Entropic force - Revision history

en>Boghog: ref reformatting

2015-01-10T10:59:37Z

ref reformatting

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	~~41 year old Paediatrician Merle from Carp~~, ~~has many passions that include bird watching~~, [http://www.rmmonline.com/portfolio/content/new-launches-singapore-property-guides-articles property agents singapore] ~~developers~~ in ~~singapore~~ and ~~sleeping~~. ~~Likes~~ to ~~visit~~ new ~~places like Historic Centre~~ of ~~Riga~~.		Huttons Real Property Group is likely one of the quickest growing actual property companies with over 3000 real estate consultants and over a decade of undertaking advertising and marketing and consulting experience. Founded in 2002, we are primarily based in Singapore with companions presently in Malaysia (Huttons OneWorld Snd Bhd) and Philippines (Huttons MHT Co Inc). We are still growing rapidly and fast increasing internationally, making it easier for each our shoppers and patrons to cross-purchase and promote [http://www.rmmonline.com/portfolio/content/new-launches-singapore-property-guides-articles property agents singapore] regionally and abroad.<br><br>Investors will probably need to get a breakdown of the business properties that individuals can discover when they view the Hexacube There are actually 5 distinct levels of the complicated, plus a further basement stage. All of those ranges will supply their very own unique design, which will undoubtedly appeal to many individuals on the market. Some visitors will want to try how they'll take a tour of the advanced. This will help them visualize how they will set up buildings throughout these locations in only a short period of time. This could be a useful asset to house owners who must be taught extra about how they will upgrade the workplace areas that they can use here.<br><br>Economic circumstances needed for the en bloc market to take off Get your very personal Virtual Property Film (VPM) if you checklist your property SOLELY with me! And let's start marketing your Property to everyone SUCCESSFULLY & JUST ABOUT! My identify is Ravin, have been in Real Property Business since 2005. Shopping for Enquiry , Promoting Enquiry , Renting Enquiry , Investing Enquiry If approval is granted, the foreigner is required to present an enterprise to the federal government that the property is for use just for the aim of residence and not for investment and some other revenue-producing purposes. The application takes roughly three months to process. Own a piece of an exciting new waterfront township in London – Royal Wharf (Section 1 fully offered). Gentle Industrial (B1)<br><br>GST shouldn't be payable on residential property at current. Nevertheless, as some residentialproperties (e.g. shophouse with a flat above) may involve a business componentyou ought to search recommendation from your lawyer on this. Your Lawyer's Function in a Property Sale Three personal condos are within walking distance to the American College. These are The Woodgrove Condo, The Woodgrove and the Rosewood Condos. More condos are available in 2007. The Woodgrove on the left aspect of the photograph has solely a small pool. Woodgrove Apartment (right) with full condominium facilities is in great demand. In case you have a $12,000 rental price range and a pair of toddlers, will you wish to reside in a wonderful home with no person making noises above you or a swanky rental with pool and gymnasium? The sale that worth waiting for<br><br>The rise in the nominal price index pales as compared with the 38.2% value hike (34% in real phrases) during the 12 months to Q2 2010, a period which noticed the fastest price-rises of the current growth. Measures had been launched in October 2012 to restrict mortgage tenure to 35 years, and to lower to 60% the LTV ratio for loans longer than 30 years, or mortgage periods extending past age 65. In This fall 2012 there have been 277,620 completed private residential items obtainable, with an occupancy charge of ninety four.6%, and round 86,475 uncompleted units, based on the URA. Falling interest rates While developers are clearing their existing inventory, each month there are new projects obtaining their PRIME and new websites launched by the federal government to construct extra non-public housing.<br><br>Jun 16 Eight Riversuites Condo 3 bedrms for sale $1300000 / 3br - 980ft² - (Whampoa East) pic real property - by dealer Jun 16 Eight Riversuites Condo 2 bedrms for sale $1100000 / 2br - 807ft² - (Whampoa East) pic real estate - by broker Strong demandfor rental in Zone 2 residential properties Spottiswoode Park. 36 storey, 175 models of FREEHOLD luxurious properties awaiting the you. It;s positioned at Central Enterprise District, the center of singaporeIt is only a quick strolling distance to Outram MRT Station, and couple of minutes away to Singapore Future waterfront and Tourism Hub. Shenton Way, Marina Financial Center, Keppel Bay, Vivocity, Orchard and MUCH RATHER MORE. Read more In no less than two other circumstances, such flats have been put up on the market. Smart property financing

en>AnomieBOT: Rescuing orphaned refs ("cef" from rev 590980692)

