Talk:Smarandache function
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Now all the Smarandache constants from 1 to 16 are latex typeset in the article. Please improve the article, but do not blank portions of it. Your cooperativity is appreciated. Danko Georgiev MD 02:24, 11 May 2007 (UTC)
- It would be appreciated if you placed the full name of the authors of the articles, rather than Name I. That is considered a depreciated style in Wikipedia. I fixed most of your other articles, but I don't have adequate information to do it here. Alternatively, remove the initials entirely. — Arthur Rubin | (talk) 06:19, 16 May 2007 (UTC)
- Thank you for comments, however this is the preferred reference style by me and follows the guidelines of PubMed. I am not aware whether in mathematics this is bad style to provide refs, but as I have provided DOI clickable links at all places where possible, I don't think my ref style is bad. I prefer to edit something with meaning, and although I conform my articles to the PubMed ref style, I have no time to re-edit the refs. Please appologize me for that, there are Wikipedians that are spell-checkers, etc., so some person who is interested to repair the ref style of articles is free to do it. I don't mind this :-) Danko Georgiev MD 07:18, 17 May 2007 (UTC)
- The original wikipedia page seems to have been copied and pasted practically unchanged from MathWorld by a lazy editor. As a result the conventions used for references there are what appear here. The only contribution of the original editor seems to have been to add faulty links to Smarandache's Notions Journal on Smarandache's home page. They appear as SNJX.pdf rather than SFJX.pdf on Smarandache's home page. I have therefore removed these faulty links. Any person who is interested in providing correct links may do so. I don't mind this ;-) I hope such a person will find the time to do so. --Mathsci 22:44, 5 June 2007 (UTC)
- Thank you for comments, however this is the preferred reference style by me and follows the guidelines of PubMed. I am not aware whether in mathematics this is bad style to provide refs, but as I have provided DOI clickable links at all places where possible, I don't think my ref style is bad. I prefer to edit something with meaning, and although I conform my articles to the PubMed ref style, I have no time to re-edit the refs. Please appologize me for that, there are Wikipedians that are spell-checkers, etc., so some person who is interested to repair the ref style of articles is free to do it. I don't mind this :-) Danko Georgiev MD 07:18, 17 May 2007 (UTC)
- I am the "lazy editor" both on Wikipedia and PlanetMath see my user page. I have replied in detail at MathSci's talk page. Danko Georgiev MD 13:05, 6 June 2007 (UTC)
[edit] Proposal to remove some material on Smarandache constants
I propose that the material on convergent series related to S(n) be considerably shortened or removed altogether. It could be replaced by a short description of one or two representative results, possibly with a corresponding result for the pseudo-Smarandache function. Taken as a whole, the sixteen constants of Samarandache are arbitrary and seem to be quite unremarkable. They do not seem to merit the disproportionate amount of space devoted to them. (In addition some errors seem to have been introduced during the transfer from MathWorld articles or the orginal primary sources.) --Mathsci 19:00, 26 July 2007 (UTC)
- I have made the proposed changes, including Richard Pinch's result on the convergence of the series for Z(n). If you object to these changes, please discuss them on this talk page. Throughout its history S(n) has appeared in recreational problems, often of an advanced nature, but sometimes trivial; we don't need to list all these problems on WP. --Mathsci 06:17, 27 July 2007 (UTC)
[edit] almost all
The article says
- ... Paul Erdos pointed out that for almost all n the function S(n) coincides with the largest prime factor of n.
Unfortunately it's not clear from context what "almost all" means. It could mean "with only finitely many exceptions" (that's probably the most available reading, but intuitively it seems unlikely; if there are exceptions I'd expect infinitely many). Or, it could mean that the set of exceptions has asymptotic density zero. Or it could mean something else. Can anyone clarify? --Trovatore 18:32, 5 August 2007 (UTC)
- This is explained in the reference (it can be accessed through jstor). Erdos himself used the phrase "almost all". He then made this precise: the number of integers less than n for which the assertion is true, when divided by n, should tend to 1 as n tends to infinity. I suspect this is what you mean by asymptotic density. Pleae feel free to clarify this sentence ... without making it unreadable. --Mathsci 19:30, 5 August 2007 (UTC)
