a question about resistors in an arc experiment

or.

you

The rational numbers can be put onto a list that just runs down the page. Therefor they are only one dimensionally infinite. The irrationals require at least two dimensions of infinite listing.

For any who don't get what we are joking about here:

Take any rational number in the form of:

ABCD..../UVWX....

Prepend on either number enough zeros to pad the number of digits to be equal.

Prepend a "1" on each number.

Interleave the digits of this number like this:

AUBVCW....

You now have an integer value that will be different for every rational you started with.

This integer is the index for where to write down this rational number on the list.

Because of the prepending of "1", we know that the first two digits of this index will always be "11". This means that we will have room left over for 98 times as many more numbers.

Assume that you have a list of the irrationals.

Assume that they are padded on the right with many zeros below the decimal or consider white spaces as zeros.

From the first number, take the first digit to the right of the decimal. From the second take the second. Continue down the list creating a string of digits.

For each of these selected digits add one with no carry. 0 becomes 1,

Place a decimal point in front of this string of digits.

You now have a number between 0 and 1 that differs from the first in the first digit and differs from the second on the second digit and so on. Therefor this number must not be on our proposed list. This proves that in a list that is infinite in only one direction the irrationals can't be listed.

It is left to the reader to prove whether or not there exists a rule that would allow all the irrationals to be placed in two dimensions.

Since we are adding to the confusion:

As we consider the impedance values, we are not considering how they depend on frequency. We can have frequency dependent resistances and positive and negative reactive values that depend in various ways on the frequency. This makes it at least a 3 dimensional space.

Yeah: W-H-I-P-P-E-D. ;-)

Hope This Helps! Rich

Read Judith Martin, Miss Manners. And try not to scratch your privates too much the next time you meet with customers.

John

Why are you guys so threatened by women? Even more, why are you so threatened by men who *aren't* afraid of women?

Women are great. I like them. The only thing men are good for is designing electronics with.

John

I didn't mean an amp that crosses unity gain at -3 dB slope, I want one that's -3 all the way down. Obviously, with that shallow a slope, and reasonable limits on the first break, its DC gain would suck.

Maybe Jim can comment.

John

There's a difference between a corporate staff meeting and a comedy club.

Hope This Helps! Rich

Just in case you have an impaired sense of sarcasm, I was correcting JF's spelling.

Hope This Helps! Rich

You obviously have no concept or grasp of slang or how it is used.

--- You know what, John?

From your posturing I think _you're_ the one who's afraid of women.

Think about it.

A woman hits these groups and starts making all sorts of preposterous claims and throwing veiled insults around, (which, intellectually, you should recognize as being such) and yet you support her.

Had it been a man doing the same thing you would certainly have been, at least, critical.

Instead, you make a declaration that you're "on her side" (which is kind of interesting, even without delving into it too deeply) and then you start accusing all of her critics as being afraid of women.

If we (her critics) were afraid of women, then we would have been humbly nonconfrontational from the start and taken the approach you did, that of: "Please, oh please, dear God, don't let her get angry with me.

---

--- That's too broad to be always true, since some of them are and some of them aren't.

---

--- Me too, but I like the ones who haven't had meanness bred into them and are smart and funny and glib.

---

--- Seems your mother thought differently.

JF

I went to a frat party where one guy had been ribbed by his mates as being p-whipped. He wore a t-shirt that had PW in big letters on the front. His girlfriend's shirt had a big P.

That's sort of how I feel about things.

John

Read the posts. I said some critical things to her initially, when I disagred with her. Some weren't very nice.

Read the posts.

I'm on her side when she's right. Which, at some point, she certainly was. At that point, you were being obnoxious, challenging, and dead wrong.

I'm an engineer. I'm on anybody's side when they're right. I try very hard to not let my emotions distort the facts, because that generally has bad consequences.

Why are you among "her critics" when she is right about the facts, and you are wrong? Same reason you are among my critics, I guess.

You posted a nonsense circuit that was latched up, defended it rudely, said absurd things about it (like "the output of the opamp doesn't matter"), and read the LT Spice current probe backwards. You defended it, rudely, long after it was explained. Then you blamed LT Spice, which turns out to work logically.

Maybe it's women being smarter than you is what you're afraid of. Yeah, that must be it.

Obviously. She was a woman. I can't imagine why women like men, but I'm very grateful that they do.

John

We know. It shows... And the funny part is that you are not qualified to determine which or either when it relates to someone other than you and yours.

None of us are in your frat. Frat is whack here in Usenet.

I knew what you meant. The gain at DC need not suck at all. You could implement one with an externally compensated op-amp. The capacitor for the lowest pole would have to be largish but these days even 1F capacitors can be bought so it would be possible to put the lowest pole down in the mHz range. You'd need about two components per decade so from 1mHz to 10MHz would require some 14 or so parts.

Oh, I never belonged to a frat. They were gross, mostly. I preferred to spend my free time with women.

John

My paragraph restored.

I have, and i stand by my position. I have even written to such columns to express it.

Get your program here! You can't tell the players without your program!

Almost holds water. But non sequitur.

I cannot follow this one, it does not make sense to me. Non sequitur. Claim not substantiated yet.

I have met women that do great circuit design as well. I fact 2 of the top 5 i have known.