Recent content by wolfpax50

No, it's an infinite recursion of a finite summation. There is a function f which is a finite summation, and a function p which is the recursive iteration of function f.

The summation in the second function is finite, from i=0 to i=2r+1. Sorry if that was unclear. I don't have a book in front of me but I'm educated through college calculus. If you could point me in the right direction the internet is usually a good resource.

I have a recursive function that will eventually converge to either a fixed value or a limit cycle. Depending on the inputs, it will converge to different values (or cycles) at different rates. How could I go about measuring the rate of convergence for different inputs, regardless of what type...

That's what I had been doing before. It works fine, but every so often it'll miss or double count a beat. And a single error can really throw off the average. I thought a more analytical solution would be more resistant to such errors because it would be looking at the whole wave and not just...

Thanks, that is exactly what I was looking for. I posted here because I figured it had more to do with math than electricity. I appreciate the help.

I have a simple home built pulse sensor that uses light from an LED to measure the opacity of my skin. As my heart beats the opacity of my skin goes up an down in a saw tooth like pattern. The frequency of this wave is my heat beat. The frequency is easy enough to find manually (by counting the...

Just remember I'm not formally educated in any of this, I've just read books. Like I said before, the length of a 1D line is x^1, the area of a 2D plane is x^2, and the volume of a 3D cube is x^3. If we were to treat time as a whole dimension then the "hyper volume" of a 3D cube moving through...

Time can be considered a dimension but it really shouldn't be. It's kind of like calling tomatoes fruit. Especially since the fourth dimension has so many interesting properties, calling it time is a bit of a cop out. It's better just to call our perceivable universe spacetime and call the...

Does that mean strobe lights can't be talked about either?

This, is along the lines of what I was thinking of: https://www.amazon.com/dp/B0006NDRXS/?tag=pfamazon01-20 It apparently includes button cells, a chip oscillator and a tiny transformer. It's definitely an electric shock yet no where near enough to cause harm. I was hoping to get some...

I'd dispute that. Especially considering such shock devices are sold to children nationwide. If I really wanted to I could stick a fork in an electrical socket. Does that mean discussing alternating current, or forks for that matter, is illegal? I didn't mean to step on any toes with this one...

Okay... Way to help a beginner people!

I'm looking to build a basic electric shocker as part of simple game setup I'm making. The shock is not intended to be painful, but it should be somewhat irritating (like a pen shocker toy). However, I'm a little unsure how I'm to go about doing this. Obviously I'll need some sort of DC to AC...

I'm getting the feeling this has gone above my head. Alright, I understand the concept and function of the lyapunov exponent and I understand that it can be used as a measure of chaos. However, like you said, it would require a mathematician to derive a chaotic equation. If chaotic equations...

Sure, the definition of chaos is one example of what I'm talking about. Periodic orbits, topologically mixing, and sensitivity to initial conditions are all "symptoms" of chaos, but they do little to explain what it actually is. I'd prefer a more holistic definition that gets to the fundamental...