User talk:PAR/archive 2Statistical mechanics, thermodyanmics and all the related goodiesHey there! I thought you deserve a barnstar for your extensive contributions to articles on Wikipedia, particularly those related to statistical mechanics, thermodynamics and probability theory. May it be a constant reminder that your work and efforts are appreciated here! --HappyCamper 03:22, 24 November 2005 (UTC) Hey there! - Thanks, I appreciate that. PAR 03:44, 24 November 2005 (UTC) Just thought that I's say that I like the work on the law of thermodynamics too ... you might want to bold the Third law of thermodynamics statement also though (for continuity between the articles). Sincerely, JDR 22:16, 29 November 2005 (UTC) Hot & Cold Photons?I've left some comment on the thermodynamic evolution "Talk Page". Let me know if you have suggestions. Thanks:--Wavesmikey 04:49, 26 November 2005 (UTC) GBthumbI have replied on my talk page. -- RHaworth 18:59, 27 November 2005 (UTC)
Best edit summary ever! ;-) --Calair 06:00, 30 November 2005 (UTC) Can you help out with the article Principles of energetics, which has lots of thermodynamic content, but from the point of view of ecology? linas 16:41, 4 December 2005 (UTC) PolylogarithmCan you take a look at my question at Wikipedia:Reference_desk/Mathematics, about a function that is related to the polylog, but is a generalization of some sort I can't identify. Perhaps it may ring a bell? linas 16:41, 4 December 2005 (UTC) ThermodynamicsI have begun to work on the thermodynamics page as it needs serious edits. Please do not revert my changes without discussing it with me first. I requested this in the discussion page for the article as well. Lagrangian CooperationRather than berate me on a WT:AUM, why don't you tell me exactly what is wrong. I'll be happy to help where I can. -- Netoholic @ 16:24, 19 December 2005 (UTC)
Well, I fixed up Template:Thermodynamic equations preemptively after looking at your post. I replaced qif and it seems to be working well. As for Template:GBNewYorkState, it's an interesting idea, but doesn't seem like it'll be a practical method for most users nor does it conform to WP:AUM as is. -- Netoholic @ 22:27, 19 December 2005 (UTC)
Hi PAR, I was wondering if you'd be in a position to help fix some apparent errors in the article on Dirac. See the list of errors identified recently by Nature: Wikipedia:External peer review/Nature December 2005/Errors#Paul Dirac. Thanks! --MarkSweep (call me collect) 21:45, 22 December 2005 (UTC) Hi MarkSweep - I'm not so good with the history of physics so I will concentrate on the technical parts first. PAR 23:43, 22 December 2005 (UTC)
Classical field theoryYour additions to the SR page are welcome, but I think some of them are really applications of SR in describing the universe. I think this would fit better in the Classical field theory page. What do you think? Masud 15:22, 24 December 2005 (UTC)
Ship tableI've come across Template:Ship table before and have been working on a replacement at Template:Infobox Ship. This replacement does not use meta-templates and also simplifies the parameter names. I've converted a couple of articles to use it, so maybe you could take a look and make some final suggestions. If it looks fine, I can run a bot process which will convert all the ship articles. -- Netoholic @ 18:48, 29 December 2005 (UTC)
I removed the Edit link because it is misleading to novice editors. They will see it and believe they are editing the content of the page's infobox, but instead are taken to the template source. For advanced users, they are all aware that a link to the template exists at the bottom of the article's Edit screen. It's basically of no benefit either way. -- Netoholic @ 01:15, 31 December 2005 (UTC) Thanks for your email. I've had a run-in with Netoholic over this one, and I was not pleased that the user went ahead and wrote things without even having the grace to contact me. Let me give you a bit of background on why the navy blue colour for the ship table is there. The Wikiproject: Ships is one of the oldest and largest on Wikipedia. The standard table design was developed for that wikiproject back in the days before wiki table markup existed, meaning that we had to use HTML table markup back then (for examples look at some of the USN carrier or battleship articles). The standard colour was decided as a dark blue and it has not altered in several years. We have gone through using wiki markup for tables, a hacked together version of my template using very clumsy syntax, changing that to use QIF and then changing it again to using the CSS trick. Through all of those iterations the blue has remained. It's not a Union vs Confederacy thing, it's just inertia and convenience and wikiproject choice. I suggest that you go and join that project and post about the colour scheme for the standard table sinec that's where you'll be able to get input from the people most interested in the subject. Personally I'm not that keen on changing things since I think using a dark/navy blue is very suggestive of the ocean, but my opinion is far from the only one that matters. David Newton 22:21, 20 January 2006 (UTC)
