Afaq ahmad @Afaqahm55052496
Mathemagical 🧠📖💞 Joined April 2021-
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A shape with the paradoxical property that it has infinite surface area, but a finite volume! That is, the Gabriel's horn, also called Torricelli's trumpet, the surface of revolution of the function y=1/x about the x-axis for x≥1.
In 1965, the mathematical physicist Roger Penrose proved that, given two simple assumptions, space-time must end at points called singularities. The paper has been called “the most important paper in general relativity” since Einstein’s. quantamagazine.org/singularities-…
I believe the hardest part of mathematics (and pretty any other discipline) is developing intuition. You can memorise and use definitions and theorems, but that doesn't mean you really understand them. It takes time to develop an intuition around mathematical concepts and it can…
Physics and accuracy ✍️
If you are receptive and humble, mathematics will lead you by the hand. - Paul A. Dirac (1902 - 1984)
"Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover." ~Bertrand Russell, An Outline of Philosophy (Photo from 1924)
Fermat's Last Theorem.
Euler is not only the most prolific contributor to the development of mathematics, but he has also given us quite a few symbols that are still commonly used today. These include the following: f(x): Function notation, e: Base of natural logarithms, s: Semiperimeter of a…
Quantum Simulation Displaying Particle Scattering
In the 1990s, mathematicians proved that iterating the equation 𝑓(𝑥) = 𝑥^2 + 𝑐 exhibits nice, predictable behavior for most values of c. Mathematicians hope to prove this for a broader class of functions. trib.al/b8qvgnl
Light travels faster than sound.. That's why some people appear bright until you hear them speak.
Plato (428-348 BC) was a renowned teacher of mathematics, inspired by Pythagoras, who founded the Academy in Athens. He emphasised geometry as a key to understanding the universe, famously inscribing "Let no one ignorant of geometry enter here" above the Academy's entrance.…
The Cauchy Residue Theorem is named after Augustin-Louis Cauchy, a French mathematician who developed it in the early 19th century as part of his foundational work in complex analysis. Cauchy introduced the concept of residues and the theorem in his 1825 memoir, building on…
Laminar flow is smooth, orderly fluid motion where layers slide past one another without mixing. Think of it like fluid "gliding" in parallel sheets-quiet, predictable, and low resistance.
Arguably the most intelligent photo ever taken: Solvay Conference on quantum mechanics at the Institute International de Physique Solvay, Brussels, Belgium, in 1927. 17 of the 29 attendees were or became Nobel Prize winners. ✍️
Graph of y = sin θ/θ with Limit as θ Approaches 0.
The man who solved the Poincaré conjecture is Grigori Perelman, a Russian mathematician who is known for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. He was born in 1966 in Leningrad, Soviet Union (now Saint Petersburg,…
Dirac equation: (i ∂̸ − m) ψ = 0 Heisenberg's Uncertainty relation: Δx · Δp ≥ ħ/2 Schrödinger equation: iħ ∂Ψ/∂t = [−(ħ²/2m) ∇² + V] Ψ
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