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Brackets
grouping symbol;
multiplication;
closed interval

Parenthesis
grouping symbol;
multiplication;
open interval;
coordinates

Union
set including all elements of both sets

Intersection
set including only elements in both sets

frequency;
function notation: 𝑓 (𝑥)

Complex
all numbers that are real, imaginary, or the sum
real + imaginary

Exponentation
base b, used as a factor n
(called the exponent)
times = power (p)

Logarithm
the log, base b, of the power p is the index (n)

Greek Letter Lambda
wavelength

Greek Letter Mu
prefix micro (x 10⁻⁶)

Parameters or Constants

sets;
matrices;
defined quantities

Variables

Names of Points

Greek Letter Phi
golden ratio (~ 1.618);
3D azimuthal angle;
φ "is an element of" Algebraic Numbers

Greek Letter Pi
ratio between the circumference and diameter of a circle (approx 3.142);
"an element of" Transcendental Numbers

Greek Letter Delta
difference or change

Greek Letter Beta
angle variable

named triangle
named circle

angle
measure of an angle

Greek Letter Alpha
angle variable

Greek Letter Theta
angle variable;
2D polar angle;
3D azimuthal angle

Vector
quantity with both magnitude and direction

Transpose
transpose matrix swaps the rows and columns

Antiderivative
inverse process to differentiation;
equivalent to the integral

Inverse Function
maps each value in the range back to exactly one value in the domain

Definite Integral
bounded area under the curve between 𝑎 and 𝑏

Evaluate between a and b
𝑎 is the lower limit
𝑏 is the upper limit

Indefinite Integral
sum over a continuous interval;
unbounded area under the curve

Matrix
rectangular array of expressions arranged in rows and columns treated as a singular entity

There Exists a Unique
Exactly one value of the variable satisfies the condition

There Exists
At least one value of the variable satisfies the condition

For All
for every;
All values of the variable satisfy the condition

Absolute Value
magnitude;
distance;
always positive

Slope
ratio of the vertical change (∆𝑦) to the horizontal change of (∆𝑥)

Derivative
instantaneous slope;
change of a variable or function
with respect to another variable

Degree Fahrenheit
unit for the Fahrenheit temperature scale

Degree Celsius
unit for the Celsius temperature scale

Biconditional (iff)
if and only if

Conditional
implies;
if, then

Midpoint

Octant
O₁

Roman Numeral Fifty

Roman numeral one thousand;
prefix mega (x 10⁶)

Apothem

𝑦-intercept;
base

denominator;
diameter;
diagonal;
distance

horizontal translation;
height;
prefix hecto (x 10²)
