![]() |
Hi A1E6! Thanks for contributing to Wikipedia. We hope to see you there!
Delivered by HostBot on behalf of the Teahouse hosts 15:00, 14 February 2019 (UTC) |
Just a heads up, but the use of \operatorname
for functions like etc. is generally inappropriate. –
Deacon Vorbis (
carbon •
videos) 23:55, 24 February 2019 (UTC)
\operatorname
without making the f set in roman. Plus, doing it like this, the spacing is now wrong on the left instead. Also, testing this on a normal LaTeX distribution, using \opertorname
doesn't produce the same effect. So this is just exploiting a weird quirk in the Texvc engine that Mediawiki uses in order to produce spacing that you happen to think is slightly better, but only for greek-letter function names. That's not a good enough reason to make such changes. Hello, I'm
DVdm. I noticed that you made a change to an article,
Generalized continued fraction, but you didn't provide a source. I’ve removed it for now, but if you’d like to
include a citation to a reliable source and re-add it, please do so! If you think I made a mistake, or if you have any questions, you can leave me a message on
my talk page. Thanks.
DVdm (
talk) 18:37, 13 July 2020 (UTC)
You reverted my change of 2020-09-03 on 2020-09-05. I believe it was valid. I now also have several other changes to the Logarithmic Forms that I believe make them valid everywhere for principal values of the functions, not just on the complement of the branch cuts. I am opening a section called Complex logarithmic forms in the Talk for the article where we can discuss all this if you are interested. Rickhev1 ( talk) 18:29, 8 September 2020 (UTC)
Please do not add or change content, as you did at
Sine, without citing a
reliable source. Please review the guidelines at
Wikipedia:Citing sources and take this opportunity to add references to the article. Thank you. -
DVdm (
talk) 15:49, 1 March 2021 (UTC)
Note, see also wp:NOR and wp:CALC. Cheers. - DVdm ( talk) 15:50, 1 March 2021 (UTC)
Thank you. For many years I've been thinking that I am (almost) alone. Almost always. Guswen ( talk) 17:46, 23 November 2021 (UTC)
Dear A1E6,
I have been attempting to introduce a simple and straightforward simplification of the black hole surface gravity. Schwarzschild radius is . Hence . Thus a black hole surface gravity is . This form is simpler as it depends only on D, but the "resistance of the matter" is similar to that that we experienced in our struggle to maintain the unit n-ball picture in the Volume of an n-ball last November [1]. I am not an experienced Wikipedian, so I simply don't know what should I do. I will appreciate, and in advance I thank you for an advice. Guswen ( talk) 08:52, 8 March 2022 (UTC)
Hi, you have improved the Lemniscate elliptic functions page a whole lot and you have my gratitude for it, I don't understand much but there is aformula that catched my attention which you added in February later you cited a reference which contains the first equality but I think it doesn't contains the second so I would like to ask you how is done (or a reference), thanks in advance and best regards Dabed ( talk) 21:30, 11 June 2022 (UTC)
Dear A1E6,
My recurrence relation without was eventually published [1], so I have added it for this article. Maybe some other researcher discovers, on this basis, fractional forms of this sequence, for example (?). However, my edit was again reverted by User:David_Eppstein as "Undo the return of the ridiculous negative-dimensional crankery". Why? Guswen ( talk) 13:44, 26 June 2022 (UTC)
References
{{
citation}}
: CS1 maint: unflagged free DOI (
link)
Now I provided even many essay sources that contain the hyperbolic lemniscate cotangent. I know the page Bring radical#The Hermite–Kronecker–Brioschi characterization already and I researched all the formulas I entered into the nome article very accurate. I even derived and established these formulas very detailled. Therefore I hope that you will not erase these very important formulas ever again. These formulas are exactly correct and they indeed belong to the nome article. So leave these formulas inside this Wikipedia article! The sources support the formulas. And please do me even a further favour! Please read the German Wikipedia article https://de.wikipedia.org/wiki/Bringsches_Radikal very carefully! In this article the Bring radical is defined with a positive first derivative and therefore negative to the definition some other sources make. But all these formulas in that article according to the definition made in this article are correct. And this German article with the name "Bringsches Radikal" describes everything even extremely accurate. There are also all these essays that bring forth all these formulas that are standing in this German Wikipedia article. Especially the essay of Charles Hermite and the essays of the mathematicians Young and Runge and all these authors of mathematical essays explain the thing with the modulus and the fifth root radical combinations of the elliptic key and the transformation to the Rogers-Ramanujan continued fractions and everything else very extensively. And all of these definitions of the hyperbolic lemniscate functions I gave in the nome article can also be found in many sources. For this purpose please read the German Wikipedia article Hyperbolisch lemniskatischer Sinus on that page: https://de.wikipedia.org/wiki/Hyperbolisch_lemniskatischer_Sinus I wish you the best understanding and have a nice time!
