Algebra 1
Algebra Symbols courtesy of www.rapidtables.com
List of mathematical algebra symbols and signs.
Algebra math symbols table
Symbol
x
≡
≜
:=
~
≈
∝
∞
≪
≫
( )
[ ]
{ }
⌊x⌋
⌈x⌉
x!
| x |
f (x)
(f ∘g)
(a,b)
[a,b]
∆
∆
∑
∑∑
∏
e
γ
φ
π
Symbol Name
x variable
equivalence
equal by definition
equal by definition
approximately equal
approximately equal
proportional to
much less than
much greater than
parentheses
brackets
braces
floor brackets
ceiling brackets
exclamation mark
single vertical bar
function of x
function composition
open interval
closed interval
delta
discriminant
sigma
sigma
capital pi
e constant / Euler's number
golden ratio
pi constant
Meaning / definition
unknown value to find
identical to
equal by definition
equal by definition
weak approximation
approximation
proportional to
much less than
much greater than
calculate expression inside first
calculate expression inside first
set
rounds number to lower integer
rounds number to upper integer
absolute value
maps values of x to f(x)
Example
when 2x = 4, then x = 2
11 ~ 10
sin(0.01) ≈ 0.01
f(x) ∝ g(x)
(f ∘g) (x) = f (g(x))
1 ≪ 1000000
1000000 ≫ 1
2 * (3+5) = 16
[(1+2)*(1+5)] = 18
⌊4.3⌋= 4
⌈4.3⌉= 5
4! = 1*2*3*4 = 24
| -5 | = 5
f (x) = 3x+5
f (x)=3x, g(x)=x-1 ⇒(f ∘g)(x)=3(x-1)
x ∈ (2,6)
x ∈ [2,6]
∆t = t1 - t0
∑ xi= x1+x2+...+xn
(a,b) ≜ {x | a < x < b}
[a,b] ≜ {x | a ≤ x ≤ b}
change / difference
Δ = b2 - 4ac
summation - sum of all values in range of series
double summation
product - product of all values in range of series
e = 2.718281828...
γ = 0.527721566...
golden ratio constant
π = 3.141592654...
is the ratio between the circumference and diameter of a circle
∏ xi=x1∙x2∙...∙xn
e = lim (1+1/x)x , x→∞
c = π·d = 2·π·r
Linear Algebra Symbols courtesy of
Symbol
∙
×
A⊗B
Symbol Name
dot
cross
tensor product
inner product
brackets
parentheses
determinant
determinant
double vertical bars
transpose
Hermitian matrix
Hermitian matrix
inverse matrix
matrix rank
dimension
Meaning / definition
scalar product
vector product
tensor product of A and B
matrix of numbers
matrix of numbers
determinant of matrix A
determinant of matrix A
norm
matrix transpose
matrix conjugate transpose
matrix conjugate transpose
A A-1 = I
rank of matrix A
dimension of matrix A
Example
a ∙ b
a × b
A ⊗ B
[ ]
( )
| A |
det(A)
|| x ||
A T
A †
A *
A -1
rank(A)
dim(U)
(AT)ij = (A)ji
(A†)ij = (A)ji
(A*)ij = (A)ji
rank(A) = 3
rank(U) = 3