Improving Financial Analysis with Mathematica—Wolfram Blog
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Improving Financial Analysis with Mathematica—Wolfram Blog
For risk management, model validation, and pricing tool creation, Mathematica brings many clear advantages. Thomas Roux and Rémy Fellous explain.
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x = A cos(ωt + φ)A point moving at constant angular speed ω around a circle of radius A projects a straight-line shadow that performs simple harmonic motion. The x-component of this uniform circular motion is exactly x(t) = A cos(ωt + φ).This geometric projection is the direct link between circular motion and trigonometric functions. It provides a clear visual explanation for why the solutions to the simple harmonic motion equation are sinusoidal, without needing to solve differential equations.
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