ALGEBRA GLOSSARY

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Title Description
Decreasing Decreasing means to lessen in extent or scope, to be reduced.
A function is considered to be Decreasing if the values in the range decrease as the values from the domain increase.
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Deductive Logic Deductive Logic is employed before events have transpired, before the fact. Play_video
Degree, Polynomial The Degree of a polynomial is the order, or highest power (term) of the polynomial. Play_video
Delta Delta is the fourth letter of the Greek alphabet.
Upper-case Delta looks like a triangle and is used to mean "the change in..."
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Denominator The Denominator of a fraction is the number on the bottom; it is the divisor of the numerator. Play_video
Dependent Variable If y = f(x), then y is a function of x and y is the Dependent Variable.
Think of it this way: whatever we get for output "y" depends on the input "x" we grab from the domain of the function.
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Determinant A Determinant is a number associated with a square matrix.
It may also be a cofactor, a number associated with a square array from a larger matrix.
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Diagonal Matrix A square matrix with zero values everywhere except on the main diagonal (upper left to lower right) is termed a Diagonal Matrix. Play_video
Dimension, Matrix The Dimension of a matrix is its order, or size.
We label the order of a matrix by its number of rows then its number of columns.
A 4x3 matrix is read as "a four by three matrix" and has four rows and three columns.
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Direct Proportion When variables are in Direct Proportion to one another they have the relation that as one variable grows the other either increases or decreases by a constant multiplication factor.
When y = kx, we say the variables are in Direct Proportion.
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Direct Variation Also direct proportion, Direct Variation describes the relation y = kx. Play_video
Discontinuity When a function is literally not continuous because of a gap, a step, a hole, or any kind of "break" it is considered discontinuous. Play_video
Discrete Function When the inputs from the domain of the function are not smooth and continuous but rather incremental, the function is considered to be a Discrete Function. Play_video
Discriminant In the Quadratic Formula, the radicand (the business inside the square-root sign) is the Discriminant.
In general, a Discriminant provides algebraic information about the roots of polynomials.
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Disjoint Disjoint sets have no common elements. Play_video
Distance Formula The familiar Distance Formula in Cartesian (rectangular) coordinates is a version of the Pythagorean Theorem, where the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Play_video
Distributive Property The familiar Distance Formula in Cartesian (rectangular) coordinates is a version of the Pythagorean Theorem, where the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Play_video
Divergent Geometric Progression An infinite geometric progression (or a significant portion of one) is termed Divergent when its common ratio has an absolute value less than or equal to -1, or greater than or equal to 1. Play_video
Domain The values that are "legal" and "legitimate" to put into a function are the elements of the Domain of that function.
When y = f(x), the legitimate values of x are the Domain of the function.
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Dot Product A product of vector multiplication, the Dot Product is a scalar, which means it has magnitude only and not an associated direction.
The Dot Product does not result in another vector.
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Doubling Time The time it takes an exponential or geometric growth to double in size (grow by 100 percent of the original value) is its doubling time. Play_video

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