Maths for
(Games)
Programmers
Section 6 - Multivector Physics
   
Introduction
Physical Units
   
Length
   
Charge
         
The Fine Structure Constant
   
Composite Units
         
Non-S.I. Units
   
Planck System
   
Notable lengths
         
Time Quantisation
   
Notable masses
   
Notable speeds
   
Conclusions
Multivector Kinematics and Dynamics
   
Introduction
   
Kinematics
         
Stances
   
Composing Stances
   
Kinematics
   
U
N
Spinor Representation
   
GHC
spinor form
   
Subbody motion
   
Rigid Body Dynamics
         
Rigid Bodies
   
Kinetic Energy
   
BiMomentum
   
Inertia Tensors
         
N
-D Inertia 2-Multiform
   
Inertia Tensors for Particular 2D Laminae
   
Inertia Tensors For Particular 3D Bodies
   
Multi-Particle Systems
   
Multiparticle Potentials
   
Rigid Body Moving Through a fluid
Fluid Mechanics
   
Introduction
   
Classical Flows
         
Classical Pressure
   
Small peturbation sound waves
   
Navier-Stokes
   
Vorticity
   
Circulation
   
Reynolds Number
   
Complex Potential
         
Stream Function
   
Velocity Potential
   
Complex representations of 2D Flows
   
Complex Potential
   
Uniform
Â
2
Flow Past a Circular Boundary
   
Circular
Â
2
Flow Past a Circular Boundary
   
Â
N
flow around hypershpehrical boundary
   
Biimpulse exerted on a 2D boundary
   
Conformal flow warping
         
Â
2
Flow Past a sharp edged 2D Boundary
   
Joukowski-Kutta Condition
   
Aerofoil Waffle
   
Lift Proportionate to
v
2
   
Force Velocity Coefficients
   
Torque Velocity Coefficients
   
Bimpulses due to spin
   
Propellers
   
Body Frame Coefficients
   
Speed of Sound
   
Body as rigid amalgamation of simpler subbodies
   
Leftovers
         
Problems with 1-flows
   
Flow rond moving sphere
Extremal
M
-Curves
         
Euler-Lagrange Equations
   
Generalised Momentum
   
Extremal surfaces
References/Source Material for Multivector Physics
Glossary
Contents
Author
Copyright (c) Ian C G Bell 1998, 2014
Web Source:
www.iancgbell.clara.net/maths
Latest Edit: 15 Jun 2014
.