moth

Even if there are enough "moderate" reverse-dixie republicans willing to allow the country to pay it's bills, John Boehner told George Stephanopoulis he felt Obamacare was so dangerous that he'd rather shut down the government than take the chance people may like it. The metaphore that occurs to me is shooting somebody to prevent their attempt at suicide. But only if you buy the argument that A.C.A. is bad for the country. We've been trying trickle-drown reagonomics for 30 years now, can't we try affordable healthcare for a year or two?

I apologize for my previous contribution to this thread. I wasn't allowed in english class when I was in high school. I just couldn't let this pass unnoticed: quarter sodiers

If you "prove" your god of choice to be real, aren't you really asking people to give up their faith in god, and base their faith on your method?

Thanks Klaynos. Transformation optics googled up some interesting looking stuff on arxiv.

Is it possible to model refraction using General Relativity ? If you assume local speed of light inside a low refractive index material to be c, and find the length contraction and time dilation for an "outside observer",could you work out the local curvature?

The answer to the conjecture is beyond me, so if one of us solves it that would probably be you or md. I was looking at how long the even-odd-even-odd pattern needed for fastest growth of n could be sustained, and if some property of multiples of two, when constrained by the 3n+1 rule, might interfere. +1 for the question and 1 for your exposition of your analysis.

Thanks Daedalus, I'm glad I may be not too far off the track. The output from the first post was showing how long the longest hailstone sequence is for the starting values between 1 and 10, 1 and 100, etc. The output shows (IF i didn't pooch it) that the longest hailstone sequence found for initial values less than 10000000 is 686 iterations long (for the number 8400511 not shown)

The comments in the code are not correct(apologies). I started this and then houseguests showed up... This is the first 10 lists. they seem ok #!/bin/usr/python MAXARG = 10 ## itlist: return a list of iterated values for the argument def itlist(val): tlist = [] n=val while n > 1: tlist.append(n) if n & 1: n = (3 * n) + 1 else: n = n/2 tlist.append(n) return tlist ##======================================== ## Find the length of the iterated values lists for 1 through MAXARG countList = [] ## list to hold list length for iterated values from seed listLen = 0 ## number of iterated values on list seed = 1 ## seed value to generate list pow = 10 ## threshold value to check length max = 0 while seed <= MAXARG: iterVals = itlist(seed) listLen = len(iterVals) print iterVals countList.append(listLen) if listLen > max: max = listLen if seed == pow: ## print pow,max pow = pow * 10 seed = seed + 1 OUTPUT: [1] [2, 1] [3, 10, 5, 16, 8, 4, 2, 1] [4, 2, 1] [5, 16, 8, 4, 2, 1] [6, 3, 10, 5, 16, 8, 4, 2, 1] [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1] [8, 4, 2, 1] [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1] [10, 5, 16, 8, 4, 2, 1]

## I lack skills to do any kind of formal analysis but it is an iteresting question it seems obvious that every list should end, but I couldn't prove it! ##If I didn't make a mistake, this should calculate the lists for every number 1-MAXARG ##save the length of the list of iterated values in a list of lengths ##print out the length of the longest list encountered at powers of ten (longest list of iterates from interval 1-10,1-100,1-1000 etc.) ##With a little modification, the code will also print the lists of iterated values (print iterVals) ## MAXARG = 10000000 ## itlist: return a list of iterated values for the argument def itlist(val): tlist = [] n=val while n > 1: tlist.append(n) if n & 1: n = (3 * n) + 1 else: n = n/2 tlist.append(n) return tlist ##======================================== ## Find the length of the iterated values lists for 1 through MAXARG countList = [] ## list to hold iterated values from seed listLen = 0 ## number of iterated values on list seed = 1 ## seed value to generate list pow = 10 ## threshold value to check length max = 0 while seed <= MAXARG: iterVals = itlist(seed) listLen = len(iterVals) countList.append(listLen) if listLen > max: max = listLen if seed == pow: print pow,max pow = pow * 10 seed = seed + 1 output: 10 20 100 119 1000 179 10000 262 100000 351 1000000 525 10000000 686

I don't know the scale, but the bomb is on a tower, and the "legs" are the guy wires for the tower vaporizing. There was more info in the links at the end of the io9 article, but some of them seem broken now.

Where's that lifeguard?...I keep wandering in over my head. If your model is wrong, and not just strange to me, i don't know enough to say which. What can proper time tell us about photons if it's zero for every photon. It feels like an "external attribute" like a name, and not something "internal" like polarity or frequency.

So is the proper time for a photon's journey from sun to earth about 8 minutes or zero ? It seems to me, if you allow c in the domain for calculating the spacetime interval, you get a verticle line on the graph and ds^2 is no longer a proper function.

This is where i get (even more) confused. Are you saying a photon exists from source to destination at one instant in time and the apparent motion is an illusion? It seems like the peak we are "riding along with" is not moving or changing it's just there one instant and gone the next. Can change occur without time passing? Edit: Maybe change can happen in zoro time

I apologize for my misunderstanding. When swansont asked Widdekind how he calculated proper time (for a photon) you posted an equation that doesn't seem to apply to the situation being discussed. Thanks for clearing that up for me.

Is there any connection between proper time and momentum? Considering the difficulty involved in arrainging for a single clock's world-line to intersect with the same photon twice, it's hard for me to understand how proper time relates to photons.

If a photon's proper time is zero, how can photons have different frequencies?

I would like to propose that we, here at scienceforums, abandon English as a failed protocol for communication. Perhaps we could base our new universal language on ADANACO, the language developed by butcher bob in the movie "Big Meat Eater". If you are not familiar with this film I would highly recommend you watch it. In addition to the genius of ADANACO, it is the best comedy-horror-scifi-romance-musical ever released to home VHS tape. IN anticipation of any misguided criticism, allow me to state your attacks just demonstrate your lack of understanding of my central point and my only response will be non-sequeters. Irrefutable PROOF!

-Led Zeppelin

Does C++ builder allow you to compile programs for the PIC? I've always used MPLAB and a programmer like the USB programmer . Are you working on a breadboard? Just to be clear I'm not endorsing any retailer in the links, just giving examples of the equipment I've used.

You could use a compass to find the poles. Drop some iron filings on it to see how the field is oriented. Maybe wrap the magnet in wax paper or plastic wrap to make it easier to remove the iron filings.

Have you considered Augmented reality ?

There are anti-static products for clothes dryers, maybe some kind of spray could reduce static buildup. I've heard plumbing also works well, if you can run a wire from the treadmill to a pipe.

Good edit: Triangles are assumed to be two-dimensional plane figures, unless the context provides otherwise (see Non-planar triangles, below) as for the rest of it you should take it to Wikipedia.

In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 2, the set of all such locations is called 2-dimensional Euclidean space or bi-dimensional Euclidean -Wikipedia I'm confused. Are we talking about 2-d or 3-d If we are talking 3-d then I agree. 2-d not flat is extrinsic curvature. If you are 3-d or more the curvature is obvious, not so much if you are 2-d.

If you replace Euclid's idea about no intersection with the idea of equal length perpendiculars everywhere between the parallel lines, then at most there is one parallel to a line. I think on a hyperbolic surface, a "line" equidistant from a straight line would not be the shortest path between two points and that makes it a curve, and on a sphere... well, you know. I'm not sure I understand the rest of your post, sorry. Could you try and say the same thing using different words ?