What is the relationship between the properties of set operations and binary functions?
for example:
what is the relationship between union and ( upside down V ) ?
Relationship between intersection and V ?
for example:
Comments
One Response to “What is the relationship between the properties of set operations and binary functions?”Speak Your Mind
Tell us what you're thinking...and oh, if you want a pic to show with your comment, go get a gravatar!
I really don’t know the relationship between the properties of set operations and binary functions but I hope this info helps you.
The two V-signs you were talking about are for propositions. Propositions are declarative statements that can be true or false but not both. They are usually in sentence form but a proposition can be represented by a single letter like p or q.
The ^ sign ( the inverted V sign ) is the sign for conjunction. It means that using two propositions p and q, you form the new proposition “p ^ q” or “p and q”. This new proposition is true if both p and q are true and false if otherwise. Then, we can say that it is like intersection.
The v sign is the sign for disjunction. It is used in the same manner as ^, but the new proposition it makes is false only if both p and q are false and true if otherwise. Then, we can say that it is like union.
Think of two overlapping circles inside a rectangle. Color one circle yellow and the other blue so that the intersecting part is green.
Intersection or ^ refers to the green area, while both the circles including the green part is the union or the v sign.