Algebra Topics
- Addition
- The operation of finding the sum of two or more quantities.
- Additive Identity
- The additive identity is the number zero, because zero will not change a number when added to it: a + 0 = a for all a.
- Additive Inverse
- The addition of number and it′s additive inverse is zero. The additive inverse of a number a is -a, also known as the opposite of a, such that a + (-a) = 0. For example, 1 + (-1) = 0.
- Algebra Books
- Lists all Algebra Books in the Encyclopaedia
- Algebra Calculations
- Lists all Algebra Calculations in the Encyclopaedia
- Algebra Conversions
- Lists all Algebra Conversions in the Encyclopaedia
- Algebra Weblinks
- Lists all Algebra Weblinks in the Encyclopaedia
- Algebraic
- Defined by the basic algebra operations of addition, subtraction, multiplication (including powers), and division.
- Algebraic Equation
- An equation of the form f(x)=0 where f is a polynomial.
- Algebraic Number
- A number that is the root of an algebraic polynomial.
- Antilogarithm
- x=by is called the antilogarithm of y to the base b.
- Binary Operation
- An operation that involves two operands.
- Binomial
- An expression that is the sum of two terms.
- Binomial Theorem
- This gives the form of the expansion of any positive integral power of a binomial (x+a)n as a polynomial.
- Biquadratic Equation
- A polynomial equation of the 4th degree.
- Briggsian Logarithm
- Another name for the Common Logarithm.
- Cauchy-Schwarz Inequality
- The dot product of two vectors cannot be greater in magnitude than the product of the magnitudes of the vectors.
- Common Denominator
- A multiple shared by the denominators of two or more fractions.
- Common Fraction
- A fraction whose numerator is an integer of smaller value than its denominator.
- Common Logarithm
- Logarithm in which the base is 10.
- Complex Numbers, Logarithms of
- A complex number expressed in logarithmic form.
- Cubic Equation
- An equation of the third order.
- Degree
- A unit describing a plane angle, 1 degree = 1/90 right angle.
- Denominator
- The quantity or value on the bottom of a fraction.
- Difference
- The difference between two numbers is what you get when you subtract one from the other.
- Division
- The binary operation of finding the quotient of two quantities.
- Dot Product
- The dot product of two vectors is obtained by adding the products of the respective components of the vectors.
- Egyptian Fraction
- A number of the form 1/x where x is an integer is called an Egyptian fraction.
- Eigenvector of a Matrix
- An eigenvector of a square matrix A is a nonzero vector x such that Ax = cx holds for some scalar c.
- Elementary Function
- One of the functions: rational functions, trigonometric functions, exponential functions, and logarithmic functions.
- Equation
- A statement that two expressions are equal to each other.
- Exponential Constant
- The base of natural (Napierian) logarithms e = 2.718281...
- Exponential Smoothing
- A statistical technique commonly used to forecast time series data or to smooth the values on a control chart.
- Fraction
- A ratio of two integers, or any number that can be expressed as such a ratio.
- Improper Fractions
- A fraction whose numerator is of greater absolute value than it's denominator.
- Latent Vector
- Another name for Eigenvector.
- Least Common Multiple
- The least common multiple of a set of integers is the smallest integer that is an exact multiple of every number in the set.
- Linear Equations
- A first order differential equation is linear if it has the form: y′=A(x)B(y)
- Linear Function
- A function of the form y=ax+b.
- Logarithm
- The power to which a base must be raised to yield a given number.
- Logarithm of Complex Numbers
- A complex number expressed in logarithmic form.
- Lowest Common Denominator
- The smallest number that is exactly divisible by each denominator of a set of fractions.
- Magnitude
- The size of a vector quantity.
- Multinomial
- An algebraic expression consisting of 2 or more terms.
- Multiple
- The integer b is a multiple of the integer a if there is an integer d such that b=da.
- Multiples
- The product of multiplying a number by a whole number. The multiples of 3 are 6, 9, 12, 15,…
- Multiplication
- In arithmetic, multiplication of one number, a, by another, b, consists of adding a to itself b times.
- Multiplication Factor
- The number of times something is multiplied.
- Multiplication Rule
- The probability that events A and B both occur, is equal to the conditional probability that A occurs given that B occurs, times the unconditional probability that B occurs.
- Multiplicative Inverse
- The number that when multiplied by the original number will result in a product of one.
- Napierian Logarithm
- Another name for the Natural or Common Logarithm.
- Natural Base of Logarithms
- e = 2.71828…
- Natural Logarithm
- Logarithm in which the base is e.
- Proper Fractions
- A fraction whose numerator is of lower absolute value than it's denominator.
- Quadratic Equation
- An equation of the second order.
- Quadrinomial
- An algebraic expression consisting of 4 terms.
- Scalar
- Any quantity that has only magnitude as opposed to both magnitude and direction.
- Simple Fraction
- A fraction whose numerator is an integer of smaller value than its denominator.
- Subtraction
- The binary operation of finding the difference between two quantities.
- Trinomial
- An algebraic expression consisting of 3 terms.
- Unit Fraction
- A fraction whose numerator is 1.
- Unit Vector
- A vector with a length of 1.
- Vector
- A quantity with a magnitude and a direction.
- Vector Space
- The three dimensional area where vectors can be plotted.
- Vulgar Fraction
- A rational number expressed as a ratio rather than as a decimal fraction.
See also: Algebraic.
Subjects: Mathematics