by Neil E. Cotter

Research Assistant Professor

Last Updated: 9/30/10

 

 

Real Analysis

Convergence

†Limit points

Distance measures

†Euclidean

†lpnorms

†Lp norms

Almost everywhere (pdf)

Pointwise (pdf)

In measure (pdf)

Uniform (pdf)

In the mean of order p (pdf)

Sets (pdf)

Open, closed, compact (pdf)

†Dense

†Connected

†Convex sets

Measure (pdf)

Definition

Measurable sets and functions

†Nonmeasurable sets

Continuous vs measurable functions

Luzin’s theorem (pdf)

†Lp ≈ continuous

Implications for neural networks (pdf)