2014-03-02T23:38:50Z

Rescuing orphaned refs ("cef" from rev 590980692)

← Older revision		Revision as of 01:38, 3 March 2014
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	~~{{other uses}}~~		41 year old Paediatrician Merle from Carp, has many passions that include bird watching, [http://www.rmmonline.com/portfolio/content/new-launches-singapore-property-guides-articles property agents singapore] developers in singapore and sleeping. Likes to visit new places like Historic Centre of Riga.
	~~{{Refimprove\|date=June 2012}}~~

	~~An '''oval''' (~~from ~~Latin ''ovum''~~, "egg") is a [[closed curve]] in a [[plane (geometry)\|plane]] which "loosely" resembles the outline of an [[egg (food)\|egg]]. The term is not very specific, but in some areas ([[projective geometry]], [[technical drawing]], etc.) it is given a more precise definition, which may include ~~either one or two axes of symmetry.~~
	~~In common English~~, ~~the term is used in a broader sense: any shape which ''reminds'' one of an egg.~~

	~~The 3-dimensional version of an oval is called an '''ovoid'''.~~

	~~==Oval in geometry==~~
	[[~~File~~:~~oval1.svg\|thumb\|right\|This oval, with only one axis of symmetry, resembles a chicken egg~~.]]

	The term '''oval''' when used to describe [[curve]]s in [[geometry]] is not well-defined, except in the context of [[projective geometry]]. Many distinct curves are commonly called ovals or are said to have an "oval shape". Generally, to be called an oval, a [[Plane (geometry)\|plane]] curve should ''resemble'' the outline of an [[Egg (food)\|egg]] or an [[ellipse]]. In particular, the common traits that these curves have are:
	* they are [[curve\|differentiable]] (smooth-looking),<ref>When this property makes sense, i.e. when on a differentiable manifold. In more general settings one might only require that there exist a unique tangent line at each point of the curve.</~~ref> [[curve\|simple]] (not self-intersecting), [[Convex set\|convex]], [[curve\|closed]], [[plane curve]]s;~~
	* their [[shape]] does not depart much from that of an [[ellipse]], and
	* there is at least one [[axis of symmetry]].
	~~Examples of ovals described elsewhere include:~~
	*[[Cassini oval]]s
	*[[elliptic curve]]s
	*[[superellipse]]
	*[[Cartesian oval]]

	~~An '''ovoid''' is the 3-dimensional surface generated by rotating an oval curve about one of its axes of symmetry.~~
	~~The adjectives '''ovoidal''' and '''ovate''' mean having the characteristic of being an ovoid, and are often used as [[synonym]]s for "egg-shaped".~~

	~~==Projective geometry==~~
	~~[[File:Chicken egg 2009-06-04.jpg\|thumb\|200px\| A chicken egg is a naturally occurring ovoid]]~~

	In the theory of [[projective plane]]s, '''''oval''''' is used to mean a set of ''n'' + 1 points in a projective plane of order ''n'', with no three on a common line (no three points are [[line (geometry)\|collinear]]). See [[oval (projective plane)]].

