ADVANCED ALGEBRA GLOSSARY
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Title  Description  

e, Base of Natural Logarithm  A very important number, e is approximately 2.718281828459045.  
Eccentricity  A parameter of conic sections. Eccentricity is itself rather eccentric, or out of the ordinary. 

Element  Element has a lot of meanings. Each entry in a matrix is an Element. Each object in a set can be termed an Element. A constituent or piece of something bigger is also called an Element. 

Ellipse  One of the conic sections, an Ellipse is a plane figure with welldefined properties that often include vertices and a major axis and a minor axis.  
Empty Set  The Empty Set is also called the Null Set. It is the set with nothing in it, and there is but one Null Set (or Empty Set). 

Epsilon  The fifth letter of the Greek alphabet is Epsilon.  
Equivalence  When we establish Equivalence we set forth two or more equivalent or equal entities.  
Eta  Eta is the seventh letter of the Greek alphabet.  
Exclusion  Exclusion means to leave out or to not include some value, either from a set or for consideration into a set of values.  
Expansion By Cofactors  Expansion By Cofactors is a process to evaluate matrix values such as determinants by taking a sum of values generated by the sum of cofactor products.  
Expected Value  The Expected Value is, statistically, the real number or value that is most likely to occur for some event when examined as an average value. The Expected Value may not actually be an obtainable value; it is an average value. 

Exponential Decay  When an established quantity loses value and decreases by some constant percentage over some constant period of time it is considered to experience Exponential Decay.  
Exponential Function  An Exponential Function employs the independent variable as an exponent on a constant. If expressed as y = f(x), the Exponential Function will pass through (0,1). Such a function is the inverse to a logarithmic function. 

Exponential Growth  When an established quantity gains value and increases by some constant percentage over some constant period of time it is considered to experience Exponential Growth.  
Extraneous Solution  Sometimes we perform mathematical manipulations and obtain solutions that do not make sense but nevertheless are obtained by following the rules of, say, algebra. Such solutions are termed Extraneous. Often they do not strictly satisfy the original conditions of the problem that was solved. 

Extremum  The highest and lowest values for the output of a function are called Extremum, the singular form of plural extrema. 
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