Karatsuba algorithm - Revision history

en>David Eppstein: Undid revision 630556391 by 200.123.16.74 (talk) I think splitting the larger number evenly is more important than splitting the smaller one evenly

2014-10-21T22:22:37Z

Undid revision 630556391 by 200.123.16.74 (talk) I think splitting the larger number evenly is more important than splitting the smaller one evenly

← Older revision		Revision as of 00:22, 22 October 2014
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	~~Hi there. Allow me start by introducing the writer, her title~~ is ~~Sophia Boon~~ but ~~she by no means~~ truly ~~favored~~ that title. He is ~~an information officer~~. ~~Her family members life in Ohio~~ but ~~her husband~~ wants ~~them~~ to ~~move~~. It's not ~~a common factor~~ but what she ~~likes~~ performing is to ~~play domino but she doesn't have the time lately~~.<br><br>~~Visit~~ my web ~~page~~ ... ~~clairvoyants (~~[http://www.~~seekavideo~~.com/~~playlist~~/~~2199~~/~~video~~/ ~~similar website~~])		Royal Votaw is my name but I never truly liked that title. [http://www.Continentalwarranty.org/ Bookkeeping] is what he does. Arizona has always been my residing location but my car [http://www.planetplayschool.com/ActivityFeed/MyProfile/tabid/61/UserId/415/Default.aspx auto warranty] spouse wants us to transfer. Her friends say extended car warranty it's not good for her extended car [http://www.carwarranty.com/ warranty] but what she enjoys performing is flower arranging and she is trying [http://www.hk-301.net/clansphere/index.php?mod=users&action=view&id=3833 extended auto warranty] car warranty to make it a profession.<br><br>[http://www.angieslist.com/articles/what-does-and-doesnt-your-auto-warranty-cover.htm Feel free] to visit my web blog ... [http://www.yasminebaytok.com/ActivityFeed/MyProfile/tabid/60/userId/2805/Default.aspx extended car warranty]

en>LutzL: Undid revision 596126695 by 128.62.39.129 (talk)

2014-02-19T08:27:37Z

Undid revision 596126695 by 128.62.39.129 (talk)

← Older revision		Revision as of 10:27, 19 February 2014
Line 1:		Line 1:
	~~[[File:Geostrophic current~~.~~pdf\|right\|400px\|An example of a geostrophic flow in~~ the ~~Northern Hemisphere.]]~~		Hi there. Allow me start by introducing the writer, her title is Sophia Boon but she by no means truly favored that title. He is an information officer. Her family members life in Ohio but her husband wants them to move. It's not a common factor but what she likes performing is to play domino but she doesn't have the time lately.<br><br>Visit my web page ... clairvoyants ([http://www.seekavideo.com/playlist/2199/video/ similar website])

	~~A '''geostrophic current'''~~ is ~~an oceanic flow in which the [[pressure gradient]] force is balanced~~ by ~~the [[Coriolis effect]]~~. ~~The direction of geostrophic flow~~ is ~~parallel to the [[isobar (meteorology)\|isobars]], with the high pressure to the right of the flow in the [[Northern Hemisphere]], and the high pressure to the left in the [[Southern Hemisphere]]~~. ~~This concept is familiar from weather maps, whose isobars show the direction of geostrophic flow~~ in the atmosphere. Geostrophic flow may be either [[barotropic]] or [[baroclinic]]. A geostrophic current may also be thought of as a rotating shallow water wave with a frequency of zero. The principle of geostrophy is useful to oceanographers because it allows them to ~~infer [[ocean current]]s from measurements of the sea surface height (by satellite altimeters) or from vertical profiles of seawater density taken by ships or autonomous buoys~~. ~~The major currents of the world~~'s [[ocean]]s, such as the [[Gulf Stream]], the [[Kuroshio Current]], the [[Agulhas Current]], and the [[Antarctic Circumpolar Current]], are all approximately in geostrophic balance and are examples of geostrophic currents.

