Table of Contents
What are Equivalence Relations?
An equivalence relation is a binary relation that is reflexive, symmetric, and transitive. Reflexive means that for every element in the set, the relation holds between that element and itself. Symmetric means that for every pair of elements in the set, if the relation holds between them, it also holds between the inverse of those elements. Transitive means that if the relation holds between two elements and between those elements and a third element, it also holds between the first two elements.
Connection of Equivalence Relation
An equivalence relation is a binary relation on a set that is reflexive, symmetric, and transitive. Reflexivity means that for every element in the set, the relation holds between that element and itself. Symmetry means that for every two elements in the set, if the relation holds between them, it also holds between their inverses. Transitivity means that if the relation holds between three elements in the set, it also holds between any two of those three elements.
Connection of Equivalence Relation to other relations
The equivalence relation is a binary relation that is reflexive, symmetric, and transitive. Reflexivity means that each element in the set is related to itself. Symmetry means that if A is related to B, then B is related to A. Transitivity means that if A is related to B and B is related to C, then A is related to C.
A Few key points to remember
1. You can only deduct home mortgage interest on the first $1 million of mortgage debt.
2. You can only deduct interest on home mortgage debt that is used to purchase, build, or improve your home.
3. You can only deduct interest on home mortgage debt up to the amount of your home’s fair market value.
