Persistence of a number - Revision history

en>Acwilson9: /* Smallest numbers of a given persistence */ Created hyperlink to radix article.

2014-09-09T19:14:16Z

Smallest numbers of a given persistence: Created hyperlink to radix article.

← Older revision		Revision as of 21:14, 9 September 2014
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	An ''~~'oblate [[spheroid]]''' is~~ a ~~[[rotational symmetry\|rotationally symmetric]] [[ellipsoid]] having a polar axis shorter than~~ the ~~diameter~~ of the ~~equatorial circle whose plane bisects it~~.<~~ref~~>~~{{MathWorld\|OblateSpheroid\|Oblate Spheroid}}~~<~~/ref~~> ~~Oblate spheroids are contracted along~~ a ~~line~~, ~~whereas [[prolate spheroid]]s are elongated~~.		Over use of enemas and laxative, drinking alcohol leads to this problem. If you have these symptoms, and they don't improve when treated naturally, you may need to speak to a doctor to make sure they're not more serious. As long as we stick to these hemorrhoid treatment tips, then we will get along with our lives just fine. Warm sitz baths and using a cold compress will also help reduce the pain. Apply Ice - The coolness of the ice delivers immediate relief to the hemorrhoids. <br><br>However, if you're attempting to find a pro camera, let me stop you at this time and tell you to look somewhere else as this doubtless won't be anywhere near your expectancies. The search for effective hemorrhoid treatments can be time-consuming for those who suffer from hemorrhoids, but there are options, including the all-natural Clear - Med oral supplement guaranteed for 60 days and helps shrink, heal and soothe hemorrhoids. By simply controlling your diet, exercising daily, etc. Hemorrhoids are a common medical condition, that can be extremely painful and uncomfortable. Fiber supplements can help some people, but cause gas, bloating, and constipation in others. <br><br>It is very helpful to people who are working or managing a business company. They prefer to utilize stimulants, eat strong foods, and drink alcohol. Typically after the actual surgical procedure, the recuperation period is often 4 to 6 weeks. That excessive reliance on quickly-meals may be the primary motive of this ailment, a illness present mainly within the abundant countries. Resources for the above information: Revolution - Health. <br><br>Pregnancy and abnormally high tension of the internal sphincter muscle can also cause hemorrhoidal problems, presumably by means of the same mechanism. The foods that your child eats play important role in treating hemorrhoids. One of which is to radically increase fiber and water intake. Finding natural cures for hemorrhoids that work well is really unpleasant because you may have to experience the ineffectiveness of many products in the process. About Holly Hayden; Holly is an independent researcher and columnist residing in Northern California. <br><br>Stop Hemorrhoids Fast With a Proven Natural Treatment Millions of people have discovered this unique treatment and are surprised by the results. It is always advisable to rectify this disorder at the earliest possible stage to prevent serious complications in the future. The first advice medical experts give to pile sufferers is not to feel bad about themselves, lots of other people including doctors have the same ailment. A good point to note about this technique is time management and in just a matter of twenty minutes the patient is taken through the treatment easily. Julie recommends the H Miracle System on her website because pregnant women and new mothers having just given birth are unfortunately susceptible to hemorrhoids.<br><br>Should you loved this informative article and you would love to receive more details regarding treatment of hemorrhoids; [http://www.joshheling.com/sitemap/ Our Webpage], generously visit our web-site.

	It can be ~~formed by rotating an [[ellipse]] about its [[minor axis]]~~, ~~forming an equator with~~ the ~~end points of the [[major axis]]~~. ~~As with all ellipsoids~~, it can ~~also~~ be ~~described by the lengths of three mutually perpendicular principal axes~~, ~~which are~~ in ~~this case two arbitrary equatorial [[semi-major axis\|semi-major axes]] and one [[semi-minor axis]]~~.

	~~An everyday example of an oblate spheroid~~ is ~~the shape of confectionery such as [[Smarties]]~~ or ~~[[M&M's]]~~. ~~The [[Figure of~~ the ~~Earth\|shape of~~ the ~~Earth]] ([[geoid]])~~ is ~~very close~~ to ~~that~~ of ~~an oblate spheroid. Though local [[topography]] deviates from~~ this ~~idealized [[spheroid]]~~, on a ~~global scale these [[Deviation (statistics)\|deviation]]s are very small~~.

	~~[[File~~:~~Ellipse axis~~.~~svg\|thumb\|right\|An oblate spheroid can be formed by rotating an [[ellipse]] about its [[minor axis]].]]~~

	~~==Properties==~~
	~~An oblate spheroid with ''b~~ < ~~a'' has [[surface area]]~~

	~~:::<math~~>~~S_{\rm oblate} = 2\pi a^2\left(1+\frac{1-e^2}{e}\tanh^{-1}e\right)~~
	~~\quad\mbox{where}\quad e^2=1-\frac{b^2}{a^2}~~<~~/math~~>

	and ~~[[volume]]~~
	~~:::<math>V_{\rm oblate} = \frac{4}{3}\pi a^2 b</math>~~.

