What is a Relation? - Mathematics Stack Exchange
Apr 22, 2022 · In discrete math we define the relation as a sets of pairs of numbers, I understand when we write (a,b) we mean that (a) and (b) are realted what I don't grasp at all why the realtion between …
How to define a relation - Mathematics Stack Exchange
Feb 16, 2015 · Also, I'm only a month into this subject of Discrete Math, and I'm having difficulty, and I've only learned up to this point about proofs, relations, functions, sets, methods of proof, relations and …
What is meant by "Define a relation"? - Mathematics Stack Exchange
Jul 25, 2019 · The question is not asking you to define a relation, it is telling you "This is the relation we are concerned with." So your Y2 is the correct interpretation. You can quibble a bit with the use of the …
Recurrence vs Recursive - Mathematics Stack Exchange
Apr 16, 2017 · However, if you are talking about a recurrence relation, then you have a mathematical structure that you are dealing with and it is certainly different than a recursive formula.
Let $X = \\{1, 2, 3, 4, 5\\}.$ Define a relation $R = \\{(x, y)\\mid x ...
Apr 17, 2021 · It gets down to what equivalence means and why the text relation obviously isn't. In the texts case there is only one class, the class of evens: {2, 4} {2, 4} and 1, 3, 5 1, 3, 5 aren't in any class.
Equivalence relation - Mathematics Stack Exchange
1 If you can determine the equivalence classes geometrically (in this case, the straight lines having slope 1 1), and that these sets partition the plane, then you have proved that you have an …
Why do we care about equivalence relations? - Mathematics Stack …
Nov 18, 2017 · Why do we care about equivalence relations? For a specific equivalence relation reflexivity, symmetry, transitivity are always immediate (at least from what I have seen). You can e.g. …
Define a relation ∼ on Z as x ∼ y if and only if |x− y| ≤ 1. Say ...
Mar 18, 2021 · Define a relation ∼ on Z as x ∼ y if and only if |x− y| ≤ 1. Say whether ∼ is reflexive. Is it symmetric? Transitive? Ask Question Asked 4 years, 10 months ago Modified 4 years, 10 months ago
discrete mathematics - What is the right way to define a function ...
Oct 10, 2015 · The third and last option is to define both relation and function as a set of ordered pairs, as usually. But although injectivity is a property of a function, surjectivity would rather be a relation …
discrete mathematics - Identity relation vs Reflexive Relation ...
Jun 23, 2016 · An identity relation is always reflexive, but a reflexive relation is not always identity relation. the key is in the definition, it clearly states, that in identity relation element is only related to …