The definitions of terms that are specific to mathematics, and so might not appear in a useful form in a standard dictionary, are gathered here. Summary: Glossary The definitions of terms that are specific to mathematics, and so might not appear in a useful form in a standard dictionary, are gathered here. The origin of the work algebra is the Arabic word "al-jabr" which means (roughly) "reunion". It is the science of reworking statements about equality so that they are more useful. Chapter 1 covers most of the basics of algebra. Antiderivative is another word for integral. The antiderivative of f(x) is a function F(x) so that F (x) = f(x). An Asymptote is a line that the graph of a function approaches arbitrarily close to. If such a line is horizontal we call the asymptote a horizontal asymptote; if it is vertical we have a vertical asymptote. Bending a function f(x) is the result of either scaling the function by a constant c·f(x) or scaling the function's argument by a constant f(cx). See Section 1.4. Bounded sequences A sequence is bounded above if you can find a constant that is larger than every member of the sequence. A sequence is bounded below if you can find a constant that is smaller than every member of the sequence. A sequence is bounded if it is both bounded above and bounded below. q A chord of a curve is a line that joins two points on the curve. A constraint is one of two or more equations in an optimization problem that limit the domain of the optimiza- tion problem. Typically a constraint is solved and used to eliminate a variable. The common denominator of two fraction is the smallest quantity that is a multiple of the denominator of both fractions. You must find the common denominator in order to add fractions that do not already have the Collections: Mathematics