In mathematics, an equivalence relation is a relation that, loosely speaking, partitions a set so that every element of the set is a member of one and only one cell of the partition. Two elements of the set are considered equivalent (with respect to the equivalence relation) if and only if they are elements of the same cell. The intersection of any two different cells is empty; the union of all the cells equals the original set.
Read more about Equivalence Relation: Notation, Definition, Connections To Other Relations, Well-definedness Under An Equivalence Relation, Fundamental Theorem of Equivalence Relations, Comparing Equivalence Relations, Generating Equivalence Relations, Algebraic Structure, Equivalence Relations and Mathematical Logic, Euclidean Relations
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“We must get back into relation, vivid and nourishing relation to the cosmos and the universe. The way is through daily ritual, and is an affair of the individual and the household, a ritual of dawn and noon and sunset, the ritual of the kindling fire and pouring water, the ritual of the first breath, and the last.”
—D.H. (David Herbert)