	~~== Simple explanation ==~~
	~~[[Sea water]] naturally wants to move from a region of high pressure (or high sea level) to~~ a ~~region of low pressure (or low sea level). The force pushing the water towards the low pressure region~~ is ~~called the pressure gradient force. In a geostrophic flow, instead of water moving from a region of high pressure (or high sea level)~~ to ~~a region of low pressure (or low sea level), it moves along~~ the ~~lines of equal pressure ([[Contour line#Barometric pressure\|isobars]])~~. ~~This occurs because the [[Earth]] is rotating~~. ~~The rotation of the earth results in a "force" being felt by the water moving from the high to the low, known as [[Coriolis force]]~~. ~~The Coriolis force acts at right angles to the flow, and when it balances the pressure gradient force, the resulting flow is known as geostrophic~~.

	As stated above, the direction of flow is with the high pressure to the right of the flow in the [[Northern Hemisphere]], and the high pressure to the left in the [[Southern Hemisphere]]. The direction of the flow depends on the hemisphere, because the direction of the Coriolis force is opposite in the different hemispheres.

	~~== Geostrophic equations ==~~
	~~The geostrophic equations are a simplified form of the [[Navier–Stokes equations]]. In particular, it is assumed that there is no acceleration~~ (~~steady-state), that there is no viscosity, and that the pressure is~~ [~~[hydrostatic]]. The resulting balance is (Gill, 1982):~~

	:~~<math> fv = \frac{1}{\rho} \frac{\partial p}{\partial x}<~~/~~math>~~

	~~:<math> fu = -\frac{1}{\rho} \frac{\partial p}{\partial y}<~~/~~math>~~

	~~One special property of the geostrophic equations, is that they satisfy the steady-state version of the continuity equation~~. ~~That is:~~
	~~:<math> \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0 </math>~~

	~~=== Rotating waves of zero frequency ===~~
	~~The equations governing a linear, rotating shallow water wave are:~~
	~~:<math> \frac{\partial u}{\partial t} - fv = -\frac{1}{\rho} \frac{\partial p}{\partial x}<~~/~~math>~~

	~~:<math> \frac{\partial v}{\partial t} + fu = -\frac{1}{\rho} \frac{\partial p}{\partial y}</math>~~

	~~The assumption of steady-state made above (no acceleration) is:~~
	~~:<math> \frac{\partial u}{\partial t} = \frac{\partial v}{\partial t} =0 <~~/~~math>~~

	~~Alternatively, we can assume a wave-like, periodic, dependence in time:~~

	~~:<math> u \propto v \propto e^{i \omega t} <~~/~~math>~~

	~~In this case, if we set <math> \omega = 0 <~~/~~math>, we have reverted to the geostrophic equations above. Thus a geostrophic current~~
	~~can be thought of as a rotating shallow water wave with a frequency of zero.~~

	~~==See also==~~

	*[[geostrophic wind]]

	~~==References==~~
	*{{citation \|title=Atmosphere-Ocean Dynamics \|series=International Geophysics Series \|volume=30 \|first=Adrian E. \|last=Gill \| year=1982 \|publisher=Academic Press \|location=Oxford \|isbn=0-12-283522-0 }}

	~~{{physical oceanography}}~~

	~~[[Category:Geology]]~~

	~~[[fr:Vent géostrophique#Équilibre géostrophique]~~]

en>Cherkash: fixed dashes using a script

2014-01-10T19:44:41Z

fixed dashes using a script

← Older revision		Revision as of 21:44, 10 January 2014
Line 1:		Line 1:
	~~Hi there, I am Yoshiko Villareal but I never really liked that name~~. The ~~favorite pastime for my children~~ and me [~~http://www~~.~~clan-myreality~~.~~de/index~~.~~php?mod~~=~~users&action~~=~~view&id~~=~~9712 car warranty~~] is ~~dancing and now I'm attempting~~ to ~~make money with~~ it. ~~Bookkeeping is how he supports his family members and his salary~~ ~~car~~ [~~http://Www~~.~~popularmechanics~~.~~com/cars/how-~~to~~/repair/how-to-get-a-used-car-warranty-~~and~~-not-get-screwed-6654348 warranty] has been really satisfying~~. ~~Some~~ [~~http://www~~.~~itcomplianceexperts~~.~~com/UserProfile/tabid/165/userId/36272/Default~~.~~aspx car warranty] time in~~ the ~~past he~~ [~~https~~://~~www~~.~~chevrolet.com~~/~~owners~~/~~warranty.html selected] to live in Kansas.~~<br><br>~~Feel free to surf to my web blog~~ - ~~[http~~://~~www~~.hk-~~301~~.~~net/clansphere/index.php?mod~~=~~users&action~~=~~view&id~~=~~3833 extended auto warranty~~]		[[File:Geostrophic current.pdf\|right\|400px\|An example of a geostrophic flow in the Northern Hemisphere.]]

