Heat, Wave and Schrodinger equations are fundamental linear partial... differential equations of physics.show more

gm · partial differential equations at work

Learn Differential Equations and Linear Algebra with Prof. Gil... Strang! Full video 📹➡️show more

Learn how to plot easily attractors in GeoGebra #mathematics... #geogebra #systems #differential #equationsshow more

I love the certainty of physics. This guy has... done the equations and knows he'll be fineshow more

Asians have entered the snowboarding chat and we are... kinda dominating. ✌🏻 The sport reduces to applied geometry, dynamic balance under perturbation, and controlled manipulation of angular momentum in a low-friction environment. You know, simple stuff that everyone knows. It’s not like we’re out here solving Navier-Stokes. P.S. Nonlinear partial differential equations PDE’s) are my jam.show more

mfs choosing ENGINEERING knowing they will age for 20... years in the next 4 years, but at least they can solve basic differential equations (they can't)show more

once i had hit a certain point in life... , i did this for about two years. i traveled the entire world hunting for the most beautiful beaches with perfect waves. then i visited Kelly Slater’s surf ranch, located in the middle of nowhere, somewhere in California. every wave, constructed from the most perfect computational fluid dynamic simulations & complex nonlinear partial differential equations of fluid motion. “perfection” was made by the worlds best Wave Theorists, PhD’s, Mathematicians and Engineers. there is a lesson here.show more

One hundred years of wave equations of physical systems... from Schrödinger's model of the atom to neural field theory of the brain Both formulations predict that the system's expressed energy is constrained into natural modes - "eigenstates - determined by the system's geometryshow more

Seeing The Quantum World In Action! Ever wondered how... particles pass through impossible barriers? This video provides a clear visualization of the Quantum Tunneling Effect, a fundamental phenomenon in quantum mechanics where a particle passes through a potential barrier that it classically could not surmount. Watch as the incident wave packet interacts with the potential barrier, resulting in both reflected and transmitted components. We break down the Schrödinger equation and the formula for transmission probability. Perfect for students and physics enthusiasts looking to understand the wave-particle duality and the probabilistic nature of the subatomic world. #QuantumPhysics #Manim #Physics #QuantumMechanics #Schrodingershow more

In classical differential geometry the Ricci curvature is a... unit of measure that defines the curvature of a manifold at a given point. It is expressed as the contraction of the Riemann tensor which equates the progressive curvature of a manifold. The Ricci curvature is essential in the study of Einstein field equations which relates the curvature of spacetime to the mass and its energy density. When studying #quantum field theory in curved spacetime, the Ricci curvature plays a vital role in the equations of motion for particles and fields, it’s specifically used to measure the curvature of the Fermi surface, which is a starting condition of electronic properties in the Hilbert space.show more

We often use discretization to approximate continuous laws of... physics, but it also goes the other way: You can use continuous equations to approximate the behavior of discrete systems! Here we'll see how electrical circuits can be modeled using the Laplace equation Δφ=0. [1/n]show more

Operation TruthSeeker just went live 🚀 Math and physics... are the ultimate BS-filters. Equations balance or blow up. Code compiles or crashes. In all other fields, human cunning can twist facts and warp reality. Not anymore. TruthSeeker is reality's firewall. A small step for FactCheck. A massive leap for mankind. Link below.show more

Fundamental Mechanical Engineering Formulas. Credit: Maths and Physics Formula.

The partial sums of the Fourier series for a... square wave. [🎞️ fourier_borel]show more

“All of the physics questions of orbital compute are... easily solvable. Heat rejection is not a real problem.” Jeff Bezosshow more

Extending #FreeFEM to multiphase flows using phase field models.... Solution of Navier-Stokes-Cahn-Hilliard equations using a partitioned approach. Runs well; stable but is more diffusive than expected. #CFD #simulationfridayshow more

Friction converts kinetic energy into heat. The physics of fire

🚨#BREAKING! 1st MAJOR SPRIING HEAT WAVE! 1st WEEK of... April will likely be a Major HEAT WAVE for MOST of the United States! 🥵🔥show more

One month until the Desmos Art Contest submission deadline... on January 15th, 2024! Think you need advanced math to make a beautiful piece of Desmos art? Check out this 2021 art contest winner, using only equations of lines and circles! #mathart #desmosart #desmosartcontestshow more

In General Relativity and Quantum Gravity, diffeomorphism often called... diffeomorphism invariance or general covariance is an isomorphism of differentiable manifolds that defines the physical nature of spacetime. Rather than a mathematical tool, diffeomorphism is a smooth, bijective (invertible) mapping between two open sets where both the function and its inverse are continuously differentiable, ensuring that not only are the spaces homeomorphic (topologically equivalent), but they also share the same basic regarding calculus/differentiation. Diffeomorphism ensures that the equations of physics are independent of the coordinate system used, preserving the fluid structure of warped or deformed shapes without tearing, ripping, or creating holes. 🔗show more