Lion Emil Jann Fiedler also known as "Reformbenediktiner" Reformbenediktiner ( talk) 08:34, 4 July 2022 (UTC)
Alright! I will be much more careful from now on. And I watched out, that I do not enter results of original research. I really watched out, so that I do not produce any complications. I made some entries into the article Jacobi elliptic functions. This time I behaved the right way. I did not make original research but I really used the Literature. The sequence and its correlations were found out already by many mathematicians I quotated and citated in the Literature list at the end of this article and I was careful. And the fraction formulas for K were also found out by mathematicians. This time I only formulated the formulas more accurate. Hopefully I did everything right this time. I do not want to provocate and I do not want to cause trouble. I just want to help and to inform the mathematically interested readers. But I want to get one special answer on one important question. How exactly can I notice if I did everything correct? How can I get secure, that I did not make an original research by entering formulas in Wikipedia articles? Making this difference is sometimes a bit difficult for me. Maybe I should wait an intermediate time until I produce the next formulas in the Wikipedia articles. Perhaps I should wait until the other Wikipedia users will read my formulas accurately and controlled everything and checked if everything is acceptable. Yes, I think that the next time I will enter formulas in Wikipedia articles will be in a few months. But then I definitely start to add good formulas into the Wikipedia articles again. I feel sorry, that I confused you and other Wikipedia users. I just wanted to give my best. I will promise that I avoid this mistake named original research and I focus a lot more on the correctness of the literature. Maybe I should really wait for a longer time with all my productions in the English Wikipedia articles. The users on the German Wikipedia articles could get along with my formulas in an intermediate way. Maybe I should tell you, that my Wikipedia account with the name Reformbenediktiner indeed belongs to the German Wikipedia. I have been working for the German Wikipedia pages for many months and even years. I dealt with many topics in the Wikipedia articles already. But my focus is located on the mathematical Wikipedia articles. Have a nice time!
Lion Emil Jann Fiedler — Preceding unsigned comment added by Reformbenediktiner ( talk • contribs) 14:20, 6 July 2022 (UTC)
Dear A1E6,
Today I have learned that the subject of my PhD thesis, Łukaszyk–Karmowski metric has been proposed for deletion ([ [2]]), as this is allegedly a misconception. Since the publication of this concept by Springer-Verlag in 2004 it has been applied in 132 studies, according to [3]. Thus the argument that it "has been cited a couple of times" is void. In [4] it has been classified as an example of a "diffuse metric".
May I ask you to contribute to the discussion? Guswen ( talk) 11:09, 4 July 2022 (UTC)
Hello! Voting in the 2022 Arbitration Committee elections is now open until 23:59 (UTC) on Monday, 12 December 2022. All eligible users are allowed to vote. Users with alternate accounts may only vote once.
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talk) 01:42, 29 November 2022 (UTC)
I was wondering if there were more resources regarding the functions M(z) and N(z) -- particularly their infinite product form, defining differential equations and power series. I am still learning this subject and this seems very important.
I'm having some difficulty looking up Gauss's original work as well. And I will likely have to translate it.
I also did not see a source for the differential equation statement, so I thought to ask.
Thank you very much for your work. I've seen various edits to that page lately and I always excitedly look to see what's new. It's like a mathematical Christmas everyday. 15:55, 30 November 2022 (UTC)
Your recent editing history at Pi shows that you are currently engaged in an edit war; that means that you are repeatedly changing content back to how you think it should be, when you have seen that other editors disagree. To resolve the content dispute, please do not revert or change the edits of others when you are reverted. Instead of reverting, please use the talk page to work toward making a version that represents consensus among editors. The best practice at this stage is to discuss, not edit-war; read about how this is done. If discussions reach an impasse, you can then post a request for help at a relevant noticeboard or seek dispute resolution. In some cases, you may wish to request temporary page protection.
