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In [[general relativity]] and gravitation the '''Palatini variation''' is nowadays thought of as variation of a [[Lagrangian]] with respect to the connection.
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In fact, as is well known, the [[Einstein-Hilbert Lagrangian|Einstein-Hilbert action]] for general relativity was first formulated purely in terms of the [[Metric tensor (general relativity)|spacetime metric]] <math>\scriptstyle {g_{\mu\nu}}</math>. In the Palatini variational method one takes as independent field variables not only the ten components <math>\scriptstyle {g_{\mu\nu}}</math> but also the forty components of the [[affine connection]] <math>\scriptstyle {\Gamma^{\alpha}_{\,\beta\mu}}</math>, assuming, a priori, no dependence of the <math>\scriptstyle {\Gamma^{\alpha}_{\,\beta\mu}}</math> from the <math>\scriptstyle {g_{\mu\nu}}</math> and their derivatives.
 
The reason that Palatini variation is considered important is that it means that the use of the [[Affine connection|Christoffel connection]] in general relativity does not have to be added as a separate assumption, the information is already in the Lagrangian. For theories of gravitation which have more complex lagrangians than the [[Einstein-Hilbert Lagrangian]] of general relativity Palatini variation sometimes gives more complex connections and sometimes tensorial equations.
 
[[Attilio Palatini]] (1889-1949) was an Italian mathematician who received his doctorate from the [[University of Padova]], where he studied under [[Tullio Levi-Civita|Levi-Civita]] and [[Gregorio Ricci-Curbastro|Ricci-Curbastro]].  
 
The history of the subject, and Palatini's connection with it, is not straightfoward,  see the references. In fact, it seems that what the textbooks now call Palatini formalism was actually invented in 1925 by Einstein and as the years passed people tended to mix up the [[Palatini identity]] and the Palatini formalism.
 
==See also==
*[[Palatini identity]]
*[[Self-dual Palatini action]]
*[[Tetradic Palatini action]]
 
==References==
* A. Palatini (1919) ''Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton'', Rend. Circ. Mat. Palermo '''43''', 203-212 [English translation by R.Hojman and C. Mukku in [[Peter Bergmann|P.G. Bergmann]] and V. De Sabbata (eds.) Cosmology and Gravitation, Plenum Press, New York (1980)]
* M. Tsamparlis, ''On the Palatini method of Variation'', J. Math. Phys. '''19''', 555 (1977).
* M. Ferraris, [[Mauro Francaviglia|M. Francaviglia]], C. Reina, ''Variational Formulation of General Relativity from 1915 to 1925 'Palatini's Method' Discovered by Einstein in 1925'', Gen. Rel. Grav. '''14''' (1982) 243-254.
 
[[Category:Lagrangian mechanics]]
[[Category:General relativity]]

Revision as of 07:33, 13 February 2014

A lagging computer is truly annoying and may be very a headache. Almost each individual that utilizes a computer faces this problem some time or the alternative. If your computer also suffers from the same problem, there are it hard to continue working as routine. In such a condition, the thought, "what should I do to make my PC run faster?" is recurring and infuriating. There's a answer, but!

Another answer is to provide the computer system with a new msvcr71 file. Frequently, once the file has been corrupted or damaged, it can no longer be capable to function like it did before thus it's just all-natural to replace the file. Simply download another msvcr71.dll file within the web. Often, the file can come in a zip format. Extract the files within the zip folder plus region them accordingly in this location: C:\Windows\System32. Afterward, re-register the file. Click Start plus then choose Run. When the Run window appears, sort "cmd". Press Enter and then type "regsvr32 -u msvcr71.dll" followed by "regsvr32 msvcr71.dll". Press Enter again and the file could be registered accordingly.

The error is basically a result of problem with Windows Installer package. The Windows Installer is a tool utilized to install, uninstall and repair the most programs on a computer. Let you discuss a few aspects that helped a lot of people whom facing the synonymous issue.

In order to remove the programs on a computer, Windows Installer need to be inside a healthy state. If its installation is corrupted you might receive error 1721 inside Windows 7, Vista and XP during the system removal process. Just re-registering its component files would solve the problem.

One other option when arresting the 1328 error is to clean out the PC's registry. The registry is especially important because it's where settings and files utilized by Windows for running are stored. As it happens to be frequently selected, breakdowns plus situations of files getting corrupted are not unusual. Additionally because of the technique it is actually configured, the "registry" gets saved in the incorrect fashion consistently, which makes the system run slow, eventually causing the PC to suffer from a series of errors. The many effective system one may use in cleaning out registries is to use a reliable tuneup utilities 2014 program. A registry cleaner could seek out plus repair corrupted registry files plus settings allowing one's computer to run normally again.

Files with all the DOC extension are equally susceptible to viruses, however, this is solved by good antivirus programs. Another issue is the fact that .doc files might be corrupted, unreadable or damaged due to spyware, adware, and malware. These instances will avoid consumers from properly opening DOC files. This really is when powerful registry products become worthwhile.

Most probably should you are experiencing a slow computer it could be a couple years older. You also might not have been told that while we use the computer everyday; there are certain factors which it requires to continue running inside its best performance. You additionally may not even own any diagnostic tools that will get a PC running like unique again. So never allow that stop you from getting your program cleaned. With access to the web you are able to find the tools that will assist you receive the system running like brand-new again.

Often the best means is to read critiques on them and if numerous users remark about its efficiency, it happens to be probably to be work. The best piece is that there are numerous top registry cleaners which work; you really have to take a choose.

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