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title
A Best-Case Scenario
description
A math teacher gets everything he wants. What could possibly go wrong?
site name
A Best-Case Scenario
author
updated
2025-12-21 05:56:27
raw text
A Best-Case Scenario – A math teacher gets everything he wants. What could possibly go wrong? Skip to content A Best-Case Scenario A math teacher gets everything he wants. What could possibly go wrong? Time series without time on an axis Long ago I promised a post (to come quickly; apparently I lied) about this topic. If we have time-series data, we typically put time on the horizontal axis. But that’s not the only way to represent something that changes in time. There is an alternative that’s closely related to parametric equations and graphs. Consider this typical physics-class situation: you have a weight on a spring moving up and down. You can plot its position as a function of time. For regular old Hooke-ian springs where , that will be a sinusoid. Now plot the velocity as a function of time. That will also be a sinusoid, but shifted by , like this: Position (red) and velocity (blue) for a weight on a spring. Or the bob of a pendulum. Or any number of t...
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