Yes, I ran into a few cases where there was information in a table that was not contained in the template, and it was a one-time situation, so I added the "Note1" field. I called it Note1 just in case a "Note2" field was needed, but thankfully, thats not the case. With regard to color, I put in a petition at the project page. PAR 21:02, 24 January 2006 (UTC) notation changes at DFT?Hi PAR, I thought everyone had agreed to change (N,j,k) to (N,k,n) in Discrete Fourier transform and friends. Why did you change it to (N,m,n) instead? Like it or not, k is much more common for the output index in the DFT. (Analogously, k is often used as the momentum-space variable in physics for spatial Fourier transforms.) Please change it to what everyone agreed upon, thanks. —Steven G. Johnson 01:14, 31 December 2005 (UTC)
removal of diagramHello Par - I think it was a mistake to remove the tetrahedral group cycle graph (not that I am biased...). Here's why. Wikipedia math entries should be ideally accesible to anyone, not just the already math-literate or math-educated. We don't need it to become another Mathworld clone. So I made that diagram with the specific intent of having the concept of a group cycle graph, along with other concepts such as symmetry group/rotation group etc, be presented visually. Many people learn best visually, and to be able to see how doing three 120degree rotations brings you back to the original position will help someone understand what a group cycle means, in a way that (a2b)2=e might not. As for not showing all features of a graph cycle (such as labelling e), well, that can be easily addressed. What do you say? Debivort 03:17, 8 January 2006 (UTC) thanks for the thermoJust writing to thank you for the thermo content you've contributed to Wikipedia, especially those great templates. Please have a look at the diagram and content I added to the enthalpy page about how it's applied to open systems. Flying Jazz 08:17, 10 January 2006 (UTC) Image Tagging Image:Mae West Signature.png
Thanks for uploading Image:Mae West Signature.png. I notice the image page currently doesn't specify who created the image, so the copyright status is therefore unclear. If you have not created the image yourself then you need to argue that we have the right to use the image on Wikipedia (see copyright tagging below). If you have not created the image yourself then you should also specify where you found it, i.e., in most cases link to the website where you got it, and the terms of use for content from that page. If the image also doesn't have a copyright tag then you must also add one. If you created/took the picture then you can use {{GFDL}} to release it under the GFDL. If you believe the image qualifies as fair use, please read fair use, and then use a tag such as {{Non-free fair use in|article name}} or one of the other tags listed at Wikipedia:Image copyright tags#Fair_use. See Wikipedia:Image copyright tags for the full list of copyright tags that you can use. If you have uploaded other images, please check that you have specified their source and copyright tagged them, too. You can find a list of image pages you have edited by clicking on the "my contributions" link (it is located at the very top of any Wikipedia page when you are logged in), and then selecting "Image" from the dropdown box. Note that any unsourced and untagged images will be deleted one week after they have been uploaded, as described on criteria for speedy deletion. Thank you. Netoholic @ 05:29, 18 January 2006 (UTC) CIE 1931 color spaceI was wondering why you added the huge "STOP STOP STOP" notice to the existing comment pointing out that Grassmann is correctly spelled with two n's. I don't see any recent edits that mis-corrected it. --Macrakis 00:00, 20 January 2006 (UTC)
Impedance Matching.THanks for including the piece on mechanical matching to the article. Is funny because I was only just recently thinking about this concept and how useful it might be in analysing the dynamics of (rigid) bodies and thinking about momentum, KE etc. I have a gut feeling that there may be more to extract from similar analogies, but I haven't thought them out yet. Any way, you seem to be on the same 'wavelength' so I'll mention any ideas I have to you (as soon as I have them)--Light current 03:20, 24 January 2006 (UTC)
