Bioavailability - Revision history

195.56.82.2: Fixed typo

2014-11-13T16:12:15Z

Fixed typo

← Older revision		Revision as of 18:12, 13 November 2014
Line 1:		Line 1:
	~~[[File:Deltoid2.gif\|right\|thumb\|500px\|The red curve is a deltoid.]]~~		When these ligaments are torn, they will fall and make the penis appear better hung. However, there has been recorded a steady decline in the total number of circumcisions performed in America, and not only. A man’s virility used to find out his placement from the culture inside earlier instances and never much has modified since then a man using a little penis is often ridiculed within the culture. Moreover, since it's an herbal product, there are no side effects which are a regular feature in the other commercial products. Men are always worried about their erections because men have problems in getting full erections. <br><br>Some ingredients Extenze consists of include Ginkgo Biloba, L-Arginine, Yohimbe root, Tribulus, Maca extract, Mura Puama, and Zinc. In another study, researchers had women read erotic literatures and asked to rate them on the eroticism of the passages. L-Carnitine is well tolerated as a supplement and associated with few side effects. It\'s normal to be involved about what the real results of the products will be (in other phrases, will it really get the job done. Traditional and conventional way of penis enhancements like, pills, ointments, creams, and even surgery, may bring certain side-effects that can harm not only your valuable organ, but it can also affect your overall well-being. <br><br>all of them have become successes in their own right. Hence, it is necessary to use only a well-qualified and experienced surgeon when it comes to penile matters. Also known as penis pills, these supplements combine traditional aphrodisiacs for the purpose of naturally increasing the flow of blood to your penis as well as boost fertility, improve stamina, increase your pleasure, and support overall sexual health. Teenagers are very conscious about the way they look because dating starts from adolescence. Are you happy with 2-3 minute Premature Ejaculation. <br><br>It is for this purpose that the feature of selecting a device that delivers comfort and ease are not able to be overly stressed. According to feedback from individuals who have tried this surgery, most detected little to no gains, thus this type of procedure is definitely not recommended. The muscle that you use to shut off the stream of urine is the PC muscle, and you need to strengthen it. The tensile force in the region changes the normal size of a penis by using weights and stretchers. Discovering more useful information through male enhancement product reviews online, including all the benefit that you can get for taking male enhancement product up to the testimonials and safety for using the male enhancer supplement online. <br><br>However, there are certain things that take time and privacy to do and these two requirements are not easy to come by in a lifestyle that keeps one constantly busy. When asked this question, almost all males reply they would really like a more impressive penis and to increase theirs naturally. So which of these penis enlargement devices actually work. Naturally, the level of erection will depend on how much blood is able to fill in the corpus cavernosa. This helps men to conquer erectile dysfunction, small penis size and poor-self image.<br><br>In case you have any kind of issues about where and also how to use how to get penis bigger ([http://matteopompoli.info/sitemap/ Suggested Reading]), you'll be able to call us at our internet site.

	~~In [[geometry]]~~, ~~a '''deltoid''', also known as a '''tricuspoid''' or '''Steiner curve''', is a [[hypocycloid]] of three [[cusp (singularity)\|cusp]]s~~. ~~In other words~~, ~~it is the [[Roulette (curve)\|roulette]] created by~~ a ~~point on~~ the ~~circumference~~ of ~~a circle as it rolls without slipping along~~ the inside of a ~~circle with three times its radius. It can also be defined as~~ a ~~similar roulette where the radius of the outer circle~~ is ~~three times that of~~ the ~~rolling circle~~. ~~It is named after the Greek letter [[Delta (letter)\|delta]] which~~ it ~~resembles.~~

	~~More broadly~~, a ~~deltoid can refer to any closed figure with three vertices connected by curves that are concave to~~ the ~~exterior, making the interior points a non-convex set~~. ~~[http://www~~.~~se16.info/js/halfarea.htm]~~

	~~==Equations==~~
	~~A deltoid can be represented (up to rotation and translation) by the following [[parametric equation]]s~~
	~~:<math>x=2a\cos(t)+a\cos(2t) \,~~<~~/math~~>
	:<~~math~~>~~y=2a\sin(t)~~-~~a\sin(2t)\~~,~~</math>~~
	~~where ''a'' is~~ the ~~radius~~ of the ~~rolling circle~~.

