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{{Infobox scientist
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| name = Mikhail Ostrogradsky
| image = Ostrogradski.jpeg
| caption = Mikhail Vasilyevich Ostrogradsky
| birth_date = {{Birth date|1801|9|24|mf=yes}}
| birth_place = [[Pashennaya]]
| death_date = {{Death date and age|1862|1|1|1801|9|24|mf=yes}}
| death_place = [[Poltava]]
}}
'''Mikhail Vasilyevich Ostrogradsky''' (transcribed also '''Ostrohradskyy''', '''Ostrogradskii''', '''Ostrogradskiĭ''') ({{lang-ru|Михаил Васильевич Остроградский}}, {{lang-ua|Михайло Васильович Остроградський}}, September 24, 1801 – January 1, 1862) was a [[Russia]]n / [[Ukrainians|Ukrainian]] [[mathematician]], [[mechanics|mechanician]] and [[physicist]]. Ostrogradsky is considered to be a disciple of [[Leonhard Euler]] and one of the leading mathematicians of Imperial Russia.
 
Ostrogradsky was born in Pashennaya (Пашенная), [[Poltava Governorate]], [[Russian Empire]] (today [[Pashenivka]], [[Kozelshchyna Raion]], [[Poltava Oblast]], [[Ukraine]]). From 1816 to 1820 he studied under Timofei Fedorovich Osipovsky (1765–1832) and graduated from the [[Kharkiv University|University of Kharkiv]]. When 1820 Osipovsky was suspended on religious grounds, Ostrogradsky refused to be examined and he never received his [[Doctor of Philosophy|Doctor's degree]]. From 1822 to 1826 he studied at the [[University of Paris|Sorbonne]] and at the [[Collège de France]] in [[Paris]], [[France]]. In 1828 he returned to the Russian Empire and settled in [[Saint Petersburg]], where he was elected a member of the [[Russian Academy of Science|Academy of Sciences]], Also he becomes the professor of the [[Military Engineering-Technical University|Main military engineering School]] of the Russian empire.  
 
He worked mainly in the mathematical fields of [[calculus of variations]], [[Integral|integration]] of [[algebraic function]]s, [[number theory]], [[algebra]], [[geometry]], [[probability theory]] and in the fields of [[mathematical physics]] and [[classical mechanics]]. In the latter, his most important work includes researches of the [[motion (physics)|motion]] of an elastic body and the development of methods for integration of the equations of [[dynamics (mechanics)|dynamics]]. Here he continued works of [[Euler]], [[Joseph Louis Lagrange]], [[Siméon Denis Poisson]] and [[Augustin Louis Cauchy]]. In Russia, his work in these fields was continued by Nikolay Dmitrievich Brashman (1796–1866), August Yulevich Davidov (1823–1885) and specially by the brilliant work of [[Nikolai Yegorovich Zhukovsky]] (1847–1921).
 
Ostrogradsky did not appreciate the work on [[non-Euclidean geometry]] of [[Nikolai Ivanovich Lobachevsky|Nikolay Ivanovich Lobachevsky]] from 1823 and he rejected it, when it was submitted for publication in the Saint Petersburg Academy of Sciences.
 
His method for integrating the [[rational function]]s is well known. With his equation we separate integral of a fractional rational function, the sum of the rational part (algebraic fraction) and the transcendental part (with the [[logarithm]] and the [[Inverse trigonometric function|arctangent]]). We determine the rational part without integrating it and we assign a given integral into Ostrogradsky's form:
 
:<math> \int {R(x)\over P(x)} \, dx = {T(x)\over S(x)} + \int {X(x)\over Y(x)} \, dx, </math>
 
where ''P''(''x''), ''S''(''x''), ''Y''(''x'') are known polynomials of degrees ''p'', ''s'' and ''y'', ''R''(''x'') known polynomial of degree not greater than ''p''&nbsp;&minus;&nbsp;1, ''T''(''x'') and ''X''(''x'') unknown polynomials of degrees not greater than ''s''&nbsp;&minus;&nbsp;1 and ''y''&nbsp;&minus;&nbsp;1 respectively.
 
