Original Math Notes
Other Seasons
NUMB3RS Episode 405--Explore the Math
Episode 405: Robin Hood
Interactive Computations
Use the free Wolfram Mathematica Player to interact with the math behind NUMB3RS.
Scene 24:
                    CHARLIE
          These acetone smears, they're
          perfect for a Hand Path Prediction.

Snake-Arm Robot »

A series of cylinders are joined with spheres to form a snaking arm. The spheres act as hinges around which the cylinders can be turned simultaneously. The snake arm is mounted on a double boom, each part of which can be tilted separately. The entire assembly can be turned around. This arrangement is similar to that of the snake-arm robot produced by OC Robotics.
Scene 24:
                    AMITA
          With an adaptation of Listing's
          Law, right?

Listing's Law »

Listing's law: all eye rotations are such that they are rotations around an axis orthogonal to the primary gaze direction. Mathematically, this means the space of all eye rotations is a subgroup of the special orthogonal group SO(3).
Scene 24:
                    CHARLIE
          It's no different from a golf
          swing, really...

ENTER AUDIENCE VISION

A golfer, Bobby Jones re-incarnated on the tee box.

                    CHARLIE (V.O.) (cont'd)
          By watching and analyzing the swing
          you can tell from the point of
          impact exactly where the golf ball
          will end up...

Throw off a Cliff »

Two-dimensional display of the trajectory of an object thrown from a cliff into the sea. In this Demonstration, you can vary the cliff height H, the initial speed v, and the initial angle α.
Scene 41:
                    LARRY
          The noticeable absence of a certain
          combinatorics professor makes me
          think your own affairs of the heart
          have heightened your empathy.

                    CHARLIE
          Love is one puzzle after another.

                    LARRY
          In quantum experiments, when we
          change our minds, we change the
          state of matter itself.  Imagine,
          how deeply our thoughts can affect
          our relationships.

Romeo and Juliet »

This Demonstration calculates the stony limits of love. More specifically, coupled differential equations describe how love varies over time using a dynamical model.
 
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