kaname.hirano

Probability

Texas Hold’em Game Design

This article will look at the issues that must be taken into consideration when developing a Texas Hold'em game.
Probability

Monte Carlo Simulation

This article provides an overview of Monte Carlo simulation. As an application example, it considers how to estimate the probability of winning in Texas Hold'em using Monte Carlo simulation.
Probability

Texas Hold’em

This article is a simple explanation of the rules of the game Texas Hold'em. It may be used as a subject for explaining probability calculations and Monte Carlo simulations in the future.
Physics

Kepler’s Equation Series

As a continuation of the article on Kepler's equations, this article will show the calculation of the physical quantities of the solution to the equations of elliptical motion in classical mechanics using a series.
Physics

Quantum Computing

In previous post, I mentioned that the concept of time that we perceive is different from the concept of time assumed in quantum mechanics. From this perspective, I will try to explain how quantum computing works.
Analysis

Complex Function and Time

This article will consider in what form time expressed as a complex function can be expressed when considering the progression of time with fixed coordinates.
Probability

Regression Analysis Like Machine Learning

This article shows what happens when stochastic gradient descent, a method often used in machine learning, is applied to parameter estimation in regression analysis.
Probability

Normal Distribution of Complex Numbers

We consider the probability density function of the normal distribution when the random variable is a complex number. We also briefly touch upon Brownian motion of complex numbers.
Algebra

Quadratic Equations of Complex Numbers

This article considers a method for solving quadratic equations over complex numbers, as I thought it might be necessary when solving the Dirac equation numerically.
Analysis

Numerical Solution of the Schrödinger Equation

This article explains the finite difference method as a numerical solution of the Schrödinger equation. We show the results of calculations for the case of free particles and one-dimensional Coulomb potential.