# Articles — Math

Articles tagged Math

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Modélisation de l’évacuation d’un immeuble en cas d’incendie
When an issue arises in a building, people's evacuation is a recurring challenge. We wondered whether we could make a realistic simulation of people’s evacuation based on a simple physical model. First, we elaborated this model and then we simulate the people’s comportment on MATLAB. We could conclude that our simulation is enough to describe the general comportment of people.
Guillaume
Solving most cost-effective loan problem
A simple algorithm paper for the sake of practice.
Rodion Efemov
Calculating the Probability for Winning a 649 Lottery
Calculating the Probability for Winning a 649 Lottery using Probability.
Brachistochrone Problem Solved
Solving Brachistochrone Problem
Robot localization in a mapped environment using Adaptive Monte Carlo algorithm
Localization is the challenge of determining the robot's pose in a mapped environment. This is done by implementing a probabilistic algorithm to filter noisy sensor measurements and track the robot's position and orientation. This paper focuses on localizing a robot in a known mapped environment using Adaptive Monte Carlo Localization or Particle Filters method and send it to a goal state. ROS, Gazebo and RViz were used as the tools of the trade to simulate the environment and programming two robots for performing localization.
Sagarnil Das
Deriving the summation formula of any Converged Arithmetic Series
I have shown here how to derive the summation of a convergent Arithmetic series and get two results as answers