Binary representation of numbers

better code

sign, exponent, mantissa

machine epsilon, min, max

catastrophic loss of significance

Exercise: plot ((1+x)-1)/x on [-2e15,2e15]

Exercise: plot log(1+x)/x

roots of a quadratic

reformulation as equivalent expression

approximation can be better than exact!

Example: approximately exponential separation of trajectories in mayfly model

How to define and calculate the "best" straight line?