yeah; first, do no harm, or assign yourself to an automatic "opt-in to your killfile, thank *me*."
anyway, that is not Bucky's sytem, but Cliff's. at least, he is not among the fanatics, who beleive what Bucky saith, that he alleviated the need for math with Nature's Co-ordinating System -- as important as some of that is.
"to remove me from your killfile, sends you Social Security Number to tim@polysignosis.org; thank *you*."
thsNso: "pressure equals a third of energy density" -- really?... well, a tetrahedron is a third of the volume of the parallelopiped that it's inscribed in; so, there.
"spacetime" is a totally useless word for concepts, since it is merely phase-space of ordinary space; just use quaternions, real part as time. (funny thing: I just read that Hoagland's "hyperdimensional physics" was nothing but quaternions "a la Maxwell," Yahoo!TM .-)
thusNso: I don't see any neccesary resaon for *any* irrational number to have a maximum run of any digit in what ever integral base; so, rake one coal over yourself for propitiating such a silly idea!
on the wayside, 0.999.... does not = 1; it equals 1.000...., the "real"number, one; take a hop, a skip & a jump over Tony Robinson's bed (of coals).
> Many irrational numbers have this property that there is a maximum run of > one or all digits. Despite the fact that the probability of this occuring is
thusNso: the second part of the question is clearly trivial, and the first part seems to be its inverse, or what ever.
have Farey sequences ever been used for continued fractions, or does that make any sense, at all?
> Example: The fraction 4 / 97 occur in the place 197 of > the Farey's sequence of order 113. How can I know it > without calculate all the smaller terms?
--Pi, the surfer's canonical value -- good to at least one place! http://wlym.com