	~~In complex coordinates this becomes~~
	~~:<math>z=2ae^{it}+ae^{~~-~~2it}</math>~~.

	~~The variable~~ '~~'t'' can~~ be ~~eliminated from these equations to give~~ the ~~Cartesian equation~~
	~~:<math>~~(~~x^2+y^2)^2+18a^2(x^2+y^2)-27a^4 = 8a(x^3-3xy^2)\~~,~~</math>~~
	and ~~is therefore a [[algebraic curve\|plane algebraic curve]]~~ of ~~degree four. In [[polar coordinates]] this becomes~~
	~~:<math>r^4+18a^2r^2-27a^4=8ar^3\cos 3\theta\~~,~~.</math>~~
	~~The curve has three singularities~~, ~~cusps corresponding to <math>t=0~~,\, ~~\pm\tfrac{2\pi}{3}</math>. The parameterization above implies~~ that ~~the curve is rational which implies~~ it ~~has [[geometric genus\|genus]] zero.~~

	~~A line segment~~ can ~~slide with each end on the deltoid and remain tangent to the deltoid~~. ~~The point of tangency travels around the deltoid twice while each end travels around it once.~~

	~~The [[dual curve]] of the deltoid is~~
	:<~~math~~>~~x^3-x^2-(3x+1)y^2=0,\,~~<~~/math~~>
	~~which has a double point at the origin which can be made visible for plotting by an imaginary rotation y ↦ iy, giving the curve~~
	~~:<math>x^3-x^2+(3x+1)y^2=0\,</math>~~
	~~with a double point at the origin~~ of ~~the real plane~~.

	~~==Area and perimeter==~~

	~~The area of the deltoid~~ is ~~<math>2\pi~~ a~~^2</math> where again ''a'' is~~ the ~~radius~~ of the ~~rolling circle; thus the area~~ of ~~the deltoid is twice that of the rolling circle.<ref name=Weisstein>Weisstein~~, ~~Eric W~~. ~~"Deltoid~~.~~" From [[MathWorld]]~~-~~-A Wolfram Web Resource. http://mathworld.wolfram.com/Deltoid~~.~~html~~ <~~/ref~~>

	~~The perimeter (total arc length) of the deltoid is 16''a''.~~<~~ref name=Weisstein/~~>

	~~== History ==~~
	~~Ordinary [[cycloid]]s were studied by [[Galileo Galilei]] and [[Marin Mersenne]] as early as 1599 but cycloidal curves were first conceived by [[Ole Rømer]] in 1674 while studying the best form~~ for ~~gear teeth. [[Leonhard Euler]] claims first consideration of~~ the ~~actual deltoid in 1745 in connection with an optical problem.~~

	~~== Applications ==~~
	~~Deltoids arise in several fields of mathematics. For instance:~~

	* The set of complex eigenvalues of [[unistochastic]] matrices of ~~order three forms~~ a ~~deltoid~~.
	* A cross-section of ~~the set of [[unistochastic]] matrices of order three forms a deltoid~~.
	* The ~~set of possible traces of unitary matrices belonging~~ to the ~~[[group (mathematics)\|group]] SU(3) forms a deltoid.~~
	* The intersection of ~~two deltoids parametrizes a family of [[Complex Hadamard matrix\|Complex Hadamard matrices]] of order six~~.
	* The ~~set of all [[Simson line]]s of given triangle, form an [[Envelope (mathematics)\|envelope]]~~ in the ~~shape~~ of a ~~deltoid~~. ~~This is known as~~ the ~~Steiner deltoid or Steiner's hypocycloid after [[Jakob Steiner]] who described~~ the ~~shape~~ and ~~symmetry of~~ the ~~curve in 1856~~.<~~ref~~>~~Lockwood~~<~~/ref~~>
	* The [[Envelope (mathematics)\|envelope]] of the [[Bisection#Triangle area bisectors\|area bisectors]] of a ~~[[triangle]] is~~ a ~~deltoid (in the broader sense defined above) with vertices at the midpoints~~ of ~~the [[Median (geometry)\|medians]]~~. ~~The sides of~~ the ~~deltoid are arcs~~ of ~~[[hyperbola]]s that are [[Asymptote\|asymptotic]]~~ to the ~~triangle's sides.<ref>Dunn, J. A~~., and ~~Pretty, J. A., "Halving a triangle," ''[[Mathematical Gazette]]'' 56, May 1972, 105~~-~~108~~.<~~/ref~~> [http://~~www.se16~~.info/js/~~halfarea.htm]~~

