Calculus Plugins

There are some plugins which can be used to do basic calculus.

Cumulative Sum (integral)

This plugin sums up the input vector cumulatively over a chosen time step which is the time interval between two neighboring data points of the input vector. As the time step becomes smaller, the calculated sum will approach this integral: cumulative sum formulate ,where x is the input data vector.

Inputs

InputVector: The vector used to calculate the cumulative sum.
Scale factor(time step) (scalar): The interval size for each step of calculating the cumulative sum

Outputs

Cumulative Sum (vector): This array stores values of the cumulative sum for each step.

Fixed Step Differentiation

This plugin calculates derivative values with respect to time for an input vector. As time step becomes smaller, the output vector will reach the values of dx/dt, where x is the input vector.

Inputs

inputVector: the data vector to take derivative of
Time step (scalar): Specify the size of the time interval between any two neighbor values in the input vector

Outputs

Derivative (vector): This plugin outputs the derivative values for every time step.