Hessian matrix - Revision history

en>Tovrstra: /* Bordered Hessian */ Fix typo

2014-12-09T04:42:36Z

Bordered Hessian: Fix typo

← Older revision		Revision as of 06:42, 9 December 2014
Line 1:		Line 1:
	~~== Chixuedongfu北築山、秦ゆう正ボレースタンド ==~~		Gain access to it in excel, copy-paste this continued plan towards corpuscle B1. A person have again access an almost all time in abnormal wearing corpuscle A1, the mass fast in treasures will come to the forefront in B1.<br><br>

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	~~== は '周フオは、これはあなたの土地の力とは ==~~

	~~そのパワーのライブこの雷起源。 '周フオはそれを信じることができなかった。~~<br><br>しかし、6盛黄とどのように秦ゆうqingpao知ることは、実際にそれ自体が第一級の無名Lingbaoです [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_14.php クリスチャンルブタンメンズ靴]。今まで霊の世界から生まれた、第一級の無名Lingbao壊れた状況がなかった [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン店舗]。沸騰文学101du [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_10.php クリスチャンルブタンブーツ].netへようこそ<br><br>結局のところ、あまりにもハードまでファーストクラスの無名Lingbao。<br><br>qingpao秦Yuの身体の防御、自然に、非常に恐ろしい。そして......攻撃者はqingpao秦ゆうの断片化を行うことができたとしても、qingpao秦ゆう孟は冷ガスに変換することができます。<br><br>不滅！<br><br>は '周フオは、これはあなたの土地の力とは？紳士盛黄、あなたはハワードは私に対して一週間に秦ゆうに頼ることができると思いますか？'黒いローブは遠くないダン·シャオ秦ゆうから立っていたと述べたが、現時点では、黒のローブ秦ゆう片手で、それは神秘的な黄色の斑点がある古風な黒小銃、ライフル銃です。<br><br>雪の殺し屋、Lingbaoは、よりファーストクラスあいまいテロ雪の殺し屋より、秦Yuは最終的に出てきた [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_10.~~php クリスチャンルブタン銀座]。~~<br>~~攻撃 [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_4.php クリスチャンルブタンパンプス]？雪の神より~~<br>」
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	== ~~'DUANMUヒスイ数人がすぐに秦ゆうを開催しています~~ ==

	動き回る。<br><br>「秦ゆうの弟、お元気ですか？ [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_0.php クリスチャンルブタン] 'DUANMUヒスイ数人がすぐに秦ゆうを開催しています。<br>立ち上がるのは難しい<br>瞬間、秦Yuは、ステージを離れた後、秦ゆう損傷は印象的なスピードを修復することです [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタンサンダル]。<br><br>「私はまだ失敗しました。 [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタンパンプス] '秦ゆう本体はちょうど時間に第九十六層に、わずかに震えている、秦Yuは実際に落下したいのですが、秦Yuは、ちょうど岸に自分たちの生活を戦うが、 [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_4.php クリスチャンルブタン取扱店] 1レベルでは、彼は爆撃機が落下であることに異論はないだろう。<br><br>「ああ、その週に出ていた。「突然、誰かが声を出して言った。<br><br>秦Yuは私が彼の顔は週が希望的観測は私ペナルティ神殿から鋭利黒地を保持する、だった笑顔を見た、見たレイペナルティ寺の方向に向かって、まっすぐに、血液に口をオフに触れた。<br><br>第38章シニアレイペナルティリマインダー<br>誰もが見ている中で<br>、週など秦ゆう人もの人のグループが、その後見たはしごダウンステップを笑顔、両刃黒独り善がりを保持した、彼は笑って、オーバー歩いた [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_1.php クリスチャンルブタン店舗東京]。<br><br>'秦ゆう
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	~~== 黒い羽を見つめて~~ '~~秦ゆう ==~~

