Early NASA Timeline

Here are my notes from Gene Kranz' book "Failure is Not an Option" about the Early History of NASA's Mercury, Gemini, and Apollo Space Programs (click on pictures to enlarge or right click and open in a new window for full resolution).







Note: Click the link if you'd like to view (all the video footage from the Apollo Lunar Landings and EVA's on the surface of the Moon) as well.


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Polar And Parametric Curves

Here are some screenshots I uploaded from my TI-89 Titanium calculator via a USB Silverlink Cable through the TI Connect program that can be download on the Texas Instruments Website :) Update 3/22/2011 - Here are some screenshots I've compiled of a 3o1i Cycloid using parametric matrix equations for [X(t),Y(t)]...

(click image to enlarge)

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Dot Configuration Pyramid Spiral

 
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Model Trains

Here are some images I recently took from a Model Train Convention :) Here are some model trees: Here are some model buildings: Note - this last display from 2020 Hobbies had oscillating and rotating parts.

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Statistical Change Theory

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Texas Hold-Em Lingo

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PoChess

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Dice Probabilities

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Atmospheric Gas And Bouyancy

Icebergs float because ice is less dense and therefore more bouyant than water. However, bouyancy doesn't occur in freefall because there is no gravitational field to generate up or down, so ice cubes would jumble around in a glass of water every which way according to brownian motion. There needs to be a change in momentum to cause a less dense material to jumble on top of a more dense material which occurs naturally in the presence of gravitational or acceleration fields. Buoyancy is also caused by less massive objects bouncing faster and further than more massive objects given the same level of impulse or force being applied over time. In air, millions of molecules are jumbling and bouncing around in a gravitational field, and satistically the lighter masses end up higher than heavier masses. Earth is an open system and thereby is exposed to the light, shadows, and reflections from the sun, and many different molecules absorb many different wavelengths and get different levels of impulses than other molecules do which causes weather and climate patterns. So you can in fact get the paradox of more dense gasses at higher elevations than lighter gasses, but over time bouyancy should still equalize the distributions.
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Fourier Analysis and ODEs

Fourier Anylisis (where w = 2pi/T): Specific Fourier Waveforms: 0th and 1st order differential equations: 2nd order differential equations: Tailor approximations for input functions: nth order linear ODE's and transfer functions: Rules for Laplace Transforms: Laplace Transforms for specific functions: Special differential equation forms:
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