I agree!! I shall have to reflect more on these things! --Light current 03:37, 24 January 2006 (UTC) Regarding Image:Masuda1.pngHi PAR. I was looking at Standard test image and I was wondering who has used Image:Masuda1.png as a test image. Perhaps you could add that information somewhere in the article? I've never seen it before, so I'm curious. Thanks! ~MDD4696 00:38, 26 January 2006 (UTC)
Orientational analysisHi PAR, I looked over the section you added to dimensional analysis on orientational analysis, and like much of what I see. However, I do have some reservations about some of it. I don't care for the very first sentence "A problem with Huntley's addition is that it only works when the physical problem is expressed as a scalar, vector, or tensor equation." Orientational analysis works because the equations of physics are tensor eqns., and all physically meaningful equations are tensor equations (includes vectors and scalars). The problem with the sentence is that it seems to imply that orientational analysis works when Huntley's does not, i.e. when the underlying equation is not scalar, vector or tensor. That is not the case. It is important to emphasize that Huntley's addition as used in all of his cases _never_ makes use of a cross-product sort of rule (Lz=LxLy). The product LxLy =LyLx in his system is irreducible. He claims he makes use of the symmetry of the situation to determine how to write the Huntley symbols for each assumed physical quantity and exactly how he does this would have to be carefully described, were his analysis to be retained. The write-up as it stands does not include the "symmetry problem" of his method, as I call it.
The absence of a rule like LxLy = Lz gives problems in another way too. Look at the torque eqn. at the end of the preceding section: "z-component of torque is dimensionally equal to τz = MLxLy / T2." The subscript z used on torque would seem to imply that Lz = Lx Ly or maybe Lz^2=Lx Ly or what? Very confusing. Orientational analysis is unambiguous here. 1z=1x1y. No problemo.
Under the dot and cross product equations "Since only parallel orientations yield a non-zero dot product..." is not quite correct. The vectors may be non-parallel. It is rather just that they can't be perpendicular.
Your treatment seems to imply that Lz=L 1z. Where the symbol Lz belongs to Huntley's addition and 1z to orientational analysis. This mixing of symbols leads to contradictions. Orientational analysis is not applied after a Huntley's analysis, but rather after Dimensional analysis. In orientational analysis the orientational and dimensional symbols are never mixed. Two separate sets of equations are set up: first the conventional dimensional analysis, then the (independent) orientational equations set up and solved separately. To set them up requires that the results from dimensional analysis be in normal form, which is not mentioned in the article as it stands.
It is worthwhile to look at huntley's very first example on p 85 of the Dover addition, which I assume you are following--the nicholson hydrometer vibration. It is not explained there how he got the dimension formulas for cross section of the neck, nor of the density of the liquid, nor for that matter, of gravity. I could argue, using his "symmetry" method, any of a number of reasonable sets. In particular he uses for the area of the neck of the hydrometer, which is bobbing up and down in the z plane, as LxLy. Looks reasonable until you carefully read the case of the moving body in a liquid problem on p 80 -81 where he takes the area (moving in the x-direction) as Lx Ly^.5 Lz^.5. So an area moving through a fluid in the z direction would be Lz Ly^.5 Lx^.5. !!! Similarly, in the same example he uses density as M L^-1 Ly^-1 Lz^-1 rather than Lx^-1 Ly^-1 Lz^-1 (as he does in Ex 3) or even L^-3. His "symmetrization" procedure appears to me to be arbitrary and unpredictable. When I, a mere mortal, try to use his symmetrization procedure on a problem he describes, without looking at his presentation, I almost always get something different. Try it yourself, to see what I mean. I have a very strong impression that he knows the answer to each of the examples, and tries several sets of symmetrization choices, then picks the set that gives him the answer he wants. Tough, I know. But I know for fact that others have the same exact reservation.
A strong virtue of orientational analysis, I think, is that they are always crystal clear. Density has orientational symbol of the identity element, always. It doesn't change from problem to problem. Areas always have the straightforward orientational symbol that corresponds to the normal direction. Always. Scalars, such as work, always have the identity element for its orientational symbol. Never varies, no matter how the work was done, and in what directions the forces are applied, nor does it change when the symmetry of the body on which the forces act change. Never.