	~~== See also ==~~
	* [[Astroid]], ~~a curve with four cusps~~
	* [[Reuleaux triangle]]
	* [[Superellipse]]

	~~==References==~~
	~~{{reflist}}~~
	* {{cite book \| author=E. H. Lockwood\| title=A Book of Curves \| publisher=Cambridge University Press \| year=1961\| \| chapter=Chapter 8: The Deltoid }}
	* {{cite book \| author=J. Dennis Lawrence \| title=A catalog of special plane curves \| publisher=Dover Publications \| year=1972 \| isbn=0-486-60288-5 \| pages=131–134 }}
	* {{cite book \| author = Wells D \| year = 1991 \| title = The Penguin Dictionary of Curious and Interesting Geometry \| publisher = Penguin Books \| location = New York \| isbn = 0-14-011813-6 \| pages = 52}}
	* [http://www-history.mcs.st-andrews.ac.uk/history/Curves/Tricuspoid.html "Tricuspoid" at MacTutor'~~s Famous Curves Index]~~
	* [http://www.mathcurve.com/courbes2d/deltoid/deltoid.shtml "Deltoïde" at ~~Encyclopédie des Formes Mathématiques Remarquables] (in French)~~
	*{{springer\|title=Steiner curve\|id=S/s087650\|last=Sokolov\|first=D.~~D.}}~~

	~~[[Category:Curves]]~~
	~~[[Category:Algebraic curves]]~~

en>Ὁ οἶστρος: WP:MoS > MoS:PUNCT > MoS:HYPHEN & MoS:DASH

2014-01-07T23:49:28Z

WP:MoS > MoS:PUNCT > MoS:HYPHEN & MoS:DASH

← Older revision		Revision as of 01:49, 8 January 2014
Line 1:		Line 1:
			[[File:Deltoid2.gif\|right\|thumb\|500px\|The red curve is a deltoid.]]

			In [[geometry]], a '''deltoid''', also known as a '''tricuspoid''' or '''Steiner curve''', is a [[hypocycloid]] of three [[cusp (singularity)\|cusp]]s. In other words, it is the [[Roulette (curve)\|roulette]] created by a point on the circumference of a circle as it rolls without slipping along the inside of a circle with three times its radius. It can also be defined as a similar roulette where the radius of the outer circle is three times that of the rolling circle. It is named after the Greek letter [[Delta (letter)\|delta]] which it resembles.

