G^N vs Set Theory for Computing

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).

Set Theory for Computing is an independent study app for learners who want focused practice in the mathematical foundations behind programming, databases, algorithms, logic, and discrete math. Work through 160 questions across Fundamentals, Practical Skills, Common Pitfalls, and Advanced Concepts. Every question includes an explanation, so you can review why an answer is right and where your reasoning went off track. Features: - FSRS spaced-repetition intervals for efficient review - Weak-point heatmap to show topics that need attention - Daily challenge for consistent practice - Mock exams for timed review sessions - Offline practice for studying anywhere - No login required Use it for class review, interview prep, self-study, or brushing up on proofs, relations, functions, logic, and notation. Independent study app for Set Theory for Computing practice. Not affiliated with, endorsed by, or sponsored by any company, certification body, exam operator, or vendor. All trademarks belong to their respective owners. Practice offline, no login required.