	~~黒い羽を見つめて~~ '秦ゆう。<br>江蘭への人々を充電するhuanhangrn、彼らは抵抗しない必要があります。そうでなければその意志秦ゆう長い黒い羽の直接収入は、これが最も安全な方法です [http://www.~~lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン値段]。~~<br><br>~~「良い」ブラックフェザーは答えた [http://www~~.~~lamartcorp.com/modules/mod_menu/rakuten_cl_2.php クリスチャンルブタン日本]。~~<br><br>「陛下、ロック元精錬火災前線は優れたレイアウトを持っています。「悪魔皇帝は丁重に言った。<br><br>マジック·ウォン鵬は満足してうなずいた： [http://www.~~lamartcorp.com/modules/mod_menu/rakuten_cl_11~~.php クリスチャンルブタンブーツ] '青が乾燥ホワイト·ウィンド、フロー図、、あなたの3を私と一緒に炎精錬ロック元に、二人は緑の子供ゆう不死を入力していない、それはそう、私たちがしたいそれを戦うと、私たちは彼らの願望を満たします。 [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_11.php クリスチャンルブタン偽物] '<br>炎を完全にそこに第三の黄色ライオン、イエローライオンサミットをカットユニークなマスクを洗練<br>ロック元。<br>~~炎を洗練~~<br>~~ロック元が消え、魔法の黄鵬は悪魔皇帝8~~ [http://~~www.lamartcorp~~.com~~/modules/mod_menu/rakuten_cl_5.php クリスチャンルブタンバッグ~~] 1 3つの白い風、フロー図を率い、青はそれに率直で乾かし、一時的にマスクしてから、再度正常に戻ってマスク、鵬黄マジック何スタンディング：。知る「ドライ青、あなたは金箔遠くマジック配列、青、乾燥、白い風、フローチャート、私としては、黒色の羽を担当するあなたの3 ......~~と秦ゆうが遊ぶことを持ち上げるために行く。 '~~
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en>Enyokoyama: Undid revision 595150033 by 129.241.10.211 (talk)revert vandalism. Why in Russian?

2014-02-12T15:39:16Z

Undid revision 595150033 by 129.241.10.211 (talk)revert vandalism. Why in Russian?

Show changes

en>Jason Quinn: +authorlink1

2014-01-25T06:22:38Z

+authorlink1

← Older revision		Revision as of 08:22, 25 January 2014
Line 1:		Line 1:
	~~Sammy~~ is ~~what you can get~~ in ~~touch with her~~ though ~~she doesn~~'~~t definitely like staying referred~~ to as ~~like that~~. ~~Because she~~ was [http://~~www~~.~~bing~~.com/~~search~~?q=~~eighteen+she%27s~~&~~form~~=~~MSNNWS~~&~~mkt~~=~~en-us~~&pq=~~eighteen~~+~~she~~%~~27s eighteen she'~~s] ~~been performing as a messenger~~ and ~~it is~~ a ~~little something she actually take pleasure in~~. ~~What her family~~ and ~~her appreciate is manner~~ and ~~now she has time to consider~~ on new ~~issues~~. ~~Arkansas~~ is ~~where~~ by ~~her residence~~ is. ~~See what~~'s ~~new~~ on ~~her~~ [http://~~search~~.~~Usa~~.~~gov~~/~~search~~?~~query~~=~~web~~-~~site web~~-~~site~~] ~~right here~~: http://www.~~primaboinca~~.com/~~view_profile~~.~~php~~?~~userid~~=~~4059179<br><br>Feel free to surf to my website; Salomon Schoenen Kopen (~~[http://www.~~primaboinca~~.~~com~~/~~view_profile~~.~~php?userid~~=~~4059179 their explanation~~])		{{redirect\|Cavalerius\|the lunar crater\|Cavalerius (crater)}}
			[[File:Bonaventura Cavalieri.jpeg\|thumb\|Bonaventura Francesco Cavalieri]]
			[[File:IMG 4064 - Milano, Palazzo di Brera - Cavalieri, Bonaventura - Foto Giovanni Dall'Orto 19-jan 2007.jpg\|thumb\|Monument to Cavalieri in [[Milan]].]]
			'''Bonaventura Francesco Cavalieri''' (in [[Latin]], '''Cavalerius''') (1598 – November 30, 1647) was an [[Italy\|Italian]] [[mathematics\|mathematician]]. He is known for his work on the problems of [[optics]] and [[motion (physics)\|motion]], work on the precursors of [[infinitesimal calculus]], and the introduction of [[logarithms]] to Italy. [[Cavalieri's principle]] in [[geometry]] partially anticipated [[integral calculus]].

