Ask the experts.... Trivial questions

[Dauphin]

Markets with a predominant cartel or monopoly are not free markets.

[Juggernaut]

How do you calculate the length of a function, given two limits? With a linear one, the solution is trivial, but with a non-linear such?

I was thinking something like, for x³ for instance, a basic integral with x³ as upper function and x³ - a as lower, where a lim--->0.

I'm sure there are "real" ways to do this, though.

[Chowlett]

A little bit scribbling, referring to lengths of complex paths, I am reasonably convinced that this is correct:

Given a function f(x), xÃŽ[a,b], the length of the function is Integral(a->b){sqrt(1+[f'(x)]^2)}dx

If that's not legible, let me know.

[Buck Birdseed]

Bugs: According to my Collins Consise Dictionary which I got practically free when I bought Stupid White Men, Dissapoint originally meant, just like someone suggested, to remove someone from office. Obviously this would leave them Dissapointed, at least in the sense that their plans had been frustrated. Disgruntle comes from the old verb "gruntle", to complain. A disgruntled person, then would be someone who's gruntles were not acknowledged.

[Denday]

My hard qusetion is
what does 2+2 =
( well its as important as your questions )
hahahaha

[Rex Little]

Free Marketeers: Why is it wrong for the government to regulate the quality and quantity of things produced, but right to have regulations to stop cartels and monopolies building up?

Depending on which free marketers you talk to, the answer might be that the only monopolies which are a problem are those which are created by regulations (such as the laws which forbid anyone but the Post Office from delivering mail). If a company attains a monopoly position in a truly free-market context, the only way they'll keep it is to keep doing what made them successful in the first place. If they slack off, competition will arise as long as it isn't hindered by force.

Notice: I will not respond in this thread to any attempts to debate this point. Start another one on the subject and I'll probably be there.

[Ramo]

A little bit scribbling, referring to lengths of complex paths, I am reasonably convinced that this is correct:

Given a function f(x), xÃŽ[a,b], the length of the function is Integral(a->b){sqrt(1+[f'(x)]^2)}dx

If that's not legible, let me know.

Well, often there's a better parameterization of a function than (t, f(t)). It's better to think of the path length as an integral over the path of ||ds||, where s is the path.

[KrazyHorse]

Originally posted by Chowlett
A little bit scribbling, referring to lengths of complex paths, I am reasonably convinced that this is correct:

Given a function f(x), xÃŽ[a,b], the length of the function is Integral(a->b){sqrt(1+[f'(x)]^2)}dx

If that's not legible, let me know.

Known as "arclength", good only for functions for which f'(x) is integrable over [a,b]. No need for it to be continuous.

[SnowFire]

Re the SNES: 'cause the SNES had a great sound board for its day, and Nintendo was a bit lazy with the N64 which also has a slightly different sound set. The PSX both had its own (very good) MIDI as well as capability for digital music.

Here's an ancient question: Somebody once asked about inter-galactic travel, literally. MtG said that it never can and never will happen, and there's a boatload of reasons, too many to write down.

Well? Let's hear 'em! My solar-powered ship with all the bodies inside perfectly cryogenically frozen is ready to go! What, by the time it reaches the other galaxy will the universe be over or something?

[KrazyHorse]

There's no reason intergalactic travel can't happen. All you need is a cheap way to make tons and tons of antimatter and tech that doesn't break down in ~40 years. Boosting at 1g for that long (1/2 the time decelerating) will get you anywhere you want to go, basically. It'll be sorta dangerous, though. With everything length contracted like that you'll have basically no chance of avoiding anything that pops up in front of you. It'll also be one-way, since human beings will almost certainly have disappeared before you get back.

[SpencerH]

The bubbles in champagne or in whiskey and coke do not open up your intestine. You'ed be dead in a few hours if that were true.

Why are all the questions about math and physics? And why are there some many people here who know this stuff? Are there masses of astronomers here who are online while waiting for some readings of a far off galaxy?

[Sandman]

Why are dodgy medical doctors called 'quacks'?

[Az]

Question the experts :

What is there on titan?

[KrazyHorse]

Originally posted by Sandman
Why are dodgy medical doctors called 'quacks'?

IIRC, to "quack" is another word for undeserved boasting (from noise that duck makes?). Medical "quacks" are therefore those who boast of curative abilities they do not possess.

[Dauphin]

Originally posted by SnowFire
What, by the time it reaches the other galaxy will the universe be over or something?

The nearest other galaxy is 2 million light years away. So intergalactic travel is not going to be quick even if engineering problems are overcome.

I say we are better off waiting for other galaxies, like Andromeda, to come to us.

Talking of which, check this out



And the computer simulation of the colliding galaxies.