	The ~~oblate spheroid~~ is ~~generated by rotation about~~ the ~~minor axis~~ of an ~~ellipse with semi-major axis ''~~a'' and ~~semi-minor axis ''b'', therefore ''e'' may be identified as~~ the ~~[[eccentricity (mathematics)\|eccentricity]] (see [[ellipse]])~~. ~~A derivation of~~ this ~~result may be found~~ at.~~<ref>http://mathworld.wolfram.com/OblateSpheroid.html</ref>~~

	~~==Aspect ratio==~~
	The ~~[[aspect ratio]] of an oblate spheroid/ellipse~~, ~~''b'':''a'', is the ratio~~ of the ~~polar~~ to ~~equatorial lengths, while~~ the ~~'''[[flattening]]''' (also called '''oblateness''') ''f'',~~ is the ~~ratio of~~ the ~~equatorial-polar length difference~~ to ~~the equatorial length:~~

	: <~~math~~>~~f=\frac{a-b}{a}=1 - b:a.~~<~~/math~~>

	~~These are just two of several different parameters used~~ to ~~define an ellipse and its solid body counterparts.~~

	~~The oblate spheroid is the approximate shape~~ of ~~many [[planet]]s and [[Astronomical object\|celestial bodies]], including [[Saturn]] and [[Altair]]~~;
	~~in particular, cartographic and geodetic systems for the [[Earth]] are based on a [[reference ellipsoid]].~~

	~~==See also==~~
	* [[Aspect ratio]]
	* [[Equatorial bulge]]
	* [[Equidimensional]]
	* [[Figure of the Earth]]
	* [[Flattening]]
	* [[Lentoid]]
	* [[Oblate spheroidal coordinates]]
	* [[Prolate spheroid]]
	* [[Reference ellipsoid]]

	~~==References==~~

	~~{{Reflist}}~~

	~~==External links==~~
	* [http://~~mathworld~~.~~wolfram~~.com/~~OblateSpheroid~~.~~html Interactive oblate spheroid using Java on MathWorld]~~

	~~{{DEFAULTSORT:Oblate Spheroid}}~~
	~~[[Category:Planetary science]]~~
	~~[[Category:Quadrics]]~~
	~~[[Category:Surfaces]]~~

	~~[[es:Esferoide oblato]]~~

en>MagistraMundi at 10:32, 30 January 2014

2014-01-30T10:32:55Z

← Older revision		Revision as of 12:32, 30 January 2014
Line 1:		Line 1:
			An '''oblate [[spheroid]]''' is a [[rotational symmetry\|rotationally symmetric]] [[ellipsoid]] having a polar axis shorter than the diameter of the equatorial circle whose plane bisects it.<ref>{{MathWorld\|OblateSpheroid\|Oblate Spheroid}}</ref> Oblate spheroids are contracted along a line, whereas [[prolate spheroid]]s are elongated.

			It can be formed by rotating an [[ellipse]] about its [[minor axis]], forming an equator with the end points of the [[major axis]]. As with all ellipsoids, it can also be described by the lengths of three mutually perpendicular principal axes, which are in this case two arbitrary equatorial [[semi-major axis\|semi-major axes]] and one [[semi-minor axis]].

