Explore formulas for transforming products of trigonometric functions into sums or differences, derive these formulas from trigonometric addition theorems, and then derive formulas for transforming...

We examine the double-angle and triple-angle formulas and derive them from the Trigonometric Addition Formulas. We also derive the half-angle formulas from the double-angle formulas.

Examine the definitions of trigonometric functions and the relationships between them, and derive the addition formulas for trigonometric functions and their derivative formulas.

Covers the process of designing prompts for multilingual translation of markdown text files and automating the work with Python using API keys from Anthropic and the designed prompts. This post is ...

Exploring the necessity of writing good code and the key principles for writing good code in general.

Let's explore the concept of technical debt, why it occurs, and how to minimize it.

Calculate the intensity of a neutron beam as it penetrates a target material, derive the mean free path of neutrons, and determine macroscopic cross-sections for homogeneous mixtures and molecules ...

Explore the concepts of microscopic and macroscopic cross-sections and types of neutron interactions with nuclei, examining actual cross-section data from the Korea Atomic Energy Research Institute...

We explore the Bernoulli equation and its solution method, as well as the logistic equation, which is a special form of the Bernoulli equation.

We explore the relationship between decay constants, half-lives, and mean lifetimes of radioactive nuclides, and calculate the radioactivity of radioactive nuclides at any given time t in a given d...