Interactive Computations

Use the free Wolfram *Mathematica Player* to interact with the math
behind NUMB3RS.

Upchurch takes in the scene. UPCHURCH (cont'd) ... but the big money snatches tend to put you in contact with a higher class of lowlife. If they know their business -- and it looks to me like they do -- we'll be looking at simultaneous movement, expected payoffs, bargaining strategies... lots of variables. CHARLIE (O.S.) What you're talking about is imperfect information games.

Often players in a scenario that can be modeled as a strategic-form
game engage in repeated interactions with each
other. In such instances, their selection of a strategy on a given "iteration" may depend on their history of previous interactions. By
way of example, a player might start by playing strategy 1 and continue playing it unless the history of interactions
is such that the opposing player played 0 on his/her last two turns.

LARRY Actually, Charles, you can't find this in any shop. I've constructed my own Hero's Fountain. OFF Charlie's look -- AMITA ...Named for Hero of Alexandria. The Greek mathematician and engineer. Once we get the pressure right, the water will start to flow under its own power.

Heron's formula (also called Hero's
formula) gives the area of triangle in
terms of a triangle's side lengths *a*, *b*, and *c* as sqrt((*a* + *b* + *c*)(-*a* + *b*
+ *c*)(*a* - *b* + *c*)(*a* + *b* - *c*))/4. Triangles having rational sides and
area are known as Heronian triangles.

CHARLIE I think what he's trying to say is Pierce has violated his own rules of corporate Game Theory. It's standard Minimax -- like a tug of war --

A perfectly competitive firm with rising marginal costs maximizes profit by producing up until the point at which marginal cost is equal to
marginal revenue. The marginal revenue for a perfectly competitive firm is the market price determined by the
intersection of the supply and demand curves, as shown in the panel on the left. The panel on the right shows the orange
price line intersecting the purple marginal cost curve at the profit maximizing quantity, *Q*_{max}.

AMITA If we had a DTMF decoder -- (off David) Dual-tone multi-frequency -- touchtone. DAVID Because you couldn't have said that in the first place. AMITA It wouldn't have been as much fun.

Dial and listen to the touch tones. Press the composed number to listen to its tone sequence. Numbers can be stored and retrieved from the menu.

LARRY ...Perhaps not an altogether bad thing. (off her look) The charged particles of the solar wind need heat and combustion to escape the gravitational pull of the sun. From tumult comes freedom. MEGAN You have a way of making my neurosis sound so... cosmic.

The path of a charged and otherwise free particle in uniform electric and magnetic fields depends on the charge *q*
of the particle and the electric and magnetic field strengths **E** and **B**.