Kernel density estimation - Revision history

129.254.87.43: /* Relation to the characteristic function density estimator */

2014-11-27T05:46:51Z

Relation to the characteristic function density estimator

en>NickPenguin: no consensus to merge

2014-03-03T19:37:49Z

no consensus to merge

← Older revision		Revision as of 21:37, 3 March 2014
Line 1:		Line 1:
	~~In [[mathematics]]~~, the ~~'''Volterra integral equations''' are a special type of [[integral equation]]s~~. ~~They are divided into two groups referred~~ to as the ~~first and the second kind.~~		Bryan is a superstar while in the generating as well as the occupation progress initially next to his 3rd resort record, And , is definitely the resistant. He burst to the picture in 2004 regarding his funny mixture of down-home accessibility, movie superstar excellent appearance and lines, is scheduled t in the main way. The newest record Top in the nation graph or chart and #2 about the burst graphs, creating it the 2nd top debut during those times of 2015 for any region musician. <br><br><br><br>The child of any , knows persistence and determination are key elements in terms of an excellent profession- . His initially album, Stay Me, made the very best hits “All My Friends Say” and [http://lukebryantickets.neodga.com luke bryan tickets dallas] “Country Guy,” [http://lukebryantickets.lazintechnologies.com luke bryan luke bryan tour] although his effort, Doin’ Thing, found the artist-three straight No. 5 single people: Else Getting in touch with Can be a Wonderful Issue.”<br><br>Within the tumble of 2015, Tour: Bryan & that had an outstanding set of , including Downtown. “It’s almost like you are obtaining a acceptance to [http://lukebryantickets.flicense.com where is luke bryan] visit to the next level, states individuals artists that have been a part of the Concert toursmore than right into a bigger degree of artists.” It wrapped among the best organized tours within its ten-year history.<br><br>Also visit my web-site - luke bryan tickets 2013; [http://www.hotelsedinburgh.org http://www.hotelsedinburgh.org],

	~~A linear Volterra equation~~ of ~~the first kind is~~

	~~:<math> f(t) = \int_a^t K(t~~,~~s)\,x(s)\~~,~~ds</math>~~

	~~where ''&fnof;''~~ is ~~a given function and ''x'' is an unknown function to be solved for~~. ~~A linear Volterra equation of~~ the ~~second kind is~~

	~~:<math> x(t) = f(t) + \int_a^t K(t,s)x(s)\,ds. </math>~~

	~~In [[operator theory]],~~ and ~~in [[Fredholm theory]]~~, the ~~corresponding equations are called the [[Volterra operator]]~~.

	~~A linear Volterra integral equation is a [[convolution]] equation if~~

	:<~~math~~> ~~x(t) = f(t) + \int_{t_0}^t K(t-s)x(s)\,ds.~~ <~~/math~~>

	~~The function~~ <~~math~~> K <~~/math~~> ~~in the integral is often called the [[kernel (linear algebra)\|kernel]].~~
	~~Such equations can be analysed and solved by means~~ of ~~[[Laplace transform]] techniques.~~

	~~The Volterra integral equations were introduced by [[Vito Volterra]]~~ and ~~then studied by [[Traian Lalescu]]~~ in ~~his 1908 thesis, ''Sur les équations de Volterra'', written under the direction~~ of ~~[[Charles Émile Picard\|Émile Picard]]~~. ~~In 1911~~, ~~Lalescu wrote the first book ever on integral equations.~~

	~~Volterra integral equations find application in [[demography]]~~, the ~~study of [[viscoelastic]] materials,~~
	and in [~~[Actuarial mathematics\|insurance mathematics]] through the [[renewal equation]]~~.

	~~==References==~~
	*Traian Lalescu, ''Introduction à la théorie des équations intégrales. ~~Avec une préface de É. Picard''~~, [~~[Paris]]~~: ~~[[Hermann (publishing house)\|A~~. ~~Hermann et Fils]~~], ~~1912~~. ~~VII + 152 pp~~.
	*{{springer\|title=Volterra equation\|id=p/v096840}}
	*{{MathWorld\|title=Volterra Integral Equation of ~~the First Kind~~
	~~\|urlname=VolterraIntegralEquationoftheFirstKind}}~~
	*{{MathWorld\|title=Volterra Integral Equation of ~~the Second Kind~~
	~~\|urlname=VolterraIntegralEquationoftheSecondKind}}~~
	*[http://~~eqworld~~.~~ipmnet~~.~~ru/en/solutions/ie.htm Integral Equations: Exact Solutions~~] ~~at EqWorld: The World~~ of ~~Mathematical Equations~~
	*{{Cite book \| last1=Press \| first1=WH \| last2=Teukolsky \| first2=SA \| last3=Vetterling \| first3=WT \| last4=Flannery \| first4=BP \| year=2007 \| title=Numerical Recipes: The Art of ~~Scientific Computing \| edition=3rd \| publisher=Cambridge University Press \|~~ ~~publication~~-~~place=New York \| isbn=978~~-0-~~521-88068-8 \| chapter=Section 19.2. Volterra Equations \| chapter-url=~~http://~~apps~~.~~nrbook~~.~~com~~/~~empanel~~/~~index~~.~~html#pg=992}}~~

