sequences and series - The Perfect Sharing Algorithm (ABBABAAB . . . AB -> ABBA -> ABBABAAB This allowed me to get a computer to achieve the algorithm in many ways, but it also raised some questions Question 1: Can I repeat this forever and have it properly generate the algorithm? The algorithm is normally created by taking AB, then inverting each 2-state 'digit' and sticking it on the end (ABBA)
$A^2=AB+BA$. Prove that $\\det(AB-BA)=0$ - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
How to calculate total combinations for AABB and ABBB sets? Although both belong to a much broad combination of N=2 and n=4 (AAAA, ABBA, BBBB ), where order matters and repetition is allowed, both can be rearranged in different ways: First one: AABB, BBAA, ABAB, BABA, ABBA, BAAB (6 possible combinations) Second one: ABBB, BABB, BBAB, BBBA (4 possible combinations)
Find a generating function for the number of strings Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
How many words of length - Mathematics Stack Exchange This is kind of late, but the correct approach would be to use binomial coefficients For instance, here we have words of length 4 and we're looking for a binary chain with 2 "1"s and 2 "0"s which would translate to C(4,2), which is 6
Simplification of the sum of all 4-digit palindromic numbers Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers