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A signal is a claim in motion

The useful unit is not a chart. It is a trace, a model, and a question that can still be checked.

Glossy cyan ribbons curve around a multicolored central form.

Begin with the surface

A blackboard-style website study with a pale oscillator plot.

This is a site study, not an observation. The data used later is synthetic.1

Name the quantities before the curve

QuantityMeaningUnit
ttelapsed times
x(t)x(t)displacementm
x(t)=e0.18tcos(2.4t)x(t) = e^{-0.18t}\cos(2.4t)

Let the short model stay inspectable

oscillator.ts
const damping = 0.18;
const frequency = 2.4;
const displacement = (time: number) =>
  Math.exp(-damping * time) * Math.cos(frequency * time);

A result should leave a trail

flowchart LR
  Source[Source file] --> Figure[Inspectable figure]
  Figure --> Claim[Written claim]
  Claim --> Question[Next question]

The point is not a beautiful diagram. It is a path back to what the diagram means.

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