ADVANCED ALGEBRA GLOSSARY
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Title  Description  

Deductive Logic  Deductive Logic is employed before events have transpired, before the fact.  
Degree, Polynomial  The Degree of a polynomial is the order, or highest power (term) of the polynomial.  
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. 

Diagonal Matrix  A square matrix with zero values everywhere except on the main diagonal (upper left to lower right) is termed a Diagonal Matrix.  
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. 

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.  
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.  
Discriminant  In the Quadratic Formula, the radicand (the business inside the squareroot sign) is the Discriminant. In general, a Discriminant provides algebraic information about the roots of polynomials. 

Disjoint  Disjoint sets have no common elements.  
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.  
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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