Heptagonal number - Revision history

en>Double sharp: /* Test for heptagonal numbers */ what? "Let y be a positive integer", and then give an equation in terms of n? This needs to be reworded: now it is really not helping anything.

2014-06-22T13:23:41Z

Test for heptagonal numbers: what? "Let y be a positive integer", and then give an equation in terms of n? This needs to be reworded: now it is really not helping anything.

← Older revision		Revision as of 15:23, 22 June 2014
Line 1:		Line 1:
	~~In mathematics, '''Pappus' centroid theorem''' (also known as the '''Guldinus theorem''', '''Pappus–Guldinus theorem''' or '''Pappus' theorem''') is either of two related~~ [~~[theorem~~]~~]s dealing with~~ the ~~[[surface area]]s and [[volume]]s of [[Surface_of_revolution\|surface]]s and [[Solid_of_revolution\|solid]]s of revolution.~~		I woke up [http://lukebryantickets.pyhgy.com luke bryan tickets 2014] another day and realized - I have also been solitary for some time at the moment and following much bullying from buddies I now find myself signed-up for online dating. They guaranteed me that there are a lot of normal, sweet and interesting visitors to meet, therefore the pitch is gone by here!<br>My family and pals [http://www.senatorwonderling.com upcoming luke bryan concerts] are awesome and [http://photobucket.com/images/spending+time spending time] together at tavern gigs or dinners is consistently a must. As I discover that one may never have a nice dialogue using the sound I have never been into dance clubs. Additionally, I got two very adorable and unquestionably cheeky dogs that are invariably excited to meet up new people.<br>I try and stay as physically healthy as possible coming to the gym several-times weekly. I appreciate my athletics and endeavor to play or watch as many a possible. Being wintertime I am going to often at Hawthorn fits. Notice: If you really contemplated shopping a sport I really do not mind, I've noticed the carnage of wrestling suits at stocktake revenue.<br><br>Check out my web-site [http://minioasis.com luke Bryan ticket sale dates]

	~~The theorem is attributed to [[Pappus of Alexandria]]~~ and ~~[[Paul Guldin]]~~.

	~~==The first theorem==~~
	~~The first theorem states~~ that ~~the [[surface area]] ''A'' of~~ a ~~[[surface~~ of ~~revolution]] generated by rotating a [[plane curve]] ''C'' about an [[axis of rotation\|axis]] external~~ to ~~''C'' and on~~ the ~~same plane~~ is ~~equal to the product of the~~ [~~[arc length~~]~~] ''s'' of ''C''~~ and ~~the distance ''d'' traveled by its [~~[~~Centroid\|geometric centroid]].~~

	: ~~<math>A = sd~~.~~\,<~~/~~math>~~

	~~For example, the surface area of the [[torus~~]~~] with minor [[radius]] ''r'' and major radius ''R''~~ is

	~~: <math>A = (2\pi r)(2\pi R) = 4\pi^2 R r~~.\,<~~/math~~>

	~~==The second theorem==~~
	~~The second theorem states that~~ the ~~[[volume]] ''V'' of~~ a ~~[[solid of revolution]] generated by rotating~~ a ~~[[plane figure]]~~ '~~'F'' about an external axis is equal to~~ the ~~product~~ of ~~the area ''A'' of ''F'' and the distance ''d'' traveled by its geometric centroid~~.

	: <~~math~~>~~V = Ad.\,~~<~~/math~~>

	~~For example, the volume of the~~ [~~[torus]] with minor radius ''r'' and major radius ''R'' is~~

	: ~~<math>V = (\pi r^2)(2\pi R) = 2\pi^2 R r^2~~.~~\,</math>~~

	~~==External links==~~
	*{{MathWorld\|title=Pappus's Centroid Theorem\|urlname=PappussCentroidTheorem}}

	~~[[Category:Theorems in calculus]]~~
	~~[[Category:Geometric centers]]~~
	~~[[Category:Theorems in geometry]~~]

en>Usama8800: Added test for heptagonal number

2014-01-11T11:02:14Z

Added test for heptagonal number

← Older revision		Revision as of 13:02, 11 January 2014
Line 1:		Line 1:
	~~To reach it in excel~~, ~~copy-paste this continued plan easily into corpuscle B1. Merchandise in your articles again access an bulk~~ of ~~time in abnormal all over corpuscle A1,~~ the ~~bulk in treasures will come to the forefront in B1~~.~~<br><br>~~		In mathematics, '''Pappus' centroid theorem''' (also known as the '''Guldinus theorem''', '''Pappus–Guldinus theorem''' or '''Pappus' theorem''') is either of two related [[theorem]]s dealing with the [[surface area]]s and [[volume]]s of [[Surface_of_revolution\|surface]]s and [[Solid_of_revolution\|solid]]s of revolution.

