4/7/2023 0 Comments Nota matematik tingkatan 1![]() Antisymmetric for all x, y ∈ X, if xRy and yRx then x = y. For example, "is a blood relative of" is a symmetric relation, because x is a blood relative of y if and only if y is a blood relative of x. Symmetric for all x, y ∈ X, if xRy then yRx. The previous 2 alternatives are not exhaustive e.g., the red binary relation y = x 2 given in the section § Special types of binary relations is neither irreflexive, nor reflexive, since it contains the pair (0, 0), but not (2, 2), respectively. For example, > is an irreflexive relation, but ≥ is not. Irreflexive (or strict) for all x ∈ X, not xRx. For example, ≥ is a reflexive relation but > is not. Some important properties that a relation R over a set X may have are: In the boolean maxtrix representing R div, the element in line x, column y is " ".A vertice from x to y exists in the directed graph representing R div.A path from x to y exists in the Hasse diagram representing R div.The representation of R div as a boolean matrix is shown in the left table the representation both as a Hasse diagram and as a directed graph is shown in the right picture. Illustration of an example relation on a set A =. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |