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[[Image:An image describing the semi-major and semi-minor axis of eclipse.png|thumb|upright=1.8|The semi-major (in red*) and semi-minor axis (in blue*) of an ellipse.<br />
A lagging computer is truly annoying and can be very a headache. Almost every individual that utilizes a computer faces this issue certain time or the other. If your computer also suffers from the same problem, there are it difficult to continue working as routine. In such a situation, the thought, "what must I do to create my PC run quicker?" is recurring and infuriating. There's a answer, nonetheless!<br><br>Document files enable the consumer to input data, images, tables and additional ingredients to enhance the presentation. The only issue with this format compared to additional file kinds like .pdf for example is its ability to be readily editable. This means that anyone viewing the file may change it by accident. Also, this file formatting is opened by alternative programs yet it refuses to guarantee which what you see inside the Microsoft Word application will nonetheless become the same whenever you view it utilizing another program. However, it is nevertheless preferred by many computer consumers for its ease of employ plus qualities.<br><br>The 'registry' is a central database that stores info, settings and choices for your computer. It's really the many popular reason why XP runs slow and should you fix this problem, you might make your computer run a lot faster. The problem is the fact that the 'registry' stores a great deal of settings and details about a PC... and because Windows demands to use a lot of of these settings, any corrupted or damaged ones will straight affect the speed of your program.<br><br>Your computer was pretty fast when you initially bought it. Because a registry was really clean and free of mistakes. After time, a computer starts to run slow plus freezes up now and then. Because there are mistakes accumulating inside it plus several info is rewritten or even completely deleted by your wrong uninstall of programs, wrong operations, malware or different items. That is the reason why your computer performance decreases slowly and become especially unstable.<br><br>In a word, to accelerate windows XP, Vista startup, it's very important to disable several business goods plus clean and optimize the registry. We can follow the procedures above to disable unwanted programs. To optimize the registry, I recommend you utilize a [http://bestregistrycleanerfix.com/tune-up-utilities tuneup utilities 2014] software. Because it happens to be fairly dangerous for you to edit the registry by oneself.<br><br>Another element is registry. It is regarded as the most important part in a Windows XP, Vista running systems. When Windows start, it read associated data from registry and load into computer RAM. This takes up a big piece of the startup time. After the information is all loaded, computer runs the business programs.<br><br>It is critical that you remove obsolete registry entries from a system on a regular basis, if you need your program to run quicker, which is. If you don't keep the registry clean, a time might come when a program may stop working completely. Then, your just way is to reformat the difficult drive and begin over!<br><br>By changing the technique we employ the web you can have access more of your precious bandwidth. This may eventually give we a faster surfing experience. Here is a link to 3 methods to customize your PC speed online.
 
(* on some browsers)]]
 
In [[geometry]], the '''semi-minor axis''' (also '''semiminor axis''') is a [[line segment]] associated with most [[conic section]]s (that is, with [[ellipse]]s and [[hyperbola]]s) that is at [[right angle]]s with the [[semi-major axis]] and has one end at the center of the conic section. It is one of the [[axis of symmetry|axes of symmetry]] for the curve: in an ellipse, the shorter one; in a hyperbola, the one that does not intersect the hyperbola.
 
==Ellipse==
 
The semi-minor axis of an ellipse runs from the center of the ellipse (a point halfway between and on the line running between the [[Focus (geometry)|foci]]) to the edge of the ellipse. The semi-minor axis is half of the minor axis. The minor axis is the longest line segment perpendicular to the major axis that connects two points on the ellipse's edge.
 
The semi-minor axis ''b'' is related to the [[semi-major axis]] <math>a</math> through the [[eccentricity (mathematics)|eccentricity]] <math>e</math> and the [[semi-latus rectum]] <math>l</math>, as follows:
 
:<math>b = a \sqrt{1-e^2}\,\!</math>
 
:<math>al=b^2\,\!</math>.
 
