https://blog-b18008.gitlab.io/tags/mathematics/ Recent content in Mathematics on iAlgorithm Hugo en-us Sun, 25 Oct 2026 16:18:00 -0700 https://blog-b18008.gitlab.io/posts/catalan-numbers-valid-bracket-sequences/ Sun, 25 Oct 2026 16:18:00 -0700 https://blog-b18008.gitlab.io/posts/catalan-numbers-valid-bracket-sequences/ A visual and algebraic proof showing why the number of valid parenthesis sequences of n pairs equals the n-th Catalan number, illustrated with lattice paths and André's Reflection Principle. https://blog-b18008.gitlab.io/posts/stars-and-bars-combinations-with-repetition/ Sun, 25 Oct 2026 11:50:00 -0700 https://blog-b18008.gitlab.io/posts/stars-and-bars-combinations-with-repetition/ A complete guide to combinations with repetition, the Stars and Bars (dividers) method, and solving bounded integer equations via Inclusion-Exclusion and Dynamic Programming.