As Achilles's trajectory must be continuous, by the definition of continuity (applied to instant t = t* = 1 P.M).
Presumably the machines Mn will act successively on him, collectively performing a supertask that will bring the warrior in t = 2 to rest at x = 0 (as, under the principle of continuity, Achilles' path must be continuous).
Since the fluid passing any cross section must be continuous based on the law of continuity, the velocity increases by increasing distance from the walls.
Now, the QM measure μ is continuous, so Gleason's theorem in effect proves that every probability assignment to all the possible properties in a three-dimensional Hilbert space must be continuous, i.e. must map all vectors in the space continuously into the interval [0, 1].
It must be continuous evolution.
His exact words were: "Music must be continuous.
Such drives must be continuous because "permanent" nets wear out after three to five years.
In almost all cases, the service must be continuous, and the final week completed in full.
A differentiable function must be continuous, but the converse is false.
Sound, unlike images, cannot be reproduced intermittently; sound must be continuous to be realistic.
Finally, Mr. Liss said, in New York the use must be continuous for at least 10 years.
