THE MATH behind NUMB3RS
Original Math Notes
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Episode 416: Atomic No. 33--Explore the Math
Original Math Notes
Episode 416: Atomic No. 33
Interactive Computations
Use the free Wolfram Mathematica Player to interact with the math behind NUMB3RS.
Scene 1:
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.

Riemann Zeta Function Near the Critical Line

Riemann Zeta Function Near the Critical Line
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.
Scene 7:
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--

Pressure-Volume-Temperature Diagram

Pressure-Volume-Temperature Diagram
Explore the thermodynamic space P-V-T of an ideal gas and see relationships between isochors, isobars, and isotherms and their partial derivatives.
Scene 7:
                 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.

Social Networking

Social Networking
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.
Scene 14:
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.

Absorption Spectroscopy

Absorption Spectroscopy
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.
 
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