ADVANCED ALGEBRA GLOSSARY
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Title  Description  

Ngon  When a polynomial has so many sides that we cannot easily remember its name, we just take the number of sides (n) and add "gon" to our characterization, as a 16sided polygon would be called a "16gon."  
Natural Logarithm  The base of the Natural Logarithms is e, approximately 2.718. At 100 percent annual interest with continuous compounding over a year, the multiplication factor of principal is precisely e. 

Negative Reciprocal  The product of two Negative Reciprocals is 1. When lines in Cartesian or rectangular coordinates meet at right angles they have Negative Reciprocal slopes, unless they are precisely horizontal and vertical. 

Newton's Method  An iterative method for finding roots of polynomials. 

Noncollinear  Not linear, not aligned, not part of the same line. Not collinear. 

NonEuclidean  A geometry in which the Parallel Postulate does not hold may be termed a NonEuclidean geometry. In such a geometry, the shortest distance between two points may not be a straight line. 

Nonagon  A ninesided polygon. 

Noninvertible  Chiefly a term for matrices, literally unable to be inverted. 

Nonzero  Literally, not zero. Typically used to mean either positive or negative values. 

Norm  The heavyset guy from the Boston tavern Cheers. Actually, its either a kind of average or a length. 

Normal  Usually meaning orthogonal (as to a plane), Normal sometimes means also merely perpendicular. 

Normalize  We might Normalize data by culling errors. Or we might Normalize a vector by assigning a unit vector in its direction. 

Nth Degree  Simply raised to the degree of integer (usually) n, or N. In common, everyday language, to pursue something excessively, as parents giving the suitor of their teenage daughter an interrogation "to the nth degree." 

Nth Root  Given some integer N and a real value, the Nth Root of the real value is the number that when raised to the N power returns the real value. 

Nu  Nu is the 13th letter of the Greek alphabet. 

Null Set  The Null Set is the empty set. Mathematically there is but one empty set, the unique Null Set, the set with nothing in it. 

Number Line  The real Number Line is a depiction of the set of all real numbers from negative infinity to positive infinity. All real numbers lie on the Real Number Line. 
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