Vectors

The vector module provides tools for basic vector math and differential calculus with respect to 3D Cartesian coordinate systems. This documentation provides an overview of all the features offered, and relevant API.

Guide to Vector

• Introduction
  • Vectors and Scalars
  • Coordinate Systems
  • Fields
• Basic Implementation details
  • Coordinate Systems and Vectors
  • Diofant operations on Vectors
  • Points
  • Dyadics
• More about Coordinate Systems
  • Locating new systems
  • Orienting new systems
  • Orienting AND Locating new systems
  • Expression of quantities in different coordinate systems
• Scalar and Vector Field Functionality
  • Implementation in diofant.vector
  • Field operators and related functions
  • Conservative and Solenoidal fields
  • Scalar potential functions
• General examples of usage
  • Quadrilateral problem
  • Third product rule for Del operator

Vector API

• Essential Classes in diofant.vector (doctrings)
  • CoordSysCartesian
  • Vector
  • Dyadic
  • Del
• Orienter classes (docstrings)
  • Orienter
  • AxisOrienter
  • BodyOrienter
  • SpaceOrienter
  • QuaternionOrienter
• Essential Functions in diofant.vector (docstrings)
  • matrix_to_vector
  • express
  • curl
  • divergence
  • gradient
  • is_conservative
  • is_solenoidal
  • scalar_potential
  • scalar_potential_difference