Thank you for that whopping post of info. Makes me want to do some side research (more than the armchair varity) into orbital mechanics. On a side note, I have an (unlikely) suspicion that the 3+ body problem may have a perfect equation, but the mathematics are just not here yet. I say really unlikely because I'm under the impression that the 3 body problem was proven to be unsolvable this way. (within modern mathematics)
You can model 3+ bodies with gravitation, its just not exact, with no "closed form" integral solutions like the two body problem. With a "simulation" like this basically, you have NxNxT calculations. T equals something akin to "time", where low T=low resolution, high T=high resolution. For example, say I wanted to run a calculation with for 60 seconds, with 20 calcs per second. 60x20xN^2 steps. If I increase it to 100 calculations per second, it will be more "accurate". etc, etc. So you don't have to use Kepler's equations to model these. You can "simulate" (I think that was the whole point) and reach a desired accuracy.
P.S.- It is my personal belief that gravity is transmitted at the speed of light, if only because of what I have read and gravity being instantaneous making no sense to me.
Great thinking though. Reply to me on anything you disagree with.
Ok, look at it this way. RSA: Complexity based on factoring a large number with two large prime factors. Assume a reasonable algorithm for say, 3-sat (an NP-complete problem). Encode a multiplier circuit in 3-sat(follows from 3-sat's NP-Completeness). Number to factor = output. Solve. Answer = input to circuit = factors of said number.
Also: Encode a hash function in 3-sat. Solve for desired input. etc, etc. the list goes on.
Basically, P=NP? can be stated a different way: are there such things as true one-way functions? Most, but not all encryption methods rely on one-way functions.
I am currently engaged in a research paper to explore probabilistic methods for factoring in this exact way (i.e. with 3-sat).
Of course, this assumes a fast algorithm for NP-complete problems. But, of course, OTP and QMKE are still secure.
The probability "amplitude" that represents a solution to say, Satisfiability, would, on average, be 2^-N. To distinguish a possible solution probabilistically from 0, 2^N trials would be needed. Or so says "A New Kind of Science" by Wolfram.
If someone had the ability to see in the infrared spectrum, they could possibly decieve the James Randi Educational Foundation. Contact James Randi, claim you can see "auras", set up the test to your advantage and viola! A cool $1,000,000! Put another way:
1. Get infravision.
2. Contact James Randi.
3. Profit!
A change of climate (moved from New York to Texas) fixed the problem.
Why, that's rather odd, because I have an allergy to Texas. Well, not Texas, just texans.
So, if the shuttle was still in range to be filmed, how can it possibly have had enough time reach the super-sonic speeds necessary to have impacted the tile.. You'd be suprised how far you can film the shuttle during a launch. And 400km/hour is not that fast. I think you want there to be a conspiracy. Geez.
Slashdot Mirror
What is this "the gym" you speak of?
Wow, that maneuver was excellent.... I'm stunned!
/ducks
Malk [now with Vitamin R!]
There is a big difference between:
Belief that God doesn't exist
Non-Belief in a God (or Gods)
Everyone is an Atheist, some just believe in one less God than others.
My neighbor has a computer but it's his kid that uses it 95% of the time, and that's mainly for school work.
For school work, right....
yeah, that's the ticket.
Beautiful. Just Beautiful. I owe you a mod point.
Pilot: "I got it! I got it!"
..... "Don't got it...."
(chop chop chop chop chop)
Thank you for that whopping post of info. Makes me want to do some side research (more than the armchair varity) into orbital mechanics. On a side note, I have an (unlikely) suspicion that the 3+ body problem may have a perfect equation, but the mathematics are just not here yet. I say really unlikely because I'm under the impression that the 3 body problem was proven to be unsolvable this way. (within modern mathematics)
You can model 3+ bodies with gravitation, its just not exact, with no "closed form" integral solutions like the two body problem. With a "simulation" like this basically, you have NxNxT calculations. T equals something akin to "time", where low T=low resolution, high T=high resolution. For example, say I wanted to run a calculation with for 60 seconds, with 20 calcs per second. 60x20xN^2 steps. If I increase it to 100 calculations per second, it will be more "accurate". etc, etc. So you don't have to use Kepler's equations to model these. You can "simulate" (I think that was the whole point) and reach a desired accuracy.
P.S.- It is my personal belief that gravity is transmitted at the speed of light, if only because of what I have read and gravity being instantaneous making no sense to me.
Great thinking though. Reply to me on anything you disagree with.
... gives me a discount on imaginaries and a good deal on irrationals. Buy 2 irrationals and your next trancendental is 1/2 off! He must be crazy!
In his little "example" the letters are present, just jumbled. So, what you are saying is true, but has no bearing on grandparent's statement.
Do not taunt HAPPY TIME CUBE.
Touche. Touche indeed.
Ok, look at it this way. RSA: Complexity based on factoring a large number with two large prime factors. Assume a reasonable algorithm for say, 3-sat (an NP-complete problem). Encode a multiplier circuit in 3-sat(follows from 3-sat's NP-Completeness). Number to factor = output. Solve. Answer = input to circuit = factors of said number.
Also: Encode a hash function in 3-sat. Solve for desired input. etc, etc. the list goes on.
Basically, P=NP? can be stated a different way: are there such things as true one-way functions? Most, but not all encryption methods rely on one-way functions.
I am currently engaged in a research paper to explore probabilistic methods for factoring in this exact way (i.e. with 3-sat).
Of course, this assumes a fast algorithm for NP-complete problems. But, of course, OTP and QMKE are still secure.
The probability "amplitude" that represents a solution to say, Satisfiability, would, on average, be 2^-N. To distinguish a possible solution probabilistically from 0, 2^N trials would be needed. Or so says "A New Kind of Science" by Wolfram.
What about Eve?
No, the scarring is much deeper than that. I had to clean my temporal lobe with a screwdriver after tubgirl. (shudders)
If someone had the ability to see in the infrared spectrum, they could possibly decieve the James Randi Educational Foundation. Contact James Randi, claim you can see "auras", set up the test to your advantage and viola! A cool $1,000,000! Put another way:
1. Get infravision.
2. Contact James Randi.
3. Profit!
.... cause we all know how much damage piracy does to the music industry. Ba-zing!
The smell of shitty animation smells like solder.... I kid, I kid. DBZ is ok.
A change of climate (moved from New York to Texas) fixed the problem.
Why, that's rather odd, because I have an allergy to Texas. Well, not Texas, just texans.
So, if the shuttle was still in range to be filmed, how can it possibly have had enough time reach the super-sonic speeds necessary to have impacted the tile..
You'd be suprised how far you can film the shuttle during a launch. And 400km/hour is not that fast. I think you want there to be a conspiracy. Geez.
Why sell a kidney? Sell half your damn liver. It grows back. 3 months later, do it again!
Should have checked better, should read "If the risk of the message being deencrypted is greater than the chance of a breakthrough, don't send it."
Use PGP if: The risk of sending the message is less than the chance of P=NP or other breakthrough. Not saying it will happen, but you know, maybe?