Being involved in an edit war can result in you being blocked from editing—especially if you violate the three-revert rule, which states that an editor must not perform more than three reverts on a single page within a 24-hour period. Undoing another editor's work—whether in whole or in part, whether involving the same or different material each time—counts as a revert. Also keep in mind that while violating the three-revert rule often leads to a block, you can still be blocked for edit warring—even if you do not violate the three-revert rule—should your behavior indicate that you intend to continue reverting repeatedly. — David Eppstein ( talk) 00:45, 4 December 2022 (UTC)
Hi, I was wondering where you got the expressions for the amplitudes in the Fourier series for the pendulum. The closed-form expression given there in terms of Jacobi elliptic functions appears to have a slight mistake (it should be in terms of sn, not cd) and, after playing around in Matlab, I believe the coefficients of the Fourier series are also slightly off. I have not been able to find evaluations of the necessary integral. However, I'm a physicist doing nonlinear dynamics research and have a need to find accurate, closed-form expressions for these amplitudes. Thanks. 198.90.102.98 ( talk) 23:10, 16 April 2023 (UTC)
Perhaps I should explain something. I really found these formulas out by researching these essays of Hermite, Glashan, Young, Runge, Prasolov, Solovyes and the others. I say the truth and I do not lie. The work Sulla risoluzione delle equazioni del quinto grado really contains the formula on exactly page 258 that gives the elliptic modulus for the nome q. You only have to solve this Bring-Jerrard-equation pattern after the modulus itself to get the value of the modulus. And you really have to only take this one formula to get the modulus and no formula else. I explain it to you exactly the way it is. And the formula of the hyperbolic functions of the fifth parts of the hyperbolic area functions is the direct result of the works of George Paxton Young and Carl Runge. The fifth root formulas do appear in their essays. I just displayed it by not using the fifth roots but by using the hyperbolic function formulas instead of that. And yes, I analyzed exactly their papers so that I could find out the fifth root formulas und it is not that original research to transform the fifth root formulas into hyperbolic formulas. And the identities of the Rogers Ramanujan continued fractions R and S lead to the Jacobi theta function formulas. Maybe I should say a special thing. Yes, some of the formulas do not appear directly in the now named essays. But the identities I used are well known identites that lead to these results in just a few steps. And therefore I really wonder myself that you call this already as a hundred percent original research, which is indeed not. We had this discussion once when we were talking about the Wikipedia article of the elliptic nome q function. It was exactly the same topic. I do not want to attack you. And I do not want to insult you either. I just want to explain you everything accurately. Hopefully I did not go too far with my sentences in this comment. I am not playing a crooked game with you at all. And I am not trying to outsmart you in any aspect. I just wonder myself all the time how you evaluate my work for such a long time in relation to the essay-technical aspect. Again and again I see, gradually more and more with concern and really serious astonishment, that you permanently title and evaluate my entries with the word original research. Do you really only recognize original research in my work? Can you really not see that it was only through the analysis of these works that I came up with the exact formulas I entered in the article Nome (mathematics) and in the article Theta function and in many more articles? I want to make sure you really do not get me wrong. I really do not want to mess with you. It just amazes me all the time how you react to my intensive entries in the Wikipedia articles. Maybe you should read the works and the results of the quintic equation researches of the mathematicians more carefully. Or maybe it simply helps that you can somehow better understand how I come up with these formulas that I have entered through comparatively easy thoughts. Maybe I am wrong myself and maybe it is not that easy to understand, if you did not dive into the material that deep and that long. Maybe I am such a fierce insider in this area that sometimes I do not see whether the other mathematical experts are following me or not. I do not want to show off. I just want to analyze myself in that point. Perhaps I have come to a point where it is a bit difficult for me to explain how I convert a given formula to a closely related formula. But it really is not the bare original research. The essays of