Relation mathematics - Remarks - Article Index

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Remarks
Relations are classified according to the number of sets in the cartesian product, in other words the number of terms in the expression: ...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Remarks
Because a relation as above defines uniquely an n-ary predicate that holds for x1, ..., xn if (x1, ..., xn) is in G(R), and vice versa, t...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Formal Definitions
There are two definitions of k-place relations that are commonly encountered in mathematics. In order of simplicity, the first of these d...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Formal Definitions
There are two definitions of k-place relations that are commonly encountered in mathematics. In order of simplicity, the first of these d...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Definition
A relation over the sets X1, ..., Xn is an (n + 1)-tuple R=(X1, ..., Xn, G(R)) where G(R) is a subset of X1 × ... × Xn (the Cartesian p...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Example: Divisibility
A more typical example of a 2-place relation in mathematics is the relation of divisibility between two positive integers n and m that is...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Informal Introduction
The definition of relation given in the next Section formally captures a concept that is actually quite familiar from everyday life. For ...   » Read the article

Encyclopedia - Relation Mathematics: Encyclopedia Ii - Relation Mathematics - Example: Coplanarity
For lines L in three-dimensional space, there is a ternary relation picking out the triples of lines that are coplanar. This does not red...   » Read the article