizarre Twists in Space
Topological Magic: Bizarre Twists in Space
The exquisitely beautiful Hopf Fibration and the generalization of a Cartesian Product to a fiber bundle
Selena Ballerina
Jun 25
Topological Magic: Formal Tricks to Increase our Mathematical Imagination
Topological Magic: Formal Tricks to Increase our Mathematical Imagination
Quotient Spaces, Fiber Bundles and Covers produce simple and profound examples in topology, and give you powers of visualization that you…
Selena Ballerina
Jun 25
Analog Computation of Linear Algebra: Theory and Implementation
Analog Computation of Linear Algebra: Theory and Implementation
Analog computers can perform matrix math with far less hardware and electricity than digital computers need. We will walk through the…
Jae F. Muzzin
Jun 23
Understanding 5G Technology: The Future of Connectivity
Understanding 5G Technology: The Future of Connectivity
The fifth generation of mobile networks, or 5G, is a game-changer in the world of telecommunications. Promising faster speeds, lower…
Bhupeshsahu
Jun 23
50 Challenging Problems in Probability [Part 31]: Birthday Pairings
50 Challenging Problems in Probability [Part 31]: Birthday Pairings
Can you solve this interesting puzzle? What is the least number of persons required if the probability exceeds 1/2 that two or more of them
Shelvia
Jun 22
Brain Teaser 32: Coin Split Problem
Brain Teaser 32: Coin Split Problem
Can you solve this interesting puzzle? You split 1000 coins into two piles and count the number of coins in each pile. If there are x coins
Shelvia
Jun 22
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