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# Algebra Glossary - D a|b|c|d|e|f|g|h|i|l|m|n|o|p|q|r|s|t|u|v|w|x|y|z

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# decreasing function:

A function such that for any numbers a and b in the domain. if a > b. then f(a) < f(b).

# degree of a monomial:

The sum of the exponents of the variables.

# degree of a polynomial:

The degree of the term (or terms) of highest degree.

# dependent events:

Two events A and B are dependent if and only if (A and then B) * P(A) - P(B).

# dependent system:

A system whose gr-aphs coincide and that has infinitely many solutions.

# dependent variable:

If the value of a de- pends on the value of b, or if a is usually defined in terms of b, a is called the dependent variable. and it is graphed on the vertical axis.

# depressed equation:

The equation Q(x) = 0.  where Q(x) is the quotient when a polynomial has been divided by a factor (x - r).

# descending order:

A polynomial is written in descending order when the term with highest de- gree is written first, followed by the term with next highest degree second, and so on.

# determinant:

A real number represented by a square array of numbers.

# determinant of a matrix:

The determinant of a matrix is the determinant with the same corre- sponding elements.

# dimensions of a matrix:

The number of rows and the number of columns.

# direct variation:

Two variables are said to vary directly if and only if there is a constant of variation or (constant of proportionality) k. k ¹ 0. such that y = kx.

# directed network:

A network that indicates the direction of flow on each arc.

# directrix:

A line used in the definition of a conic section.

# discriminant:

The expression b2 - 4ac of the quadratic formula that determines several characteristics of the roots of a quadratic equation.

# dispersion:

A measure of how closely a set of data are clustered about the mean.

# distance formula:

For points P1(X1, Y1) and P2(Y1, Y2), P1P2 = Ö (X2-X1)^2 + (Y2-Y1)^2.

# diverge:

If there is no real number that is the value of an infinite series, the series diverges.

# domain of a relation:

The set of first components of the ordered pairs in the relation.

# double root:

Two roots that are alike.

Note: The terms in this collection may not be entirely accurate.
They are for reference only.