Resonance occurs when?

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Re: Resonance occurs when?

I won't argue with that. If you want to use the circuit to model the math, I think that's good.

I won't even argue if you say 1/0 sort of equals infinity.

My only point was sometimes an infinity is real (at least according to the math). Other times, an infinity seems to pop up, but by doing the math in other ways, we can actually avoid the infinity completely.

I think a lot of the people who doing theoretical physics spend a lot of their time trying to eliminate infinities from equations.

I wish I could post charts and diagrams like you've got. Pretty cool :)

Steve
 
Re: Resonance occurs when?

Originally posted by steve66: I won't even argue if you say 1/0 sort of equals infinity.
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I would. The strongest I would allow is that it ?sort of almost equals infinity.? :D

Actually, the mathematics of ?really really big? numbers is not all that hard. You just have to stop trying to use the word ?equals,? as in ?equals infinity,? and work instead with terms like ?it is bigger than any number you may care to name.?
 
Re: Resonance occurs when?

Well, if you're going to agree with me this isn't any more fun. :D

And you're right, goofing around with infinity and division by zero isn't very practicle. It just seems like a wierd anomaly to me.

All I do to post graphs or whatever from the internet is right click on something I want to post, select properties, copy the address/file name next to "address:(URL)", push the image button under the post window and paste the contents in the image box.

It's easier than it sounds.
 
Re: Resonance occurs when?

1/0 is not equal infinity for another reason.

Technically, division by 0 is undefined. The math "limit" concept starts to define otherwise undefined values. If the limit of f(x) as X approaches some value where f(x) is undefined had a definite value you could use a shorthand that f(x) = that value, but always have to know that it is only in the sense of a limit.

However, the limit of 1/X as X approaches 0 is undefined because the limit as X approaches 0 from positive numbers is positive infinitely and the limit as X approaches 0 from negative numbers is negative infinity. If you graph the function 1/x you can see that at 0 the two sides are not the same.

You can say the limit of 1/|x| (inverse of the absolute value of x) as x approaches 0 is infinity.

What does this have to do with the NEC? :D

[ April 20, 2005, 05:51 PM: Message edited by: paul32 ]
 
Re: Resonance occurs when?

Sort of almost is more than I expected from you Charlie. It must be that my profound insights are gradually spreading enlightenment. Or something. :D
 
Re: Resonance occurs when?

MorningCommute.jpg


Sorry Charlie! That was the first image I found to try Physis's suggestion!!

I promise not to steal you icon on a regular basis!!
 
Re: Resonance occurs when?

That?s not just an ?icon.? It is a copyrighted photograph (huhmmm, should I sue? :D ), taken during a fishing trip in Puget Sound in 1992 (or would the copyright have expired by now? :confused: ). That is the sun rising over Mount Rainier, and a Washington State Ferry is crossing from right to left.

By the way, what happens to the post on this Forum, if the Internet web site from which you copy an image is not longer available, or if it deletes the image?
 
Re: Resonance occurs when?

Welcome to the club Steve.

I still haven't bothered to figure out how to put things on web space somewhere so I can generate my own stuff and post it. I think Georges images are stored on free space, If you right click one of them you can get the url.


Paul32 has very good point. If the denominator is negative, as it gets smaller the quotient gets more negative. You can't have almost negative infinity and then when you get to zero it changes to positive.

But unfortunately, instead of being discouraged by this big hole in my theoy, I think I've come up with an even more elegant and complete theory. I'll have to make sure it works though.
 
Re: Resonance occurs when?

Scott Thompson, Luke Warmwater, CharlieB, Steve66, Physisa and Paul32 thank you for input. I appreciate it.


Justin W.
 
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