Rydberg constant: Difference between revisions

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[[Image:Fermat's spiral.svg|frame|right|Fermat's spiral]]
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'''Fermat's spiral''' (also known as a [[parabola|parabolic]] [[spiral]]) follows the equation
 
:<math>r = \pm\theta^{1/2}\,</math>
 
in [[polar coordinates]] (the more general Fermat's spiral follows ''r''<sup>&nbsp;2</sup>&nbsp;=&nbsp;''a''<sup>&nbsp;2</sup>''&theta;''.)
It is a type of [[Archimedean spiral#General Archimedean spiral|Archimedean spiral]].<ref>{{mathworld|urlname=FermatsSpiral |title=Fermat Spiral}}</ref>
 
In disc [[phyllotaxis]] ([[sunflower]], daisy), the mesh of spirals occurs in [[Fibonacci number]]s because divergence (angle of succession in a single spiral arrangement) approaches the [[golden ratio]]. The shape of the spirals depends on the growth of the elements generated sequentially. In mature-disc [[phyllotaxis]], when all the elements are the same size, the shape of the spirals is that of Fermat spirals&mdash;ideally. That is because Fermat's spiral traverses equal [[annulus (mathematics)|annuli]] in equal turns. The full model proposed by H Vogel in 1979<ref>
{{Cite journal
  | last =Vogel
  | first =H
  | title =A better way to construct the sunflower head
  | journal =Mathematical Biosciences
  | issue =44
  | pages =179–189
  | year =1979
  | doi =10.1016/0025-5564(79)90080-4
  | volume =44
  | postscript =<!--None-->
}}</ref> is
 
:<math>r = c \sqrt{n},</math>
 
:<math>\theta = n \times 137.508^\circ,</math>
 
where ''θ'' is the angle, ''r'' is the radius or distance from the center, and ''n'' is the index number of the floret and ''c'' is a constant scaling factor. The angle 137.508° is the [[golden angle]] which is approximated by ratios of [[Fibonacci number]]s.<ref>{{cite book
  | last =Prusinkiewicz
  | first =Przemyslaw
  | authorlink =Przemyslaw Prusinkiewicz
  | coauthors =[[Aristid Lindenmayer|Lindenmayer, Aristid]]
  | title =The Algorithmic Beauty of Plants
  | publisher =Springer-Verlag
  | date =1990
  | location =
  | pages =101&ndash;107
  | url =http://algorithmicbotany.org/papers/#webdocs
  | doi =
  | isbn = 978-0-387-97297-8 }}</ref>
Fermat's spiral has also been found to be an efficient layout for the mirrors of [[concentrated solar power]] plants.<ref>
{{Cite journal
  | last =Noone
  | first =Corey J.
  | last =Torrilhon
  | first =Manuel
  | last =Mitsos
  | first = Alexander
  | title =Heliostat Field Optimization: A New Computationally Efficient Model and Biomimetic Layout
  | journal =Solar Energy
  |date=December 2011
  | doi =10.1016/j.solener.2011.12.007
  | note = In Press
  | postscript =<!--None-->
}}</ref>  
 
[[Image:Sunflower spiral.png|thumb|692px|The pattern of florets produced by Vogel's model (central image). The other two images show the patterns for slightly different values of the angle.]]
{{clear}}
== See also ==
 
* [[Patterns in nature]]
* [[Spiral of Theodorus]]
 
== References ==
{{Reflist}}
 
* {{cite book | author=J. Dennis Lawrence | title=A catalog of special plane curves | publisher=Dover Publications | year=1972 | isbn=0-486-60288-5 | pages=31,186 }}
 
==External links==
* {{springer|title=Fermat spiral|id=p/f038420}}
* [http://jsxgraph.uni-bayreuth.de/wiki/index.php/Fermat's_spiral Online exploration using JSXGraph (JavaScript)]
 
[[Category:Spirals]]

Latest revision as of 15:38, 3 January 2015

BSOD or the Blue Screen of Death, (moreover known because blue screen physical memory dump), is an error that occurs on a Windows program - when the computer simply shuts down or automatically reboots. This error may occur simply because the computer is booting up or certain Windows application is running. Whenever the Windows OS discovers an unrecoverable error it hangs the system or leads to memory dumps.

Before really obtaining the software it is very best to check on the companies which create the software. If you may discover details found on the kind of standing every company has, perhaps the risk of malicious programs can be reduced. Software from reputed businesses have aided me, and other consumers, to create my PC run quicker.. If the product description refuses to look superior to we, refuses to include details about the software, does not include the scan functions, you should go for another one which ensures you're paying for what we desire.

With RegCure we can easily boost the begin up plus shut down of your computer. The program shows the scan progress plus you shouldn't worry where it is very working at that time. It shows we exactly what happens. Dynamic link library section of the registry can cause severe application failures. RegCure restores plus repairs the registry and keeps you from DLL. RegCure can create individual corrections, so it may works for the requires.

First, usually clean a PC plus keep it free of dust and dirt. Dirt clogs up all the fans plus could cause the PC to overheat. We additionally have to wash up disk room inside order to make your computer run quicker. Delete temporary and unwanted files and unused programs. Empty the recycle bin plus remove programs you're not utilizing.

Besides, in the event you could receive a system mechanic which may work for we effectively plus swiftly, then why not? There is 1 such system, RegCure that is good plus complete. It has attributes which alternative cleaners do not have. It is the many recommended registry cleaner now.

The program is designed plus built for the purpose of helping we accomplish tasks plus not be pestered by windows XP error messages. When there are mistakes, what do you do? Some individuals pull their hair plus cry, whilst those sane ones have their PC repaired, while those certainly wise ones analysis to have the mistakes fixed themselves. No, these errors were not furthermore designed to rob you off a income and time. There are details which you can do to really prevent this from happening.

To accelerate your computer, we merely should be able to do away with all these junk files, allowing your computer to locate exactly what it wants, whenever it wants. Luckily, there's a tool which allows you to do this conveniently plus swiftly. It's a tool called a 'registry cleaner'.

Before you buy a entire brand-new system; it really is time to receive the old one cleaned up so you can begin getting more completed online today! Visit our site under and access the most reputable registry cleaner software accessible.

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