Draft:Alladi Grinstead constant

Draft article not currently submitted for review.

This is a draft Articles for creation (AfC) submission. It is not currently pending review. While there are no deadlines, abandoned drafts may be deleted after six months. To edit the draft click on the "Edit" tab at the top of the window.

To be accepted, a draft should:

Show the subject qualifies for a Wikipedia article by using multiple sources that meet four criteria. The sources should be (1) reliable (2) secondary (3) independent of the subject (4) talk about the subject in some depth. For some topics, there are alternative criteria.
Be written from a neutral point of view
Respect copyright and do not plagiarize. Do not copy-paste.

It is strongly discouraged to write about yourself, your business or employer. If you do so, you must declare it.

Where to get help

If you need help editing or submitting your draft, please ask us a question at the AfC Help Desk or get live help from experienced editors. These venues are only for help with editing and the submission process, not to get reviews.
If you need feedback on your draft, or if the review is taking a lot of time, you can try asking for help on the talk page of a relevant WikiProject. Some WikiProjects are more active than others so a speedy reply is not guaranteed.

How to improve a draft

Wikipedia:Contributing to Wikipedia – a basic overview on how to edit Wikipedia.
Help:Wikitext – how to use the markup
Help:Referencing for beginners – how to include references
Wikipedia:Article development – how to develop your article
Wikipedia:Writing better articles – how to improve your article
Wikipedia:Verifiability – make sure your article includes reliable third-party sources

You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article.

Improving your odds of a speedy review

To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags.

Add tags to your draft

Editor resources

Easy tools: Citation bot (help) | Advanced: Fix bare URLs

Last edited by David Eppstein (talk | contribs) 2 months ago. (Update)

Submit the draft for review!

In the mathematical discipline of topology, the Alladi Grinstead constant is a mathematical constant.

Value

The decimal representation of the Alladi–Grinstead constant begins:

0.80939402054063913071793188059409131721595399242500030424202871504... (sequence A085291 in the OEIS)..^[1]

Computation

The value can computed by the below formula.^[2] Let $c=\sum _{k=2}^{\infty }{\frac {1}{k}}\ln {\frac {k}{k-1}}.$ Then the Alladi–Grinstead constant is $\exp(c-1)$ .

History

The concept was introduced by mathematicians Charles Grinstead and Krishnaswami Alladi in a 1977 paper.^[3]^[4]

Applications

The Alladi Grinstead constant has many important applications in homotopy theory.

References

^ [1]
^ Plouffe, Simon, "The Alladi-Grinstead constant", Plouffe's Inverter, retrieved 2025-08-20
^ Weisstein, Eric W., "Alladi–Grinstead Constant", MathWorld
^ Alladi, Krishnaswami; Grinstead, Charles (1977), "On the decomposition of $n!$ into prime powers", Journal of Number Theory, 9 (4): 452–458, doi:10.1016/0022-314X(77)90006-3, MR 0453674

External links

[1] [1]

[2] Plouffe, Simon, "The Alladi-Grinstead constant", Plouffe's Inverter, retrieved 2025-08-20

[3] Weisstein, Eric W., "Alladi–Grinstead Constant", MathWorld

[4] Alladi, Krishnaswami; Grinstead, Charles (1977), "On the decomposition of $n!$ into prime powers", Journal of Number Theory, 9 (4): 452–458, doi:10.1016/0022-314X(77)90006-3, MR 0453674

[1]

[2]

[3]

[4]