Symbol	What it is	How it is read	How it is used	Sample expression
	Addition sign Logical OR symbol	... plus ... ... or ...	Sum of a few values Logical disjunction	3 + 5 = 8 ¬(A + B) = ¬A * ¬B
	Multiplication sign Logical AND symbol	... times ... ... and ...	Product of two values Logical conjunction	3 x 5 = 15 ¬(A * B) = ¬A + ¬B
	Multiplication sign	... times ...	Product of two values	3 x 5 = 15
	Multiplication sign	... times ...	Product of two values	3 · 5 = 15
	summation sign	The summation of ...	Sum of many or infinitely many values
	Integral sign	The integral of ...	integration
	double integral sign	The double integral of ...	integration
	Triple integral sign	The triple integral of ...	integration
	Line integral sign	The line integral of ...	integration
	Surface integral sign	The surface integral of ...	integration
	Subtraction Minus sign	... minus ... Negative...	Difference of two values, negative number	3 - 5 = -5
	Plus/minus sign	... plus or minus ...	Expression of range, error, or tolerance	500 kbps ± 10%
	dot product sign	... dot ...	Scalar (dot) product of two vectors	A B = B A
	Cross product sign	... cross ...	Vector (cross) product of two vectors	A x B = - (B x A)
	Product sign	The product of ...	Product of three up to infinitely many values
	Carat	... to the power of ...	exponent	2 ^ 5 = 32
	Exclamation	... factorial	Product of all positive integers up to a certain value	5! = 120
	surd	... root of ...	Algebraic expressions
	square root symbol	The square root of ...	Algebraic expressions
	Continuation sign	... and so on up to ... ... and so on indefinitely	Extension of sequence	S = {1, 2, 3, ...}
	Solidus	... divided by ... ... over ...	Division	3/4 = 0.75
	Division sign	... divided by ...	Division	3 ÷ 4 = 0.75
	Percent symbol	... percent ...	Proportion	0.032 = 3.2
	Per mil symbol	... per mil ...	Proportion	0.032 = 32
	Colon, ratio sign	... is to , such that , it is true that ...	Division or ratio, symbol following, logical quantifier or used in defining a set	2:4 = 20:40 , x : x > 4 and x < 5 x : x < 0 or x > -1 , S = {x : x < 3}
	Vertical line	... such that ... ...it is true that ...	Symbol following logical quantifier or used in defining a set	x | x > 4 and x < 5 x | x < 0 or x > -1 S = {x | x < 3}
	Double colon	... averaged with ...	arithmetic mean	3 :: 11 = 7
	lemniscate	... infinity ... increases without limit	Infinite summations Infinite sequence Limit
	Parentheses	...quantity, list, set of coordinates, open interval	Denotes a quantity, list, set of coordinates, or an open interval	(x + y) + z , (a1, a2, a3, a4) , (x,y,z) , (3,5)
	Square brackets	... the quantity ... ... the closed interval ...	Denotes a quantity or a closed interval	w + [(x + y) + z] [3,5]
	Hybrid brackets	... the half-open interval ...	Denotes a half-open interval	(3,5]
	Hybrid brackets	... the half-open interval ...	Denotes a half-open interval	[3,5)
	Curly brackets	... the quantity ... ... the set ...	Denotes a quantity or a set	E = {2, 4, 6, 8, ...}
	Equal sign	... equals ...	Indicates two values are the same	-(-5) = 5 2z2 + 4z - 6 = 0
	proportionality sign	... is proportional to ...	Indicates two variables change in direct proportion
	Similarity sign	... is similar to ...	Indicates two objects are geometrically similar	ABC ~ DEF
	Approximate equal sign	... is approximately equal to ...	Indicates two values are close to each other	x + y z
	Inequality sign	... is not equal to ...	Indicates two values are different	x y
	Inequality sign	... is less than ...	Indicates value on left is smaller than value on right	3 < 5 x < y
	Inequality sign	... is less than or equal to ... ... is at most equal to ...	Indicates value on left is smaller than or equal to value on right	x y
	Inequality sign	... is greater than ... ... is at most equal to ...	Indicates value on left is larger than value on right	5 > 3 x > y
	absolute value sign	The absolute value of ...	Distance of value from origin in number line, plane, or space	| -3 | = 3
	Inequality sign	... is greater than or equal to ...	Indicates value on left is larger than or equal to value on right	x y
	increment sign, Triangle symbol	the change in ... triangle ...	Indicates a small change, Denotes vertices of triangle
	Perpendicularity symbol	... is perpendicular to ...	Geometry	L M
	Parallel symbol	... is parallel to ...	Geometry	L // M
	angle symbol	Angle ...	Geometry	ABC = DEF
	Existential quantifier	For some ... There exists a(n) ...	Logical statements	x : x > 4 and x < 5
	Universal quantifier	For all ... For every ...	Logical statements	x : x < 0 or x > -1
	Logical negation symbol	not ...	Logical statements	¬(¬A) A
	Logical implication symbol	... implies ... If ... then ...	Logical statements	A B
	logical equivalence symbol	... is logically equivalent to , ... if and only if ..	Logical statements	A B
	Three dots	... therefore ... ... it follows that ...	Logical statements or mathematical proofs	x = y and y = z x = z
	Element-of symbol	... is an element of a set ...	Sets	a A
	Not-element-of symbol	... is not an element of a set ...	Sets	b A
	Subset symbol	... is a subset of ...	Sets	A B
	Proper subset symbol	... is a proper subset of ...	Sets	A B
	Superset symbol
	Proper Superset symbol
	Union symbol	... union ...	Sets	A B = B A
	Intersection symbol	... intersect ... ... intersected with ...	Sets	A B = B A
	Null symbol	The null set The empty set	Sets	= { }
	Hebrew aleph (uppercase)	Aleph ...	Transfinite cardinal	1 + 0 = 1
	Degree symbol	... degree(s)	Angular measure Temperature	= 45º T = +20 ºC
	Greek theta (lowercase)	... theta ...	Angular variable
	Greek phi (lowercase)	... phi ...	Angular variable	= 45º
	Greek lambda (lowercase)	... lambda ...	wavelength or Ratio Eigenvalue Lebesgue measure	= 70 cm = 3:1
	Greek mu (lowercase)	micro- (10-6)	prefix multiplier	C = 0.001 µF
	Greek pi (lowercase)	... pi ...	General science
	Greek omega (uppercase)	... omega ...	Volume of an object Ohms (resistance)	R2 = 330
	Greek omega (lowercase)	... omega ...	Transfinite ordinal Angular velocity Period
	Enhanced or bold N	The set of natural numbers	Number theory Set theory	= {0, 1, 2, 3, ...}
	Enhanced or bold Z	The set of integers	Number theory Set theory	= {0, 1, -1, 2, -2, 3, -3, ...}
	Enhanced or bold Q	The set of rational numbers	Number theory Set theory	= {a/b | a and b are in }
	Enhanced or bold R	The set of real numbers	Number theory Set theory	What is the cardinality of ?