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Mathematics

Mathematics is the study of numbers, patterns, and relationships used to model and understand real-world systems.

Linear Algebra

+10

Finding the Basis of the Null Space

Sep 28, 2026

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1 min read

Finding the Basis of the Null Space

How to solve Ax=0 and use free variables to find a basis for the null space of a matrix

Joseph Foster
Joseph Foster

Mathematics

+5

The Product Rule + Chain Rule

Sep 14, 2026

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1 min read

The Product Rule + Chain Rule

Two rules, one derivative

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

Math Education

+3

Solving Differential Equations: The Characteristic Equation

Aug 31, 2026

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1 min read

Solving Differential Equations: The Characteristic Equation

How a simple derivative property leads to the general solution

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

Investing

+4

How to Invest

Jul 27, 2026

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1 min read

How to Invest

Invest with data, not guesswork

Joseph Foster
Joseph Foster

Behavioral Finance

+7

Framing

Jun 30, 2026

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2 min read

Framing

The hidden variable behind better decisions

Joseph Foster
Joseph Foster

Investing

+5

What Is Optimization?

Jun 22, 2026

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1 min read

What Is Optimization?

Why I believe transparency and optimization should go hand in hand

Joseph Foster
Joseph Foster

Financial Literacy

+9

Complicated Accounting

Jun 15, 2026

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1 min read

Complicated Accounting

Breaking down the mathematics behind financial statements

Joseph Foster
Joseph Foster

Modern Portfolio Theory

+6

Why Portfolio Analysis Matters

May 17, 2026

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1 min read

Why Portfolio Analysis Matters

The math behind what your portfolio is really doing

Joseph Foster
Joseph Foster

Mathematics

+5

What People Get Wrong About Theories

May 5, 2026

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1 min read

What People Get Wrong About Theories

What a theory actually means, and why it matters

Joseph Foster
Joseph Foster

Modern Portfolio Theory

+8

Linear Regression: Measuring How Assets Actually Behave

Apr 26, 2026

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1 min read

Linear Regression: Measuring How Assets Actually Behave

How the best-fit model reveals the true relationship between assets and the market

Joseph Foster
Joseph Foster

This content is for informational purposes only and does not constitute investment advice.

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