Exploring the elegance of mathematics

A collection of notes on calculus, analysis, and number theory. Written for those who appreciate mathematical beauty and rigorous proofs.

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e^iπ + 1 = 0

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2026-04-15|

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15. Bayesian Statistics & AI: Bayes' Theorem Explained

The future of statistics is Bayesian. Understand the difference between Bayesian and Frequentist thinking, master Bayes' Theorem, and see how this math powers Artificial Intelligence.

2026-04-14|

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14. Linear Regression: Predicting the Future with a Line

Turn correlation into prediction. Learn how to draw the 'Line of Best Fit' using the Least Squares Method, interpret the Slope, and measure accuracy with R-Squared.

2026-04-13|

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13. Correlation vs. Causation: The Ice Cream & Shark Attack Fallacy

Learn why correlation does not equal causation. Master scatterplots, the Pearson Correlation Coefficient (r), and how to identify spurious relationships.