axiom
A statement accepted as true without proof.
closure
The condition that produces a unique element in the sum or product of two original elements.
domain
The set composed of first elements from a set of ordered-pair numbers.
element
One member of a set.
empty set
A set with no elements.
equal sets
Sets whose elements are identical.
equivalent sets
Sets that contain the same number of elements
exponent
A small-sized number placed at the right of and above a symbol that indicates the number of times the symbol appears as a factor.
exponential notation
A shorthand expression for repeated multiplication.
finite set
A set in which the number of elements is possible to reach or exceed by counting
function
A set of ordered-pair numbers such that for each first element there exists a unique second element.
infinite set
A set in which the number of elements is limitless.
integer
Any one of the numbers from negative infinity to positive infinity.
intersection of sets
A set whose elements are common to two other sets.
inverse of a function
A set of ordered-pair numbers in which the range and domain sets are interchanged.
natural numbers
Any one of the numbers from positive one to infinity.
operation
One of two mathematical procedures: addition or multiplication.
range
The set composed of second elements from a set of ordered-pair numbers.
relation
A set or ordered-pair numbers.
set
A collection of objects, concepts, or symbols.
subset
A set whose members are also members of a second set.
theorem
A statement requiring proof.
union of sets
A set whose elements appear in either of two other sets.
whole numbers
Any one of the numbers from zero to infinity.