We give new proofs of theorems on alternating subsets of integers by means of bijective transformations. It is shown that all known results are consequences of a simple result on the residue class of ...

Get ready to use the BigInteger data type as Dr. James McCaffrey of Microsoft Research demonstrates zero-based mathematical permutations with C#. A zero-based mathematical permutation of order n is a ...

Rajeev Dhir is a writer with 10+ years of experience as a journalist with a background in broadcast, print, and digital newsrooms. Khadija Khartit is a strategy, investment, and funding expert, and an ...

Four. Three. One. Five. Two. Nothing happens. The evil genius Derango is loading a cataclysmic computer virus that, when launched, will lock the entire world out of the internet. In five minutes, no ...