Next Tuesday's will focus on numpy. See Day 7 notes.

sensitive dependence on initial conditions

t=0

Butterfly flaps its wings in rightworld, not in leftworld.

Two weeks later ...

t = 1

precise definition

graph of x vs t for specific b

separation of nearby trajectories

characterization of separation

Exploration of the dynamics of the mayfly population model

We've been using a representation of the real numbers without knowing or thinking much about it.

A sensible scheme for computing in the real numbers (as opposed to integers)?

Rationals are dense in the reals: how about mayfly model in exact arithmetic?

Approximate representation in 64 bits

## Social

Meet someone new