If you calculate any digit of pi without having to know its surroundings, you would have to calculate an infinite number of 0's before you could be sure that it terminated.
Light moves at 299792458m/s (in a vacuum) compared to the velocity of any reference frame.
The equation for calculating recession (and indeed approach speeds) is as follows, where a is the velocity of one object, b is the object moving away from it (or vice versa, it doesnt matter), and c is the speed of light in a vacuum
recession speed of (a,b) = (a+b)/(1+ ab/c^2)
Mathematically, there are infinite dimensions.
You can't use M-Theory as an example of a physical theory, as it's nowhere near complete. Empirically there are 4.
Well, hawking isn't really all that respected because he dumbs all the science down in his books until it's actually wrong.
And the axes intersect eachother at 0, as will all axes, and are at right angles to eachother.
(Real x, imaginary x, real y, imaginary y)
I believe that this wouldn't work, as the atmosphere would be stripped off by the solar wind, as mars doesn't have a large enough magnetic field to divert it.
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