Posts by Tag | Henry Yip

[Easy] [Medium] [Hard]

Easy

Accessible for Math-Oriented High School Students.

26 Jul 24: Problem of Two Fixed Centers (Part III)
16 Jul 24: Sundman's Power Series Solution to the Three Body Problem (Part II)
12 Jul 24: Sundman's Power Series Solution to the Three Body Problem (Part I)
09 Jul 24: Problem of Two Fixed Centers (Part II)
27 Jun 24: Ellipses and the Two-Body Problem
24 Jun 24: Plotting and Visualizing the Three-Body Problem
12 Jun 24: Thermodynamic Potentials and Maxwell Relations
11 Jun 24: Solving a system of Congruences
10 Jun 24: Wilson's Theorem
09 Jun 24: Infinite Descent and Vieta's Formulas
08 Jun 24: An Easy and Brief Introduction to Bose Gas and Fermi Gas
06 Jun 24: Integration by Laplace Transform
06 Jun 24: Euler's Totient function, Reduced Totient function and Carmichael Number
20 Feb 24: Overview of the Two-body Problem
29 Jul 23: Two Interesting Questions related to Free Fall
25 Dec 22: Two Laws Related to Planetary Revolution

Medium

Accessible for all students studying a Mathematics/Physics related degree.

22 Jul 24: Classifying and Finding New Possible Orbits (Part I)
04 Jul 24: Understanding and Visualizing the Shape Sphere
28 Jun 24: Problem of Two Fixed Centers (Part I)
25 Jun 24: Symplectic Integrators
18 Jun 24: An example of Discrete Fourier Transform using FFT Algorithm
13 Jun 24: Image Processing using Python and Convolution Theorem
07 Jun 24: An Application of the LTE lemma and Fermat's Little Theorem
04 Jun 24: Theorema Egregium --- The reason why all maps are wrong
08 Apr 24: Why is Momentum Conserved?
31 Mar 24: Julia Sets and the Mandelbrot Set
19 Mar 24: Group Research in fluid behaviours
16 Oct 23: More on Multivariable Calculus
15 Aug 23: Two Particles Collision

Hard

Accessible for specialized students studying a Mathematical/Theoretical physics related degree.

17 Jul 24: A Proof of the Existence of the Figure-8 Orbit using Actions and the Shape Sphere
08 Jun 24: Third Fundamental Form and How to Find it
18 Feb 24: Tensors and its transformations
13 Jan 23: Perturbations - A view on Classical Mechanics and Quantum Mechanics
25 Dec 22: Conservations in Physics - Noether's Theorem