...<jonescard...@aol.com> wrote: Is the infinity of a sequence greater than an...here is an aggregate or random infinity whose numerals just happen to ...One could argue that a random infinity sequence ?must by definition contain ...be completely random) whereas a sequenced ?infinity contains no random sequences. Therefore ... from the random infinity, especially if the signs are the same ...
...<jonescard...@aol.com> wrote: Is the infinity of a sequence greater than an...here is an aggregate or random infinity whose numerals just happen to ...One could argue that a random infinity sequence пїЅmust by definition contain ...be completely random) whereas a sequenced пїЅinfinity contains no random sequences. Therefore ... from the random infinity, especially if the signs are the same ...
.... Zero is NOT simple, so signs for zero become more an issue ... justice to the issues of a sign for it. You're erroneously ...simply adding a plus or minus sign to zero isn't sufficient to...the complexities. Perhaps the +/- (single character) sign needs to be added. I ... related to problems of the sign of zero in computers. What ... to do justice to the sign of zero when ignoring the ...
... is a simple concept, but rather the sign of zero. But the sign of zero is an issue, in part, because zero is not ...simple. Zero is NOT simple, so signs for zero become more an issue ... justice to the issues of a sign for it. You also seem to...intimately related to problems of the sign of zero in computers. Your choice...hard to do justice to the sign of zero when ignoring the issues...
... zero is a simple concept, but rather the sign of zero. In your polar representation example, ... language signum() return a unit with the same sign as the argument. But with a complex arg, ... argument. Obviously phase is a similar concept to sign. (In lisp, signum(X), for non-zero X is...Lisp is that on zero arguments signum() discards the sign and returns just zero. At the very least, ...
tholen@antispam.ham wrote: (snip) The issue that Giles and I were discussing wasn't whether zero is a simple concept, but rather the sign of zero. In your polar representation example, you actually made life easier, because there is no negative zero. Well, there is 0 with phase 0 and zero with phase pi, and zero with phase pi/2 (imaginary zero), and zero with phase -pi/2 (...
... one is surprised, after all, infinity should be difficult. Consider the ... are infinitely many representations for infinity. In a polar representation, one ... a single unique point called "infinity". Which of these three representations ... THREE ARE. So is complex infinity singular or infinite in representation?... simple concept, but rather the sign of zero. In your polar ...
..., and there should be no sign associated with an exact zero. ...no one is surprised, after all, infinity should be difficult. Consider the ... are infinitely many representations for infinity. Finally, consider the complex numbers ... a single unique point called "infinity". Which of these three representations ... THREE ARE. So is complex infinity singular or infinite in representation? ...
... BTW, for the enjoyment of it I once experimented with a thing like #define oo DBL_MAX which perhaps was useful as it resembles the infinitysign, which conceptually could contribute to enhancing readability when writing things like minval = oo; for(i=0; i<maxi; ++i) minval ...
... Fortran90. BTW, for the enjoyment of it I once experimented with a thing like #define oo DBL_MAX which perhaps was useful as it resembles the infinitysign, which conceptually could contribute to enhancing readability when writing things like minval = oo; for(i=0; i<maxi; ++i) minval = min(v...