![Why Clocks in Motion Slow Down According to Relativity Theory](/content/images/size/w600/2024/04/1-bXE_0e8eWYLqPTegyVtFog.webp)
Why Clocks in Motion Slow Down According to Relativity Theory
A Gentle Explanation of Time Dilation and the Relativity of Simultaneity in Special Relativity
A Gentle Explanation of Time Dilation and the Relativity of Simultaneity in Special Relativity
Alain Badiou (1937-) is a French philosopher. At one point he was the chair of Philosophy at the École normale supérieure (ENS) and founder
Gravitation is ubiquitous. Its presence is felt at any place. Isolation doesn’t exist in the universe; everything stays connected with…
Many programmers believe that the use of higher order integration algorithms, combined with a large number of integration interval…
An easier method to evaluate the product and quotient rule, and display their symmetry.
A Clever Way to Quickly Take Derivatives Used by Richard Feynman
How can Gauss improve your pizza eating technique?
π is ubiquitous both in mathematics and physics. Its appearance in some contexts are intuitive to grasp. Others require intellectual contortion, a mind-bending that defies all intuition.
A non-metaphoric explanation
An overwhelmingly large portion of our modeling of the universe is accomplished by posing and solving differential equations..
In the Deep Learning (DL) age, more and more people have encountered and used (knowingly or not) random matrices. Most of the time this use is limited to the initialization of the networks weights, that can be accomplished with a single line of code in your favorite DL framework.
How Newton confirmed the inverse-square law
The following piece explains a particular symbolic expression (or version) of Kurt Gödel’s first incompleteness theorem. It also includes a particular expression (or example) of a Gödel sentence (i.e., “This statement is false”)
Part 2: Mixture Models
A Glimpse of Incompleteness
Equations are more mysterious than we think
Penrose
Roger Penrose is not only a mathematical physicist: he’s also a pure mathematician.
Probability Theory
Part 1: How to best fit a Gaussian
Calculus
From Newton’s “Lion Claws” to the Modern Solution
Geometry
How many spatial dimensions do we live in? How many can we directly perceive? Are the two answers the same? If they are different, what effect, if any, do any higher dimensions have on us?
Particle Physics
70 Billion. That’s how many particles are passing through every square centimetre of your skin each second. This is not a sci-fi novel; the most fundamental laws of the universe conspire to make it so.
Logic
The position of what’s sometimes called semantic realism is that every statement is bivalent as well as being evidence-transcendent.
Probability Theory
Keep drawing integers from a random number generator (or a customized lottery machine) until you get a number that is smaller than the previous pick.
Puzzle
What numbers do they need to contain to display all days of the month?
Statistics
A statistics lesson that can help you protect your valuables
Geometry
Physical Constraints Regulate Information Dynamics
Fermat
A journey through Fermat’s pseudoprimes and Fermat numbers
Euler
It is so famous and well-known, that I feel adding any praise to it would only decrease its value :) It is often cited as one of the most beautiful equations ever, by maths funs and others as well.
Wald
The legend of Abraham Wald
Fibonacci
Understanding the ubiquitous patterns of the universe
Abstract Algebra
Modern results on a problem from the 1800s.
Probability Theory
Should I switch or should I stay? The Switching Paradox