Re: [Jprogramming] Jx version 1.0 release

2017-08-21 Thread Raul Miller
If you subscribe to the chat forum (perhaps after Jx v1.1 is released), and remind me of the questions you raise here, I will be happy to continue this discussion there. Thanks, -- Raul On Mon, Aug 21, 2017 at 11:24 AM, Jose Mario Quintana wrote: >> Won't this

Re: [Jprogramming] "n-volume" of an "n-sphere"

2017-08-21 Thread Murray Eisenberg
To the contrary, “n-disk” is a well-established mathematical term, for arbitrary dimension n = 1, 2, 3, 4, See, for example, http://mathworld.wolfram.com/Disk.html (which, alas, mangles the distinction between “disk” and “ball”). [Often, for

Re: [Jprogramming] Jx version 1.0 release

2017-08-21 Thread Jose Mario Quintana
> Won't this destroy adverb trains? I do not think so. I am not aware of any J adverb train destroyed by a Jx v1.1 interpreter. > > On Fri, Aug 18, 2017 at 6:04 PM, Jose Mario Quintana > wrote: > > Jx version 1.1, not yet released, allows adverbs and conjunctions to act on > > boxed

Re: [Jprogramming] Jx version 1.0 release

2017-08-21 Thread Jose Mario Quintana
The documentation for Jx v1.0 ( http://www.2bestsystems.com/fo undation/j/jx1/ ) has been fixed; thanks again for the feedback. On Fri, Aug 18, 2017 at 6:04 PM, Jose Mario Quintana < jose.mario.quint...@gmail.com> wrote: > Inline comments follow... > > > Hi all ! > > > > I tried out the

Re: [Jprogramming] "n-volume" of an "n-sphere"

2017-08-21 Thread Jose Mario Quintana
Right, a seemingly stronger statement but actually equivalent, because of rescaling, is: Given a fixed E (regardless of how small) and a fixed R (regardless of how big) there is a dimension n such that an n-cube with edge size E cannot be covered by an n-ball of radius R. One, well-known, way to

Re: [Jprogramming] "n-volume" of an "n-sphere"

2017-08-21 Thread R.E. Boss
AFAIR disk is not a mathematically defined term for high dimensions. Ball is as you defined it, where one can argue whether the distance is "strictly less" or " at most" r. Sphere is the definition where the distance is equal to r. R.E. Boss > -Original Message- > From: Programming