Chaos Theory  5 / 12 / 2002
fractals
 a geometric pattern that is repeated at ever smaller scales to produce irregular
shapes and surfaces that cannot be represented by classical geometry
 used especially in computer modeling of irregular patterns and structures in nature
[AHD3]
the butterfly effect
sensitve dependence on initial conditions
Heisenberg's uncertainty principle
 a principle in quantum mechanics holding that increasing the accuracy
of measurement of one observable quantity increases the uncertainty
with which other quantities may be known [AHD3]
the act of observing changes the observed
complex systems
the more complex a system is, the easier it is to drive into chaotic behavior
weather
human cultures
magic
computers and software
can define boundries, but not position within boundries
nonlinearity
the "difficulties" of nonlinearity
the prevalence of nonlinearity
the tendency of older science to ignore / discount nonlinear results
calculus
1 <> 1
uniqueness
1 + 1 = 3 for large numbers of 1
approximations
good enough
engineering
catastrophic failure
Tacoma Narrows bridge  1940
Galloping Gertie
order within chaos
order is a subset of chaos
regions of stability
Chaos: Making a New Science  James Gleick
Computers and the Imagination  Clifford A. Pickover
