tag:blogger.com,1999:blog-22973357.post6521957549314610986..comments2021-06-20T17:43:21.836-04:00Comments on Sabine Hossenfelder: Backreaction: Abramowitz/Stegun goes onlineSabine Hossenfelderhttp://www.blogger.com/profile/06151209308084588985noreply@blogger.comBlogger22125tag:blogger.com,1999:blog-22973357.post-68709601048300617222010-05-19T12:44:30.957-04:002010-05-19T12:44:30.957-04:00Hi Luke,
Maple/Mathematica will sometimes just te...Hi Luke,<br /><br />Maple/Mathematica will sometimes just tell you an integral doesn't converge or simply spit out the same integral as result, neither of which is helpful. I'd sometimes actually need to know for which cases it does when converge and rather than trusting Maple that it doesn't know an integral I'd rather look it up myself (doesn't happen too often though). Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-85593994867064926112010-05-19T06:51:46.349-04:002010-05-19T06:51:46.349-04:00Hi Stefan,
Thanks once again for being as you so ...Hi Stefan,<br /><br />Thanks once again for being as you so often are the heralder of good news. However, self admittedly this wonâ€™t be something I would find reason to use much, yet it certainly expands further what is available to anyone having access to the web. It has me to wonder if there ever will come a day where a physics researcher will be hired where in the section of their CV referringPhil Warnellhttps://www.blogger.com/profile/15671311338712852659noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-13033174045336609882010-05-19T06:47:53.328-04:002010-05-19T06:47:53.328-04:00This comment has been removed by the author.Phil Warnellhttps://www.blogger.com/profile/15671311338712852659noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-77683966480753731922010-05-19T06:43:04.284-04:002010-05-19T06:43:04.284-04:00This comment has been removed by the author.Phil Warnellhttps://www.blogger.com/profile/15671311338712852659noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-34659178524615125812010-05-18T23:46:03.993-04:002010-05-18T23:46:03.993-04:00Thanks Stefan,
I added it to my Favs. (Now I have...Thanks Stefan,<br /><br />I added it to my Favs. (Now I have 4085 Favs in 50 root folders and 667 sub-folders, lol.)<br /><br />Many year ago, I created an equation for a point in 3D, F(x,y,z), such that it would be zero everywhere in space, except for a specified (x1, y1, z1) where F(x1,y1,z1) would have the value of 1. I used all natural, HS-level math functions to do it. I wonder if there&#Williamhttps://www.blogger.com/profile/15991841830350137397noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-46569084043643393062010-05-18T19:51:47.400-04:002010-05-18T19:51:47.400-04:00Flash drives have an unexpected benefit: Homeland...Flash drives have an unexpected benefit: Homeland Severity seize and copy them. You can vote 16 GB of "no" every time you pass through a US airport. A necklace of high capacity flash drives brimming with gibberish is the right thing to do.<br /><br />Intelligence requires constant preening, but stupidity is an engine of its own creation. Gorge the congenitally inconsequential.Uncle Alhttps://www.blogger.com/profile/05056804084187606211noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-77088686055502246902010-05-18T18:52:31.924-04:002010-05-18T18:52:31.924-04:00@Stefan:
http://integrals.wolfram.com is essential...@Stefan:<br />http://integrals.wolfram.com is essentially a web interface to Mathematica's Integrate command.Igor Khavkinehttps://www.blogger.com/profile/03255652837539396267noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-36965126060576304642010-05-18T18:48:04.799-04:002010-05-18T18:48:04.799-04:00Bee, yes my last post was a two part answer.
