1. The dictionary definition of chaos is turmoil, turbulence, primordial abyss, and undesired randomness, but scientists will tell you that chaos is something extremely sensitive to initial conditions. Chaos also refers to the question of whether or not it is possible to make good long-term predictions about how a system will act. A chaotic system can actually develop in a way that appears very smooth and ordered.
2. Fractals are geometric shapes that are very complex and infinitely detailed. You can zoom in on a section and it will have just as much detail as the whole fractal. They are recursively defined and small sections of them are similar to large ones. One way to think of fractals for a function f(x) is to consider x, f(x), f(f(x)), f(f(f(x))), f(f(f(f(x)))), etc. Fractals are related to chaos because they are complex systems that have definite properties.
3. The dictionary definition Algorithms The dictionary definition of algorithms A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a finite number of steps
4. The dictionary definition Pseudorandom Of, relating to, or being random numbers generated by a definite, nonrandom computational process.
5. The dictionary definition Random Having no specific pattern, purpose, or objective: random movements. Mathematics & Statistics. Of or relating to a type of circumstance or event that is described by a probability distribution. Without a governing design, method, or purpose; unsystematically
6. From a number perspective we must always look for when the sequence began.....Opening address at the Third ECB Central Banking Conference 'The new EU Member States: convergence and stability
“This is the third time. I hope good luck lies in odd numbers.” So wrote William Shakespeare, and I am quoting him as a fitting reference for our conference: This is the third ECB Central Banking Conference to which I welcome you all. After the ECB conferences in the years 2000 and 2002, entitled, respectively, “Why price stability?” and “The Transformation of the European Financial System”, we chose as the topic of this year’s conference “The new EU Member States: convergence and stability”. I speak on behalf of all my colleagues on the Executive Board and all ECB staff involved in the preparation of this conference when I say that we are delighted to host such a distinguished group of academics and policy-makers here in Frankfurt.
(They left out the part of "There is divinity in odd numbers, either in nativity, chance, or death.") but this is simply reading between the lines from the first sentence of a speech given by Lucas Papademos, Vice President of the ECBback in October of 2004.
7. "This is the third time; I hope good luck lies in odd numbers.... There is divinity in odd numbers, either in nativity, chance, or death." --The Merry Wives of Windsor. Act v. Sc. 1. William Shakespeare.
In order to believe in chaos theory, random numbers with patterns "psuedorandom" (they are not really random but psuedorandom), and fractals it helps to have some "confirmation" and what better than a quote from the ECB back in October in 2004 when the RST "fractal" theory began.
$HGX Current Chart--Click Chart to see the update at "D"