The last sentence "This method may be extended to higher dimensional spaces for a suitably generalized cross product." is a mystery to me and should be omitted unless you have some reference...
In summary, I believe reference to Huntley's addition should be omitted everywhere, and the orientational analysis section extended a little to show how the procedure works along the lines I give (including normalization, and the reason it is required) and how two separate requirements on physical equations yield two sets of equations, both of which must be satisfied for the starting physical equation to be correct. DonSiano 22:14, 26 January 2006 (UTC)
Hi PAR - I think the article is moving in the right direction, and I like all the changes you have made on the last rev. I need to learn more about how to use wiki math notation. The article still needs work, and I am still pretty uncomfortable about spending so much of it on Huntley's addition. Certainly it is ok to describe it, but the two worked examples seems too much to me to give a good balance to the article as a whole. At the very least, the second example should go (noting that he has extended his proposal to mass in this way, perhaps). And we need some remark about moving from a dimensionless product can alternatively be turned into an equation with one physical variable on the left, and how the dimensionless constant enters. We also need a remark that gives notice to the fact that the dimensionless constant C in so many problems is of order unity. Why is that? On the higher dimensional space generalization, I didn't mean that I doubted it, but I was concerned that it seems to be more of a curiosity at this point. But who knows, maybe it will lead somewhere interesting... Well, lets keep working on this for a while yet. We're getting there. I'm anxious to get a look at what you've been doing on fat tails... DonSiano 17:53, 28 January 2006 (UTC)
I think the higher dimensional stuff is more than a curiosity, it is informative. Even the three space stuff can be made more informative. The cross product of A and B is a pseudovector, so its not really physical, since its value depends on the coordinate system. The truly physical entity is the wedge product of A and B which is an antisymmetric 2-tensor. If AxB=C then and the wedge product is so you can see that there is a one-to-one correspondence. The cross product is just shorthand for the true entity. The good thing about the wedge product is that it does not change sign when the coordinate system is inverted. It is a "true" physical quantity. Another unique thing about the wedge product 2-tensor is that it can be squared, yielding another 2-tensor with the same dimensional characteristics. If we take your suggestion that an angle is a pseudovector, then by the above argument, its really a 2-tensor. Since it can be squared, we can now have exp(θ) which is also a 2-tensor. However, its not an antisymmetric 2-tensor, so there is no pseudovector to be associated with it. It turns out that exp(θ) is the transformation matrix for converting from one coordinate system to another rotated by angle theta about the axis specified by the vector direction of theta!. Anyway, this line of thinking can go on and on, and there is a lot of neat stuff to be figured out here. PAR 19:35, 28 January 2006 (UTC) Integral transformWhat do you want to say with this edit? -- Jitse Niesen (talk) 23:51, 1 February 2006 (UTC)
I see what you mean. However, if you want to be rigorous, I think that there are a lot more things to be mentioned there. Just to take your example, if you take the Fourier transform of H to be which is the definition in the article, then the Fourier transform does not even exist because the integral does not converge. So, I think we should either give the full details (which may not be so hard; for instance, for Fourier I think it's enough to say that everything is square integrable and "=" means equality almost everything), or we do some hand-waving and say that we assume that everything is well-behaved. -- Jitse Niesen (talk) 16:33, 2 February 2006 (UTC)
Lambertian reflectanceI would like to put a merge message on Lambertian reflectance, suggesting that it be merged with Lambert's cosine law, unless you have an objection. PAR 03:12, 20 February 2006 (UTC)
I noticed that too. I think it might be good to have a section in the cosine law article that includes computer graphics applications, but then the computer graphics people might think it would be good to have a physics section in a computer graphics article. I will put the merge message up and see what happens. PAR 01:06, 21 February 2006 (UTC) Please don't remove copyright-violation templates; replacing the text isn't enough, as the violation is still in the page history. You can place the replacement text at the temp page, and someone (me, if I see it first) can delete the article and replace it with the new one. I know that it's a pain, but blame the person who made the oiginal mess. --Mel Etitis (Μελ Ετητης) 10:16, 25 February 2006 (UTC)
