As Many Meaning In Math

This list of ordinarily used mathematical symbols explains what each math symbol is, how it is used and provides a sample expression.

Symbol	What it is	How it is read	How information technology is used	Sample expression
+	Addition sign Logical OR symbol	... plus ... ... or ...	Sum of a few values Logical disjunction	3 + five = 8 ¬(A + B) = ¬A * ¬B
*	Multiplication sign Logical AND symbol	... times ... ... and ...	Product of 2 values Logical conjunction	3 x v = 15 ¬(A * B) = ¬A + ¬B
x	Multiplication sign	... times ...	Product of two values	3 x 5 = xv
·	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	x ² dx = x ⁱⁱⁱ/3 + c
	Double integral sign	The double integral of ...	integration	f(ten,y) dx dy
	Triple integral sign	The triple integral of ...	integration	f(10,y,z) dx dy dz
	Line integral sign	The line integral of ...	integration	F dx
	Surface integral sign	The surface integral of ...	integration	F(x,y,z) dx dy
-	Subtraction sign Minus sign	... minus ... Negative...	Difference of 2 values, negative number	three - 5 = -2
±	Plus/minus sign	... plus or minus ...	Expression of range, mistake, or tolerance	500 kbps ± 10%
	dot product sign	... dot ...	Scalar (dot) product of two vectors	A B = B A
x	Cross production sign	... cross ...	Vector (cantankerous) production of 2 vectors	A x B = - (B x A)
	Production sign	The product of ...	Product of three upwardly 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	z = (x + y)
	Square root symbol	The square root of ...	Algebraic expressions
...	Continuation sign	... and so on up to ... ... and so on indefinitely	Extension of sequence	S = {i, 2, 3, ...}
/	Slash	... divided by ... ... over ...	Segmentation	three/four = 0.75
÷	Division sign	... divided past ...	Division	3 ÷ 4 = 0.75
	Percent symbol	... percent ...	Proportion	0.032 = 3.ii
	Per mil symbol	... per mil ...	Proportion	0.032 = 32
:	Colon, ratio sign	... is to ... ... such that ... ... it is true that ...	Sectionalisation or ratio, symbol following logical quantifier or used in defining a set	two:4 = twenty:40 ten : x > 4 and x < 5 x : x < 0 or ten > -one Due south = {x : x < 3}
\|	Vertical line	... such that ... ...it is true that ...	Symbol following logical quantifier or used in defining a prepare	x \| x > iv and 10 < 5 10 \| x < 0 or 10 > -1 S = {ten \| x < 3}
::	Double colon	... averaged with ...	arithmetic mean	3 :: xi = 7
	lemniscate	... infinity ... increases without limit	Infinite summations Infinite sequence Limit	x : x <
( )	Parentheses	...quantity... ...list... ...set of coordinates... ...open interval	Denotes a quantity, listing, ready of coordinates, or an open interval	(x + y) + z (a _i, a _ii, a ₃, a ₄) (x,y,z) (iii,5)
[ ]	Foursquare brackets	... the quantity ... ... the closed interval ...	Denotes a quantity or a closed interval	w + [(x + y) + z] [3,5]
( ]	Hybrid brackets	... the one-half-open interval ...	Denotes a half-open interval	(3,5]
[ )	Hybrid brackets	... the one-half-open up interval ...	Denotes a half-open up interval	[iii,five)
{ }	Curly brackets	... the quantity ... ... the SET ...	Denotes a quantity or a Set up	E = {2, four, 6, 8, ...}
=	Equal sign	... equals ...	Indicates two values are the same	-(-five) = five 2z ^two + fourz - 6 = 0
	proportionality sign	... is proportional to ...	Indicates 2 variables change in direct proportion	x y
~	Similarity sign	... is similar to ...	Indicates two objects are geometrically like	ABC ~ DEF
	Estimate 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 unlike	x y
<	Inequality sign	... is less than ...	Indicates value on left is smaller than value on right	three < five ten < 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 ...	Indicates value on left is larger than value on correct	5 > 3 x > y
≥	Inequality sign	... is greater than or equal to ...	Indicates value on left is larger than or equal to value on right	ten ≥ y
\| \|	accented value sign	The absolute value of ...	Altitude of value from origin in number line, airplane, or infinite	\| -3 \| = three
	increment sign, Triangle symbol	the change in ... triangle ...	Indicates a small change, Denotes vertices of triangle	1000 = y / x ABC = DEF
	Perpendicularity symbol	... is perpendicular to ...	Geometry	L Thou
//	Parallel symbol	... is parallel to ...	Geometry	L // M
	Angle symbol	Angle ...	Geometry	ABC = DEF
	Existential quantifier	For some ... In that location exists a(n) ...	Logical statements	x : x > iv and x < 5
	Universal quantifier	For all ... For every ...	Logical statements	x : ten < 0 or 10 > -1
¬	Logical negation symbol	not ...	Logical statements	¬(¬A) A
	logical implication symbol	... implies ... If ... and 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	10 = y and y = z ten = z
	Element-of symbol	... is an element of a prepare ...	Sets	a A
	Non-element-of symbol	... is not an chemical element of a set up ...	Sets	b A
	Subset symbol	... is a subset of ...	Sets	A B
	Proper subset symbol	... is a proper subset of ...	Sets	A B
	Union symbol	... union ...	Sets	A B = B A
	Intersection symbol	... intersect ... ... intersected with ...	Sets	A B = B A
	Nada symbol	The null ready The empty ready	Sets	= { }
	Hebrew aleph (majuscule)	Aleph ...	Transfinite fundamental	₁ + ₀ = ₁
º	Degree symbol	... degree(south)	Angular measure Temperature	T = +20 ºC
θ	Greek theta (lowercase)	... theta ...	Angular variable	θ = 90º
φ	Greek phi (lowercase)	... phi ...	Angular variable	= 45º
λ	Greek lambda (lowercase)	... lambda ...	Wavelength Ratio Eigenvalue Lebesgue measure	= seventy cm = three:ane
µ	Greek mu (lowercase)	micro- (10^-6)	Prefix multiplier	C = 0.001 µF
	Greek pi (lowercase)	... pi ...	Full general science	iii.14159
	Greek omega (uppercase)	... omega ...	Book of an object Ohms (resistance)	R ₂ = 330
	Greek omega (lowercase)	... omega ...	Transfinite ordinal Athwart velocity Period	= 36,000 rad/s = i/sixty due south
, N	Enhanced or assuming N	The set of natural numbers	Number theory Set theory	= {0, ane, 2, three, ...}
, Z	Enhanced or bold Z	The set of integers	Number theory Ready theory	= {0, one, -1, 2, -2, 3, -3, ...}
, Q	Enhanced or bold Q	The fix of rational numbers	Number theory Gear up theory	= {a/b \| a and b are in }
, R	Enhanced or assuming R	The set up of real numbers	Number theory Set theory	What is the cardinality of ?