ADVANCED ALGEBRA GLOSSARY

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Title Description
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.
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Coefficient Matrix A matrix comprised of coefficients which can be used to solve a system of equations. Play_video
Column, Matrix Strictly speaking, a Column Matrix is often a single column.
More generally, a column is a vertical array of elements within a matrix.
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Combinations Combinations are calculated to be the number of ways that a number of objects may be selected from a group of objects. Play_video
Combinatorics The branch of math that provides calculations for the selection of a number of elements from a set is called Combinatorics. Play_video
Common Logarithm The base-ten logarithm is often called the Common Logarithm. Play_video
Common Ratio In a geometric progression, subsequent terms are obtained by multiplication of terms by a constant called the Common Ratio. Play_video
Complement of an Event The complement of an event pertains to probability.
If the probability of an event is x, then the probability of the complement of that event is 100 percent minus x.
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Complex Conjugate The Complex Conjugate of (a + bi) is (a - bi).
The Complex Conjugate of (c - di) is (c + di).
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Complex Number All numbers, as it turns out, are complex.
When the "imaginary part" has a zero coefficient, the number is purely real.
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Complex Plane The complex number plane is required to map or plot complex numbers because the complex numbers themselves have two components. Play_video
Conic Section Any of the various geometric entities that are formed by slicing a cone (or double cone) are termed Conic Sections.
The list includes: circles, ellipses, parabolas, and hyperbolas.
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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. Play_video
Continuous Compounding When an entity experiences Continuous Compounding it grows unceasingly and constantly, that is, the addition of some portion of its size to its size happens all of the time.
Bacterial growth and population growth are often considered to be functions of Continuous Compounding.
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Continuous Function When the graph of a function has no holes, no gaps, no steps, or no discontinuities, then it is considered Continuous.
It may have cusps.
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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. Play_video
Correlation Coefficient We typically use "r" for the Correlation Coefficient.
When two variables are strongly correlated, that is, have a strong linear relationship, r will have a value that approaches either 1 or -1, depending on whether the variables increase with respect to each other.
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Cramer's Rule Cramer's Rule provides a matrix manipulation to solve simultaneous equations. Play_video
Cross Product A product of vectors that generates another vector is often a Cross Product. Play_video
Cubic A Cubic is a third-order polynomial. Play_video

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