mathematic
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I gave you the answer on another forum. The second term is wrong. It should be (da/dt)/a2
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I began using windows 7 recently. Included is a module (?) called "Silverlight". What is it used for and how does one learn how to use it?
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What has this got to do with computer science?
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I don't think there is any reason for the degenerate matter to explode outwards - its gravity holds it together. there is probably a mechanism for it to expand slowly - bit one doesn't present itself to mind. I guess it would fall straight to centre of earth or damn close, a grapefruit sized lump would have a mass of ~10^14 kg and would be have an attraction to the centre of the earth of about ~10^15 N
If you got a small chunk (I'm guessing), gravity would be too weak to hold together against quantum mechanical forces.
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I would guess that if you somehow got a piece of degenerate matter on earth, it would quickly become undegenerate. I won't venture as to end product, but I suspect it would a massive block of ordinary matter.
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What was the Size of the universe right after inflation?
http://en.wikipedia.org/wiki/Inflation_(cosmology)
Above will help.
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I think I made myself a bit unpopular on the speculations forum, by criticising physicists' religious beliefs, and making fun of their imaginary beings (dark matter, quarks, gluons, and Higgs).
So to show that I am truly penitent, I have been trying to act like a proper physicist, by doing some pointless calculations about the size of the earth's equatorial bulge. The article is too long to post here, but can be seen at http://squishtheory....uatorial-bulge/.
The highlights are, that by assuming the mass of the earth to be uniformly distributed, I actually got the same value as Newton calculated in the Principia, though by a very different method. To get the measured value of 21.36 km, I had to assume that the core of the earth is actually much denser than the crust.
Your assumption about density is valid in fact.
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what do i do here ?
u=x^3
du=3x^2dx
You should be able to continue.
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Something going into a black doesn't cease to exist. It just can't get out. What happens inside is unknown.
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The laser is transmitting coherent photons. What happens later doesn't affect what comes out of the laser.
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If the mass of the photon particles are zero, then how will the gravitational energy of black hole effect the benting of the light and how will light be atracted towards a black hole when light(photon particles) pass near the event horizon of a black hole?
In general light is affected by gravity (black holes or otherwise). The 1919 Eddington experiment involved measuring light rays attracted by the sun's gravity - a test of General Relativity.
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It wouldn't burn up, but 6% extra energy reaching the surface of the earth would most definitely screw up the climate.
Our average temperature on earth might increase just 5 degrees perhaps... that's still enough to change everything.
And in addition, every year, we would have a period where the night just does not get dark, because Jupiter would be shining on the now-not-so-dark-side of the earth.
6% is the maximum. The minimum would be less than 3%. Moreover this assumes Jupiter could give off as much radiation as the sun. Since it is much smaller, this would be very unlikely.
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Jupiter is 5.2 A.U. distant from the sun, which means that the closest it gets to earth is 4.2 times the distance the earth is from the sun. Therefore Jupiter, if it were giving out as much energy as the sun - which is impossible, would add less than 6% to the total energy on the earth.
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There is a notion of Planck time (~10^-43 sec.). There are questions about whether going any smaller is physically meaningful (Of course mathematically there is no limit).
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After division by Δx, the first term is 1, while the remaining terms -> 0.
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Your calculation looks right. Books can be wrong.
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http://www.cut-the-knot.org/proofs/index.shtml
maybe this will help. Also try Google "mathematics proof".
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How did it get to be a plasma at room temperature?
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Your logic has nothing to do with physics.
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Dark matter interactions, except for gravity, are an open question. I don't think anyone could answer your last two questions, except to say there is no evidence of either phenomenon.
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A quantitative analysis (which I believe has been made by physicists) would refute your ideas. What are off-shell particles???
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The evidence for dark matter is the fact that if it wasn't there, galaxies and galactic clusters would fly apart. There just isn't enough (by about a factor of 5) to hold these things together.
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The magnetic field between magnetic dipoles. It is caused by the exchange of virtual photons. In symmetric 3-dimensional space this exchange results in the inverse square law for magnetic force. Since the photon has no mass, the magnetic potential has an infinite range.
From the cited article. What do you mean by space between the lines? The lines form a continuum.
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Pi can be, and is, defined in modern mathematics independently of any geometric construction, though pi is the ratio of the circumference of the circle to its diameter.
Herewith is the modern analytic definition:
The complex exponential function defined by the power series
[math] e^{z} = \displaystyle \sum_{n=0}^\infty \frac {z^n}{n!}[/math]
can be shown to be periodic (see e.g. Rudin's Real and Complex Analysis for an elegant proof). [math]\pi[/math] is defined to be the period of this function divided by 2i.
This gives you a definition traceable to the Zermelo Fraenkel axioms and quite independent of Euclidean geometry.
If this is not familiar, recall the Euler formula [math]e^{i \theta}= cos \theta \ + \ i \ sin \theta [/math] .
Pi can be defined either way, depending on your taste. ZF or Euclid.
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What does this error mean?
in Analysis and Calculus
Posted
I suggest you consult the manual for the calculator.