Mathematics

This module focuses on the some important mathematical laws and identities that are used in physics.

Contents:

• Fields
  • Circulation is integral along curve
    • circulation
    • field
    • curve
    • initial_parameter
    • final_parameter
    • law
  • Circulation is integral of curl over surface
    • circulation
    • field
    • surface
    • initial_first_parameter
    • final_first_parameter
    • initial_second_parameter
    • final_second_parameter
    • law
  • Flux is integral along flat curve
    • flux
    • field
    • unit_normal
    • curve
    • initial_parameter
    • final_parameter
    • law
  • Flux is integral of divergence over surface
    • flux
    • field
    • surface
    • initial_first_parameter
    • final_first_parameter
    • initial_second_parameter
    • final_second_parameter
    • law
• Geometry
  • Cross product is proportional to sine of angle between vectors
    • cross_product_length
    • first_vector_length
    • second_vector_length
    • angle_between_vectors
    • law
  • Dot product is proportional to cosine of angle between vectors (vector)
    • first_vector
    • second_vector
    • angle_between_vectors
    • law
  • Dot product is proportional to cosine of angle between vectors
    • dot_product
    • first_vector_length
    • second_vector_length
    • angle_between_vectors
    • law
  • Scalar projection is vector length times cosine of angle
    • angle
    • vector_length
    • projection
    • law
  • Vector area is unit normal times scalar area
    • vector_area
    • unit_normal
    • scalar_area
    • law