Ostrogradsky died in [[Poltava]], [[Poltava Governorate]], [[Russian Empire]] (today [[Ukraine]]).
 
==See also==
 
: [[Divergence theorem]] (Ostrogradsky–Gauss theorem / Gauss–Ostrogradsky // Green–Ostrogradsky–Gauss / Gauss–Green–Ostrogradsky)
: [[Ostrogradsky's equation]]
 
:: <math> \iiint_V \left( {\partial P\over \partial x} + {\partial Q\over \partial y} + {\partial R\over \partial z} \right) dx \, dy \, dz =
\iint_\Sigma \left( P + Q + R\right) \, d\Sigma </math>
: [[Green's theorem]] (1827)
:: [[Green–Ostrogradsky equation]] (1828)
: [[Hamilton–Ostrogradsky (variational) principle]]
: [[Ostrogradsky formalism]]
: [[Einstein–Ostrogradsky–Dirac Hamiltonian]]
: [[Horowitz–Ostrogradsky method]]
: [[Jacobi–Ostrogradsky coordinate]]s
 
==External links==
*{{MacTutor Biography|id=Ostrogradski}}
 
{{Authority control|VIAF=60499410}}
 
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME              = Ostrogradsky, Mikhail Vasilievich
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Russian mathematician and physicist
| DATE OF BIRTH    = September 24, 1801
| PLACE OF BIRTH    = [[Pashennaya]]
| DATE OF DEATH    = January 1, 1862
| PLACE OF DEATH    = [[Poltava]]
}}
{{DEFAULTSORT:Ostrogradsky, Mikhail Vasilievich}}
[[Category:1801 births]]
[[Category:1862 deaths]]
[[Category:University of Paris alumni]]
[[Category:Full Members of the St Petersburg Academy of Sciences]]
[[Category:Military Engineering-Technical University faculty]]
[[Category:Russian people of Ukrainian descent]]
[[Category:19th-century Russian mathematicians]]
[[Category:Russian physicists]]
[[Category:People from Kharkiv]]
[[Category:Kharkiv University alumni]]

Latest revision as of 15:17, 24 July 2014

Have you been wondering "how do I accelerate my computer" lately? Well possibilities are should you are reading this article; then we may be experiencing 1 of countless computer issues that thousands of individuals discover that they face regularly.

We should recognize certain easy plus cheap techniques that will resolve the issue of your computer and speed it up. The earlier we fix it, the less damage the computer gets. I will tell regarding certain useful techniques which may assist we to accelerate you computer.

The error is basically a outcome of issue with Windows Installer package. The Windows Installer is a tool used to install, uninstall plus repair the most programs on your computer. Let us discuss a limited items that helped a lot of folks whom facing the synonymous problem.

Review the files plus clean it up regularly. Destroy all unnecessary plus unused files considering they just jam your computer program. It will surely enhance the speed of the computer and be cautious that your computer do not afflicted by a virus. Remember usually to update your antivirus software each time. If you never utilize your computer especially often, you can take a free antivirus.

Many system mechanic professional s let we to download their product for free, to scan the computer oneself. That technique you are able to see how numerous mistakes it finds, where it finds them, plus how it will fix them. A ideal registry cleaner will remove your registry problems, and optimize and speed up your PC, with little effort on a piece.

Reinstall Windows 7 - If nothing appears to function, reinstall Windows 7 with the installation disc which came with the pack. Kindly backup or restore all the data to a flash drive or another hard drive/CD etc. before performing the reinstallation.

Most likely should you are experiencing a slow computer it can be a couple years old. We moreover may not have been told that while you use your computer everyday; there are certain points which it requires to continue running in its ideal performance. We additionally may not even own any diagnostic tools that usually receive your PC running like brand-new again. So never allow that stop we from getting the program cleaned. With access to the web you will find the tools that will assist you receive a system running like new again.

Frequently the greatest way is to read reports on them plus when countless users remark regarding its efficiency, it's probably to be function. The best part is that there are many top registry cleaners which work; we merely have to take your pick.

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