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SymPy 1.15.0.dev3314+g1e603061eb.uninstalled documentation
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SymPy 1.15.0.dev3314+g1e603061eb.uninstalled documentation
  • Installation
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    • Introductory Tutorial
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      • Introduction
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      • SymPy Features
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        • Advanced Expression Manipulation
      • What’s Next
    • Physics Tutorials
      • Biomechanics Tutorials
        • Biomechanical Model Example
      • Mechanics Tutorials
        • Duffing Oscillator with a Pendulum
        • A rolling disc
          • A rolling disc, with Kane’s method
          • A rolling disc, with Kane’s method and constraint forces
          • A rolling disc using Lagrange’s Method
        • Multi Degree of Freedom Holonomic System
        • Nonminimal Coordinates Pendulum
        • A four bar linkage
        • Linearized Carvallo-Whipple Bicycle Model
        • Atwood Machine Example
        • Muscle Wrapping over a Spherical Bone in 3D Space
      • Continuum Mechanics Tutorials
        • Solving Beam Bending Problems using Singularity Functions
      • Control Tutorials
        • Control Package Examples
        • Electrical Problems using StateSpace
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  • How-to Guides
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    • Solve Equations
      • Solving Guidance
      • Solve an Equation Algebraically
      • Solve a System of Equations Algebraically
      • Solve One or a System of Equations Numerically
      • Solve an Ordinary Differential Equation (ODE) Algebraically
      • Solve Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs) Algebraically with the Laplace Transform
      • Find the Roots of a Polynomial Algebraically or Numerically
      • Solve a Matrix Equation Algebraically
      • Reduce One or a System of Inequalities for a Single Variable Algebraically
      • Solve a Diophantine Equation Algebraically
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        • Potential Issues/Advanced Topics/Future Features in Physics/Vector Module
      • Classical Mechanics
        • Masses, Inertias, Particles and Rigid Bodies in Physics/Mechanics
        • Kane’s Method in Physics/Mechanics
        • Lagrange’s Method in Physics/Mechanics
        • Joints Framework in Physics/Mechanics
        • Symbolic Systems in Physics/Mechanics
        • Linearization in Physics/Mechanics
        • References for Physics/Mechanics
        • Autolev Parser
        • SymPy Mechanics for Autolev Users
        • Potential Issues/Advanced Topics/Future Features in Physics/Mechanics
      • Biomechanics
        • Introduction to Biomechanical Modeling
    • Matrix derivatives
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      • Finite Difference Approximations to Derivatives
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      • Laplace Transform: Design Decisions and Implementation Details
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      • Functions
        • Elementary
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        • Enumeration
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      • Integrals
        • Computing Integrals using Meijer G-Functions
        • Integrals
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        • Limits of Sequences
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      • Simplify
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        • Hongguang Fu’s Trigonometric Simplification
      • Solvers
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      • Matrices
        • Matrices (linear algebra)
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      • Tensor
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        • Indexed Objects
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        • Introduction
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        • More about Coordinate Systems
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        • General examples of usage
        • Applications of Vector Integrals
        • Vector API
          • Essential Classes in sympy.vector (docstrings)
          • Orienter classes (docstrings)
          • Essential Functions in sympy.vector (docstrings)
    • Number Theory
      • Number Theory
    • Physics
      • Physics Vector API
        • Essential Classes
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        • Printing (Docstrings)
        • Essential Functions (Docstrings)
        • Docstrings for basic field functions
      • Mechanics API Reference
        • Bodies, Inertias, Loads & Other Functions (Docstrings)
        • Kane’s Method & Lagrange’s Method (Docstrings)
        • Joints Framework (Docstrings)
        • System (Docstrings)
        • Linearization (Docstrings)
        • Expression Manipulation (Docstrings)
        • Printing (Docstrings)
        • Pathway (Docstrings)
        • Actuator (Docstrings)
        • Wrapping Geometry (Docstrings)
        • Deprecated Classes (Docstrings)
        • Method Abstract Base Class (Docstrings)
      • Biomechanics API Reference
        • Musculotendon (Docstrings)
        • Activation (Docstrings)
        • Curve (Docstrings)
      • Control
        • Control
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        • Control System Plots
        • Routh-Hurwitz Table
      • Optics
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        • Medium
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      • Unit Systems
        • Philosophy behind unit systems
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        • Dimensions and dimension systems
        • Unit prefixes
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        • Physical quantities
      • Continuum Mechanics
        • Beam (Docstrings)
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        • Truss (Docstrings)
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        • Arch (Docstrings)
      • High Energy Physics
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        • Anticommutator
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        • Dagger
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      • Hydrogen Wavefunctions
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      • Wigner Symbols
    • Utilities
      • Testing
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      • Holonomic
        • About Holonomic Functions
        • Representation of holonomic functions in SymPy
        • Operations on holonomic functions
        • Converting other representations to holonomic
        • Uses and Current limitations
        • Internal API
      • Lie Algebra
      • Polynomial Manipulation
        • Basic functionality of the module
        • Examples from Wester’s Article
        • Polynomials Manipulation Module Reference
        • AGCA - Algebraic Geometry and Commutative Algebra Module
        • Introducing the Domains of the poly module
        • Reference docs for the Poly Domains
        • Internals of the Polynomial Manipulation Module
        • Series Manipulation using Polynomials
        • Power Series Ring
        • Literature
        • Poly solvers
        • Introducing the domainmatrix of the poly module
        • Number Fields
      • Category Theory
      • Cryptography
      • Differential Geometry
      • Plotting
      • Stats
  • Contributing
    • Introduction to Contributing
    • Guide for New Contributors
      • Setup Development Environment
      • Development Workflow Process
      • Writing Tests
      • Building the Documentation
    • Writing a pull request description
    • Dependencies
    • Debugging
    • Docstrings Style Guide
    • Documentation Style Guide
    • Deprecation Policy
    • AI Generated Code and Communication Policy
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