PolylogarithmHi, I think I found an error in the polylogarithm article. If I remember the article history correctly, this would be in a section you've added. Can you please review? I'm rather desperate, as this seems to be the source of an error that perpetuated itself into my calculations. 14:13, 2 May 2006 (UTC) Impedance & thermodynamicsHello PAR. Previously you wrote "I don't think gear changing is a form of impedance matching" on the thermodynamics talk. User:Light current has posed an opposing view at impedance matching talk. I would be interested to read your response. Regards, Sholto Maud 03:23, 3 May 2006 (UTC) Hello again PAR. Thankyou for your contributions to the impedance mathcing discussion. I've moved discussion to the analogical models page where it seems more appropriate. Sorry to disturb you again. Lightcurrent and myself are having trouble with finding the analog definitions for load rotational resistance and internal rotational resistance if you are able to help clarify the matter it would be most useful. Thanks again. Sholto Maud 04:24, 6 May 2006 (UTC) Commons imagesHi, two of your images commons:Image:Pulley0.png and commons:Image:Pulley3a.png does not have any license. --Tomia 20:57, 17 May 2006 (UTC)
please take a look at:Talk:Sinc_function_(unnormalized) . i am reasserting the issue of the primary definition of sinc function and am proposing that the primary definition be changed to with mention to the historical definition (without the π factors) as the alternative definition and the one that fits the zeroth order spherical Bessel function of the first kind without scaling. whereas i respectfully disagree with you, i really do want your position to be represented in the discussion. r b-j 21:31, 31 May 2006 (UTC) questionHello Please see my question on Talk:Internal energy. eman 13:32, 2 June 2006 (UTC) Knot picturesHi,
I think I know what's going on here. See this discussion. --Smack (talk) 01:37, 14 June 2006 (UTC)
enthalpy and unternak energyhi Could you please look at my question on Talk:Enthalpy#contradiction? - is dQ = dH in isobaric chemical reactions?, and Talk:Internal energy#U=TS-PV?/ Thanks
Image:GBRedDot.png not displaying in IEThe creator of the template Template:Infobox Town NY has modified the template so it accepts this image template you created. Which means no creating unique image files for every location in NYS, so thank you very much! What a great combination! However, in testing it I discovered that the red dot image () does not display in MS IE. Initially I thought it was a problem with the template, but it seems the actual image does not like IE (I'm using 6 on an XP SP2 platform); the state image display fine. I get both just fine in the latest version of Firefox. Any ideas? Thanks. Jim Dunning 18:18, 31 July 2006 (UTC)
Planck's lawYou wrote: Thomas - don't change it. You forgot to transform the differential dν. In other words, you don't want to say you want to say: Since λν = c, you have dλ = − cdν / ν2 and dν = − cdλ / λ2. If you redo the math, and realize that the signs on the differentials don't matter, you will see that everything is ok. PAR 16:23, 31 July 2006 (UTC) Retrieved from "http://en.wikipedia.org/wiki/Talk:Planck%27s_law_of_black_body_radiation"
PAR - you are obviously right! I am really glad I didn't change it in the main article. I rely heavily on Wikipedia when doing research, so I would be ashamed of introducing mistakes myself. Actually, I went home after having written my comment and already on the way home the penny fell and I saw that the units were correct indeed. I deleted the comment from the discussion page of "Planck's law" in order to avoid that others might doubt the credibility of the article. Many thanks for the correct answer though, because it was only after seeing it from you that I knew that my ultimate thought on that days way home was the right one. Otherwise who knows how long it might have bothered me. Thanks for all the work done on Wikipedia, it looks like a hell of a lot of time you are putting into it, Thomas
Hi PAR, sure the reformating is fine, even very welcome. I am not familiar with latec so I just didn't know how to write the equations neatly. As for the restoring I consider erasing the right thing to do since my original post might lead to confusion. If the Wiki-family prefers not to erase it I consent though. Remains that I think in this case the discussion title had better be changed, since it gives too strong an impression of something really being faulty in the main article (yeah, I sould have thought about that earlier), don't you think? PS. A question for an old fox; how do i get rid of the "you have new messages"-bar? Since this was a first for me I didn't create a personal login and it seems the IP is the server IP so anyone at work with me will get the message, which will lead to yet more confusion. Thomas
