Algebra beginning with E

Algebraic Terms
Click one of the letters above to go to the page of all terms beginning with that letter.
Empty Set

A set that contains NO elements.
The empty set is displayed as {} or ϕ.

{ 3, 5, 7, 9 } NOT an empty set
{} an empty set
ϕ an empty set
Equation

A number sentence that uses an equal sign

3x = 9
2x + 4 = 8
2(x + 5) = 20
x2 + 5 = 30
y = vt
Euler's Number

The base of the natural logarithm. This is a transcendental number with approximate value of 2.71828 and is the limit of
(1 + 1/n)n as n approaches infinity.

You can see details at Wikipedia and elsewhere across the internet.

This is used in many situations. One of the most popular is in the determination of continuous compound interest.

Exponent

The number of times to use the a number in multiplication.

The exponent is placed to the upper right of the number being repeated in the multiplication ... as in 45.

Given 43, 3 is the exponent
... implying 4 x 4 x 4
Given 95, 5 is the exponent
... implying 9 x 9 x 9 x 9 x 9
c2, 2 is the exponent
... implying c x c
Exponential Numbers

Numbers that have an exponent.

72
75
a4
7a