G^N vs Discrete Mathematics Basics

G^N is a special calculator not just a game: This math app animates iterations of one or compositions of two multi-valued maps for free groups of in principle arbitrary finite rank in the abelian and non-commutative cases respectively (in this version the rank is restricted to values in between 2 and 11). Well-known examples of such multi-valued maps are permutations, for example the flip (x_1,x_2)->(x_2,x_1), in G^N we just write (1,2)->(2,1) and instead of the inverse we convenient flip the number. A more involved type of such a multi-valued map is the n+1 cycle defined by (1,...,n)->(-2-3-...-n-1,3,4,...,n,1), a non-trivial theorem. For example if n=2 this map is the hexagon (1,2)->(-2-1,1), this map applied twice reads (1,2)->(2,-2-1) and the third iteration is the identity map (1,2)->(1,2).

Discrete Mathematics Basics is an independent study app for building strong foundations in logic, proofs, sets, relations, functions, counting, and graph theory. Designed for computer science students, math majors, self-taught learners, and interview preparers, it includes 160 questions across Fundamentals, Practical Skills, Common Pitfalls, and Advanced Concepts. Key features: - FSRS spaced-repetition scheduling for efficient review - Weak-point heatmap to spot recurring mistakes - Daily challenge to keep your streak - Mock exams for timed practice - Clear explanations for every question - Offline practice, no login required Independent study app for Discrete Mathematics Basics practice. Not affiliated with, endorsed by, or sponsored by any company, certification body, exam operator, or vendor. All trademarks belong to their respective owners. Privacy: Practice offline, no login required.