Homomorphic secret sharing - Revision history

en>Yobot: Tagging using AWB (10703)

2015-01-07T11:39:30Z

Tagging using AWB (10703)

← Older revision		Revision as of 13:39, 7 January 2015
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	~~{{Expert-subject\|Mathematics\|date~~=~~February 2009}}~~		== Одежда Moncler наконец ==

	~~In [[mathematics]]~~, the '''discrete exterior calculus''' ('''DEC''') is the extension of the [[exterior algebra\|exterior calculus]] to [[discrete mathematics\|discrete]] spaces including [[graph theory\|graphs]] and [[finite element method\|finite element meshes]]. ~~DEC methods have proved to be very powerful in improving and analyzing finite element methods~~: ~~for instance~~, ~~DEC-based methods allow the use of highly non-uniform meshes to obtain accurate results~~. ~~Non-uniform meshes are advantageous because they allow the use of large elements where the process to be simulated is relatively simple~~, ~~as opposed to a fine resolution where the process may be complicated (e~~.g., ~~near an obstruction to a fluid flow)~~, ~~while using less computational power than if a uniformly fine mesh were used~~.		Разрушительные болезни, в сочетании с торговыми давления, пригласил Pequots ужесточить свою власть на речных племен. Ингредиенты для Чеснок Пита ChipsFor этот рецепт, вам понадобится: 3 ст. " . Es Важная cerciorarse де дие лос Detalles де су Negocio incluidos ан Када ООН де-лос directorios локали Шон correctos как Комо precisos. <br><br>Даже третья сторона PDF драйверы печати, как правило, в шоке от таких файлов. Вы получите 14440 очков которых раскладывается до $ 144,40. Студенты Информатика дать их взятие на выживших участников для проекта класса. В 2012 году Уильямс, наконец, взял поле после заседания из его новичком кампанию в 2011 году из-за травмы колена. <br><br>Хотя утверждение обеих [http://www.restauranteogan.com.br/confuse/envia.asp?id=4-Одежда-Moncler Одежда Moncler] палат необходимо для законодательства, Сенат очень редко отклоняет законопроекты, принятые палатой общин (хотя Сенат действительно иногда изменить счета). Его хорошо вы пытаетесь улучшить свой кредитный профиль, но пока это не дон достичь как хороший кредитный рейтинг, вы не найдете лучшие тарифы. <br><br>Так что мы находимся в середине этого. Запреты / ограничения на блоги, размещение, социальные сети, Twittering и Like.55 С. Учитывая то, как плохо текущие результаты, четко [http://www.manicoreonline.com.br/Templates/default.asp?Pag=101-Parajumpers-Санкт-Петербург Parajumpers Санкт Петербург] слишком полагаться на алгоритме над человеческим здравым смыслом.. Это очень легко сделать. <br><br>Реверсивный что снижение будет стоить денег.. Un ао despus Вулф Fij су atencin ан ла Сьюдад-де-Квебек. Так что либо Apple, ленив, слишком туп, чтобы найти такое решение, или (скорее всего) [http://www.manicoreonline.com.br/Templates/default.asp?Pag=130-Barbour-International-Москва Barbour International Москва] они намеренно пренебрегая для защиты своих пользователей от данного типа можно предотвратить эксплуатировать, с тем чтобы облегчить их повестку дня объявления войны со всеми, не являющихся технологий Apple. <br><br>Двойным сцеплением будет кредитовать быстрых переключений передач на выполнение вождения, и 4C будет спорт функцию ДНК Альфа Ромео, который позволяет переключатель водителя между Dynamic, естественно, и все режимы Погода вождения. Сказав, что, нет никаких сомнений в том, что площадь Washngton DC был основным бенефициаром для роста после 9/11. <br><br>Спасибо Amazon сообщили мне reneg там. Информация, введенная в другом месте на нашем сайте передается Hughes разведки и Associates серверов незашифрованном, используя стандартный интернет-протокол (HTTP). Изучение исследователями в Стэнфордском университете в Школе медицины, в Калифорнии, был разработан для того, чтобы измерить силу рекламы на маленьких детей. <br><br>До следующего является Эймс, так Эшли возглавляет в Chadds Ford, Пенсильвания, чтобы встретить его семью, где Эймс сестра является немного подозревают, [http://www.restauranteogan.com.br/confuse/envia.asp?id=134-Купить-Moncler-Пуховик Купить Moncler Пуховик] что Эшли может быть не так в ее брата, как он в нее, так что она садится с Эймс и дает его зажигательную речь, чтобы убедиться, что он Безразлично взорвать его.<ul>

	=~~=The discrete exterior derivative==~~		<li>[http://www.yanaas.net/index.php?page=item&id=59189 http://www.yanaas.net/index.php?page=item&id=59189]</li>