	~~An '''[[ovoid (projective geometry)\|ovoid]]''' in the finite projective geometry PG(3,q), is a set of ''q''<sup>2<~~/~~sup> + 1 points such that no three points are collinear. At each point of an ovoid all the tangent lines to the ovoid lie in a single plane.~~

	~~==Egg shape==~~
	~~The shape of an [[egg (food)\|egg]] is approximately half of each of a [[prolate spheroid\|prolate]] (long) and a roughly spherical (potentially even slightly [[Oblate spheroid\|oblate]]~~/~~short) [[ellipsoid]] joined at the equator, sharing a [[principal axis]] of [[rotational symmetry]], as illustrated above. Although the term ''egg~~-~~shaped'' usually implies a lack of [[reflection symmetry]] across the equatorial plane, it may also refer to true prolate ellipsoids. It can also be used to describe the 2~~-~~dimensional figure that, revolved around its [[major axis]], produces the 3~~-~~dimensional surface. Refer to the following equation for an approximation of a 3D egg where the letter "a" represents any positive constant:~~
	~~:<math>x^2 + y^2 + z^2(1.5\cos((z+a/2)/a))^2 = a\!</math>~~

	~~==Technical drawing==~~
	[[File:Owal by Zureks.svg\|thumb\|An oval with two axes of symmetry constructed from four arcs (top), and comparison of blue oval and red ellipse with the same dimensions of short and long axes (bottom).]]

	In [[technical drawing]], an '''oval''' is a figure constructed from two pairs of arcs, with two different [[radius\|radii]] (see image on the right). The arcs are joined at a point, in which lines [[tangential]] to both joining arcs lie on the same line, thus making the joint smooth. Any point of an oval belongs to an arc with a constant radius (shorter or longer), whereas in an [[ellipse]] the radius is continuously changing.

	~~==In common English==~~
	~~In common speech "oval" means a shape rather like an egg or an ellipse, which may be two~~-~~dimensional or three~~-~~dimensional. It also often refers to a figure that resembles two semicircles joined by a rectangle, like a [[cricket field\|cricket infield]] or [[oval track racing\|oval racing track]~~]~~. This is more correctly, although archaically, described as [[oblong]].<ref name="OED, Oblong" >{{Cite book~~
	~~\|title=[[Oxford English Dictionary]]~~
	~~\|chapter=Oblong~~
	~~\|edition=~~
	~~\|year=1933~~
	~~\|quote='''A''' ''adj.'' '''1.''' Elongated~~ in ~~one direction (usually as a deviation from an exact square or circular form): having the chief axis considerably longer than the transverse diameter~~
	~~}}</ref> Sometimes it can even refer to any rectangle with rounded corners~~.

	~~The shape lends its name~~ to ~~many well-known~~ places ~~(see [[Oval (disambiguation)]])~~.

	~~==See also==~~
	*[[Vesica piscis]] – a pointed oval
	*[[Ellipse]]
	*[[Stadium (geometry)]]

	~~== Notes ==~~
	~~{{Reflist}}~~

	~~[[Category:Curves]]~~
	~~[[Category:Elementary shapes]]~~

en>Msuzen: /* Mathematical formulation */ Neumann's initial definition is earlier than other references

2014-01-16T15:51:43Z

Mathematical formulation: Neumann's initial definition is earlier than other references

New page

{{other uses}}
{{Refimprove|date=June 2012}}

An '''oval''' (from Latin ''ovum'', "egg") is a [[closed curve]] in a [[plane (geometry)|plane]] which "loosely" resembles the outline of an [[egg (food)|egg]]. The term is not very specific, but in some areas ([[projective geometry]], [[technical drawing]], etc.) it is given a more precise definition, which may include either one or two axes of symmetry.
In common English, the term is used in a broader sense: any shape which ''reminds'' one of an egg.

The 3-dimensional version of an oval is called an '''ovoid'''.

==Oval in geometry==
[[File:oval1.svg|thumb|right|This oval, with only one axis of symmetry, resembles a chicken egg.]]

