r/visualizedmath

▲ 299 r/visualizedmath+5 crossposts

Taylor Series Visualized with Manim

Recently got my script-to-manim animation platform (tensorframes.co) to handle long form videos. Feedback welcomed.

Check out more animations @tensor_frames

u/tensorframes — 3 days ago
▲ 220 r/visualizedmath+4 crossposts

The Higgs Mechanism - Inspired by Feynman Diagrams

The Higgs Mechanism, electroweak symmetry breaking, and key particle physics concepts inspired by Feynman Diagrams.

Concepts visualized are:

The Higgs Field
Spontaneous Symmetry Breaking
Gluon Fusion
Higgs Decay to Photons (H → ̳̳)
The Golden Channel (H → ZZ → 4ℓ)
Electroweak Symmetry Breaking

For more animations click www.instagram.com/craftsandengineering

For code and more click https://github.com/zombimann/Mathematical-video-animations-and-visualization/blob/main/Quantum_Physics_Higgs_Mechanism_Feynman_Diagrams.ipynb

Music attribution: Quantum - PHNKR PHONK & Donovan on TikTok music library

u/Fluffy-Selection2940 — 4 days ago
▲ 37 r/visualizedmath+2 crossposts

I made a visual guide to decode the Z-Transform

Hey everyone,

I just published a quick, 5-minute animated guide breaking down the Z-Transform. Instead of just throwing a wall of math at you, I tried to make the concepts actually click.

In the video, I cover:

  • How the Z-Transform compares to the Laplace transform

  • Deriving the simplest signals (Unit Impulse & Unit Step)

  • Crucial properties: Linearity, Time-Shifting, and Value Theorems

  • A mechanical 3-step engine to solve any difference equation using Partial Fraction Expansion.

Let me know what you think, or if there are any other DSP topics you'd like to see visualized!

youtu.be
u/Ki-Chao — 6 days ago
▲ 68 r/visualizedmath+13 crossposts

Quantum Electrodynamics visualization using Feynman Diagrams

Quantum Physics Series

Video 1 of 6: Quantum Electrodynamics visualization using Feynman Diagrams

Author: Mugambi Ndwiga
In: www.instagram.com/craftsandengineering

This animation visualizes the fundamental interactions of Quantum Electrodynamics (QED) using Feynman diagram conventions. QED is the relativistic quantum field theory of electrodynamics, describing how light and matter interact.

Visualized Phenomena

The animation cycles through six key physical processes:

  1. Compton Scattering: A photon hits an electron, resulting in an energy shift and change in direction.
  2. Electron-Positron Annihilation: An electron and its antiparticle (positron) collide to produce high-energy photons ().
  3. Pair Production: A high-energy photon interacts with the electric field of an atomic nucleus to create an electron-positron pair.
  4. Bremsstrahlung (Braking Radiation): A charged particle (electron) is deflected by a nucleus and radiates energy as a photon.
  5. Møller Scattering: The interaction and repulsion between two electrons via the exchange of a virtual photon.
  6. Vacuum Polarization: A process where a photon temporarily fluctuates into a virtual electron-positron pair, affecting the vacuum's permittivity.

For code and more click Mathematical-video-animations-and-visualization/QED_Feynman_Diagrams_Animations.ipynb at main · zombimann/Mathematical-video-animations-and-visualization

u/Fluffy-Selection2940 — 10 days ago