Interactive Computations

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

Beautiful Sunday morning on the empty campus. CHARLIE, LARRY, AMITA, and ALAN huddle around a pool filled with milky water. ALAN This is in your lesson plan why? CHARLIE It's an interesting study in transitional system analysis -- ALAN I thought you were teaching 'Advanced Number Theory'? CHARLIE Well, the Riemann Zeta Function -- (busted) ...yeah.

See the values of the Riemann zeta
function near the critical line in the
complex plane. The height of the surface
gives the complex modulus; the color
gives the complex argument.

Charlie fiddles with an equation at his board as he talks to Don. LARRY A scientist is never so diligent as when he himself is the experimental subject. CHARLIE I was diligent! I'm calculating possible concentration-temperature coefficients--

Explore the thermodynamic space P-V-T of an ideal gas and see relationships between isochors, isobars, and isotherms and
their partial derivatives.

CHARLIE I was about to tell Don that, unless we have a thousand psychopaths, the poisoner's motives and/or actions should be detectable from the 'normal' social dynamics, whatever those are. FLASH CHARLIE VISION of the CROSS SECTION of an apartment building... layers of electrical and plumbing and cable TV line schematics laying in... BACK TO CHARLIE CHARLIE (cont'd) I could use Social and Bayesian Network Analysis to uncover hidden dynamics and covert architectures of the cult.

In a social network, people are points (referred to as nodes) connected by edges
(referred to as ties). For example, if the nodes were movie actors, such as Ed Harris and Judd Hirsch, they could be
tied together by a movie they both starred in. Within this randomly generated data, Susan and Joseph both seem to be
highly influential.

She drops the hair follicles in a bluish solution. RIDENHOUR (cont'd) Atomic absorption spectrometry. She puts the solution in a machine and starts the process. RIDENHOUR (cont'd) This bad boy zaps it all the way from liquid into free atoms, measuring the concentration of the Arsenic. The digital display on the machine reads: 0 PPB RIDENHOUR (cont'd) A normal person's hair would read 10 to 20 PPB -- parts per billion. DAVID And a murder victim? RIDENHOUR Above 10,000 PPB will be fatal.

This Demonstration shows some general qualitative features of absorption spectroscopy, common to all types of
spectroscopy. Given a stack of quantized energy levels--atomic, molecular, or nuclear--radiation will be absorbed
when its frequency *ν* matches one of the energy level differences, according to the Bohr condition.