modular-functions

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Kobayashi2501 / Structural-Proof-of-Hilbert-s-12th-Problem-via-Categorical-Degeneration-in-AK-HDPST

via AK High-Dimensional Projection Structural Theory (AK-HDPST) This repository presents Version 4.0 of a formally structured and constructively resolved version of the Hilbert's 12th Problem, built upon: Collapse Theory (PH₁/Ext¹ obstruction vanishing) Type-theoretic realization

persistent-homology tropical-geometry class-field-theory derived-category modular-functions ak-theory hilbert-12th-problem abelian-extensions categorical-mathematics proof-of-unsolved-problem

Updated Jul 31, 2025
TeX

MalikShujaatAli / CppEssentials

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47 self-contained C++ reference programs covering arrays, strings, loops and core language mechanics.

sorting-algorithms search-algorithms user-defined-structures string-processing array-manipulation dynamic-memory-allocation file-input-output core-principles enumeration-types modular-functions iterative-loops

Updated Sep 17, 2026
C++

MuhammadArhaam / Smart-Grocery-Store-Inventory-and-Billing-System

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Smart Grocery Store System (C++) A console-based inventory & billing system with file handling, dynamic memory, 2D arrays, and modular functions. Supports admin/product management, customer cart, billing with discounts, and transaction records

pointers filehandling 2d-arrays dynamicmemory modular-functions

Updated Jun 29, 2025
C++

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