The PML Visualization Project
Introduction In this project we study the space PML(S) of projective measured laminations on a surface S of negative Euler characteristic. Our goal is to make meaningful pictures of this space and its hierarchical structure using William Thurston's embedding of PML(S) into a cotangent space of Teichmüller space. In these visualizations, the points in PML(S) representing simple closed hyperbolic ge
Gröbner bases and their applications — Polynomials Manipulation Module v1.0 documentation
Gröbner bases and their applications¶ The method of Gröbner bases is a powerful technique for solving problems in commutative algebra (polynomial ideal theory, algebraic geometry) that was introduced by Bruno Buchberger in his PhD thesis [Buchberger1965thesis] (for English translation see [Abramson2006translation] and for a historical background see [Abramson2009history]). Gröbner bases provide a
Welcome to Dionysus’ documentation!
Dionysus is a C++ library for computing persistent homology. It provides implementations of the following algorithms: Persistent homology computation [ELZ02] [ZC05] Vineyards [CEM06] (C++ only) Persistent cohomology computation (described in [dSVJ09]) Zigzag persistent homology [CdSM09] Examples provide useful functionality in and of themselves: Alpha shape construction in 2D and 3D Rips complex c
AGCA - Algebraic Geometry and Commutative Algebra Module - SymPy 1.13.3 documentation
AGCA - Algebraic Geometry and Commutative Algebra Module¶ Introduction¶ Algebraic geometry is a mixture of the ideas of two Mediterranean cultures. It is the superposition of the Arab science of the lightening calculation of the solutions of equations over the Greek art of position and shape. This tapestry was originally woven on European soil and is still being refined under the influence of inte
SymPy
SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python. Get started with the tutorial Download Now SymPy is… Free: Licensed under BSD, SymPy is free both as in speech and as in beer. Python-based: SymPy is
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Multiple Zeta Values online tools
How to generate random matrices from the classical compact groups