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{{Portal:Algebra/box-header|Selected Article|Portal:Algebra/Selected article/1}}</noinclude>
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| width=200 style="font-size: 85%; text-align: center; " | A [[Loxodrome | loxodromic]] representation of the Riemann sphere.
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The '''Riemann sphere''' is a way of extending the [[plane (mathematics)|plane]] of [[complex number]]s with one additional [[point at infinity]], in a way that makes expressions such as
:<math>\frac{1}{0} = \infty</math>
well-behaved and useful, at least in certain contexts. It is named after [[19th century]] mathematician [[Bernhard Riemann]]. It is also called the '''complex [[projective line]]''', denoted '''CP'''<sup>1</sup>.


On a purely [[algebra]]ic level, the complex numbers with an extra infinity element constitute a number system known as the '''extended complex numbers'''. Arithmetic with infinity does not obey all of the usual rules of algebra, and so the extended complex numbers do not form a [[field (algebra)|field]]. However, the Riemann sphere is geometrically and analytically well-behaved, even near infinity; it is a one-[[dimension]]al [[complex manifold]], also called a [[Riemann surface]].
If an accident was caused by another individual's negligence, carelessness, and irresponsible behavior, the victims can claim damages payment for the injuries, property damages, and losses they have sustained. Choose a lawyer who gives prime importance to collection of evidence. Good lawyers that are confident in their work will offer free consultation fees and will work on contingency. The car accidents would also mean assessment and evaluation of the vehicle damage, which benefits immensely while preparing the case. Within seconds, the individuals are left in pain, the shock of losing the expensive car, insecurity and medical expenses thereafter.  <br><br>Loss of consciousness or feeling dizzy caused by a blow or jolt to the head are the signs of suffering from brain injury. But care should be taken by the employee and the employer to keep such incidences to the minimum. Please click on Page 3 to read important consumer tips when purchasing a new, used or pre-owned vehicle. Car accident lawyer Chicago is very much helpful to the accident victims. Sun Lin Hoo: A native of China, "Sunny" is Jimmy Hoo's lonely wife. <br><br>He handles medical malpractice, construction accidents, dental malpractice, wrongful death, birth injuries, slip trip and fall, workers compensation, social security and auto accident cases in NYC. The other party may not be willing to admit that he is liable. If you are in a motorcycle accident and you need to find a good accident lawyer for a motorcycle in Phoenix, get an attorney asap. If you have recently been involved in a  [http://www.youtube.com/watch?v=ORuh1Dr9rcs youtube.com/watch?v=qWZomlaZgCI] car accident and have been injured because of the fault of another party, it is wise not to speak with anyone until you have contacted a personal injury lawyer. Hastings, who died under very mysterious circumstances in an auto accident had contacted the Wiki - Leaks lawyer just before he died and seemed very nervous. <br><br>You never know when or if you'll get into a car accident, but it's always good to have lawyer's information if you do. However, the United States Highway Traffic Safety Administration has presented statistics to the contrary. A competent and established lawyer would be smart enough to carry out things like investigations, secure evidence, file documents, locate witnesses and thus move your case for a favorable verdict. More information available on car accident lawyers ->>. If he or she has the finances to compensate you, the courts will allow this to happen.  <br><br>You can consult with the lawyer concerning all the things that you have to consider with regard to the damages you sustained. Denver Car Accident Lawyer is one of the largest personal firms of the lawyers regarding car accidents and injury. lawyers are well versed in how to handle complicated court proceedings. National statistics reveal a huge tragedy: more than six million car crashes that kill more than 40,000 people annually. Tampa has many attorneys that give their clients a briefing and a short presentation about their credibility.
 
In [[complex analysis]], the Riemann sphere facilitates an elegant theory of [[meromorphic functions]]. The Riemann sphere is ubiquitous in [[projective geometry]] and [[algebraic geometry]] as a fundamental example of a complex manifold, [[projective space]], and [[algebraic variety]]. It also finds utility in other disciplines that depend on analysis and geometry, such as [[quantum mechanics]] and other branches of [[physics]].
 
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|align=left|'''[[Portal:Algebra/Selected article|...Archive]]'''
|align=center| <small>Image credit: Karthik Narayanaswami</small>
|align=right|'''[[Riemann sphere|Read more...]]'''
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Latest revision as of 13:02, 6 December 2014


If an accident was caused by another individual's negligence, carelessness, and irresponsible behavior, the victims can claim damages payment for the injuries, property damages, and losses they have sustained. Choose a lawyer who gives prime importance to collection of evidence. Good lawyers that are confident in their work will offer free consultation fees and will work on contingency. The car accidents would also mean assessment and evaluation of the vehicle damage, which benefits immensely while preparing the case. Within seconds, the individuals are left in pain, the shock of losing the expensive car, insecurity and medical expenses thereafter.

Loss of consciousness or feeling dizzy caused by a blow or jolt to the head are the signs of suffering from brain injury. But care should be taken by the employee and the employer to keep such incidences to the minimum. Please click on Page 3 to read important consumer tips when purchasing a new, used or pre-owned vehicle. Car accident lawyer Chicago is very much helpful to the accident victims. Sun Lin Hoo: A native of China, "Sunny" is Jimmy Hoo's lonely wife.

He handles medical malpractice, construction accidents, dental malpractice, wrongful death, birth injuries, slip trip and fall, workers compensation, social security and auto accident cases in NYC. The other party may not be willing to admit that he is liable. If you are in a motorcycle accident and you need to find a good accident lawyer for a motorcycle in Phoenix, get an attorney asap. If you have recently been involved in a youtube.com/watch?v=qWZomlaZgCI car accident and have been injured because of the fault of another party, it is wise not to speak with anyone until you have contacted a personal injury lawyer. Hastings, who died under very mysterious circumstances in an auto accident had contacted the Wiki - Leaks lawyer just before he died and seemed very nervous.

You never know when or if you'll get into a car accident, but it's always good to have lawyer's information if you do. However, the United States Highway Traffic Safety Administration has presented statistics to the contrary. A competent and established lawyer would be smart enough to carry out things like investigations, secure evidence, file documents, locate witnesses and thus move your case for a favorable verdict. More information available on car accident lawyers ->>. If he or she has the finances to compensate you, the courts will allow this to happen.

You can consult with the lawyer concerning all the things that you have to consider with regard to the damages you sustained. Denver Car Accident Lawyer is one of the largest personal firms of the lawyers regarding car accidents and injury. lawyers are well versed in how to handle complicated court proceedings. National statistics reveal a huge tragedy: more than six million car crashes that kill more than 40,000 people annually. Tampa has many attorneys that give their clients a briefing and a short presentation about their credibility.