the mathematicians were the fundament to work everything out and to write everything down. I really really hope now that I am not making you angry and that I am not driving you into rage. I simply wish that you can at least largely understand how I work and what encourages me to enter the elliptic formulas in this or that Wikipedia article. And I really hope that you still have a positive attitude towards me and that you do not reject me. And to be even more honest, I am extremely sorry that you are so concerned about my behavior and that my postings alarm you that much. I really do not want to play a game with you. I just wish that you understand me. I sincerely ask you to not delete anything. And hopefully we will always get along with each other. In fact, for the most part, I do like you indeed. And for the most part, I remember you positively. Only these warning signs really amaze me again and again in a questionable way. I honestly trust that we will get along well with each other also continuing and help us each other in different mathematical topics and that you will be successful in your studies and analyzes. Have a nice time and have good luck in all your studies! Yours faithfully and sincerely!! Lion Emil Jann Fiedler also known as Reformbenediktiner Reformbenediktiner ( talk) 20:09, 2 June 2023 (UTC)
Greetings! I promised not to touch anything in the articles Theta function and Nome (mathematics) as I can remember clearly. But now I have a question. If I do not touch the section about the Quintic equations but do touch the other sections of these articles, am I allowed to change something? Do you allow me to add a derivation section for the elliptic nome values? And can I do it with the derivation of the theta function values in the Jacobi theta function article too? Or am I going too far again? Please answer me these questions honestly! Yours faithfully and sincerely! Lion Emil Jann Fiedler Reformbenediktiner ( talk) 07:36, 10 June 2023 (UTC)
Alright! Now I created and enlarged even more sections in the article Theta function and I am glad to be successful. Gradually this article is taking very clearly the form which it is intended to have. Already at this moment in my eyes this article looks excellent. I should say one more very important thing. In the last few days I have also added more references to the article so that the reader knows more about my sources of information. In the meantime, it has become an intensive routine for me that I consistently look out for suitable supporting literature sources and individual reference sources and search massively. But now I have a question to you. Do you think this article is still well structured and clear in the composition? And if yes, Do you think it is appropriate that I also describe the Pochhammer products and the partition number sequences in this article? Please answer me these questions in an honest way as always and tell me how I should possibly optimize the outline structure! I want to get secure that this article acquires excellent status or anyhow very welcome status. Please help me by giving me an accurate answer and by saying me in a righteous way what I have to do exactly! Yours faithfully and sincerely!! Lion Emil Jann Fiedler from Bamberg also known as Reformbenediktiner Reformbenediktiner ( talk) 08:24, 25 June 2023 (UTC)
Hello! Voting in the 2023 Arbitration Committee elections is now open until 23:59 (UTC) on Monday, 11 December 2023. All eligible users are allowed to vote. Users with alternate accounts may only vote once.
The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.
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MediaWiki message delivery (
talk) 00:52, 28 November 2023 (UTC)
![]() |
Hi A1E6! Thanks for contributing to Wikipedia. We hope to see you there!
Delivered by HostBot on behalf of the Teahouse hosts 15:00, 14 February 2019 (UTC) |
Just a heads up, but the use of \operatorname
for functions like etc. is generally inappropriate. –
Deacon Vorbis (
carbon •
videos) 23:55, 24 February 2019 (UTC)
\operatorname
without making the f set in roman. Plus, doing it like this, the spacing is now wrong on the left instead. Also, testing this on a normal LaTeX distribution, using \opertorname
doesn't produce the same effect. So this is just exploiting a weird quirk in the Texvc engine that Mediawiki uses in order to produce spacing that you happen to think is slightly better, but only for greek-letter function names. That's not a good enough reason to make such changes. Hello, I'm
DVdm. I noticed that you made a change to an article,
Generalized continued fraction, but you didn't provide a source. I’ve removed it for now, but if you’d like to
include a citation to a reliable source and re-add it, please do so! If you think I made a mistake, or if you have any questions, you can leave me a message on
my talk page. Thanks.