Unspecified source for Image:Lenna.pngThanks for uploading Image:Lenna.png. I notice the file's description page currently doesn't specify who created the content, so the copyright status is unclear. If you have not created this file yourself, then there needs to be a justification explaining why we have the right to use it on Wikipedia (see copyright tagging below). If you did not create the file yourself, then you need to specify where it was found, i.e., in most cases link to the website where it was taken from, and the terms of use for content from that page. If the file also doesn't have a copyright tag, then one should be added. If you created/took the picture, audio, or video then the {{GFDL-self}} tag can be used to release it under the GFDL. If you believe the media meets the criteria at Wikipedia:Fair use, use a tag such as {{Non-free fair use in|article name}} or one of the other tags listed at Wikipedia:Image copyright tags#Fair_use. See Wikipedia:Image copyright tags for the full list of copyright tags that you can use. If you have uploaded other files, consider checking that you have specified their source and tagged them, too. You can find a list of files you have uploaded by following this link. Unsourced and untagged images may be deleted one week after they have been uploaded, as described on criteria for speedy deletion. If you have any questions please ask them at the Media copyright questions page. Thank you. howcheng {chat} 18:33, 29 August 2006 (UTC) Abramowitz and Stegun - confusing situationHi PAR, your change to Orthogonal polynomials breaks the link to the Wikipedia article on A&S called Handbook of Mathematical Functions. Also, I know people use ISBNs historically, but there is a real Dover edition of this book which is available for purchase through Amazon for $24.39, but its ISBN is now gone! The only ISBN remaining is the hardcover edition that can only be purchased from the government, for $68.50. Would you consider reverting your change, or at least undoing these particular consequences? I agree that some of the bibliographic details are unclear. EdJohnston 05:30, 23 September 2006 (UTC)
Fourier function talkThank you for your positive attitude in your reply of September 13. I'm sorry that I don't have much time these days to follow up as intensively as one should who put a merge tag on an article. I think, however, that I found a better way to explain my motivation for the tag, and I just added it there. (I also replied to your question "How do the "significant structural inconsistencies" change this?" further up in the discussion.) — Sebastian (talk) 00:33, 24 September 2006 (UTC) You mentioned Fourier Transform on Locally compact abelian Groups. Unfortunately I'm not familiar with this generalization. How many of the properties of the continues FT does it preserve? — Sebastian (talk) 22:07, 27 September 2006 (UTC)
Abramowitz & Stegun referencesPlease see my note on Talk:Orthogonal_polynomials I see Ed Johnston has already paid you a visit :-) William Ackerman 21:52, 24 September 2006 (UTC)
Polylog algosDo you know of any papers that might describe fast algorithms for computing the polylog, in the general case? linas 03:25, 4 October 2006 (UTC)
Fitness landscapeErr, my delisting comment still seems to be on the talk page....? Homestarmy 19:15, 19 October 2006 (UTC)
You deleted a lot from Black bodyI noticed your edit http://en.wikipedia.org/w/index.php?title=Black_body&oldid=80573683 deleted an entire section and also deleted and moved around images. It was quite the major edit, but your edit sumary was simply "Link to Planckian locus." Was it all a mistake? JabberWok 03:37, 20 October 2006 (UTC)
Leff's paperPar, I've been digging into that thermodynamic entropy paper by Leff and in doing so I have been reading parts of the books he references. If you want to get a good presentation of the energy sharing, mixing, or spreading between quantized energy levels I would recommend that you get a copy of Kenneth Denbigh's The Principles of Chemical Equilibrium (originally published in 1955). The theory or argument starts on page 48, it has nice diagrams, and is argued and written 10x better than the Leff paper, which I have to say turns me off because it is presented in such a sloppy manner. He also uses Ralph Baierlein as a reference, but I have Baierlein's 2003 Thermal Physics, and it is not at all written like Leff's article. Baierlein's book is one of my favorites. It is well-written and full of atomic insight. This is all I can give you. To really dig into this issue would take a month's worth of reading. P.S. do you know how to make an S with a dot on it or an S with a triangle hat on it in math formula? Later: --Sadi Carnot 18:33, 5 November 2006 (UTC)
