lcapy.laplace
This module provides support for Laplace transforms. It acts as a quantity for SymPy’s Laplace transform. It calculates the unilateral Laplace transform using:
F(s) = lim_{t_0 ightarrow 0} int_{-t_0}^{infty} f(t) e^{-s t} dt
In comparison, SymPy uses:
F(s) = int_{0}^{infty} f(t) e^{-s t} dt
The latter gives 0.5 for the Laplace transform of DiracDelta(t) whereas the former version gives 1. Note, SymPy is inconsistent in that it gives DiracDelta(t) for the inverse Laplace transform of 1.
Another difference with this implementation is that it will transform undefined functions such as v(t) to V(s).
These functions are for internal use by Lcapy.
Copyright 2016–2023 Michael Hayes, UCECE
Functions
|
Compute unilateral Laplace transform of expr with lower limit 0-. |
|
Compute unilateral Laplace transform of expr with lower limit 0-. |
Classes