Equivalence Classes Modulo m

​

m
7
n
26
labeling
The idea is to visualize how the equivalence relation of congruence modulo
m
induces a partition on

. You can see how the first
n
natural numbers relate to the rest after the dividing by
m
. Also, notice that the number of connected components of the graph is nothing but the number of classes, which is the number of elements in

p
.

External Links

Equivalence Relation (Wolfram MathWorld)

Permanent Citation

Pablo Alberca Bjerregaard
​
​"Equivalence Classes Modulo m"​
​http://demonstrations.wolfram.com/EquivalenceClassesModuloM/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011