Cαριnα Cor

phD Physicist/Teacher/Amante del mundo clásico, música, arte, filosofía e historia, humor negro/Disfruto el rock... 🚫

[Multiverso @MultiversoTM]

Yo si, lo admito.

¿Y tú?

[Cliff Pickover @pickover]

FREE Math Book.

"Games & Puzzles: Discovering the Art of Mathematics" by Volker Ecke et al.

Mathematical inquiry in the liberal arts: Rubik's Cube, Rattler Wooden Puzzle, Sudoku, Kakuro, Radon/Kaczmarz Puzzles, Hex, Latin Squares, Tomography, John Nash, Game Trees – Complexity, etc.
"Empowers you, the explorer, to investigate connections between mathematical ideas and concepts and the structures and patterns found in games and puzzles. Pick up a Rubik's Cube and explore group theory while analyzing the powerful moves that you discover. Investigating puzzles like Sudoku, you will come to understand the intricate mathematical structure to allow you to create your own puzzles, and learn about deep connections to the mathematics of medical imaging. Inquiring into good moves and strong positions in connection games like "Hex" reveals mathematical patterns for your own strategies for being successful in this game. A seemingly simple game of piles can help you explore connections to how computers think. "

Link: https://t.co/Yy5WwR8PKe

[🎸 Rock History 🎸 @historyrock_]

Happy Global Beatles Day!

[Mathematica @mathemetica]

Banked curves enable higher cornering speeds through a balance of normal force, gravity, and friction at the sliding threshold.

The equations at maximum speed v are:
ΣF_x = m v²/r = N sin θ + μ_s N cos θ
ΣF_y = 0 = N cos θ - μ_s N sin θ - mg

This pair solves for v_max = √[r g (sin θ + μ_s cos θ) / (cos θ - μ_s sin θ)]

Special cases: v_max = √(r g tan θ) with no friction, and v_max = √(r g μ_s) on flat roads.

It is used to calculate posted speed limits on curved highway exits and to engineer banking angles for racetracks.

[Knight World @KnightWorld]

"You are my favorite thought."

[Cαριnα Cor @carinamcor]

@VIX En prime estaba programado sólo con la suscripción sin el pase. Acaba de aparecer en prime con el pase. ¡Qué mal!

[Cαριnα Cor @carinamcor]

@Markus_Romm @EnriqueEnVivo @VIX @TUPrensa Acaba de aparecer, pero lo hubieras buscado cuando empezó con otro programa, y después desapareció... Cualquier excusa par sentirse superiore

[Cαριnα Cor @carinamcor]

@VIX Veía los comerciales donde se supone iba a estar el partido, y se me ocurre cerrar y volver a abrir la app en 'prime', y ya no aparece ni como opción. ¡Todo mal!

[Mathematica @mathemetica]

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.

— Archimedes

[Learn Latin @latinedisce]

Estō vir — “Be a man”

[Philosway @philosway]

Educating the mind without educating the heart is no education at all.

- Aristotle

[Learn Latin @latinedisce]

Nulla dies sine linea — “No day without a line.”

[Learn Latin @latinedisce]

Revīvīscō — “I come back to life.”

[Libertario 🟨⬛ @QuotesforGoal]

"Los obedientes siempre se consideran virtuosos en lugar de cobardes"

George Carlin

[Philosophy Of Physics @PhilosophyOfPhy]

The geodesic equation is a foundational formula in Albert Einstein's General Theory of Relativity. It describes how an object travels along the straightest possible path through curved spacetime when influenced purely by gravity.

[Mathematica @mathemetica]

Unlock the core of vector calculus with this visual guide.

The Del operator (∇) drives three key operations on fields:
- Gradient (∇Φ) points to the steepest increase of a scalar;
- Divergence (∇ · F) quantifies net outflow or inflow;
- Curl (∇ × F) measures local rotation.

> Gauss’s Divergence Theorem states
∯_S F · dA = ∭_V (∇ · F) dV, relating surface flux to volume divergence.
> Stokes’ Theorem, ∮_C F · dl = ∬_S (∇ × F) · dA, relates circulation around a curve to curl over the surface.

These are foundational in electromagnetism, fluid dynamics, and engineering.

[Cosmos Archive @cosmosarcive]

Johannes Kepler discovered that planets move around the Sun in elliptical orbits, not perfect circles.

r = ℓ² / [m²μ(1 + e cos θ)]

This relation gives the distance of a planet from the Sun at any point in its orbit and became one of the foundations of celestial mechanics.

[Libertario 🟨⬛ @QuotesforGoal]

"Una vez terminado el juego, el rey y el peón van a la misma caja"

Proverbio italiano

[Cosmos Archive @cosmosarcive]

A sheet of paper can stop one type of radiation while another can pass through thick lead like it is nothing. Radiation is not just “dangerous energy” because every type behaves differently depending on its mass, charge, and energy.

Alpha particles stop at paper. Beta needs aluminum. X rays and gamma rays penetrate much deeper, while neutrons require thick concrete shielding.

[Hesse Philosophy @HermannHessed]

“People with courage and character always seem sinister to the rest.”

— Hermann Hesse