Equivalence
Relationship between mathematical objects for which the representations - numerical, logical, statistical, etc. - have the same value.
Examples
- The equations 2x + 6x - 12 = 0 and 4x = 6 are equivalent equations because they have the same solution set.
- A square with 10 cm sides and a rectangle that is 20 cm by 5 cm are equivalent quadrilaterals, because they have the same area.
- The propositions "P: All humans are mortal" and "Q: All multiples of 2 are even" are logically equivalent propositions because they are both true.