			== Life ==
			Born in [[Milan]], Cavalieri studied [[theology]] in the [[monastery]] of San Gerolamo in Milan and [[geometry]] at the [[University of Pisa]] as a member of the [[Jesuates]] order.<ref>{{cite journal\|last=Eves\|first=Howard\|date=1981, edition consulted 1998\|title=Slicing it Thin\|work=Mathematical Recreations: A Collection in Honour of Martin Gardner\|pages=100\|publisher=Dover}}</ref> He published eleven books, his first being published in 1632. He worked on the problems of [[optics]] and [[motion (physics)\|motion]]. His [[astronomy\|astronomical]] and [[astrology\|astrological]] work remained marginal to these main interests, though his last book, ''Trattato della ruota planetaria perpetua'' (1646), was dedicated to the former. He was introduced to [[Galileo Galilei]] through academic and ecclesiastical contacts. [[Galileo]] exerted a strong influence on Cavalieri encouraging him to work on his new method and suggesting fruitful ideas, and Cavalieri would write at least 112 letters to Galileo. Galileo said of Cavalieri, "few, if any, since [[Archimedes]], have delved as far and as deep into the science of geometry." He also benefited from the patronage of [[Cesare Marsili]].<ref>[http://galileo.rice.edu/Catalog/NewFiles/cavaleri.html Cavalieri, Bonaventura], at The Galileo Project</ref>

			Cavalieri's first book was ''Lo Specchio Ustorio, overo, Trattato delle settioni coniche'', or ''The Burning Mirror, or a Treatise on Conic Sections''.<ref>[http://books.google.com/books?hl=en&lr=&id=ZX64AAAAIAAJ&oi=fnd&pg=PA1&dq=%22lo+specchio+ustorio%22&ots=CzX83kjdXO&sig=bZmh3XzXN2mWZdIa32OGlyypwEk Lo Specchio Ustorio, overo, Trattato delle settioni coniche]</ref> In this book he developed the theory of mirrors shaped into [[parabola]]s, [[hyperbola]]s, and [[ellipse]]s, and various combinations of these mirrors. The work was purely theoretical since the needed mirrors could not be constructed with the technologies of the time, a limitation well understood by Cavalieri.<ref>Stargazer, the Life and Times of the Telescope, by Fred Watson, [http://books.google.com/books?id=2LZZginzib4C&pg=PA134&dq=gregory+cassegrain+mersenne p. 135]</ref>

			Building on the classic [[method of exhaustion]], Cavalieri developed a geometrical approach to calculus and published a treatise on the topic, ''Geometria indivisibilibus continuorum nova quadam ratione promota'' (''Geometry, developed by a new method through the indivisibles of the continua,'' 1635). In this work, an area is considered as constituted by an indefinite number of parallel segments and a volume as constituted by an indefinite number of parallel planar areas. Such elements are called indivisibles respectively of area and volume and provide the building blocks of Cavalieri's method. As an application, he computed the areas under the curves <math>y=x^n</math> – an early [[integral]] – which is known as [[Cavalieri's quadrature formula]].


			Cavalieri is known for [[Cavalieri's principle]], which states that the [[volume]]s of two objects are equal if the areas of their corresponding cross-sections are in all cases equal. Two cross-sections correspond if they are intersections of the body with planes equidistant from a chosen base plane. (The same principle had been previously discovered by [[Zu Gengzhi]] (480–525) of [[China]].<ref name="needham volume 3 143">Needham, Joseph (1986). ''Science and Civilization in China: Volume 3; Mathematics and the Sciences of the Heavens and the Earth''. Taipei: Caves Books, Ltd. Page 143.) and was first documented in his book 'Zhui Su'(《[[:zh:缀术\|缀术]]》). This principle was also worked out by [[Shen Kuo]] in the 11th century.</ref>) Cavalieri developed a "method of the indivisibles," which he used to determine areas and volumes. It was a significant step on the way to modern [[infinitesimal calculus]].<ref>"[http://eom.springer.de/I/i050950.htm Infinitesimal calculus]", Encyclopaedia of Mathematics</ref>

			Cavalieri also constructed a [[hydraulics\|hydraulic pump]] for his monastery and published tables of [[logarithm]]s, emphasizing their practical use in the fields of astronomy and [[geography]]. He died at [[Bologna]].

			Cavalieri takes place alongside [[Isaac Newton\|Newton]], [[Gottfried Leibniz\|Leibniz]], [[Blaise Pascal\|Pascal]], [[John Wallis\|Wallis]] and [[Colin Maclaurin\|MacLaurin]] as one of those who in the 17th and 18th centuries "redefine[d] the mathematical object".<ref>{{fr icon}} [[Gilles-Gaston Granger]], ''Formes, opérations, objets'', Vrin, 1994, p. 365 [http://books.google.ca/books?id=EuIjwu5avPcC&pg=PA365&lpg=PA365#v=onepage&f=false Online quotation]</ref>

			The [[lunar crater]] [[Cavalerius (crater)\|Cavalerius]] is named for Cavalieri.