	~~[[Stokes' theorem]] relates the [[integral]] of a [[differential form\|differential (''n'' − 1)~~-~~form~~]~~] ''ω'' over the [[boundary~~ (~~topology~~)~~\|boundary]] ∂''M'' of an ''n''-[[dimension]]al manifold ''M'' to the integral of d''ω'' (the [[exterior derivative]] of ''ω''~~, ~~and a differential ''n''-form on ''M'') over ''M'' itself:~~		<li>[http://nnph.kilu.net/read.php?tid=7120 http://nnph.kilu.net/read.php?tid=7120]</li>

	:<~~math~~>~~\int_{M} \mathrm{d} \omega~~ = ~~\int_{\partial M} \omega~~.<~~/math~~>		<li>[http://www.francerussiephil.lautre.net/spip.php?article4/ http://www.francerussiephil.lautre.net/spip.php?article4/]</li>

	~~One could think of differential ''k''~~-~~forms as [[linear operator]]s that act on ''k''~~-~~dimensional "bits" of space~~, ~~in which case one might prefer to use the~~ [~~[bra~~-~~ket notation~~]~~] for a dual pairing~~. ~~In this notation~~, ~~Stokes' theorem reads as~~		<li>[http://bbs.2950.com.cn/thread-443702-1-1.html http://bbs.2950.com.cn/thread-443702-1-1.html]</li>

	:<~~math~~>~~\langle \mathrm{d} \omega \| M \rangle = \langle \omega \| \partial M \rangle.~~<~~/math~~>		<li>[http://danatelford.com/node/14 http://danatelford.com/node/14]</li>

	~~In finite element analysis~~, ~~the first stage is often the approximation of the domain of interest by a [[triangulation~~ (~~topology~~)~~\|triangulation]], ''T''~~. ~~For example~~, ~~a curve would be approximated as a union of straight line segments; a surface would be approximated by a union of triangles~~, ~~whose edges are straight line segments~~, ~~which themselves terminate in points~~. ~~Topologists would refer to such a construction as a [[simplicial complex]]. The boundary operator on this triangulation/simplicial complex ''T'' is defined in the usual way: for example~~, ~~if ''L'' is a directed line segment from one point~~, ~~''a''~~, ~~to another~~, ~~''b''~~, ~~then the boundary ∂''L'' of ''L'' is the formal difference ''b'' − ''a''~~.		</ul>

	~~A ''k''-form on ''T'' is a linear operator acting on ''k''-dimensional subcomplexes of ''T''; e~~.g.~~, a 0~~-~~form assigns values to points, and extends linearly to linear combinations of points; a 1~~-~~form assigns values to line segments in a similarly linear way. If ''S'' is a (''k'' + 1)~~-~~dimensional subcomplex of ''T'' and ''ω'' is a ''k''-form on ''T''~~, ~~then the '''discrete exterior derivative''' d''ω'' of ''ω'' is the unique (''k'' + 1)-form defined so that Stokes' theorem holds:~~

	:<~~math~~>~~\langle \mathrm{d} \omega \| S \rangle = \langle \omega \| \partial S \rangle~~.</~~math>~~

	~~Other concepts such as the discrete [[wedge product]] and the discrete [[Hodge star]] can also be defined~~.

	==~~See also~~==
	*[[Discrete differential geometry]]
	*[[Discrete Morse theory]]
	*[[Topological combinatorics]]

	~~==References==~~
	*[http://~~multires~~.~~caltech~~.~~edu~~/~~~keenan~~/~~pdf~~/~~DGPDEC~~.~~pdf SIGGRAPH 2013 Course Notes~~]
	*[http://www.~~springer~~.~~com~~/~~computer~~/~~image+processing~~/~~book~~/~~978-1-84996-289-6 Discrete Calculus], Grady, Leo J~~.~~, Polimeni, Jonathan R~~.~~, ISBN 978-1-84996-289-6, 2010~~
	*[http://~~math~~.~~berkeley~~.~~edu~~/~~~pugh/colloquium_abstracts/harrison~~.html ~~Discrete Exterior Calculus with Convergence to the Smooth Continuum]~~
	*[http://~~etd~~.~~caltech~~.~~edu~~/~~etd/available/etd~~-~~05202003~~-~~095403/unrestricted/thesis_hirani~~.~~pdf Hirani Thesis on Discrete Exterior Calculus~~]
	*[http://~~link~~.~~aip.org~~/~~link~~/~~doi~~/10.~~1063~~/~~1.2830977 On geometric discretization of elasticity~~]~~, Arash Yavari, J. Math. Phys. 49, 022901 (2008), DOI:10.1063~~/~~1.2830977~~

