Mathematical symbols

Mathematical symbols

Mathematical symbols Symbol Name Symbol Symbol Name Symbol
is equal to = is not equal to  ≠
is identically equal to is approximately equal to
Approaches Is proportional to
Is smaller than < Is larger than >
Is smaller than or equal to Is larger than or equal to
Magnitude of a |a| a raised to power b ab
square root of a a nth root of a na
Mean value of a ā Factorial a a!
Sum Product
Complex operator i, j Real part of z Re z
Imaginary part of z Im z Modulus of z |z|
Argument of z arg z Complex conjugate of z z*
a multiply by b ab,a.b, a*b a divided by b a/b,ab-1
Function of x f(x) Variation of x δx
Finite increment of x Δx Limit to which f(x) tends as x approaches a limx→af(x)
Differential coefficient of f(x) with respect to x  df/dx, f’’(x) Indefinite integral of f(x) with respect to x f(x)dx
Increase in value of f(x) as x increases from a to b

       b

[f(x)]a

 

Definite integral of f(x) from x =a to x=b

  b

af(x)dx

Logarithm to the base 10 of x lg x, log10x Logarithm to the base a of x logax
Exponential of x exp x, ex Natural logarithm ln x, logex
Inverse sine of x arcsinx Inverse cosine of x arccosx
Inverse tangent of x arctanx Inverse secant of x arcsecx
Inverse cosecant of x arccosecx Inverse cotangent of x arccotx
Inverse hyperbolic sine of x arsinhx Inverse hyperbolic cosine of x arcoshx
Inverse hyperbolic tangent of x artanhx Inverse hyperbolic cosecant of x arcosechx
Inverse hyperbolic secant of x arsechx Inverse hyperbolic cotangent of x arcothx
Vector A Magnitude of vector A |A|, A
Scalar products of vectors A and B A.B Vector products of vectors A and B A*B, A^B