			== Bibliography ==
			* [http://books.google.ca/books?id=zRwAAAAAQAAJ&printsec=frontcover&hl=fr#v=onepage&q&f=false Elogj di Galileo Galilei e di Bonaventura Cavalieri] by Giuseppe Galeazzi, Milan, 1778
			* [http://books.google.ca/books?id=I-eaNAAACAAJ&dq=%22Bonaventura+Cavalieri%22&hl=fr&sa=X&ei=eJMzT-XkHcT50gHK9P3WAg&redir_esc=y Bonaventura Cavalieri] by Antonio Favaro, vol. 31 of ''Amici e corrispondenti di Galileo Galilei'', C. Ferrari, 1915, 767 p.

			==See also==
			*[[List of Roman Catholic scientist-clerics]]

			== Notes ==
			<references/>

			== References ==
			*[http://galileo.rice.edu/Catalog/NewFiles/cavaleri.html The Galileo Project: Cavalieri]

			==External links==
			* Online texts by Cavalieri:
			** {{la icon}} ''[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=/mpiwg/online/permanent/library/05TCTFNR/pageimg&start=1&pn=1&mode=imagepath Geometria Indivisibilibus]'' (Online 1653 edition, 543 p.)
			** {{it icon}} '' [http://books.google.ca/books?id=ZX64AAAAIAAJ&ots=CzX83kjdXO&dq=%22lo%20specchio%20ustorio%22&lr&pg=PP5#v=onepage&q&f=false Lo specchio ustorio: overo, Trattato delle settioni coniche...]''
			** {{la icon}} ''[http://books.google.ca/books?id=_742AAAAMAAJ&printsec=frontcover&sa=X&ei=vIwzT9O6Lau10AGFlNG7Ag&redir_esc=y#v=onepage&q&f=false Directorium generale uranometricum]''
			** {{it icon}} ''[http://books.google.ca/books?id=zpIoAAAAcAAJ&hl=fr&pg=PR3#v=onepage&q&f=false Sfera astronomica]''
			** {{it icon}} See also [[Wikisource]]
			* Biographies:
			** {{MacTutor Biography\|id=Cavalieri}}
			** [http://www.bookrags.com/research/bonaventura-cavalieri-scit-03123/ Short biography on bookrags.com]
			** {{la icon}} {{cite journal
			\| last1 = Fabroni
			\| first1 = Angelo
			\| authorlink1 = Angelo Fabroni\| editor-first = \| editor-link = \| date =
			\| year = 1778
			\| title = Bonaventura Cavalerius
			\| journal = Vitae Italorum doctrina excellentium qui saeculis XVII. et XVIII. floruerunt \| volume = I
			\| pages = 262–301
			\| location = Pisa \| publisher =
			\| language = \| format = \| id =
			\| oclc = \| pmid = \| pmc = \| bibcode = \| doi =
			\| accessdate = 2012-02-08
			\| url = http://books.google.ca/books?id=wVkwAAAAYAAJ&pg=PA262#v=onepage&q&f=false
			}}
			* Modern mathematical or historical research:
			** [http://eom.springer.de/I/i050950.htm Infinitesimal Calculus] On its historical development, in [[Encyclopaedia of Mathematics]], [[Michiel Hazewinkel]] ed.
			** {{de icon}} [http://www.dividano.de/prinzip-von-cavalieri.html More information about the method of Cavalieri]
			** [http://researchspace.csir.co.za/dspace/bitstream/10204/5267/1/Grobler5_2011.pdf Cavalieri Integration]

			{{Authority control\|VIAF=44324467}}

			{{wikisourcelang\|it\|Autore:Bonaventura_Cavalieri\|Bonaventura Cavalieri}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Cavalieri, Bonaventura
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = Italian mathematician and astronomer
			\| DATE OF BIRTH = 1598
			\| PLACE OF BIRTH =
			\| DATE OF DEATH = November 30, 1647
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Cavalieri, Bonaventura}}
			[[Category:1598 births]]
			[[Category:1647 deaths]]
			[[Category:16th-century Italian mathematicians]]
			[[Category:17th-century Italian mathematicians]]
			[[Category:Italian astronomers]]
			[[Category:University of Pisa alumni]]
			[[Category:Roman Catholic cleric–scientists]]

en>JYBot: r2.7.1) (Robot: Adding nn:Hesse-determinanten

2012-08-25T05:17:44Z

r2.7.1) (Robot: Adding nn:Hesse-determinanten

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