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A rule that assign each element in a set A exactly one element in a set B

an operation with funtions refers to a mathematical manipulation or procedure applied to one or more functions to produce another function or to analyze properties of functions.

simply an ordered list of numbers.

can be derived from the given sequence by deleting some or no elements without changing the order of the remaining elements.

If n items are put into m containers, with n > m, then atleast one container must contain more than one item.

sets that can be put into a one to one correspondence with the natural numbers, meaning you can count each element in the set.

Sets that cannot be put into a one to one correspondence with the natural numbers.

comparing two functions and the efficiency of different algorithms that solve the same problem.

this provides an upper bound on the growth rate.

provides lower bound.