	~~All~~ of the ~~trophies from all within~~ the ~~members in your kin get added up and as well as divided by 2~~ to ~~ascertain your clans overall awards. Playing many different kinds~~ of ~~games could make your gaming time more enjoyment~~. ~~If you have any inquiries regarding exactly where and how to use~~ [~~http://prometeu.net clash of clans unlimited gems apk~~], ~~you can get hold of us at our own web site~~. ~~and your league also determines some battle win bonus~~. ~~5 star rating and still is known to~~ be ~~very addictive as players are known to devote several hours experiencing and enjoying the game~~. ~~She makes~~ a ~~specialty of beauty salon business start-up and client fascination.~~<br><br>~~If you have got to reload a arms when playing conflict of clans hack~~ and that's shooting entailed, always think about cover first. It genuinely is common for athletes to be gunned straight down while a reload is generally happening, and you watch helplessly. Do And never let it happen you r! Find somewhere that will conceal before you fire up to reload.<br><br>~~Temperance~~ is ~~essential in most things, and enjoying clash~~ of ~~clans cheats is no dissimilar. Playing for hours on finish is not just good~~-~~for~~-~~you~~, ~~bodily or in your head~~. ~~There are some games out here which know~~ this ~~and~~ may [http://~~Www~~.~~Encyclopedia~~.com/~~searchresults~~.~~aspx?q~~=~~include+measures include measures~~] ~~to remind in order to take rests. Take the initiative yourself~~, ~~although! Place an alarm so you don~~'~~t play for over an hour right.<br><br>Time and again check several distinct shop before purchasing~~ a ~~game. Be sure which will look both online combined with in genuine brick and mortar stores in your company~~'~~s region. The cost of a video online may differ widely, unusually if a game must be not brand new. By performing a modest additional leg work~~, ~~which~~ is ~~possible to get clash of clans.<br><br>One~~ of the ~~best and fastest boosting certifications by ECCouncil. Where a dictionary invade fails~~ the ~~computer hacker may try a incredible force attack~~, ~~which~~ is ~~more time consuming. Sets up~~ the ~~borders~~ of ~~everyone with non~~-~~editable flag~~: ~~lot_border [ ]. The problem is this one hit you might where it really harms~~ - ~~your heart~~. These ~~Kindle hacks~~ are ~~unquestionably keyboard shortcuts will prevent tons~~ of ~~time on the search~~ and ~~typing in continued things~~. ~~Claire informed me how she had begun to gain a (not insignificant.<br><br>Casino~~ is ~~infiltrating houses all over~~ the ~~world. Some play these games for work~~, ~~remember~~, ~~though , others play them intended for enjoyment. This firm is booming~~ and ~~won't fall off anytime soon. Refer to~~ for ~~some fantastic tips~~ on ~~gaming~~.~~<br><br>You don''t necessarily want one~~ of the ~~improved troops to win advantages~~. ~~A mass volume of barbarians, your first-level troop, could well totally destroy an attacker village, and strangely it''s quite enjoyable to look at the virtual carnage~~.		An everyday example of an oblate spheroid is the shape of confectionery such as [[Smarties]] or [[M&M's]]. The [[Figure of the Earth\|shape of the Earth]] ([[geoid]]) is very close to that of an oblate spheroid. Though local [[topography]] deviates from this idealized [[spheroid]], on a global scale these [[Deviation (statistics)\|deviation]]s are very small.

			[[File:Ellipse axis.svg\|thumb\|right\|An oblate spheroid can be formed by rotating an [[ellipse]] about its [[minor axis]].]]

			==Properties==
			An oblate spheroid with ''b < a'' has [[surface area]]

			:::<math>S_{\rm oblate} = 2\pi a^2\left(1+\frac{1-e^2}{e}\tanh^{-1}e\right)
			\quad\mbox{where}\quad e^2=1-\frac{b^2}{a^2}</math>

			and [[volume]]
			:::<math>V_{\rm oblate} = \frac{4}{3}\pi a^2 b</math>.

			The oblate spheroid is generated by rotation about the minor axis of an ellipse with semi-major axis ''a'' and semi-minor axis ''b'', therefore ''e'' may be identified as the [[eccentricity (mathematics)\|eccentricity]] (see [[ellipse]]). A derivation of this result may be found at.<ref>http://mathworld.wolfram.com/OblateSpheroid.html</ref>

			==Aspect ratio==
			The [[aspect ratio]] of an oblate spheroid/ellipse, ''b'':''a'', is the ratio of the polar to equatorial lengths, while the '''[[flattening]]''' (also called '''oblateness''') ''f'', is the ratio of the equatorial-polar length difference to the equatorial length:

			: <math>f=\frac{a-b}{a}=1 - b:a.</math>

			These are just two of several different parameters used to define an ellipse and its solid body counterparts.

			The oblate spheroid is the approximate shape of many [[planet]]s and [[Astronomical object\|celestial bodies]], including [[Saturn]] and [[Altair]];
			in particular, cartographic and geodetic systems for the [[Earth]] are based on a [[reference ellipsoid]].

			==See also==
			* [[Aspect ratio]]
			* [[Equatorial bulge]]
			* [[Equidimensional]]
			* [[Figure of the Earth]]
			* [[Flattening]]
			* [[Lentoid]]
			* [[Oblate spheroidal coordinates]]
			* [[Prolate spheroid]]
			* [[Reference ellipsoid]]

			==References==

			{{Reflist}}

			==External links==
			* [http://mathworld.wolfram.com/OblateSpheroid.html Interactive oblate spheroid using Java on MathWorld]

			{{DEFAULTSORT:Oblate Spheroid}}
			[[Category:Planetary science]]
			[[Category:Quadrics]]
			[[Category:Surfaces]]

			[[es:Esferoide oblato]]

en>Aeusoes1: nix redundant "term used to describe" in lede

2012-09-01T00:13:32Z

nix redundant "term used to describe" in lede

New page

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