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Mathematical Modeling

Using mathematical systems to represent and analyze real-world problems.

Physics

+4

The Calculus of Falling Bodies

Oct 20, 2026

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3 min read

The Calculus of Falling Bodies

How gravity, velocity, and displacement reveal the mathematics behind a falling object

Joseph Foster
Joseph Foster

Mechanical Vibrations

+6

When Portfolios Behave Like Damped Springs

Sep 7, 2026

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3 min read

When Portfolios Behave Like Damped Springs

Using differential equations to model portfolio movement, damping, and mean reversion

Joseph Foster
Joseph Foster

Linear Algebra

+5

RREF: When a System Has No Solution

Aug 24, 2026

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1 min read

RREF: When a System Has No Solution

From Ax=b to contradiction - Seeing linear algebra through Reduced Row Echelon Form

Joseph Foster
Joseph Foster

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