This is a preview. Log in through your library . Abstract This paper is the first in a series which discusses computation in permutation and matrix groups of very large order. The fundamental concepts ...

The magic of mathematics is particularly reflected in magic squares. Recently, quantum physicists and mathematicians introduced the notion of the quantum magic square, and for the first time studied ...

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 ...

The major challenge when working with permutations is that the factorial function gets very, very large very, very quickly. The BigInteger data type was introduced in the .NET Framework 4.0; it ...

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 ...

Magic squares belong to the imagination of humanity for a long time. The oldest known magic square comes from China and is over 2000 years old. One of the most famous magic squares can be found in ...