BASIC ALGEBRA GLOSSARY

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Title Description
Cardinal Number The number of objects or elements within a set is the Cardinal Number of the set.
Cartesian Coordinates The familiar x-y coordinate plane is called the plane of Cartesian Coordinates; it is named for Rene Descartes.
Cartesian Plane The Cartesian Plane contains the familiar x-axis and y-axis in which we plot ordered pairs.
It is the familiar Rectangular Coordinate system.
Change-of-Base Formula There is an easy way to change the bases between logarithms.
A simple formula, the Change-of-Base formula is an acquired taste.
Chi The twenty-second letter of the Greek alphabet.
Closed Interval A segment of the real number line including the endpoints.
Coefficient A number that indicates the multiple of an algebraic term.
Cofactor Typically the result of taking a determinant, it is a number associated with an element in a matrix.
Common Logarithm The base-ten logarithm is often called the Common Logarithm.
Common Ratio In a geometric progression, subsequent terms are obtained by multiplication of terms by a constant called the Common Ratio.
Composite Number Composite Numbers relate to positive integers that are not prime.
If a positive integer has factors other than itself and one, it is a Composite Number.
Compound Interest When the Time Value of Money generates interest and that interest is added to the principal to increase the amount of money to which subsequent interest is added, this is Compound Interest.
Computation Computation is the act of taking values and logical mathematical steps to make a calculation.
Conclusion When mathematical conclusions are valid the laws of math and science have been adhered to, and a logical approach has been taken.
Sometimes conclusions are invalid because scientific or mathematic rigor has not been adhered to.
Reason and judgment are often important to reaching sound or valid conclusions.
Conjugates Conjugates multiply to simpler entities based on changing the operator between terms of each conjugate from positive to negative, or vice versa.
Consistent System of Equations When a system of equations has at least one solution (and most often a unique solution) the equations are said to be Consistent.
Constant A mathematical value that never changes is said to be constant.
Real numbers are constants because their value never changes.
In a polynomial, a term with a variable (or variables) raised to the zero power is constant.
Continuous A function is considered Continuous if its graph has no gaps, no holes, no steps, and no cusps or discontinuities.
Coordinate A value associated with the location of a point is a Coordinate.
In one dimension a Coordinate is a single value.
In two dimensions, a point is defined by two Coordinates as an ordered pair.
Coordinate Plane Two-dimensional entities are graphed or plotted in a plane, such as the rectangular plane or Cartesian Plane.
Two-dimensional polar coordinates are also plotted in a plane.
It requires an ordered pair to specify a location in a plane.
Correlation When two variables have a strong linear relationship, either increasing proportionally or one variable decreasing as the other increases, we say there is (strong) Correlation between the variables.
Countable In common language, countable just means reasonably enumerated or countable, as in there are not too many objects to physically count.
In human terms, the grains of sand in the Sahara Desert are not countable.
But mathematically they actually are.
So Countable means something a little different to the mathematicians.
Cube Root The Cube Root of a real value is the number that when raised to the third power equates to the original real value.
Cubic A Cubic is a third-order polynomial.

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