Friday, February 28, 2014

Plotting the time evolution of systems of differential equations of motion

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Notice first that we can write each differential (dy/dx)_n as follows: suppose y, y1, y2, y3,... are the last n values the function takes o...
Sunday, February 23, 2014

Solving for a recurrence relationship of an integer sequence

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Suppose you have a sequence of n numbers, it is known that there is one polynomial of degree n-1 that goes through those numbers as if they ...
Wednesday, February 19, 2014

Polynomials as recurrence relations

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if you have some amount of numbers you can find what the next one should be following the pattern for a degree p polynomial going through p+...

Heisenburg Uncertainty Principle makes a prime number function impossible...

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First you can set up something like the following... The way it's arranged it makes it so it is 0 when a number in the range is compo...

Outlier hypercube refinement optimization with example

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I'll explain this optimization method with an example I made up, suppose you have two points and you want to find a path connecting them...
Tuesday, February 18, 2014

Finding a zero by converging quadratic equations

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I'll start with an example... Let's say we have the quintic we want to find the zero for: We can guess a low and high x value f...
Sunday, February 16, 2014

Array sort revisited

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Ok, made corrections to the last post. You have a list you want to sort, put it into a square array: Sort each row individually, Then ...