Interactive Computations
Use the free Wolfram Mathematica Player to interact with the math behind NUMB3RS.
```                  FRALEY
How do computers relate to a
terrorist cell?

CHARLIE
Okay, think of, say, a rowing team.

ENTER AUDIENCE VISION:
An eight-man scull with a coxswain skims along.

CHARLIE (V.O.) (cont'd)
Imagine one rower secretly working
against the others.

CLOSE ON ONE ROWER, moving his oar counter to the others.

CHARLIE (V.O.) (cont'd)
What the math will do is look at
the water in the boat's wake --

ON THE WAKE -- graphics show oars making complex swirls
behind the boat.  Math expressions overlay the swirls.

CHARLIE (V.O.) (cont'd)
-- and tell us which oarsman isn't
working with the team.

The POV fixes on a set of patterns that doesn't match the
others, and follows it back to the one oarsman.
```

# Wave Interference

This Demonstration shows interference patterns made by waves from two sources.
```CRIME SCENE PHOTOS of Rafiq and Jamali on the big screen:
dead and brutally beaten. Blueprints of the schools.
Fraley, Don and Megan.

CHARLIE
My analysis has been unable to
identify components that would
correlate to the expected system.

FRALEY
What are you saying?

Charlie takes a breath as he gets ready to lower the boom.

CHARLIE
The PRF does not fit the profile
for any known terror group.

FRALEY
analysis.
```

# Skolemization

The process of removing all the existential quantifiers from a formula is known as Skolemization. The result is a formula in Skolem normal form that is equivalent in computational complexity to the original. This Demonstration shows the rewriting process of a Skolemization step by step for all general cases up to three quantifier alternations and seven variables or constants.
```                  CHARLIE
Phil's work is in crop development,
designed to create new strains of
food crops resistant to drought and
insects.  Both big problems in the
farming regions of Pakistan.

FRALEY
You're a mathematician.  This is
biology.
```

# The Tree of Life

The biodiversity of Earth has captured the interest of naturalists for many hundreds of years. With modern-day molecular and genetic techniques, it is possible to better understand the relationships between organisms, which are often shown in a phylogenetic tree.
```                  CHARLIE
I think we're looking at "Angels
and Devils."

FRALEY
Excuse me?

CHARLIE
M.C. Escher's print of angels and
devils, an example of the figure-ground
effect in perceptual organization.

Enter Audience Vision:

ESCHER'S CIRCLE LIMIT IV. An interlocking black and white pattern of
BLACK DEVILS --
```