The ...Bee, yes my last post was a two part answer.<br /><br />The Wolfram site is great if you know the class of functions you are expected to get. Then the Integral Representations and Integration categories will have lots of potentially useful formulas.<br /><br />The Russian books of integrals are certainly available online. However the method of obtaining them may offend some people's Igor Khavkinehttps://www.blogger.com/profile/03255652837539396267noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-83984991982125411052010-05-18T18:29:19.758-04:002010-05-18T18:29:19.758-04:00Stefan,
I've used Wolfram Integrator. It work...Stefan,<br /><br />I've used Wolfram Integrator. It works quite nicely for what I've needed to do. I haven't tried anything too complicated however but it definitely is able to handle most integrals I plug into it.Lukehttps://www.blogger.com/profile/16737623629003356329noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-26070501314323001802010-05-18T18:25:24.662-04:002010-05-18T18:25:24.662-04:00Bee,
No idea. I'd imagine the demand is simpl...Bee,<br /><br />No idea. I'd imagine the demand is simply not that great. Out of curiosity, what parts of the tables do you need? As in, why doesn't Maple/Mathematica not sate your need?Lukehttps://www.blogger.com/profile/16737623629003356329noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-77171012033877302692010-05-18T18:24:42.393-04:002010-05-18T18:24:42.393-04:00WolframAlpha relies, as far as functions and their...WolframAlpha relies, as far as functions and their properties and relations are concerned, on <a href="http://mathworld.wolfram.com/" rel="nofollow">MathWorld</a> and <a href="http://functions.wolfram.com/" rel="nofollow">functions.wolfram.com</a>. MathWorld, at least, usually refers to the Abramowitz/Stegun, and my impression is that the DLMF is more comprehensive than the Wolfram collection, stefanhttps://www.blogger.com/profile/09495628046446378453noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-20585124761815644032010-05-18T18:04:42.475-04:002010-05-18T18:04:42.475-04:00Sure, but it's so cumbersome. Why not just hav...Sure, but it's so cumbersome. Why not just have a website online, if necessary one that charges a fee?Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-91365060499673657882010-05-18T18:01:08.592-04:002010-05-18T18:01:08.592-04:00Bee,
Find a computer with a CD drive and rip it t...Bee,<br /><br />Find a computer with a CD drive and rip it to a flash drive? That'd work I'd imagine.Lukehttps://www.blogger.com/profile/16737623629003356329noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-87008014934261669772010-05-18T17:28:56.795-04:002010-05-18T17:28:56.795-04:00Right, Gradshteyn, that's the book that I have...Right, Gradshteyn, that's the book that I have (two volumes actually)! So I'll have to buy a CD... pooh. And my laptop doesn't have a CDrom, so what's the point?Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-10027693986679467232010-05-18T16:44:14.148-04:002010-05-18T16:44:14.148-04:00Hi Bee,
The famous book: 'Table of Integrals, ...Hi Bee,<br />The famous book: 'Table of Integrals, Series, and Products' by Gradshteyn and Ryzhik can be bought in CD format. You could take it with you or copy it on your notebook.<br /><br />MarcoMarcohttps://www.blogger.com/profile/10242179956321145136noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-45424682302665358442010-05-18T10:43:08.228-04:002010-05-18T10:43:08.228-04:00Igor: Was that a reply to my question? Dunno, I...Igor: Was that a reply to my question? Dunno, I've turned Wolfram upside down (granted, that was 2 years back or so), but really couldn't find things like integral over products of incomplete gamma functions or exp with a function in the argument etc. I mean, I have two books with integral tables (yes, it's some Russians, but I forget the names, it's the standard tables you find Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-25609133144711643242010-05-18T09:58:48.131-04:002010-05-18T09:58:48.131-04:00Hi Stefan,
great news!
Best, KayHi Stefan,<br /><br />great news!<br /><br />Best, KayKay zum Feldehttps://www.blogger.com/profile/04233793196547147876noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-66541127370958835762010-05-18T09:27:14.604-04:002010-05-18T09:27:14.604-04:00http://functions.wolfram.com/
If you can read Rus...http://functions.wolfram.com/<br /><br />If you can read Russian (well, these kinds of books don't actually have a lot of words in them), the magical names Prudnikov, Brychkov, and Marichev will help.Igor Khavkinehttps://www.blogger.com/profile/03255652837539396267noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-8788467563455686152010-05-18T08:53:27.479-04:002010-05-18T08:53:27.479-04:00Thanks for letting us know!
Question: I've tr...Thanks for letting us know!<br /><br />Question: I've tried at some point to find online integral tables, but haven't found much. Does anybody know a good resource? I know Maple/Mathematica can do a lot of integrals even analytically, but the result isn't always useful and sometimes I need the fine print. Best,<br /><br />B.Sabine Hossenfelderhttps://www.blogger.com/profile/06151209308084588985noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-88267712604742905302010-05-18T03:26:45.648-04:002010-05-18T03:26:45.648-04:00Well, FINALLY! The completion of the DLMF has been...Well, FINALLY! The completion of the DLMF has been "around the corner" for at least five years. This should have been bigger news. Or not, judging from the muted reactions around me... :-) <br /><br />BTW, I believe the DLMF is not an update of A&S, but a complete rewrite.Igor Khavkinehttps://www.blogger.com/profile/03255652837539396267noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-40611014713375251712010-05-17T20:08:52.305-04:002010-05-17T20:08:52.305-04:00@Bryan
I think you meant:
http://www.wolframalpha....@Bryan<br />I think you meant:<br />http://www.wolframalpha.com/input/?i=jacobi+elliptic+function<br /><br />The links then take you through to either the mathematica documentation, the functions site or mathworld. The functions site is probably the most useful and contains a heap of identities and relations for the functions. It's been my online replacement for A/S for the last few years.Simonhttps://www.blogger.com/profile/05928042944229954890noreply@blogger.comtag:blogger.com,1999:blog-22973357.post-43124079605484401382010-05-17T18:39:11.134-04:002010-05-17T18:39:11.134-04:00Or, you could search WolframAlpha. You can find th...Or, you could search WolframAlpha. You can find the Jacobi elliptic equations here: http://www.wolframalpha.com/input/?i=schrodinger+wave+equation<br /><br />Clicking any one takes you to a page where you can read about it and plot it.Bryanhttps://www.blogger.com/profile/07379669532781325751noreply@blogger.com