Paul,
> What!?? You surely don't mean that. I've asked previously and you said
> they were of the same length. You have lead both Brian and I to believe
> interval lengths were constant. My irate meter just went up a couple
> notches.
25th June I said what I thought was the closest I have got to stating
anything along those lines:
"When I lay down my propositions, I have a list of conditions. I begin
saying 'given x,y' (actually, perhaps I should add 'and x',y''), and go on
to say if [a) to g)], then..... "
And that still holds true. Perhaps I should put it in other terms?
> *******
> Let |N be the set of non-negative integers.
> Let I be a finite interval of integers.
>
> DEFINITION 1. For a function t : |N -> N define
> c_t(n) = (1/2)*t(n)*(t(n) - 1).
>
> DEFINITION 2. For a set of primes J define t_J : |N -> |N by
> t_J(n) = |{p in J : p divides n}|.
>
> REMARK. For convenience of notation we will write c(J, n) instead of
> c_(t_J)(n).
>
> DEFINITION 3. For t : |N - |N define s_I(t) = sum(t(n) : n is in I);
> define s'_I(t) = sum(t(n) : n is in I and t(n) > 1)
>
> ********
>
> I suggest you take these or something very similar and go from there.
Thanks indeed.
> [...]
>
>> In particular I am wavering in the phrase ".for each of at least |J|
>> values
>> of n over [x,y]."
>
> Should be "in".
>
>> I get the feeling also that I might also need a bit of help in the use
of
>> "for which" in preference to "such that"..
>
> Probably doesn't matter provided the rest of the grammar is correct.
>
>> One other cheeky question, if I may:
>>
>> I'm trying to say, in a part of one of my equations, "sum(t(n) over
[x,y]
>> for all n for which t(n)>1)".
>
> See DEFINITION 3.
>
Cheers. Will have to digest all that....
|
