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hashim2424's Projects

catalan-isomorphisms icon catalan-isomorphisms

Experiments with type-safe encoding and translation of various mathematical objects which are counted by the Catalan numbers, such as Dyck paths, ordered trees, binary trees, and others.

cpp-deep-dive icon cpp-deep-dive

A C++ (cpp) repository about the unknown, lesser known, and the most important facts and concepts.

csci212lord icon csci212lord

Object-oriented algorithmic problem solving in Java, with attention to general as well as language-specific issues including applications, event-driven programming; elements of graphical user interfaces (GUIs); linked lists, recursion, inheritance and polymorphism; file I/O; exception handling; packages; applications of simple data structures; applets; concept of multi-threading; testing and debugging.

selected_chapters_from_combinatorics_and_graph_theory icon selected_chapters_from_combinatorics_and_graph_theory

Generating functions. Involution. Special Numbers (Catalan, Euler, Eulerian, Euler zigzag, Stirling, Bell, etc.). Approximations. Pólya's theory for counting. Hall's marriage theorem. Paths in an integer lattice. Kummer's, Legendre's and Lucas's Theorems and more.

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