We examine various methods for determining the convergence or divergence of series.

We examine fundamental concepts of calculus such as the definition of sequences and series, convergence and divergence of sequences, convergence and divergence of series, and the definition of e, t...

Explore Newton's laws of motion, their meanings, the definitions of inertial and gravitational mass, and the principle of equivalence, which is significant not only in classical mechanics but also ...

We examine how the general solution of homogeneous linear ODEs with constant coefficients takes different forms depending on the sign of the discriminant of the characteristic equation.

Learn about the definition and characteristics of second-order linear differential equations, and understand the important theorem of the superposition principle and the resulting concept of basis ...

Calculate the energy transfer rate due to particle collisions for both elastic and inelastic collisions, and compare the magnitude of energy transfer rates for cases when the masses of the two coll...

We set up the Schrödinger equation for the harmonic oscillator in quantum mechanics and explore its analytical solution method. We solve the equation by introducing the dimensionless variable 𝜉, an...

We set up the Schrödinger equation for the harmonic oscillator in quantum mechanics and explore its algebraic solution method. We derive the wave function and energy levels of any stationary state ...

This post introduces the process of implementing multilingual support by applying the Polyglot plugin to a Jekyll blog based on 'jekyll-theme-chirpy'. This is the second post in the series, coverin...

This post introduces the process of implementing multilingual support on a Jekyll blog based on 'jekyll-theme-chirpy' using the Polyglot plugin. As the first in the series, it covers applying the P...