Computer class in school, spring of 1959. Coded in Hex, 512 bytes of memory (recirculating drum), 32K mass storage that was so big one didn't know what to do with it. Solved differential equations, linear systems with rational coefficients, and computed root locus diagrams. When somebody came along to add an assembler I didn't see the point, as it wouldn't even let you use instructions as data, and made it more difficult to plan jumps to account for the rotation of the drum. If you used floating point you lost 128 bytes of the memory. It was a very different world.

Terminal velocity as you describe it is caused by drag. Drag has nothing to do with the escape velocity from a black hole.

But doesn't it seem a little strange? The escape velocity is greater than the speed of light, but a particle falling in does not reach the speed of light (understandably). Maybe someone conversant in relativity can explain this.

If the particles were at the speed of light that would be infinity watts, whatever that means.

Since the escape velocity from a black hole "exceeds" the speed of light, particles arriving at the event horizon have a lot of energy. The energy from these particles is enough for the creation of another universe. The space inside a black hole expands (in a direction orthogonal to our space dimensions) forming the big bang starting that universe.

Using 4.0 on Gentoo for about a week now.

If we assume c can be factored as a (a+2^k) then the resulting quadratic gives a = -2^{k-1} + sqrt(2^{2k-2}+c). Thus for such numbers that allow factoring in this form, one can search for the factors in time linear in the number of bits in c. (One just needs to check for 2^{2k-2} + c being a perfect square, for the various values of k.)

So where is the two bit difference?

1958, ALWAC IIIE with 512 byes of memory in a recirculating drum. Huge mass storage of 32K bytes that could be loaded into the 512 bytes in blocks of 128 bytes. Software 32 bit floating point used up 128 bytes of the 512. A good system to learn some good habits and some terrible ones. Of course, there was no assembler at first, but once you learned the hex codes a later assembler forced one to do silly things like not use instructions for data so who needs a higher order language?

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