User talk:JayBeeEll/Archives/2013/

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COI and sock/meatpuppetry

Thanks for your edits at OMICS Publishing Group. Having been away from Wikipedia for a very long time, I've been getting up to speed on the editing patterns and made a few new comments at SPI that might be of interest to you. Keepcalmandcarryon (talk) 14:22, 26 May 2013 (UTC)

Thanks! --JBL (talk) 15:35, 26 May 2013 (UTC)

Reversion Question

Out of curiosity, why do those periods belong at the end of the equations in the permutation page? Exercisephys (talk) 17:48, 14 June 2013 (UTC)

In English, sentences should end in appropriate punctuation. This is true even if the last "words" in the sentence are in the form of a mathematical equation. --JBL (talk) 17:49, 14 June 2013 (UTC)

Re: Vector Space

Dear Joel,

I'm glad to discuss and encourage you to revert any part my edit that you find misleading or awkward. I admittedly do not understand mathematical language to the degree that is likely necessary for editing such pages; I only wanted to improve the style of the writing by paring away unnecessary words and replacing passive voice with active voice wherever I could. E.g., "For X there is a Y such that Z" could be more concisely written as "A Y such that Z exists for X" and "It is X that Y" could more concisely be rewritten so that X follows Y. Thanks for your patience!

--If to age is to callous over one's sympathy, then I shall remain a I child forever. (talk) 23:40, 9 August 2013 (UTC)

Hi Duxwing,

Sorry for the very long response time. The sentence "a Y such that Z exists for X" is much harder to decipher than the other version and because of the nontraditional order of quantifiers; in some cases it may have different meaning as a mathematical statement. (It is also not noticably more concise.) For example, the sentence "An element −v ∈ V for every v ∈ V exists" is impossible to parse because of the strange quantifier placement. I suggest that if you are not familiar enough with higher mathematics to understand the importance of precision in quantifier choice and order then you should tread very carefully when editing technical phrases. (Some of the other edits you made were unobjectionable or improvements, but they were all mixed in together and I didn't want to risk leaving an incorrect technical phrase.)

Separately, the phrase "such X exists that Y" is extremely discordant; I'm surprised that any native speaker of English would use it in any context.

All the best, JBL (talk) 02:09, 19 November 2013 (UTC)

Permutation

I read the immediately following sentences many times, and I cannot tell what are the slightly different meanings, or how they are related. How many different meanings are there? The lede leaves the impression that some confusion exists over the definition of permutation.

I think the lede should start by explaining to the lay person what a permutation is, then explain how other meanings might come up, and how they differ.

Thanks for reviewing my edit. Wikfr (talk) 21:17, 5 November 2013 (UTC)

As far as I can tell, there are only two, not several, meanings given: the informal, and the group theory definition. I simplified the first sentence to reflect that situation. Please take a look. Thanks. Wikfr (talk) 02:05, 6 November 2013 (UTC)

Hi Wikfr, sorry for taking so long to respond. I think your new version of the lead reads well, thank you. (FWIW, I think that if I were being maximally pedantic I could distinguish more than 2 different meanings of the word "permutation" in mathematics, but I don't think that I would improve the article by trying to make such a point.) All the best, --JBL (talk) 22:54, 18 November 2013 (UTC)

Taylor series

Let $f:\mathbb {R} ^{d}\to \mathbb {R}$ be a smooth function, $a,x\in \mathbb {R} ^{d}$. Then we define the function $F:\mathbb {R} \to \mathbb {R}$, $F(t):=f(a+th)$, where $h=x-a$. Then the following formula can be proven using induction and the chain rule:

$F^{(n)}(t)=\sum _{|\alpha |=n}(x-a)^{\alpha }D^{\alpha }f(a+th)$

, where $D^{\alpha }={\frac {\partial ^{|\alpha |}}{\partial x_{1}^{\alpha _{1}}\cdots \partial x_{d}^{\alpha _{d}}}}$.

Noting that $F(1)=f(x)$ and $F(1)=F(0)+F'(0)+{\frac {1}{2!}}F''(0)+\cdots$, we can conclude that the taylor series of $f$ in $a$ is

$Tf(x;a)=\sum _{|\alpha |\geq 0}^{}{\frac {(x-a)^{\alpha }}{|\alpha |!}}D^{\alpha }f(a)$

instead of

$Tf(x;a)=\sum _{|\alpha |\geq 0}^{}{\frac {(x-a)^{\alpha }}{\alpha !}}D^{\alpha }f(a)$

, where the difference is between $\alpha !$ and $|\alpha |!$ in the denominator.

This is why I edited the article Taylor series. --Mathmensch (talk) 21:04, 6 November 2013 (UTC)

EDIT: You were indeed correct. I missed to count the double occurances of the derivatives in the formula of $F^{(n)}(t)$. — Preceding unsigned comment added by Mathmensch (talk • contribs) 21:30, 6 November 2013 (UTC)

November 2013

Hello, I'm BracketBot. I have automatically detected that your edit to Differential poset may have broken the syntax by modifying 1 "()"s and 1 "<>"s. If you have, don't worry: just edit the page again to fix it. If I misunderstood what happened, or if you have any questions, you can leave a message on my operator's talk page.

List of unpaired brackets remaining on the page:

• poset. This construction also preserves the lattice property. It is not known for any ''r'' > 1 whether there are any ''r''-differential lattices other than those than arise by taking products
• |booktitle = Invariant theory and tableaux (Minneapolis, MN), 1988)

Thanks, BracketBot (talk) 20:44, 18 November 2013 (UTC)

Hi there wikiperson

I thought I would seek out people who recently had contact with me to ask them for assistence. You joined the talk page on Anthony Holland Composer.

I wanted to make a page about novocure A company unrelated to anthony holland but the do manufacture a device that is FDA approve to treat brain cancer and published phase 2 lung cancer results and they are doing the same thing as holland is doing or researching and experimenting into doing via an alternative emission route. I feel the reference creation of a page about novocure will provide validation that this is emerging scine not fringe scince nor conspiracy nor quackery. To say nothing about the notablity of a new modality that makes established treatment methods much more effective when they are not contraindacted as this device was made with those people in mind. This is a new and emerging field of medical science and is currently in practice . I think that should be well known.

How about it with a please on top :)

Do you think you could review a stub for me? http://en.wikipedia.org/wiki/Wikipedia_talk:Articles_for_creation/Novocure — Preceding unsigned comment added by 108.247.104.253 (talk) 00:50, 10 December 2013 (UTC) — Preceding unsigned comment added by 108.247.104.253 (talk)