A streamlined way to compute integrals of products of exponential and trigonometric functions.

Wrote a systemd service to automatically shut down a machine if no one logs in within a certain time after boot.

Implemented the elbow method in C++ to estimate the number of clusters for k-means and verified its behavior.

Implemented k-means++, an improved version of the k-means algorithm, in C++ and verified its behavior.

Explored the behavior of k-means, perhaps the most well-known clustering algorithm, by implementing it in C++.

#pragma once is non-standard, but it has an advantage. It’s OK to use this.

This article discusses the general theory of self-reciprocal functions in the Fourier transform, particularly focusing on the eigenspaces of the Fourier transform.

An overview of Gray code.

As an example of a self-reciprocal function in the Fourier transform, we introduce |t|^(-1/2).

Basic concepts of the Mellin transform.

On the pursuit of truth and the importance of making concepts understandable to others.

I wrote Python code to simulate the Monty Hall problem.

Calculate the Gaussian integral using the Wallis integral.

This article discusses Wallis’ formula, which provides an approximation of the intermediate binomial coefficients.

An overview of Fresnel integrals.

Discussing the function array_repr() which returns a NumPy array as an evaluatable string.

Discusses various conventions for defining the Fourier transform.

Calculating Fourier transform of the probability density function of the normal distribution.

Explains how to use FFT, one of the basic tools in signal processing.

This text describes the Cantor set, a null set with the cardinality of the continuum.

Deriving the equation of an ellipse.

Find the family of curves that are orthogonal to a family of parabolas.

An explanation of the solution to the Basel Problem.

Explanation of Gaussian filters in image processing.

This document explains the fundamental aspects of antennas.

Although this is a basic problem, calculating the average of angles can be tricky and prone to mistakes. This article explains how to correctly find the average angle.

Do not live with a poor heart. Look towards beautiful things, help the weak, and no matter how cold it is outside, we must always carry spring in our heart.

In programming, it is often necessary to control some form of state. This article summarizes several patterns for managing states.

To round a float value, adding 0.5 then casting to int is an amateur approach. Professionals use std::nearbyint.

Engineering is often subjective, and it should not be assumed that talent is easily replaceable.