Moein Dini

Moein Dini

Building AI, Math, and Order from First Principles.

Notes

This section contains my personal notes on various topics in AI, Machine Learning, and Mathematics. These are insights and summaries from my studies and projects.

Complex Numbers Course Notes

These comprehensive notes delve into the elegant world of complex analysis, exploring fundamental concepts such as analytic functions, contour integrals, Cauchy's theorem, and the residue theorem. With detailed proofs, illustrative examples, and applications to physics and engineering, they illuminate the profound beauty and utility of complex variables, from harmonic functions to conformal mappings. Ideal for undergraduates seeking a deeper understanding of this cornerstone of mathematics.

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PID that is not ED

A review on fundamental concepts in ring theory, including commutative rings, ideals, integral domains, Principal Ideal Domains (PIDs), Unique Factorization Domains (UFDs), and Euclidean Domains (EDs). It discusses examples and hierarchies, with a focus on PIDs that are not EDs, such as ℤ[(1 + √-19)/2] ⊂ ℚ(√-19).

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