# 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 well-defined 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.
Equality A statement where two or more values are deemed to have an equal or identical value is a statement of Equality.
Equation A statement of equality, or equal value, is termed an Equation.
When we solve an Equation we solve for some entity or value that makes the statement true.
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.
Evaluate When we Evaluate an expression we determine its value or the value of some entity within it to (typically) make the statement true.
Even Function Even Functions are symmetrical about the y-axis, provided they are expressed as y = f(x).
Even Functions adhere to the following: f(-x) = f(x).
Exact When a value is an Exact value it is either precise or equal to a given value or standard value.
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.
Explicit Ideas or notions directly expressed or understandable are considered Explicit.
Exponent Usually written as a superscript, an Exponent is a number or entity to which some other value is raised, as a power.
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.
Expression A mathematical statement of almost any kind is considered an Expression.
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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