Calculus Symbols

                                                                  Calculus Symbols

 

Limit

It denotes the value that function approaches when input approaches specified value.

 

Epsilon

It represents a very small number nearing zero.

 

Derivative

 

It indicates change in the function when the input values change.

 

Second derivative

 

It returns a value which is the derivative of the derivative of the given function.

 

Nth Derivative

 

It returns a value which is calculated by deriving the given function for n times.

 

Time derivative

It indicates change in the function with respect to change in time.

 

Partial Derivative

 

It denotes the value that is obtained by calculating derivative with respect to one variable, while other variables are constant.

 

Integral

 

It refers to antiderivative, and is the signed area of a region which is bounded by graph (definite integral).

Double integral

 

It denotes the integration of a function of two variables

Triple integral

 

It denotes the integration of a function of three variables.

 

Closed contour / line integral

 

Line integral

It denotes the integral of a function evaluated along a curve, i.e., with respect to arc length.

 

Imaginary unit

 

It indicates the square root of -1.

 

Complex conjugate

 

It indicates the pair of complex numbers with same real part and imaginary part with equal magnitude but opposite signs.

 

Nabla / del

 

It denotes the gradient and vector derivatives.

 

Vector

It indicates quantity with magnitude and direction.

 

Unit vector

 

It signifies a vector with magnitude 1.

 

Convolution

 

 

Delta function

 

It is defined as the limit of a class of delta sequences.

 

Laplace transform

 

It indicates the linear operator of function f which transforms f(t) to F(s), with s being the complex argument

 

 

 

 

 

 

Fourier transform

 

It signifies the transformation of signals into time and frequency domains, i.e., breaks them into sines and cosines.