Thanks, then I'll add the following entropy balance equation for an open system, in which heat, work, and mass flows across the system boundary, i.e. according to Sandler's 1989 Chemical and Engineering Thermodynamics, 2nd Ed. I'll add it to the entropy article, with more comment and elaboration. I'll check the Wiki help (Math symbols ) page to see if someone knows the hat notation. Later: --Sadi Carnot 14:13, 6 November 2006 (UTC)
Entropy balance equation for open systemsIn chemical engineering, the principles of thermodynamics are commonly applied to "open systems", i.e. those in which heat, work, and mass flow across the system boundary. In a system in which there are flows of both heat () and work [() and ()] across the system boundaries, the heat flow, but not the work flow, causes a change in the entropy of the system. This rate of entropy change is , where T is the absolute thermodynamic temperature of the system at the point of the heat flow. If, in addition, there are mass flows across the system boundaries, the total entropy of the system will also change due to this convected flow. To derive, we start with the general balance equation for the change in any extensive quantity Θ in a thermodynamic system, which states that dΘ/dt, i.e. the rate of change of Θ in the system, equals the rate at which Θ enters the system at the boundaries, minus the rate at which Θ leaves the system across the system boundaries, plus the rate at which Θ is generated within the system. With respect to the rate of change with time of the extensive quantity entropy S, this gives: where
Note, also, that if there are multiple heat flows, the term is to be replaced by , where is the heat flow and is the temperature at the jth heat flow port into the system. Par, someone recently started this article as a stub on the entropy page; I beefed it up and moved it to its own page. Have any contributions for this page? I see that you are interested in the potential energy minimization principle. I am interested in this as well; however, I think the page needs to be moved to a shorter title and the entropy maximization principle needs to go to a non-information theory page with a discussion of the second law. And this: principle of minimum energy needs to be merged somewhere. Any comments? Later: --Sadi Carnot 13:07, 7 November 2006 (UTC)
Information entropy definitionsHi par, I see that you want the "information entropy" definitions moved off the page. There was an edit conflict when you did this. Could you see how they fit now with the new material I added? I think that trying to pigeon hole this page to focus predominantly on thermodynamic entropy, to the exclusion of other types of entropy, will be difficult. Any comments? --Sadi Carnot 16:29, 21 November 2006 (UTC)
I'm taking a break from all the entropy pages for a while; I'll have to get back to you. Later: --Sadi Carnot 05:28, 28 November 2006 (UTC) Fourier transformCan you take a look at this comment ? I would like to get your input. Abecedare 03:50, 28 November 2006 (UTC) \equivThank you for offering your help! I replied to your question on WT:WPM, but no need to look it up, here you go again: The list is Wikipedia talk:WikiProject Mathematics/equivlist - simply delete the bullet points for articles you completed. — Sebastian (talk) 19:35, 28 November 2006 (UTC) New Thermodynamics template.Have a good look at this; it looks quite good, i think. Maybe User:JCraw will make changes to it? James S 01:16, 29 November 2006 (UTC)
WelativityThis is positively hysterical. It seems someone has already taken care of it, however. Thanks kindly for the heads-up. — Dan | talk 03:45, 4 December 2006 (UTC) redirect at real gasWhy did you change the redirect at real gas to gas from ideal gas? The two are very different articles, and you didn't even leave an edit comment. ... aa:talk 01:48, 9 December 2006 (UTC)
Hi PAR, want to join a new project-group I recently started the WP:Extra-Long Article Committee? You could help keep the group posted on or help projects related to the division of extra-long science articles (or anything along these lines) from time to time? Talk later: --Sadi Carnot 19:02, 9 December 2006 (UTC)
ELAC welcomeHi PAR, thanks for joining the Extra-Long Article Committee. Here’s a useful site map for you: {{ELAC site map}} Your inputs are always good. Feel free to contribute any way you want. No rush on this project; it's more of a chip-away a little at a time kind of project. Thanks, talk soon: --Sadi Carnot 18:50, 9 December 2006 (UTC) I note you added text to identify two solutions as Kummer's and Whittaker's. This is not the usage that A&S uses; I'm wondering where you are getting these two names from? linas 00:49, 11 December 2006 (UTC)
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