DVdm (
talk) 18:37, 13 July 2020 (UTC)
You reverted my change of 2020-09-03 on 2020-09-05. I believe it was valid. I now also have several other changes to the Logarithmic Forms that I believe make them valid everywhere for principal values of the functions, not just on the complement of the branch cuts. I am opening a section called Complex logarithmic forms in the Talk for the article where we can discuss all this if you are interested. Rickhev1 ( talk) 18:29, 8 September 2020 (UTC)
Please do not add or change content, as you did at
Sine, without citing a
reliable source. Please review the guidelines at
Wikipedia:Citing sources and take this opportunity to add references to the article. Thank you. -
DVdm (
talk) 15:49, 1 March 2021 (UTC)
Note, see also wp:NOR and wp:CALC. Cheers. - DVdm ( talk) 15:50, 1 March 2021 (UTC)
Thank you. For many years I've been thinking that I am (almost) alone. Almost always. Guswen ( talk) 17:46, 23 November 2021 (UTC)
Dear A1E6,
I have been attempting to introduce a simple and straightforward simplification of the black hole surface gravity. Schwarzschild radius is . Hence . Thus a black hole surface gravity is . This form is simpler as it depends only on D, but the "resistance of the matter" is similar to that that we experienced in our struggle to maintain the unit n-ball picture in the Volume of an n-ball last November [1]. I am not an experienced Wikipedian, so I simply don't know what should I do. I will appreciate, and in advance I thank you for an advice. Guswen ( talk) 08:52, 8 March 2022 (UTC)
Hi, you have improved the Lemniscate elliptic functions page a whole lot and you have my gratitude for it, I don't understand much but there is aformula that catched my attention which you added in February later you cited a reference which contains the first equality but I think it doesn't contains the second so I would like to ask you how is done (or a reference), thanks in advance and best regards Dabed ( talk) 21:30, 11 June 2022 (UTC)
Dear A1E6,
My recurrence relation without was eventually published [1], so I have added it for this article. Maybe some other researcher discovers, on this basis, fractional forms of this sequence, for example (?). However, my edit was again reverted by User:David_Eppstein as "Undo the return of the ridiculous negative-dimensional crankery". Why? Guswen ( talk) 13:44, 26 June 2022 (UTC)
References
{{
citation}}
: CS1 maint: unflagged free DOI (
link)
Now I provided even many essay sources that contain the hyperbolic lemniscate cotangent. I know the page Bring radical#The Hermite–Kronecker–Brioschi characterization already and I researched all the formulas I entered into the nome article very accurate. I even derived and established these formulas very detailled. Therefore I hope that you will not erase these very important formulas ever again. These formulas are exactly correct and they indeed belong to the nome article. So leave these formulas inside this Wikipedia article! The sources support the formulas. And please do me even a further favour! Please read the German Wikipedia article https://de.wikipedia.org/wiki/Bringsches_Radikal very carefully! In this article the Bring radical is defined with a positive first derivative and therefore negative to the definition some other sources make. But all these formulas in that article according to the definition made in this article are correct. And this German article with the name "Bringsches Radikal" describes everything even extremely accurate. There are also all these essays that bring forth all these formulas that are standing in this German Wikipedia article. Especially the essay of Charles Hermite and the essays of the mathematicians Young and Runge and all these authors of mathematical essays explain the thing with the modulus and the fifth root radical combinations of the elliptic key and the transformation to the Rogers-Ramanujan continued fractions and everything else very extensively. And all of these definitions of the hyperbolic lemniscate functions I gave in the nome article can also be found in many sources. For this purpose please read the German Wikipedia article Hyperbolisch lemniskatischer Sinus on that page: https://de.wikipedia.org/wiki/Hyperbolisch_lemniskatischer_Sinus I wish you the best understanding and have a nice time!
Lion Emil Jann Fiedler also known as "Reformbenediktiner" Reformbenediktiner ( talk) 08:34, 4 July 2022 (UTC)
Alright! I will be much more careful from now on. And I watched out, that I do not enter results of original research. I really watched out, so that I do not produce any complications. I made some entries into the article Jacobi elliptic functions. This time I behaved the right way. I did not make original research but I really used the Literature. The sequence and its correlations were found out already by many mathematicians I quotated and citated in the Literature list at the end of this article and I was careful. And the fraction formulas for K were also found out by mathematicians. This time I only formulated the formulas more accurate. Hopefully I did everything right this time. I do not want to provocate and I do not want to cause trouble. I just want to help and to inform the mathematically interested readers. But I want to get one special answer on one important question. How exactly can I notice if I did everything correct? How can I get secure, that I did not make an original research by entering formulas in Wikipedia articles? Making this difference is sometimes a bit difficult for me. Maybe I should wait an intermediate time until I produce the next formulas in the Wikipedia articles. Perhaps I should wait until the other Wikipedia users will read my formulas accurately and controlled everything and checked if everything is acceptable. Yes, I think that the next time I will enter formulas in Wikipedia articles will be in a few months. But then I definitely start to add good formulas into the Wikipedia articles again. I feel sorry, that I confused you and other Wikipedia users. I just wanted to give my best. I will promise that I avoid this mistake named original research and I focus a lot more on the correctness of the literature. Maybe I should really wait for a longer time with all my productions in the English Wikipedia articles. The users on the German Wikipedia articles could get along with my formulas in an intermediate way. Maybe I should tell you, that my Wikipedia account with the name Reformbenediktiner indeed belongs to the German Wikipedia. I have been working for the German Wikipedia pages for many months and even years. I dealt with many topics in the Wikipedia articles already. But my focus is located on the mathematical Wikipedia articles. Have a nice time!
