## Matrix Algebra and Game Programming

1) Algebra of matrices A matrix $$A(m,n)$$ defined on the field of real numbers $$\mathbb{R}$$ is a collection of real numbers $$(a_{ij})$$, indexed by natural numbers $$i, j$$, with $$1\le i\le m$$ and $$1\le j\le n$$. We can represent a matrix with a rectangular array of numbers arranged in Read more…

## Introduction to Fractals – Koch Snowflake

Euclidean geometry studies geometric objects such as lines, triangles, rectangles, circles, etc. Fractals are also geometric objects; however, they have specific properties that distinguish them and cannot be classified as objects of classical geometry. Although Mandelbrot (1924-2010) is generally considered the father of the scientific theory of fractals, in reality the ideas underlying Read more…

## The Problem of the Four Liars

Problem There are four people A, B, C, D. A box with a red ball inside it is given to A, who can leave things unchanged with probability $$p$$ or replace the red ball with a white one with probability $$q=1-p$$. The box is passed to B who can leave Read more…