Clock arithmetic Archives - The Nature of Mathematics

Reference Topics 5-7

May 21, 2024July 8, 2015 by elaine

Clock arithmetic and modular arithmetic
http://www.shodor.org/interactivate/discussions/morerem.html

This site gives a nice introduction to modular arithmetic.
http://betterexplained.com/articles/fun-with-modular-arithmetic/

Is there really such a thing as “infinity”?
http://www.math.toronto.edu/mathnet/plain/answers/infinity.html… See the whole entry

Problems 1-3
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend … See the whole entry

Section 5.7: Discrete Mathematics

September 24, 2015July 8, 2015 by elaine

5.7 Outline

Definition
Clock arithmetic
1. addition of a 12-hourclock
2. elementary operations
  1. subtraction
  2. multiplication
  3. zero multiplication
  4. division
Modulo five arithmetic
1. addition of a 5-hour clock
2. congruence modulo m
3. solving modular equations
Group properties for a modulo system
1. testing group properties
2. testing

… See the whole entry