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SciPy documentation
A signal-processing guide covering convolution, filtering, spectral estimation and short-time Fourier transforms.
Investigate How do window and padding choices affect recovered amplitude and spectral leakage for a known multitone signal?
Upstream project repository
Sparse multidimensional array representations and operations for scientific Python.
Investigate Do sparse tensor reductions match dense arithmetic across duplicate coordinates and fill values?
SciPy documentation
A tutorial on extracting a few eigenpairs from sparse operators, including shift-invert mode and matrix-free interfaces.
Investigate How do the requested spectrum region and tolerance affect convergence and residuals for a sparse matrix with known eigenvalues?
SciPy documentation
A computational-geometry reference covering Delaunay triangulations, convex hulls, Voronoi structures and degenerate point configurations.
Investigate Which geometric invariants remain valid when the input contains duplicates or nearly coplanar points?
Upstream project repository
Representations and analysis operations for astronomical spectra.
Investigate Do line-flux estimates agree with analytic integrals as the spectral sampling grid changes?
Executable Science local pilot drafts
Compare naive exponentiation with a shifted log-sum-exp calculation and a 70-digit Decimal reference on three fixed large inputs.
Investigate Can a shifted calculation retain an accurate finite result when direct exponentiation overflows?
Executable Science local pilot drafts
Compare sequential sum and math.fsum on a repeated cancellation pattern, with a Fraction reference for the exact represented inputs.
Investigate Which summation strategy preserves the small contributions in this adversarial finite sequence?
Upstream project repository
Symbolic expressions, algebra, calculus, and mathematical transformations in Python.
Investigate Do symbolic derivatives agree with an independent quotient-rule construction on nonsingular rational test functions?
Upstream project repository
Nonlinear dimensionality reduction based on neighborhood relationships.
Investigate How stable are local-neighborhood preservation metrics across fixed seeds and neighborhood sizes?
Upstream project repository
Labeled multidimensional arrays and datasets for coordinate-aware scientific computation.
Investigate Does coordinate-aware arithmetic produce the expected intersection and values when coordinate labels differ?
Upstream project repository
Grid-aware operations for labeled arrays, including staggered grids used in geophysical models.
Investigate Do grid-aware differences reproduce a known linear field derivative with declared boundary conditions?
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