Lion Emil Jann Fiedler — Preceding unsigned comment added by Reformbenediktiner ( talk • contribs) 14:20, 6 July 2022 (UTC)
Dear A1E6,
Today I have learned that the subject of my PhD thesis, Łukaszyk–Karmowski metric has been proposed for deletion ([ [2]]), as this is allegedly a misconception. Since the publication of this concept by Springer-Verlag in 2004 it has been applied in 132 studies, according to [3]. Thus the argument that it "has been cited a couple of times" is void. In [4] it has been classified as an example of a "diffuse metric".
May I ask you to contribute to the discussion? Guswen ( talk) 11:09, 4 July 2022 (UTC)
Hello! Voting in the 2022 Arbitration Committee elections is now open until 23:59 (UTC) on Monday, 12 December 2022. All eligible users are allowed to vote. Users with alternate accounts may only vote once.
The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.
If you wish to participate in the 2022 election, please review
the candidates and submit your choices on the
voting page. If you no longer wish to receive these messages, you may add {{
NoACEMM}}
to your user talk page.
MediaWiki message delivery (
talk) 01:42, 29 November 2022 (UTC)
I was wondering if there were more resources regarding the functions M(z) and N(z) -- particularly their infinite product form, defining differential equations and power series. I am still learning this subject and this seems very important.
I'm having some difficulty looking up Gauss's original work as well. And I will likely have to translate it.
I also did not see a source for the differential equation statement, so I thought to ask.
Thank you very much for your work. I've seen various edits to that page lately and I always excitedly look to see what's new. It's like a mathematical Christmas everyday. 15:55, 30 November 2022 (UTC)
Your recent editing history at Pi shows that you are currently engaged in an edit war; that means that you are repeatedly changing content back to how you think it should be, when you have seen that other editors disagree. To resolve the content dispute, please do not revert or change the edits of others when you are reverted. Instead of reverting, please use the talk page to work toward making a version that represents consensus among editors. The best practice at this stage is to discuss, not edit-war; read about how this is done. If discussions reach an impasse, you can then post a request for help at a relevant noticeboard or seek dispute resolution. In some cases, you may wish to request temporary page protection.
Being involved in an edit war can result in you being blocked from editing—especially if you violate the three-revert rule, which states that an editor must not perform more than three reverts on a single page within a 24-hour period. Undoing another editor's work—whether in whole or in part, whether involving the same or different material each time—counts as a revert. Also keep in mind that while violating the three-revert rule often leads to a block, you can still be blocked for edit warring—even if you do not violate the three-revert rule—should your behavior indicate that you intend to continue reverting repeatedly. — David Eppstein ( talk) 00:45, 4 December 2022 (UTC)
Hi, I was wondering where you got the expressions for the amplitudes in the Fourier series for the pendulum. The closed-form expression given there in terms of Jacobi elliptic functions appears to have a slight mistake (it should be in terms of sn, not cd) and, after playing around in Matlab, I believe the coefficients of the Fourier series are also slightly off. I have not been able to find evaluations of the necessary integral. However, I'm a physicist doing nonlinear dynamics research and have a need to find accurate, closed-form expressions for these amplitudes. Thanks. 198.90.102.98 ( talk) 23:10, 16 April 2023 (UTC)
Perhaps I should explain something. I really found these formulas out by researching these essays of Hermite, Glashan, Young, Runge, Prasolov, Solovyes and the others. I say the truth and I do not lie. The work Sulla risoluzione delle equazioni del quinto grado really contains the formula on exactly page 258 that gives the elliptic modulus for the nome q. You only have to solve this Bring-Jerrard-equation pattern after the modulus itself to get the value of the modulus. And you really have to only take this one formula to get the modulus and no formula else. I explain it to you exactly the way it is. And the formula of the hyperbolic functions of the fifth parts of the hyperbolic area functions is the direct result of the works of George Paxton Young and Carl Runge. The fifth root formulas do appear in their essays. I just displayed it by not using the fifth roots but by using the hyperbolic function formulas instead of that. And yes, I analyzed exactly their papers so that I could find out the fifth root formulas und it is not that original research to transform the fifth root formulas into hyperbolic formulas. And the identities of the Rogers Ramanujan continued fractions R and S lead to the Jacobi theta function formulas. Maybe I should say a special thing. Yes, some of the formulas do not appear directly in the now named essays. But the identities I used are well known identites that lead to these results in just a few steps. And therefore I really wonder myself that you call this already as a hundred percent original research, which