Quotes About Clock arithmetic

Mathematicians call it "the arithmetic of congruences." You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o'clock, and you add 9 hours, what do you get? Well, you get five o'clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ? 5 (mod 12), pronounced "eight plus nine is congruent to five, modulo twelve.

one-way functions are sometimes called Humpty Dumpty functions. Modular arithmetic, sometimes called clock arithmetic in schools, is an area of mathematics that is rich in one-way functions. In modular arithmetic, mathematicians consider a finite group of numbers arranged in a loop