Counting Triangle Problem

Some of our Problems

Money is a renewable resource (cotton and ink printed by the federal government in a pattern), everytime you take out a loan from the bank, that IOU is loaned out to other banks and that IOU is loaned out again and again ad infitum, in effect breeding 90% of the previous value each time it gets loaned to a new bank within the federal banking system (sum(.9^0 + .9^1 +...+.9^n+....9^infinite)=10), thereby for every $1.00 loan you take out, the banks can take that IOU money and sequentially loan it out to a different bank which can loan that out to another bank, etc, until there is a maximum federal banking amount of $10.00 (ten times) in IOUs or until an indivisible penny is left. The problem we have is an exploding overpopulation of high risk takers and phoney IOUs (thereby rich bankers) and a drastic underpopulation of honest people with financial integrity.

The other problem is that we are all very resource inefficient and produce a lot of garbage in the name of convenience, and that garbage thereby produces a lot of ozone depleting methane, plastic bags blow in the wind and end up clogging the oceanic gyres, etc. However, that garbage that we produce still has the potential of being a resource jackpot if it were better sorted and managed.

Fourier Analysis and Linear ODE's

Fourier Anylisis (where omega, w = 2pi/T)


Specific Fourier Waveforms


0th and 1st order differential equations


2nd order differential equations


Note - This tailor approximation method can be used for simplifying things for obtaining approximate numerical solutions for given input functions


nth order linear ODE's and transfer functions


Rules for Laplace Transforms


Laplace Transforms for specific functions


Special differential equation forms


- Sources
Pictures 1,3,4,6 are my personal notes
Pictures 2,5,9 taken from Wolfram's Mathword
Pictures 7,8 taken from Laplace Transform Tables

Skateboard Football

On Peace

Peace is the absense of conflict, of course it could just be the eye of the storm though, that weightless feeling before realizing you don't have a parachute on, that moment of calm before you realize that wild monkeys are sneaking up to assault you, that false sense of security one gets just before T-rex bites your porta-john in half. The biggest myth of all is that peace can be everlasting, for nature is always out to get you....the realization of that is, ironically, very peaceful.

CarCast

With Adam Carolla, you should check it out.

A Modernized Proverb

Proverbs 14:4 - Where no oxen are, the manger is clean, But much revenue comes by the strength of the ox

(Modern equivalent - Where no industrial machines are, there are no industrial waste emissions, But much revenue comes by the strength of the industrial machine)