Ridders' method: Difference between revisions

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'''René François Walter de Sluse''' (1622–1685) was a [[French people|French]] [[mathematician]], [[intellectual]] and [[clergyman]] who wrote many books about mathematics and contributed to the development of the subject.
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He studied at a university in [[Rome]], and later moved to [[Liège]].  His position in the church prevented him from visiting other mathematicians, but he corresponded with the mathematicians and intellectuals of the day.
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==Mathematical work==
Sluse contributed to the development of calculus and this work focuses upon [[spirals]], [[tangents]], turning points and points of [[inflection]]. He and [[Johannes Hudde]] found algebraic algorithms for finding [[tangent]]s, minima and maxima that were later utilized by [[Isaac Newton]]. These algorithms greatly improved upon the complicated algebraic methods of [[Pierre de Fermat]] and [[René Descartes]], who themselves had improved upon [[Gilles de Roberval|Roberval's]] kinematic, but geometric, non-algorithmic methods of determining tangents.<ref>{{cite web|last=Allen|first=G. Donald|title=Early Calculus and Probability |url=http://www.math.tamu.edu/~dallen/history/precalc/precalc.html|publisher=Texas A&M University|accessdate=9 December 2013|date=April 2, 1997}}</ref>
 
[[Augustus De Morgan]] has the following to say about de Sluse's contribution to Newton's [[method of Fluxions]] in his discussion of the [[Leibniz–Newton calculus controversy]].
 
<blockquote>
When they state that [[John Collins (mathematician)|Collins]] had been four years in circulating the letter in which the method of fluxions was sufficiently described to any intelligent person, they suppress two facts: first, that the letter itself was in consequence of Newton's learning that Sluse had a method of tangents; secondly, that it revealed no more than Sluse had done. ...this method of Sluse is never allowed to appear ...Sluse wrote an account of the method which he had previously signified to Collins, for the Royal Society, for whom it was printed. The rule is precisely that of Newton... To have given this would have shown the world that the grand communication which was asserted to have been sent to Leibniz in June 1676 might have been seen in print, and learned from Sluse, at any time in the previous years: accordingly it was buried under reference. ...Leibniz had seen Hudde at Amsterdam, and had found that Hudde was in possession of even more than Sluse.<ref>Augustus De Morgan, [http://books.google.com/books?id=SPTvAAAAIAAJ& ''Essays on the Life and Work of Newton''] (1914)</ref>
</blockquote>
 
There is a family of curves named after de Sluse:  the curves represented by the following equation with positive integer values of ''m'', ''n'' and ''p'':
:<math>y^n = k(a - x)^px^m </math>
 
==Other work==
He also wrote in the subject areas of [[life science]], [[physics]], [[history]] and [[theology]].
 
==See also==
*[[List of Roman Catholic scientist-clerics]]
 
==References==
{{reflist}}
*Hofmann, Joseph Ehrenfried (1959). ''Classical Mathematics''. Translated from the German ''Geschichte der Mathematik'' by Henrietta O. Midonick.  New York: Philosophical Library Inc., p.&nbsp;34.
*John J. O'Connor and Edmund F. Robertson, [http://www-history.mcs.st-andrews.ac.uk/Biographies/Sluze.html René François Walter de Sluze], [[MacTutor History of Mathematics archive]].
*[http://www.wallonie-en-ligne.net/1995_Wallonie_Atouts-References/1995_ch09-1_Halleux-R_Bernes-A-C_Etienne-L.htm L'évolution des sciences et des techniques en Wallonie] ('''''French''''').
 
{{Authority control|VIAF=57760529}}
 
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME              = Sluse, Rene Francois Walter De
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = French mathematician
| DATE OF BIRTH    = 1622
| PLACE OF BIRTH    =
| DATE OF DEATH    = 1685
| PLACE OF DEATH    =
}}
{{DEFAULTSORT:Sluse, Rene Francois Walter De}}
[[Category:1622 births]]
[[Category:1685 deaths]]
[[Category:17th-century French mathematicians]]
[[Category:Roman Catholic cleric–scientists]]
 
[[fr:René François Walter de Sluse]]

Latest revision as of 17:41, 31 March 2014

It's April 14 and the Sony PSN or PlayStation Community down standing mills about. And whereas the service struggles to rise up and back online, a personal letter to PS3 publishers leaked into the general public area.

This nude celeb hacking scandal started in 2010, and the most recent experiences say that the FBI is closing in on the hackers accountable. The issue is, somebody else will most likely take over if one is caught. These nude leaked pictures of celebs are obviously large cash makers. It's unhappy that Scarlett Johansson has been focused by hackers so many occasions. Clearly it is a part of being famous, however it isn't one of the good parts.

On Wednesday, April 20, the world got its first inkling of bother when Sony took its PSN and Qriocity community offline. That day Sony even issued a statement that said, “We're conscious sure capabilities of PlayStation Community are down. We'll report again right here as quickly as we will with extra data.” The factor that has people actually indignant is that Sony actually knew that the hack had occurred right now, but they didn't let individuals know in order that they could take precautions.

On April 21, the corporate announced that the PSN would be again up in a day or two after the investigation was complete. On April 22, Sony introduced its PS3 PlayStation Community had been hacked, however it did not provide any extra info. Individuals turned concerned at this point. On April 23, the company announced it wanted to rebuild its community after the hack. Individuals started to get involved that this hack was vital if the network needed to be rebuilt.

Jan. 25, 2006 ?C Archer and Hunter construct revised. Since patch16, Wizet/NXGames revised expertise to regularly increase in MP instead of abruptly doubling. So this means no extra saving points! Updated the sites this FAQ should seem on. Feb. four , 2006 ?C I redid the non-FA ability construct after experimenting with the points by myself character and developing with an excellent SA/Booster build. I also modified the FA build a little bit on the finish. After I hit 70, I am gonna put an excellent third job build up here. (At present stage 65) Though Forest of Golem is a good spot afterward, you can strive it between 60 and 70, and also you might prefer it. With out Arrow Rain you might need bother or get flustrated though. Good drops, very fast spawn. Cloud Park VI (Lunar Pixies, Luster Pixies)

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