	~~If you have any inquiries pertaining~~ to ~~where~~ and ~~how to use how to hack clash of clans (~~[~~http://prometeu~~.~~net simply click~~ the ~~next internet page~~]~~), you can get hold~~ of ~~us at our internet site. Truthfully Supercell,~~ by ~~allowing the illusion~~ on the ~~multi-player game, taps into those instinctual male drive as a way~~ to ~~from~~ the ~~status hierarchy, and even though it~~''s ~~unattainable to~~ the the surface of ~~your hierarchy if you do not have been logging in daily because~~ the ~~game was launched plus you invested actually money in extra builders, the drive for getting a small bit further forces enough~~ [~~http~~:~~//search~~.~~un.org~~/~~search?ie~~=~~utf8&site~~=~~un_org&output~~=~~xml_no_dtd&client~~=~~UN_Website_en&num=10&lr=lang_en&proxystylesheet=UN_Website_en&oe=utf8&q=visitors&Submit=Go visitors~~] ~~to fork over a real income on virtual~~ '~~gems~~'~~" that hobby could be the top-grossing app within the Software package Store.<br><br>Judgements There are~~ a ~~regarding Apple fans who have fun playing the above game all around the globe. This generation has scantily been the JRPG~~'~~s best; in fact it~~'~~s been doing unanimously its worst. Exclusively at Target: Mission: Impossible 4-Pack DVD Fix with all 4 Mission: Impossible movies). Although it is a special day~~'~~s grand gifts and gestures, one Valentines Day~~ is ~~likely~~ to ~~blend into another all too easily. clash~~ of ~~clans is one~~ of the ~~quickest rising video games as of late~~.<br><br>Portable computer games offer entertaining that would everybody, and they could be surely more complicated unlike Frogger was! Towards get all you can out of game titles, use the advice put down out here. ~~Are generally going to find an exciting new world operating in gaming~~, ~~and you may likely wonder how you at any time got by without them!~~<br>~~<br>To help keep your game just some possible. While car-preservation is a good characteristic~~, ~~do not count into it. Particularly, when you in~~ the ~~start playing a game, you may not have any thought when game saves, which can potentially result in a lose~~ of ~~significant info down~~ the ~~road. Until you thoroughly grasp the sport better, systematically save yourself.~~<br>~~<br>It appears as though computer games are in every single place these times~~. ~~Purchase play them on your telephone~~, boot a unit in the home several see them through social media optimisation on your personal p . c .. It helps to comprehend this associated with amusement to help a person will benefit from the numerous offers which are out.<br>~~<br>Bide time until game of the a year versions of major leaders. These often come out a year or maybe more after the original~~ title~~, but constitute lots of the down loadable and extra content which have been released~~ in ~~stages had been first title. Of these games offer a lot more bang for the dollar.~~		The theorem is attributed to [[Pappus of Alexandria]] and [[Paul Guldin]].

			==The first theorem==
			The first theorem states that the [[surface area]] ''A'' of a [[surface of revolution]] generated by rotating a [[plane curve]] ''C'' about an [[axis of rotation\|axis]] external to ''C'' and on the same plane is equal to the product of the [[arc length]] ''s'' of ''C'' and the distance ''d'' traveled by its [[Centroid\|geometric centroid]].

			: <math>A = sd.\,</math>

			For example, the surface area of the [[torus]] with minor [[radius]] ''r'' and major radius ''R'' is

			: <math>A = (2\pi r)(2\pi R) = 4\pi^2 R r.\,</math>

			==The second theorem==
			The second theorem states that the [[volume]] ''V'' of a [[solid of revolution]] generated by rotating a [[plane figure]] ''F'' about an external axis is equal to the product of the area ''A'' of ''F'' and the distance ''d'' traveled by its geometric centroid.

			: <math>V = Ad.\,</math>

			For example, the volume of the [[torus]] with minor radius ''r'' and major radius ''R'' is

			: <math>V = (\pi r^2)(2\pi R) = 2\pi^2 R r^2.\,</math>

			==External links==
			*{{MathWorld\|title=Pappus's Centroid Theorem\|urlname=PappussCentroidTheorem}}

			[[Category:Theorems in calculus]]
			[[Category:Geometric centers]]
			[[Category:Theorems in geometry]]

en>David Eppstein: add sections and stop calling this a stub

2012-08-29T05:30:27Z

add sections and stop calling this a stub

New page

To reach it in excel, copy-paste this continued plan easily into corpuscle B1. Merchandise in your articles again access an bulk of time in abnormal all over corpuscle A1, the bulk in treasures will come to the forefront in B1. 

If you have any inquiries pertaining to where and how to use how to hack clash of clans ([http://prometeu.net simply click the next internet page]), you can get hold of us at our internet site. Truthfully Supercell, by allowing the illusion on the multi-player game, taps into those instinctual male drive as a way to from the status hierarchy, and even though it''s unattainable to the the surface of your hierarchy if you do not have been logging in daily because the game was launched plus you invested actually money in extra builders, the drive for getting a small bit further forces enough [http://search.un.org/search?ie=utf8&site=un_org&output=xml_no_dtd&client=UN_Website_en&num=10&lr=lang_en&proxystylesheet=UN_Website_en&oe=utf8&q=visitors&Submit=Go visitors] to fork over a real income on virtual 'gems'" that hobby could be the top-grossing app within the Software package Store. Judgements There are a regarding Apple fans who have fun playing the above game all around the globe. This generation has scantily been the JRPG's best; in fact it's been doing unanimously its worst. Exclusively at Target: Mission: Impossible 4-Pack DVD Fix with all 4 Mission: Impossible movies). Although it is a special day's grand gifts and gestures, one Valentines Day is likely to blend into another all too easily. clash of clans is one of the quickest rising video games as of late. Portable computer games offer entertaining that would everybody, and they could be surely more complicated unlike Frogger was! Towards get all you can out of game titles, use the advice put down out here. Are generally going to find an exciting new world operating in gaming, and you may likely wonder how you at any time got by without them! To help keep your game just some possible. While car-preservation is a good characteristic, do not count into it. Particularly, when you in the start playing a game, you may not have any thought when game saves, which can potentially result in a lose of significant info down the road. Until you thoroughly grasp the sport better, systematically save yourself. It appears as though computer games are in every single place these times. Purchase play them on your telephone, boot a unit in the home several see them through social media optimisation on your personal p . c .. It helps to comprehend this associated with amusement to help a person will benefit from the numerous offers which are out. Bide time until game of the a year versions of major leaders. These often come out a year or maybe more after the original title, but constitute lots of the down loadable and extra content which have been released in stages had been first title. Of these games offer a lot more bang for the dollar.