A Gradient Descent Inspired Approach to Optimization of Physics Question

Feihong Liu, Yu Sun
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Abstract

Many people believe that the crouch start was the best way to start a sprint [1]. While it seems intuitive, when the process of running is dissected using specific physical and mathematical representations, the question of “what is the best starting position” becomes harder to answer [2]. This paper aims to examine this phenomenon through a computer science approach inspired by gradient descent. Specifically, this paper aims to maximise the distance covered by a runner in ten steps. Assuming that runners do their best on every step and that their motion is not slowed by friction or air resistance, we will generate a hypothetical environment to study what the best strategy is for reaching the furthest distance within ten steps.
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基于梯度下降的物理问题优化方法
许多人认为蹲下起跑是开始冲刺的最佳方式[1]。虽然这看起来很直观,但当使用特定的物理和数学表示来剖析跑步过程时,“最佳起跑位置是什么”的问题变得更难回答[2]。本文旨在通过受梯度下降启发的计算机科学方法来研究这一现象。具体来说,本文的目标是使跑步者在10步内所跑的距离最大化。假设跑步者每一步都尽了最大的努力,并且他们的运动没有因摩擦或空气阻力而减慢,我们将生成一个假设的环境来研究在十步内到达最远距离的最佳策略是什么。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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