The semi-minor axis of an ellipse is the [[geometric mean]] of the maximum and minimum distances <math>r_{max}</math> and <math>r_{min}</math> of the ellipse from a focus — that is, of the distances from a focus to the endpoints of the major axis:
 
:<math> b = \sqrt{r_{max}r_{min}}.</math>
 
A [[parabola]] can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction, keeping ''l'' fixed. Thus ''a'' and ''b'' tend to infinity, ''a'' faster than ''b''.
 
The length of the semi-minor axis could also be found using the following formula,<ref>http://www.mathopenref.com/ellipseaxes.html,"Major / Minor axis of an ellipse",Math Open Reference, 12 May 2013</ref>
:<math> 2b = \sqrt{(p+q)^2 -f^2} </math> where f is the distance between the foci, p and q are the distances from each focus to any point in the ellipse.
 
==Hyperbola==
 
In a hyperbola, a '''conjugate axis''' or '''minor axis''' of length 2''b'', corresponding to the minor axis of an ellipse, can be drawn perpendicular to the '''transverse axis''' or '''major axis''', the latter connecting the two [[Vertex (curve)|vertices]] (turning points) of the hyperbola, with the two axes intersecting at the center of the hyperbola. The endpoints (0, ±''b'') of the minor axis lie at the height of the asymptotes over/under the hyperbola's vertices. Either half of the minor axis is called the semi-minor axis, of length ''b''.  Denoting the semi-major axis length (distance from the center to a vertex) as ''a'', the semi-minor and semi-major axes' lengths appear in the equation of the hyperbola relative to these axes as follows:
 
:<math>\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1.</math>
 
The semi-minor axis and the semi-major axis are related through the eccentricity, as follows:
 
:<math>b = a \sqrt{e^2-1}.</math>
 
Note that in a hyperbola ''b'' can be larger than ''a''.
[http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node27.html]
 
==References==
{{reflist}}
 
== External links ==
*[http://www.mathopenref.com/ellipsesemiaxes.html Semi-minor and semi-major axes of an ellipse] With interactive animation
 
{{orbits}}
 
[[Category:Conic sections]]
[[Category:Orbits]]

Latest revision as of 15:13, 30 November 2014

A lagging computer is truly annoying and can be very a headache. Almost every individual that utilizes a computer faces this issue certain time or the other. If your computer also suffers from the same problem, there are it difficult to continue working as routine. In such a situation, the thought, "what must I do to create my PC run quicker?" is recurring and infuriating. There's a answer, nonetheless!

Document files enable the consumer to input data, images, tables and additional ingredients to enhance the presentation. The only issue with this format compared to additional file kinds like .pdf for example is its ability to be readily editable. This means that anyone viewing the file may change it by accident. Also, this file formatting is opened by alternative programs yet it refuses to guarantee which what you see inside the Microsoft Word application will nonetheless become the same whenever you view it utilizing another program. However, it is nevertheless preferred by many computer consumers for its ease of employ plus qualities.

The 'registry' is a central database that stores info, settings and choices for your computer. It's really the many popular reason why XP runs slow and should you fix this problem, you might make your computer run a lot faster. The problem is the fact that the 'registry' stores a great deal of settings and details about a PC... and because Windows demands to use a lot of of these settings, any corrupted or damaged ones will straight affect the speed of your program.

Your computer was pretty fast when you initially bought it. Because a registry was really clean and free of mistakes. After time, a computer starts to run slow plus freezes up now and then. Because there are mistakes accumulating inside it plus several info is rewritten or even completely deleted by your wrong uninstall of programs, wrong operations, malware or different items. That is the reason why your computer performance decreases slowly and become especially unstable.

In a word, to accelerate windows XP, Vista startup, it's very important to disable several business goods plus clean and optimize the registry. We can follow the procedures above to disable unwanted programs. To optimize the registry, I recommend you utilize a tuneup utilities 2014 software. Because it happens to be fairly dangerous for you to edit the registry by oneself.

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

It is critical that you remove obsolete registry entries from a system on a regular basis, if you need your program to run quicker, which is. If you don't keep the registry clean, a time might come when a program may stop working completely. Then, your just way is to reformat the difficult drive and begin over!

By changing the technique we employ the web you can have access more of your precious bandwidth. This may eventually give we a faster surfing experience. Here is a link to 3 methods to customize your PC speed online.