Fourier transform a trig function in Sympy returns unexpected result
I think Sympy makes a mistake in calculating the Fourier transform of a trig function. For example:
from sympy import fourier_transform, sin
from sympy.abc import x, k
print fourier_transform(sin(x), x, k)
The expected answer via Mathematica is
but Sympy returns 0. Sometimes the function works very well since fourier_transform(Heaviside(t)*cos(t),t,omega) and fourier_transform(Heaviside(t)*sin(t),t,omega) return the correct answer. I think Sympy may be using Laplace transform to calculate Fourier transform.
Solution
SymPy computes the Fourier transform by literally computing the integral. I would consider this to be a bug, so feel free to open an issue for it.
- WSGIServerException: [Errno 8] nodename nor servname provided, or not known
- Python/Flask Login form throws 500 error on IIS
- Matplotlib plt.show() isn't showing graph
- How to avoid duplicate processing in python API server?
- Extract points/coordinates from a polygon in Shapely
- How do I detect collision in pygame?
- Typehint a method that returns new instance using a superclass classmethod
- How to process requests from multiiple users using ML model and FastAPI?
- How can I clear the interpreter console?
- What are the reasons for the differences in output results when using the groupby function in the Python pandas package?
- How to antialias picture to get rid of the jerkiness in the image
- Is there any difference between list(array) and array.tolist() in Python?
- How to move x-axis on top of the plot in plotnine?
- Pulling Zillow Rent Data from Zillow API
- Safest way to incrementally append to a file?
- Unable to install mysqlclient package on EC2 instance
- FastAPI - How to get app instance inside a router?
- SQLAlchemy: engine, connection and session difference
- Generating binary arrays with alternating values based on change indices in NumPy
- How can i solve this error: ValueError: The feature names should match those that were passed
- 'super' object has no attribute '__sklearn_tags__'
- Python: How to copy all attibutes from base class to derived one
- mitm proxy is closed, but the port is still occupied
- How to find pg_config path
- Why does "pip install" inside Python raise a SyntaxError?
- Plotting a matplotlib pie chart using 2 columns
- ImportError: No module named langchain.llms
- How do I disable the security certificate check in Python requests
- How can I import Psycopg2 into a Lambda Function on AWS?
- Django built in Logout view `Method Not Allowed (GET): /users/logout/`