1
$\begingroup$

I need a least positive number and I am considering $\delta$, $\epsilon$ and $\theta$. Which one would be best to start a sequence? Are there any others I should also consider?

Edit:

$a(0)\text{:=}\theta$

$a(n)\text{:=}\left \lceil \left(x=a(n-1)\right)+x^{\frac{1}{2}}\right\rceil$

The starting number can be anything $0<\theta<1$

$\endgroup$
2
  • 1
    $\begingroup$ To start a sequence of what? $\endgroup$ – MJD Jul 8 '12 at 21:34
  • 1
    $\begingroup$ I think there is no answer to this question, but at minimum you should give a lot more information. What are you doing with this sequence? What is it a sequence of? What does the phrase "the least positive number to start a sequence" mean? $\endgroup$ – Zev Chonoles Jul 8 '12 at 21:37
1
$\begingroup$

$\delta$ and $\epsilon$ have particular common uses which seem not the same as yours, so given those choices I would use $\theta$. But I'd have to know more about your use to say for sure.

$\endgroup$
0
2
$\begingroup$

A fairly commonly used name for the starting point, at least for arithmetic and geometric sequences, is $a$. Another possibility is $c$, for a generic constant.

Or else in your case, depending on the indexing, you could use $a(0)$, or $a(1)$. Using Greek letters in this type of context is less traditional. But there is nothing wrong in doing so.

$\endgroup$
0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.