Set Theory Concepts

noun A connection between two or more things.

verb To become a member of a group or organization.

• I would like to extend an invitation for you to join our prestigious organization.
• Hey, do you want to join us for dinner tonight?
• Yo, you should totally join our squad, it's lit!
• Joining forces with our competitors could lead to a successful merger.

noun the greatest or highest possible degree

adjective relating to or being a maximum

• The algorithm aims to find the maximal value in the dataset.
• Let's try to get the maximal score on this test.
• I'm going for the maximal level in this game.
• She reached the maximal potential of her creativity.

adjective describing something that is not connected or linked together

• The two pieces remained unjoined despite multiple attempts to connect them.
• I tried to put the puzzle together, but some pieces were unjoined.
• I couldn't get the necklace clasp to work, so now it's just unjoined.
• Their opinions on the matter were unjoined, leading to a lack of consensus.

adjective relating to or characterized by injection, especially denoting a function in which each element of the domain is mapped to a distinct element in the codomain

• The function is injective if each element in the domain maps to a unique element in the codomain.
• An injective function means that each input has its own distinct output.
• If the function is injective, it means each number gets its own special spot.
• Being injective is like having a one-to-one correspondence between two sets.