234:"When an exponent is zero, the corresponding power expression is usually omitted from the term." I was thoroughly confused by the intended meaning of this. Does it simply mean that any x or y raised to the power 0 is taken to be 1? If so, why not say exactly that? Otherwise, it's unclear what exponent is being referred to, what power expression is being referred to, and what is meant by "associated" power expression. If that is *not* what is meant, then I would request that the statement be rewritten to clarify the intended meaning.
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If you're unwilling to discuss, then you have no basis to continue to insist on your changes. If there's objection to those changes, you need to pause and resolve that objection rather than just plowing ahead. I've made some specific points here which should be addressed. Since you're unhappy with
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The section on the infinite series for e is alright up until "This indicates that e can be written as a series:", at which point rigor and accuracy is lost. See Rudin, Priniciples of
Mathematical Analysis, Section 3.3.1, for a proof. The mistake in the page as it exists is that it is not sufficient
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not only shows a willingness to use the Talk page constructively, he shows an enthusiasm for doing so. Therefore I endorse the standard advocated by Deacon Vorbis. The editor at 80.65.247.112 should either adopt the
Knowledge way of doing things, or get used to the idea that all his hard work will
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Bill
Cherowitzo's version was much better than the previous one, but I think consideration of weight dictates that we should just ignore this issue in the lead paragraph. It's a minor technical detail, and it was receiving more prominence than binomial coefficients. We can address it in the body,
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I understand that a similar issue was addressed under the "Multiple issues" section, but I wanted to keep a concrete discussion just for this change. If a citation is found, please feel free to enter a citation. Otherwise I will be forced to remove the content according to the
Knowledge: Original
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This produces no difference in rendered output. A small handful of the changes you made were reasonable, mainly display mode vs. text mode for binomial coefficients. I reinstated those (which you took back out in your rush to revert me), but the vast majority were either unnecessary or actively
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To help settle this recent conflict, I'm starting this talk page section. To the IP who keeps edit warring their preferred version in, there are a lot of inappropriate spacing changes you're making, as well as things like changing the capitalization of piped links (the link part, not the visible
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I think it's better to cite Rashed here, because the source used is St
Andrews, but while O'Connor and Robertson quote Rashed's statement, and apparently agree with it, the statement itself is Rashed's alone, and would be best cited directly to the source where he makes it. Not doing so when the
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Hi! The substitution of e^ax and e^bx into the general
Leibniz formula seems to have no sources and thus seems to be original research. Although I understand that this substitution is correct mathematically, but there are no published sources having the same idea. Please take a moment to review
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I suggest that following the first sentence: "In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial." that a sentence is added stating "For binomial expansions where the exponent is not a positive integer, see the article
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That's only one issue :p. Abstractly you are certainly right; concretely, are there any particular places you think are suspect (either, might be wrong, or with inappropriate weight, or original research)? Because "please make the article better" alone is not very constructive.
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In the examples section there are some with fractional or negative exponent, but the generalized binomial theorem that deals with those cases is only mentioned later. Up to this point only non-negative integer values of $ n$ have been considered and the summation is always
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The only reply to your only point, which is to assert "inappropriate", is to assert "appropriate". I am not going to further engage in pointless rhetoric with people want to claim that some standard should be met, never stating that standard, and moving it when it pleases
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is a pretty good idea. If someone reverts your changes from the status quo, it's really up to you to try to justify the changes, not make snarky retorts that don't address the disagreement. So again, please discuss here rather than trying to re-add.
1414:, available for digital borrowing. This is single-variable calculus part of the combined book. Therefore, the Leibniz formula is expected to be in here. However, after extensive searching, no record of the Leibniz formula was found here.
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I notice that 80.65.247.112 doesn't want to say much on this Talk page, and doesn't leave edit summaries to give some hint as to his motivation. Neither of these habits is compatible with the way we do things on
Knowledge. Conversely,
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This isn't OR; I'm having trouble finding a good ref for it, but a quick google search finds a lot of message-board type expositions of this fact. While a source would be ideal, the ease with which one finds non-RS discussion +
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I agree with both proposed edits (removal of out of scope examples and addition of a sentence pointing to the binomial series, possibly to the lead of the article where it can easily be located).
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my use of "inappropriate", I'll elaborate on the spacing. You're using little-used manual spacing templates that aren't well known, aren't needed, produce inconsistent results, run contrary to
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part); this should not be done. There are also a lot of invisible wikicode changes you're making. These are fine in and of themselves, but edits should not be made just to do that. See
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Added to the source "Calculus in One and
Several Variables" by Robert Seeley since the book does not contain the Leibniz formula at all. The "Calculus for One Variable" can be found
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Then, I suggest that the examples (pasted below) regarding square roots (n=1/2) and negative exponents (n=-1) be removed, because they are clearly out of scope of this article.
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638:{\displaystyle {\frac {1}{\sqrt {1+x}}}=\textstyle 1-{\frac {1}{2}}x+{\frac {3}{8}}x^{2}-{\frac {5}{16}}x^{3}+{\frac {35}{128}}x^{4}-{\frac {63}{256}}x^{5}+\cdots }
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Yes, I'm sorry: this is not original research. Thank you for the source! And yes, I find the main article
Leibniz rule citation better: I'll correct that.--
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963:. manual cross check, ready to fly, although can a bot really claim to be a fellow Wikipedian..... Asimov would likely say yes, so hand shake the robot
478:{\displaystyle {\sqrt {1+x}}=\textstyle 1+{\frac {1}{2}}x-{\frac {1}{8}}x^{2}+{\frac {1}{16}}x^{3}-{\frac {5}{128}}x^{4}+{\frac {7}{256}}x^{5}-\cdots }
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Currently only a history is provided with enough citations and the rest is poorly sourced. Would be nice of someone adds a couple of links out there.
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to say that the in the limit kth term is 1/k! implies that the entire series of 1/k! terms is equal to the original series.
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harmful. I don't know why you feel such a need to see these edits stand, but there are good reasons why they shouldn't. –
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Original
Research in substitution of of e^ax and e^bx in general Leibniz formula section of generalizations
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Reference the "Binomial series" and remove examples when n is not a positive integer.
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source is readily available online is very poor scholarly practice. Best regards.---
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that you could probably use if you think it's better. You could always just cite
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probably lets this one stand. As for the Leibniz rule, there's another source at
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Ref added for the binomial theorem as a corollary of the Leibniz rule. –
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after the link to keep me from modifying it. Alternatively, you can add
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http://www.haverford.edu/physics/MathAppendices/Binomial_Expansions.pdf
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An editor has reviewed this edit and fixed any errors that were found.
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to keep me off the page altogether. I made the following changes:
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Good point. Should have thought of doing that myself. Thanks.
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Sometimes it may be useful to expand negative exponents when
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When you have finished reviewing my changes, please set the
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one day amount to nothing. It should be an easy decision.
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too, or probably hundreds of other Calculus textbooks. –
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I have just added archive links to one external link on
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