In this paper, we compute the congruences of Catalan and Motzkin numbers modulo 4 and 8. in particular, we prove the conjecture proposed by Deutsch and Sagan that no Motzkin numbe...
Abstract— In a direct-mapped instruction cache, all instructions that have the same memory address modulo the cache size, share a common and unique cache slot. Instruction cache ...
A fundamental question of longstanding theoretical interest is to prove the lowest exact count of real additions and multiplications required to compute a power-of-two discrete Fo...