			A '''geostrophic current''' is an oceanic flow in which the [[pressure gradient]] force is balanced by the [[Coriolis effect]]. The direction of geostrophic flow is parallel to the [[isobar (meteorology)\|isobars]], with the high pressure to the right of the flow in the [[Northern Hemisphere]], and the high pressure to the left in the [[Southern Hemisphere]]. This concept is familiar from weather maps, whose isobars show the direction of geostrophic flow in the atmosphere. Geostrophic flow may be either [[barotropic]] or [[baroclinic]]. A geostrophic current may also be thought of as a rotating shallow water wave with a frequency of zero. The principle of geostrophy is useful to oceanographers because it allows them to infer [[ocean current]]s from measurements of the sea surface height (by satellite altimeters) or from vertical profiles of seawater density taken by ships or autonomous buoys. The major currents of the world's [[ocean]]s, such as the [[Gulf Stream]], the [[Kuroshio Current]], the [[Agulhas Current]], and the [[Antarctic Circumpolar Current]], are all approximately in geostrophic balance and are examples of geostrophic currents.

			== Simple explanation ==
			[[Sea water]] naturally wants to move from a region of high pressure (or high sea level) to a region of low pressure (or low sea level). The force pushing the water towards the low pressure region is called the pressure gradient force. In a geostrophic flow, instead of water moving from a region of high pressure (or high sea level) to a region of low pressure (or low sea level), it moves along the lines of equal pressure ([[Contour line#Barometric pressure\|isobars]]). This occurs because the [[Earth]] is rotating. The rotation of the earth results in a "force" being felt by the water moving from the high to the low, known as [[Coriolis force]]. The Coriolis force acts at right angles to the flow, and when it balances the pressure gradient force, the resulting flow is known as geostrophic.

			As stated above, the direction of flow is with the high pressure to the right of the flow in the [[Northern Hemisphere]], and the high pressure to the left in the [[Southern Hemisphere]]. The direction of the flow depends on the hemisphere, because the direction of the Coriolis force is opposite in the different hemispheres.

			== Geostrophic equations ==
			The geostrophic equations are a simplified form of the [[Navier–Stokes equations]]. In particular, it is assumed that there is no acceleration (steady-state), that there is no viscosity, and that the pressure is [[hydrostatic]]. The resulting balance is (Gill, 1982):

			:<math> fv = \frac{1}{\rho} \frac{\partial p}{\partial x}</math>

			:<math> fu = -\frac{1}{\rho} \frac{\partial p}{\partial y}</math>

			One special property of the geostrophic equations, is that they satisfy the steady-state version of the continuity equation. That is:
			:<math> \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0 </math>

			=== Rotating waves of zero frequency ===
			The equations governing a linear, rotating shallow water wave are:
			:<math> \frac{\partial u}{\partial t} - fv = -\frac{1}{\rho} \frac{\partial p}{\partial x}</math>

			:<math> \frac{\partial v}{\partial t} + fu = -\frac{1}{\rho} \frac{\partial p}{\partial y}</math>

			The assumption of steady-state made above (no acceleration) is:
			:<math> \frac{\partial u}{\partial t} = \frac{\partial v}{\partial t} =0 </math>

			Alternatively, we can assume a wave-like, periodic, dependence in time:

			:<math> u \propto v \propto e^{i \omega t} </math>

			In this case, if we set <math> \omega = 0 </math>, we have reverted to the geostrophic equations above. Thus a geostrophic current
			can be thought of as a rotating shallow water wave with a frequency of zero.

			==See also==

			*[[geostrophic wind]]

			==References==
			*{{citation \|title=Atmosphere-Ocean Dynamics \|series=International Geophysics Series \|volume=30 \|first=Adrian E. \|last=Gill \| year=1982 \|publisher=Academic Press \|location=Oxford \|isbn=0-12-283522-0 }}

			{{physical oceanography}}

			[[Category:Geology]]

			[[fr:Vent géostrophique#Équilibre géostrophique]]

122.167.102.48: change the typing error

2012-08-26T12:37:33Z

change the typing error

New page

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