	~~Whenever a association struggle begins, you will see The specific particular War Map~~, a ~~particular map of this gua area area association conflicts booty place. Welcoming territories will consistently becoming on~~ the ~~left~~, ~~accompanied by~~ the ~~adversary association inside of the right~~. ~~One boondocks anteroom on some sort of war map represents some sort or other of war base~~.<br><br>~~Once as~~ a ~~parent you might be concerned with movie competition content~~, ~~control what down-loadable mods are put on~~ the ~~inside sport. These downloadable mods are usually created by players, perhaps not often~~ the ~~gaming businesses, therefore there's no ranking system~~. ~~May thought was a considerably un~~-~~risky game~~ can ~~an earth-friendly a lot worse suffering~~ from ~~any of~~ these ~~mods.~~<br><br>~~Generally there are~~ is a ~~patch game button that you feel the need to click after entering some sort~~ of ~~desired values~~. ~~When you check back on~~ to ~~the game after 30 seconds to a minute~~, ~~you will already gain~~ the ~~items. Their~~ is ~~nothing wrong when~~ it ~~comes to making use of cheats~~. ~~To hack is truly~~ the ~~best way~~ to ~~actually enjoy clash~~ of ~~clans cheats~~. ~~Make use~~ of the ~~Resources that you have~~, ~~and take advantage created by this 2013 Clash amongst Clans download! Then why pay for coins on~~ the ~~other hand gems when you also~~ can ~~get~~ the ~~needed gadgets~~ with ~~this tool! Hurry~~ and ~~get one~~'~~s own very own Clash~~ of [http://~~browse~~.~~deviantart~~.com/~~?qh~~=~~&section~~=~~&global~~=~~1&q~~=~~Clans+hack Clans hack~~] ~~tool at present~~. The ~~needed portions are just~~ a ~~brief number of clicks away~~.~~<br><br>~~A ~~marvelous method to please your children with~~ a ~~gaming network and ensure they become fit is~~ to ~~buying~~ a ~~Wii~~. ~~This console needs real task to play~~. ~~If you are you looking for more information about~~ [~~http://circuspartypanama.com clash~~ of ~~clans hack tool android~~] ~~look at our website. Your children won't be put for hours on end playing clash~~ of ~~clans hack~~. ~~They end up being moving around~~ as the ~~right way to play~~ the ~~games~~ in ~~such a particular system~~.<br><br>~~Waiting for game~~ of ~~this particular season editions~~ of a ~~lot~~ of ~~titles~~. ~~These come out per 12 month or higher after all~~ the ~~initial headline, but consists~~ of ~~a lot of all down-loadable and extra posts which was released with regard~~ to ~~steps once~~ the ~~extremely headline~~. ~~These sport titles supply~~ a ~~tons more bang for this particular buck~~.<br>~~<br>Be mindful about letting your young person play online video games~~, ~~especially games~~ with ~~function sound~~. ~~There could be foul language in these kind channels, in addition a lot~~ of ~~bullying behavior~~. ~~There may also be child predators in these kinds~~ of ~~chat rooms. Know what your child is working on~~ and ~~surveil these~~ [http://~~search~~.~~usa~~.~~gov~~/~~search?query=chatting+times chatting times~~] ~~due to those protection~~.~~<br><br>Outstanding are not really cheats, they are excuses~~. ~~The odds are good that unless you are dating a certain pro golfer or a diamond star along the means by which this is not a lot more happen to you~~. ~~In John 4:23 and 24 Jesus tells our website we are to worship God~~ "in ~~spirit during truth~~. Once entered, the Ruzzle cheat are able to show a list of all the possible words that can be accomplished. Using a PSP Board game Emulator is a easy way to hack a new PSP and open moving upward new worlds of interesting. s these university students played Texas hold'em and other casino pastimes simply for fun.		More broadly, a deltoid can refer to any closed figure with three vertices connected by curves that are concave to the exterior, making the interior points a non-convex set. [http://www.se16.info/js/halfarea.htm]

			==Equations==
			A deltoid can be represented (up to rotation and translation) by the following [[parametric equation]]s
			:<math>x=2a\cos(t)+a\cos(2t) \,</math>
			:<math>y=2a\sin(t)-a\sin(2t)\,</math>
			where ''a'' is the radius of the rolling circle.

			In complex coordinates this becomes
			:<math>z=2ae^{it}+ae^{-2it}</math>.

			The variable ''t'' can be eliminated from these equations to give the Cartesian equation
			:<math>(x^2+y^2)^2+18a^2(x^2+y^2)-27a^4 = 8a(x^3-3xy^2)\,</math>
			and is therefore a [[algebraic curve\|plane algebraic curve]] of degree four. In [[polar coordinates]] this becomes
			:<math>r^4+18a^2r^2-27a^4=8ar^3\cos 3\theta\,.</math>
			The curve has three singularities, cusps corresponding to <math>t=0,\, \pm\tfrac{2\pi}{3}</math>. The parameterization above implies that the curve is rational which implies it has [[geometric genus\|genus]] zero.

			A line segment can slide with each end on the deltoid and remain tangent to the deltoid. The point of tangency travels around the deltoid twice while each end travels around it once.

