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SymPy 1.13.3 documentation
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SymPy 1.13.3 documentation
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      • Solve an Equation Algebraically
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      • Solve an Ordinary Differential Equation (ODE) Algebraically
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        • Matrices (linear algebra)
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        • Introduction
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        • Scalar and Vector Field Functionality
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        • Vector API
          • Essential Classes in sympy.vector (docstrings)
          • Orienter classes (docstrings)
          • Essential Functions in sympy.vector (docstrings)
    • Number Theory
      • Number Theory
    • Physics
      • Hydrogen Wavefunctions
      • Matrices
      • Pauli Algebra
      • Quantum Harmonic Oscillator in 1-D
      • Quantum Harmonic Oscillator in 3-D
      • Second Quantization
      • Wigner Symbols
      • Unit systems
        • Philosophy behind unit systems
        • More examples
        • Dimensions and dimension systems
        • Unit prefixes
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        • Physical quantities
      • High energy physics
      • The Physics Vector Module
        • Vector & ReferenceFrame
        • Vector: Kinematics
        • Potential Issues/Advanced Topics/Future Features in Physics/Vector Module
        • Scalar and Vector Field Functionality
        • Physics Vector API
          • Essential Classes
          • Kinematics (Docstrings)
          • Printing (Docstrings)
          • Essential Functions (Docstrings)
          • Docstrings for basic field functions
      • 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
          • Nonminimal Coordinates Pendulum
        • Examples for Physics/Mechanics
          • 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
          • A bicycle
          • Nonminimal Coordinates Pendulum
          • Multi Degree of Freedom Holonomic System
          • A four bar linkage
        • Potential Issues/Advanced Topics/Future Features in Physics/Mechanics
        • References for Physics/Mechanics
        • Autolev Parser
        • SymPy Mechanics for Autolev Users
        • 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)
      • Biomechanics
        • Biomechanics API Reference
          • Musculotendon (Docstrings)
          • Activation (Docstrings)
          • Curve (Docstrings)
      • Quantum Mechanics
        • Anticommutator
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        • Dagger
        • Inner Product
        • Tensor Product
        • Cartesian Operators and States
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        • Qapply
        • Represent
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        • Circuit Plot
        • Gates
        • Grover’s Algorithm
        • QFT
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        • Shor’s Algorithm
        • Particle in a Box
      • Optics Module
        • Gaussian Optics
        • Medium
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        • Utilities
        • Waves
      • Control Module
        • Control
        • Control API
        • Control System Plots
      • Continuum Mechanics
        • Beam (Docstrings)
        • Solving Beam Bending Problems using Singularity Functions
        • Truss (Docstrings)
        • Cable (Docstrings)
    • Utilities
      • Testing
        • pytest
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        • 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
        • Literature
        • Poly solvers
        • Introducing the domainmatrix of the poly module
        • Number Fields
      • Category Theory
      • Cryptography
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      • Plotting
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  • Contributing
    • Introduction to Contributing
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      • Setup Development Environment
      • Development Workflow Process
      • Writing Tests
      • Building the Documentation
    • Dependencies
    • Debugging
    • Docstrings Style Guide
    • Documentation Style Guide
    • Deprecation Policy
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Series¶

The series module implements series expansions as a function and many related functions.

Contents¶

  • Series Expansions
  • Sequences
  • Fourier Series
  • Formal Power Series
  • Limits of Sequences
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Series Expansions
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Integrals
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Last updated on Sep 18, 2024
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