	~~[[Category:Finite element method]]~~
	~~[[Category:Multilinear algebra]]~~

en>Hillbillyholiday: publically

2013-08-10T20:13:50Z

publically

← Older revision		Revision as of 22:13, 10 August 2013
Line 1:		Line 1:
	~~Friends call him Royal Seyler~~. ~~I presently live~~ in ~~Alabama~~. ~~His day occupation~~ is a ~~cashier~~ and ~~his salary has been really fulfilling~~. The ~~factor I adore most flower arranging~~ and ~~now I have time~~ to ~~take~~ on ~~new issues.~~<br><br>~~Also visit my web blog~~ [http://www.~~tenx~~.com/~~UserProfile~~/~~tabid~~/62/~~userId~~/~~13166~~/~~Default~~.~~aspx extended car warranty~~]		{{Expert-subject\|Mathematics\|date=February 2009}}

			In [[mathematics]], the '''discrete exterior calculus''' ('''DEC''') is the extension of the [[exterior algebra\|exterior calculus]] to [[discrete mathematics\|discrete]] spaces including [[graph theory\|graphs]] and [[finite element method\|finite element meshes]]. DEC methods have proved to be very powerful in improving and analyzing finite element methods: for instance, DEC-based methods allow the use of highly non-uniform meshes to obtain accurate results. Non-uniform meshes are advantageous because they allow the use of large elements where the process to be simulated is relatively simple, as opposed to a fine resolution where the process may be complicated (e.g., near an obstruction to a fluid flow), while using less computational power than if a uniformly fine mesh were used.

			==The discrete exterior derivative==

			[[Stokes' theorem]] relates the [[integral]] of a [[differential form\|differential (''n'' − 1)-form]] ''ω'' over the [[boundary (topology)\|boundary]] ∂''M'' of an ''n''-[[dimension]]al manifold ''M'' to the integral of d''ω'' (the [[exterior derivative]] of ''ω'', and a differential ''n''-form on ''M'') over ''M'' itself:

			:<math>\int_{M} \mathrm{d} \omega = \int_{\partial M} \omega.</math>

			One could think of differential ''k''-forms as [[linear operator]]s that act on ''k''-dimensional "bits" of space, in which case one might prefer to use the [[bra-ket notation]] for a dual pairing. In this notation, Stokes' theorem reads as

			:<math>\langle \mathrm{d} \omega \| M \rangle = \langle \omega \| \partial M \rangle.</math>

			In finite element analysis, the first stage is often the approximation of the domain of interest by a [[triangulation (topology)\|triangulation]], ''T''. For example, a curve would be approximated as a union of straight line segments; a surface would be approximated by a union of triangles, whose edges are straight line segments, which themselves terminate in points. Topologists would refer to such a construction as a [[simplicial complex]]. The boundary operator on this triangulation/simplicial complex ''T'' is defined in the usual way: for example, if ''L'' is a directed line segment from one point, ''a'', to another, ''b'', then the boundary ∂''L'' of ''L'' is the formal difference ''b'' − ''a''.

			A ''k''-form on ''T'' is a linear operator acting on ''k''-dimensional subcomplexes of ''T''; e.g., a 0-form assigns values to points, and extends linearly to linear combinations of points; a 1-form assigns values to line segments in a similarly linear way. If ''S'' is a (''k'' + 1)-dimensional subcomplex of ''T'' and ''ω'' is a ''k''-form on ''T'', then the '''discrete exterior derivative''' d''ω'' of ''ω'' is the unique (''k'' + 1)-form defined so that Stokes' theorem holds:

			:<math>\langle \mathrm{d} \omega \| S \rangle = \langle \omega \| \partial S \rangle.</math>

			Other concepts such as the discrete [[wedge product]] and the discrete [[Hodge star]] can also be defined.

			==See also==
			*[[Discrete differential geometry]]
			*[[Discrete Morse theory]]
			*[[Topological combinatorics]]

			==References==
			*[http://multires.caltech.edu/~keenan/pdf/DGPDEC.pdf SIGGRAPH 2013 Course Notes]
			*[http://www.springer.com/computer/image+processing/book/978-1-84996-289-6 Discrete Calculus], Grady, Leo J., Polimeni, Jonathan R., ISBN 978-1-84996-289-6, 2010
			*[http://math.berkeley.edu/~pugh/colloquium_abstracts/harrison.html Discrete Exterior Calculus with Convergence to the Smooth Continuum]
			*[http://etd.caltech.edu/etd/available/etd-05202003-095403/unrestricted/thesis_hirani.pdf Hirani Thesis on Discrete Exterior Calculus]
			*[http://link.aip.org/link/doi/10.1063/1.2830977 On geometric discretization of elasticity], Arash Yavari, J. Math. Phys. 49, 022901 (2008), DOI:10.1063/1.2830977

			[[Category:Finite element method]]
			[[Category:Multilinear algebra]]

en>Phil Boswell: convert dodgy URL to ID using AWB

2012-07-17T08:26:57Z

convert dodgy URL to ID using AWB

New page

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