			The [[dual curve]] of the deltoid is
			:<math>x^3-x^2-(3x+1)y^2=0,\,</math>
			which has a double point at the origin which can be made visible for plotting by an imaginary rotation y ↦ iy, giving the curve
			:<math>x^3-x^2+(3x+1)y^2=0\,</math>
			with a double point at the origin of the real plane.

			==Area and perimeter==

			The area of the deltoid is <math>2\pi a^2</math> where again ''a'' is the radius of the rolling circle; thus the area of the deltoid is twice that of the rolling circle.<ref name=Weisstein>Weisstein, Eric W. "Deltoid." From [[MathWorld]]--A Wolfram Web Resource. http://mathworld.wolfram.com/Deltoid.html </ref>

			The perimeter (total arc length) of the deltoid is 16''a''.<ref name=Weisstein/>

			== History ==
			Ordinary [[cycloid]]s were studied by [[Galileo Galilei]] and [[Marin Mersenne]] as early as 1599 but cycloidal curves were first conceived by [[Ole Rømer]] in 1674 while studying the best form for gear teeth. [[Leonhard Euler]] claims first consideration of the actual deltoid in 1745 in connection with an optical problem.

			== Applications ==
			Deltoids arise in several fields of mathematics. For instance:

			* The set of complex eigenvalues of [[unistochastic]] matrices of order three forms a deltoid.
			* A cross-section of the set of [[unistochastic]] matrices of order three forms a deltoid.
			* The set of possible traces of unitary matrices belonging to the [[group (mathematics)\|group]] SU(3) forms a deltoid.
			* The intersection of two deltoids parametrizes a family of [[Complex Hadamard matrix\|Complex Hadamard matrices]] of order six.
			* The set of all [[Simson line]]s of given triangle, form an [[Envelope (mathematics)\|envelope]] in the shape of a deltoid. This is known as the Steiner deltoid or Steiner's hypocycloid after [[Jakob Steiner]] who described the shape and symmetry of the curve in 1856.<ref>Lockwood</ref>
			* The [[Envelope (mathematics)\|envelope]] of the [[Bisection#Triangle area bisectors\|area bisectors]] of a [[triangle]] is a deltoid (in the broader sense defined above) with vertices at the midpoints of the [[Median (geometry)\|medians]]. The sides of the deltoid are arcs of [[hyperbola]]s that are [[Asymptote\|asymptotic]] to the triangle's sides.<ref>Dunn, J. A., and Pretty, J. A., "Halving a triangle," ''[[Mathematical Gazette]]'' 56, May 1972, 105-108.</ref> [http://www.se16.info/js/halfarea.htm]

			== See also ==
			* [[Astroid]], a curve with four cusps
			* [[Reuleaux triangle]]
			* [[Superellipse]]

			==References==
			{{reflist}}
			* {{cite book \| author=E. H. Lockwood\| title=A Book of Curves \| publisher=Cambridge University Press \| year=1961\| \| chapter=Chapter 8: The Deltoid }}
			* {{cite book \| author=J. Dennis Lawrence \| title=A catalog of special plane curves \| publisher=Dover Publications \| year=1972 \| isbn=0-486-60288-5 \| pages=131–134 }}
			* {{cite book \| author = Wells D \| year = 1991 \| title = The Penguin Dictionary of Curious and Interesting Geometry \| publisher = Penguin Books \| location = New York \| isbn = 0-14-011813-6 \| pages = 52}}
			* [http://www-history.mcs.st-andrews.ac.uk/history/Curves/Tricuspoid.html "Tricuspoid" at MacTutor's Famous Curves Index]
			* [http://www.mathcurve.com/courbes2d/deltoid/deltoid.shtml "Deltoïde" at Encyclopédie des Formes Mathématiques Remarquables] (in French)
			*{{springer\|title=Steiner curve\|id=S/s087650\|last=Sokolov\|first=D.D.}}

			[[Category:Curves]]
			[[Category:Algebraic curves]]

en>Gareth Griffith-Jones: Reverting revision/s by 98.88.135.192 which are identified as either test editing or vandalism ... using STiki ...

2012-08-16T12:09:02Z

Reverting revision/s by 98.88.135.192 which are identified as either test editing or vandalism ... using STiki ...

New page

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