Science, A Modified Displacement Formula for Non-Zero Displacements

Helllo there, 

I always dreamed of becoming a scientist, but I couldn't get into university. Still, I managed to modify the displacement law, which had been troubling me at zero. I hope you enjoy the modification

Introduction

The standard displacement formula, Δx=xf−xi​, can result in zero displacement when xf=xi This limitation is particularly problematic in applications such as simulations, numerical analyses, and contexts requiring continuous motion. For instance, in robotics and animation, zero displacement can cause issues with position tracking and visual continuity. To address this challenge, we propose a modified displacement formula designed to ensure non-zero displacement, which is crucial for accurate modeling and simulation.

Methodology

Redefining Initial Position:

To avoid zero displacement, we introduce a small positive constant ϵ\epsilonϵ. The modified initial position xi′ ​ is defined as:

xi′=xf+ϵ 

where ϵ is a small value, selected to be contextually appropriate. The displacement formula then becomes:

Δx′=xf−(xf+ϵ)=−ϵ

This modification ensures that the displacement Δx′ is always non-zero, thus preventing zero displacement in scenarios where continuous motion is required.

Parents
  • While, I don't understand any of this. I like that your profile pic is Richard Feyman. I liked reading about him. (I hope that I saw the little picture correctly and am right about who it is)

  • Riight?! He is amzing person.. Have you watched his interview when he get a question about his feelings towards nobel prize? 

Reply
  • Riight?! He is amzing person.. Have you watched his interview when he get a question about his feelings towards nobel prize? 

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