	~~[[Category:Integral equations]]~~
	~~[[Category:Mathematical analysis]~~]

en>BD2412: /* Statistical implementation */Fixing links to disambiguation pages, improving links, other minor cleanup tasks using AWB

2013-12-21T19:30:49Z

Statistical implementation: Fixing links to disambiguation pages, improving links, other minor cleanup tasks using AWB

← Older revision		Revision as of 21:30, 21 December 2013
Line 1:		Line 1:
	~~Last week I woke up and noticed - Now I~~'~~ve been solitary for some time and after much bullying from pals I now locate myself opted for web dating~~. They ~~guaranteed me that there~~ are ~~lots~~ of ~~ordinary~~, ~~sweet~~ and ~~enjoyable folks~~ to ~~meet up~~, ~~therefore here goes the toss!~~<br>~~I strive to keep as~~ [~~http~~://~~www~~.~~ehow~~.~~com/search~~.~~html?s=physically+fit physically fit~~] ~~as potential coming to~~ the ~~gymnasium several-times a week. I love my athletics~~ and ~~try to play or view as many a potential~~. ~~Being wintertime I~~'~~ll often at Hawthorn fits~~. ~~Note~~: ~~I have seen luke bryan ticket sale dates~~ ([http://~~lukebryantickets~~.~~sgs-suparco~~.~~org lukebryantickets~~.~~sgs-suparco.org~~]~~) the carnage~~ of ~~wrestling suits at stocktake revenue, In case that you contemplated purchasing a sport I really do not brain~~.~~<br>My family and buddies are awesome and hanging out together at pub gigs or dishes is always a must~~. ~~I haven't ever been into cabarets as I locate that you can never have a significant dialog using the noise. I also have two very cute and undoubtedly cheeky canines that are invariably eager to [~~http://~~lukebryantickets~~.~~asiapak~~.~~net meet and greet tickets luke bryan] meet new folks~~.~~<br><br>Also visit my weblog~~: [~~http~~:~~//www.ffpjp24.org luke bryan live concert~~]		In [[mathematics]], the '''Volterra integral equations''' are a special type of [[integral equation]]s. They are divided into two groups referred to as the first and the second kind.

			A linear Volterra equation of the first kind is

			:<math> f(t) = \int_a^t K(t,s)\,x(s)\,ds</math>

			where ''&fnof;'' is a given function and ''x'' is an unknown function to be solved for. A linear Volterra equation of the second kind is

			:<math> x(t) = f(t) + \int_a^t K(t,s)x(s)\,ds. </math>

			In [[operator theory]], and in [[Fredholm theory]], the corresponding equations are called the [[Volterra operator]].

			A linear Volterra integral equation is a [[convolution]] equation if

			:<math> x(t) = f(t) + \int_{t_0}^t K(t-s)x(s)\,ds. </math>

			The function <math> K </math> in the integral is often called the [[kernel (linear algebra)\|kernel]].
			Such equations can be analysed and solved by means of [[Laplace transform]] techniques.

			The Volterra integral equations were introduced by [[Vito Volterra]] and then studied by [[Traian Lalescu]] in his 1908 thesis, ''Sur les équations de Volterra'', written under the direction of [[Charles Émile Picard\|Émile Picard]]. In 1911, Lalescu wrote the first book ever on integral equations.

			Volterra integral equations find application in [[demography]], the study of [[viscoelastic]] materials,
			and in [[Actuarial mathematics\|insurance mathematics]] through the [[renewal equation]].

			==References==
			*Traian Lalescu, ''Introduction à la théorie des équations intégrales. Avec une préface de É. Picard'', [[Paris]]: [[Hermann (publishing house)\|A. Hermann et Fils]], 1912. VII + 152 pp.
			*{{springer\|title=Volterra equation\|id=p/v096840}}
			*{{MathWorld\|title=Volterra Integral Equation of the First Kind
			\|urlname=VolterraIntegralEquationoftheFirstKind}}
			*{{MathWorld\|title=Volterra Integral Equation of the Second Kind
			\|urlname=VolterraIntegralEquationoftheSecondKind}}
			*[http://eqworld.ipmnet.ru/en/solutions/ie.htm Integral Equations: Exact Solutions] at EqWorld: The World of Mathematical Equations
			*{{Cite book \| last1=Press \| first1=WH \| last2=Teukolsky \| first2=SA \| last3=Vetterling \| first3=WT \| last4=Flannery \| first4=BP \| year=2007 \| title=Numerical Recipes: The Art of Scientific Computing \| edition=3rd \| publisher=Cambridge University Press \| publication-place=New York \| isbn=978-0-521-88068-8 \| chapter=Section 19.2. Volterra Equations \| chapter-url=http://apps.nrbook.com/empanel/index.html#pg=992}}

			[[Category:Integral equations]]
			[[Category:Mathematical analysis]]

71.141.120.6: /* Example in R */

2012-08-28T19:26:19Z

Example in R

New page

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