Trapezoid: Difference between revisions

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[[Image:Angular aperture.svg|right|The angular aperture of a [[thin lens]] with focal point at '''''F''''' and an aperture of diameter <math>d</math>.|thumb|250px]]
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The '''angular aperture''' of a [[lens (optics)|lens]] is the apparent [[angle]] of the lens [[aperture]] as seen from the [[Focus (optics)|focal point]]:
 
:<math>a = 2 \arctan \left( \frac {D/2} {f} \right) = 2 \arctan \left( \frac {D} {2f} \right)</math>
 
where
:<math>f</math> is the [[focal length]]
:<math>D</math> is the [[diameter]] of the [[aperture]].
 
== Relation to numerical aperture ==
 
In a medium with an [[index of refraction]] close to 1, such as air, the angular aperture is approximately equal to twice the [[numerical aperture]] of the lens.<ref>{{cite book|title=Studies in Optics |author=Albert Abraham Michelson|year= 1995|publisher=Courier Dover|pages=32|isbn=0-486-68700-7|url= http://books.google.com/books?id=m2tUZ4_8WGMC&pg=PA32&dq=%22Angular+aperture%22&ie=ISO-8859-1&output=html}}</ref> 
 
Formally, the numerical aperture in air is:
 
:<math>\mathrm{NA} = \sin a/2 = \sin \arctan \left( \frac {D} {2 f} \right)</math>
 
In the [[paraxial approximation]], with a small aperture, <math>D<f</math>:
 
:<math>\mathrm{NA} \approx a/2</math>
 
==References==
{{reflist}}
 
==See also==
*[[f-number]]
*[[Numerical aperture]]
*[[Acceptance angle]], half the angular aperture
 
[[Category:Optics]]
[[Category:Angle]]

Revision as of 18:19, 14 February 2014

You can find convenient ways to speed up computer by creating the many from the built in tools inside your Windows too as downloading the Service Pack updates-speed up the PC plus fix error. Simply follow a few policies to quickly make a computer fast than ever.

Firstly, you should employ the Antivirus or protection tool plus run a scan on a computer. It can be done that the computer is infected with virus or malware that slows down a computer. If there is nothing found in the scanning report, it may be a RAM which cause the problem.

So what could you look for whenever you compare registry cleaners. Many of the registry products accessible now, have extremely similar attributes. The main ones which you need to be hunting for are these.

Fixing tcpip.sys blue screen is simple to do with registry repair software.Trying to fix windows blue screen error on the own can be tricky because should you remove or damage the registry it could cause severe damage to your computer. The registry must be cleaned and all erroneous and incomplete info removed to stop blue screen errors from occurring.The benefit of registry repair software is not limited to only getting rid of the blue screen on business.You may be amazed at the greater and more improved speed and performance of your computer program after registry cleaning is done. Registry cleaning really can develop the computer's working abilities, especially when we choose a certain registry repair software that is surprisingly powerful.

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Another element is registry. It is regarded as the most important part in a Windows XP, Vista operating systems. When Windows commence up, it read associated data from registry plus load into computer RAM. This takes up a big piece of the startup time. After the data is all loaded, computer runs the startup programs.

Maybe you're asking how come these windows XP error messages appear. Well, for we to be able to know the fix, you need to initially recognize where those mistakes come from. There is this software called registry. A registry is software which stores everything on your PC from a usual configuration, setting, info, plus logs of activities from installing to UN-installing, saving to deleting, and a lot more alterations you do in your system pass from it and gets 'tagged' and saved because a simple file for recovery purposes. Imagine it as a big recorder, a registrar, of all a records in the PC.

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