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Add comprehensive study notes on math, CS, networking, and AI#23

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Add comprehensive study notes on math, CS, networking, and AI#23
blackboxprogramming wants to merge 1 commit intomainfrom
claude/add-notes-math-repo-ayOkB

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Summary

This PR adds a comprehensive collection of structured study notes covering mathematics, theoretical computer science, physics, programming, networking, and AI architecture. The notes are organized hierarchically with cross-references connecting related concepts.

Key Changes

  • Math notes: Added coverage of complex numbers (conjugates, Euler's formula), modular arithmetic (clock arithmetic, congruence properties), and linear algebra (function spaces, scalar-product associativity)

  • Theoretical CS notes: Added the Halting Problem (Turing's undecidability proof, h/h+ construction, self-reference paradox) and paradoxes & self-reference (Liar paradox, Cantor diagonalization, Monty Hall Trolley Problem)

  • Physics notes: Added Schrodinger equation with explanation of wave functions, Hilbert space, and the role of complex numbers in quantum mechanics

  • Programming notes: Added Python mutability & references guide with detailed trace of list aliasing behavior and += rebinding semantics

  • Networking notes: Added IPv4 subnetting (complete CIDR table, binary calculations, private ranges), DNS resolution flow and hierarchy, and VLAN configuration (Cisco switch commands)

  • AI Architecture notes: Added agentic patterns documentation covering single vs multi-agent systems, seven key patterns (parallel, sequential, loop, router, aggregator, network, hierarchical), and BlackRoad architecture examples

  • Puzzles & misc: Added Connect All 9 puzzle (triangular numbers/termials) and orbital mechanics (Kepler's laws, 3D orbital visualization)

  • Repository structure: Added comprehensive README with topic map showing connections between different areas of study

Notable Implementation Details

  • Notes use ASCII diagrams and visual representations for complex concepts (DNS hierarchy, orbital mechanics, agent patterns)
  • Cross-references between notes establish connections (e.g., Python mutability relates to agentic architecture shared state, IPv4 subnetting uses binary math from modular arithmetic)
  • Each note includes a "Connections" section linking to related topics
  • Topic map in README visualizes the conceptual relationships across all notes

https://claude.ai/code/session_01NjBsBE6Zv1Z8z8TX347B3N

Transcribed handwritten notes and reference materials into organized
markdown covering: complex numbers, modular arithmetic, linear algebra,
the halting problem, paradoxes, quantum mechanics, Python mutability,
VLAN configuration, IPv4 subnetting, DNS, agentic architectures,
and math puzzles. All notes are cross-linked with a topic map index.

https://claude.ai/code/session_01NjBsBE6Zv1Z8z8TX347B3N
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