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July 2020

Home » Archives for July 2020

Game Development

Motion in a Plane and Unity’s 2D Physics Engine

This article gives a brief illustration of Newton’s laws of motion in the plane and analyzes the tools that the Unity 2D engine makes available to programmers to simulate the movement of bodies in the 2D environment.For the study of physics it’s essential to know the units of measurement of Read more

By gameludere, 6 yearsJuly 30, 2020 ago
Mathematics

Iterated Function Systems, Fractals and Sierpinski Triangle

In a previous article we have introduced some examples of fractals, illustrating their main characteristics, both qualitative and quantitative: self-similarity, geometric irregularity, fractional dimension. To continue the study of fractal science, it’s first necessary to give a more rigorous definition of the mathematical context in which fractal objects are defined.Each Read more

By gameludere, 6 yearsJuly 20, 2020 ago
Mathematics

Dirichlet’s Box Principle and Ramsey Numbers

The box principle is attributed to the German mathematician Dirichlet (1805-1859). It is also called the pigeonhole principle. This article illustrates Dirichlet’s principle and gives a brief introduction to Ramsey’s theory, with some examples of computation of Ramsey numbers. For a deeper understanding of the topics of this article you Read more

By gameludere, 6 yearsJuly 2, 2020 ago
Recent Posts
  • Counting Integer Lattice Points inside a Plane Figure
  • Bertrand Hypothesis and Ramanujan Prime Numbers
  • Splines and Bézier Curves and their application in Video Games
  • Sprite Animation in Unity 3D and Finite State Machines
  • Ordinary Generating Functions and Recurrence Equations
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