is indeed not. We had this discussion once when we were talking about the Wikipedia article of the elliptic nome q function. It was exactly the same topic. I do not want to attack you. And I do not want to insult you either. I just want to explain you everything accurately. Hopefully I did not go too far with my sentences in this comment. I am not playing a crooked game with you at all. And I am not trying to outsmart you in any aspect. I just wonder myself all the time how you evaluate my work for such a long time in relation to the essay-technical aspect. Again and again I see, gradually more and more with concern and really serious astonishment, that you permanently title and evaluate my entries with the word original research. Do you really only recognize original research in my work? Can you really not see that it was only through the analysis of these works that I came up with the exact formulas I entered in the article Nome (mathematics) and in the article Theta function and in many more articles? I want to make sure you really do not get me wrong. I really do not want to mess with you. It just amazes me all the time how you react to my intensive entries in the Wikipedia articles. Maybe you should read the works and the results of the quintic equation researches of the mathematicians more carefully. Or maybe it simply helps that you can somehow better understand how I come up with these formulas that I have entered through comparatively easy thoughts. Maybe I am wrong myself and maybe it is not that easy to understand, if you did not dive into the material that deep and that long. Maybe I am such a fierce insider in this area that sometimes I do not see whether the other mathematical experts are following me or not. I do not want to show off. I just want to analyze myself in that point. Perhaps I have come to a point where it is a bit difficult for me to explain how I convert a given formula to a closely related formula. But it really is not the bare original research. The essays of the mathematicians were the fundament to work everything out and to write everything down. I really really hope now that I am not making you angry and that I am not driving you into rage. I simply wish that you can at least largely understand how I work and what encourages me to enter the elliptic formulas in this or that Wikipedia article. And I really hope that you still have a positive attitude towards me and that you do not reject me. And to be even more honest, I am extremely sorry that you are so concerned about my behavior and that my postings alarm you that much. I really do not want to play a game with you. I just wish that you understand me. I sincerely ask you to not delete anything. And hopefully we will always get along with each other. In fact, for the most part, I do like you indeed. And for the most part, I remember you positively. Only these warning signs really amaze me again and again in a questionable way. I honestly trust that we will get along well with each other also continuing and help us each other in different mathematical topics and that you will be successful in your studies and analyzes. Have a nice time and have good luck in all your studies! Yours faithfully and sincerely!! Lion Emil Jann Fiedler also known as Reformbenediktiner Reformbenediktiner ( talk) 20:09, 2 June 2023 (UTC)
Greetings! I promised not to touch anything in the articles Theta function and Nome (mathematics) as I can remember clearly. But now I have a question. If I do not touch the section about the Quintic equations but do touch the other sections of these articles, am I allowed to change something? Do you allow me to add a derivation section for the elliptic nome values? And can I do it with the derivation of the theta function values in the Jacobi theta function article too? Or am I going too far again? Please answer me these questions honestly! Yours faithfully and sincerely! Lion Emil Jann Fiedler Reformbenediktiner ( talk) 07:36, 10 June 2023 (UTC)
Alright! Now I created and enlarged even more sections in the article Theta function and I am glad to be successful. Gradually this article is taking very clearly the form which it is intended to have. Already at this moment in my eyes this article looks excellent. I should say one more very important thing. In the last few days I have also added more references to the article so that the reader knows more about my sources of information. In the meantime, it has become an intensive routine for me that I consistently look out for suitable supporting literature sources and individual reference sources and search massively. But now I have a question to you. Do you think this article is still well structured and clear in the composition? And if yes, Do you think it is appropriate that I also describe the Pochhammer products and the partition number sequences in this article? Please answer me these questions in an honest way as always and tell me how I should possibly optimize the outline structure! I want to get secure that this article acquires excellent status or anyhow very welcome status. Please help me by giving me an accurate answer and by saying me in a righteous way what I have to do exactly! Yours faithfully and sincerely!! Lion Emil Jann Fiedler from Bamberg also known as Reformbenediktiner Reformbenediktiner ( talk) 08:24, 25 June 2023 (UTC)
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