Glossary


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F

Function

Function is a relation or correspondence between two sets in which one element of the second (codomain or range) set ƒ(x) is assigned to each element of the first (domain) set x.


I

Identity

Identity is an equality that remains true regardless of the values of any variables that appear within it. 


Infinity

Infinity is a quantity or set of numbers without bound, limit or end, whether countably infinite like the set of integers, or uncountably infinite like the set of real numbers (represented by the symbol ∞). 


Integers

Integers are whole numbers, both positive (natural numbers) and negative, including zero. 


Integral

Integral is the area bounded by a graph or curve of a function and the x axis, between two given values of x (definite integral), found by the operation of integration. 


Integration

Integration is the operation in calculus (inverse to the operation of differentiation) of finding the integral of a function or equation. 


Irrational numbers

Irrational numbers are numbers that can not be represented as decimals (because they would contain an infinite number of non-repeating digits) or as fractions of one integer over another, e.g. Π, √2, e. 


L

Limit

Limit is the point towards which a series or function converges, e.g. as x becomes closer and closer to zero, (sin x)⁄x becomes closer and closer to the limit of 1. 


Line

Line is a one-dimensional figure following a continuous straight path joining two or more points, whether infinite in both directions or just a line segment bounded by two distinct end points. 


Linear equation

Linear equation is an algebraic equation in which each term is either a constant or the product of a constant and the first power of a single variable, and whose graph is therefore a straight line, e.g. y = 4, y = 5x + 3. 



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