The term '''oval''' when used to describe [[curve]]s in [[geometry]] is not well-defined, except in the context of [[projective geometry]]. Many distinct curves are commonly called ovals or are said to have an "oval shape". Generally, to be called an oval, a [[Plane (geometry)|plane]] curve should ''resemble'' the outline of an [[Egg (food)|egg]] or an [[ellipse]]. In particular, the common traits that these curves have are:
* they are [[curve|differentiable]] (smooth-looking),<ref>When this property makes sense, i.e. when on a differentiable manifold. In more general settings one might only require that there exist a unique tangent line at each point of the curve.</ref> [[curve|simple]] (not self-intersecting), [[Convex set|convex]], [[curve|closed]], [[plane curve]]s;
* their [[shape]] does not depart much from that of an [[ellipse]], and
* there is at least one [[axis of symmetry]].
Examples of ovals described elsewhere include:
*[[Cassini oval]]s
*[[elliptic curve]]s
*[[superellipse]]
*[[Cartesian oval]]

An '''ovoid''' is the 3-dimensional surface generated by rotating an oval curve about one of its axes of symmetry.
The adjectives '''ovoidal''' and '''ovate''' mean having the characteristic of being an ovoid, and are often used as [[synonym]]s for "egg-shaped".

==Projective geometry==
[[File:Chicken egg 2009-06-04.jpg|thumb|200px| A chicken egg is a naturally occurring ovoid]]

In the theory of [[projective plane]]s, '''''oval''''' is used to mean a set of ''n'' + 1 points in a projective plane of order ''n'', with no three on a common line (no three points are [[line (geometry)|collinear]]). See [[oval (projective plane)]].

An '''[[ovoid (projective geometry)|ovoid]]''' in the finite projective geometry PG(3,q), is a set of ''q''<sup>2</sup> + 1 points such that no three points are collinear. At each point of an ovoid all the tangent lines to the ovoid lie in a single plane.

==Egg shape==
The shape of an [[egg (food)|egg]] is approximately half of each of a [[prolate spheroid|prolate]] (long) and a roughly spherical (potentially even slightly [[Oblate spheroid|oblate]]/short) [[ellipsoid]] joined at the equator, sharing a [[principal axis]] of [[rotational symmetry]], as illustrated above. Although the term ''egg-shaped'' usually implies a lack of [[reflection symmetry]] across the equatorial plane, it may also refer to true prolate ellipsoids. It can also be used to describe the 2-dimensional figure that, revolved around its [[major axis]], produces the 3-dimensional surface. Refer to the following equation for an approximation of a 3D egg where the letter "a" represents any positive constant:
:<math>x^2 + y^2 + z^2(1.5\cos((z+a/2)/a))^2 = a\!</math>

==Technical drawing==
[[File:Owal by Zureks.svg|thumb|An oval with two axes of symmetry constructed from four arcs (top), and comparison of blue oval and red ellipse with the same dimensions of short and long axes (bottom).]]

In [[technical drawing]], an '''oval''' is a figure constructed from two pairs of arcs, with two different [[radius|radii]] (see image on the right). The arcs are joined at a point, in which lines [[tangential]] to both joining arcs lie on the same line, thus making the joint smooth. Any point of an oval belongs to an arc with a constant radius (shorter or longer), whereas in an [[ellipse]] the radius is continuously changing.

==In common English==
In common speech "oval" means a shape rather like an egg or an ellipse, which may be two-dimensional or three-dimensional. It also often refers to a figure that resembles two semicircles joined by a rectangle, like a [[cricket field|cricket infield]] or [[oval track racing|oval racing track]]. This is more correctly, although archaically, described as [[oblong]].<ref name="OED, Oblong" >{{Cite book
|title=[[Oxford English Dictionary]]
|chapter=Oblong
|edition=
|year=1933
|quote='''A''' ''adj.'' '''1.''' Elongated in one direction (usually as a deviation from an exact square or circular form): having the chief axis considerably longer than the transverse diameter
}}</ref> Sometimes it can even refer to any rectangle with rounded corners.

The shape lends its name to many well-known places (see [[Oval (disambiguation)]]).

==See also==
*[[Vesica piscis]] – a pointed oval
*[[Ellipse]]
*[[Stadium (geometry)]]

== Notes ==
{{Reflist}}

[[Category:Curves]]
[[Category:Elementary shapes]]