Primality certificate - Revision history

en>Yobot: /* External links */WP:CHECKWIKI error fixes using AWB (10093)

2014-05-05T12:05:11Z

External links: WP:CHECKWIKI error fixes using AWB (10093)

← Older revision		Revision as of 14:05, 5 May 2014
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	~~[[File:High accuracy settling time measurements figure 1.png\|thumb\|right\|Settling time is the time required for an output to reach and remain within a given error band following some input stimulus.]]~~		The title of the writer is Figures. Bookkeeping is my occupation. California is where her home is but she requirements to transfer because of her family. Doing ceramics is what my family members and I appreciate.<br><br>Feel free to visit my web site :: [http://www.Asseryshit.com/groups/valuable-guidance-for-successfully-treating-yeast-infections/ asseryshit.com]

	The ~~'''settling time'''~~ of ~~an [[amplifier]] or other output device~~ is the time elapsed from the application of an ideal instantaneous step input to the time at which the amplifier output has entered and remained within a specified [[error]] band, usually symmetrical about the final value.
	Settling time includes a very brief [[propagation delay]], plus the time required for the output to slew to the vicinity of the final value, recover from the overload condition associated with [[Slew rate\|slew]], and finally settle to within the specified error.

	~~Systems with energy storage cannot respond instantaneously and will exhibit transient responses when they are subjected~~ to ~~inputs or disturbances.<ref>[Modern Control Engineering (5th Edition), Katsuhiko Ogata]</ref>~~

	~~== Definition ==~~

	~~Tay, Mareels and Moore (1997) defined settling time as "the time required for the response curve to reach and stay within a range of certain percentage (usually 5% or 2%)~~ of ~~the final value~~."<ref>{{Cite book\| title = High performance control \| last = Tay \| first = Teng-Tiow \| coauthors = Iven Mareels, John B. Moore \| publisher = Birkhäuser \| year = 1997 \| isbn = 0-8176-4004-5 \| page = 93}}</ref>

	~~== Mathematical detail ==~~

	~~Settling time depends on the system response~~ and ~~[[time constant]]~~.

	~~The settling time for a 2nd order, underdamped system responding to a [[step response]] can be approximated if the damping ratio <math>\zeta \ll 1</math> by~~

	<~~math~~> ~~T_s = -\frac{\ln (\text{tolerance fraction})}{\text{damping ratio} \times \text{natural freq}}~~ <~~/math~~>

	~~Thus, settling time~~ to ~~within 2% = 0.02 is:~~

	~~<math>T_s = -\frac{\ln(0.02)}{\zeta \omega_n}\approx\frac{3.9}{\zeta \omega_n}</math>~~

	~~== References ==~~
	~~{{reflist}}~~

	~~==See also==~~
	* [[Rise time]]
	* [[Step response]]
	* [[Time constant]]

	~~==External links==~~
	~~{{wikisourcehas\|a paper on settling time measurements.\|[[Wikisource~~:~~High accuracy settling time measurements]]}}~~
	* [http:~~//bass.gmu.edu/~gbeale/ece_421/second_order_04.html Second-Order System Example]~~
	* [http://www.~~analog~~.com/~~static~~/~~imported~~-~~files~~/~~application_notes/466359863287538299597392756AN359.pdf Op Amp Settling Time]~~
	* [http://www.facstaff.bucknell.edu/mastascu/eControlHTML/SysDyn/SysDyn5.html Graphical tutorial] of Settling time and Risetime
	* [http://www.mathworks.com~~/help/toolbox/ident/ref/stepinfo.html MATLAB function] for computing settling time, rise time, and other step response characteristics~~

	~~[[Category:Transient response characteristics]]~~

	~~[[de:Einschwingzeit]]~~
	~~[[pl:Czas regulacji]~~]

en>MathPerson: added lnk to another test

2013-04-16T01:25:03Z

added lnk to another test

← Older revision		Revision as of 03:25, 16 April 2013
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	The ~~writer~~ is ~~known by~~ the ~~name~~ of ~~Figures Wunder~~. ~~Puerto Rico is exactly where he's usually been residing but she needs~~ to ~~transfer simply because~~ of ~~her family members~~. ~~What I love performing is playing baseball but I haven't produced a dime~~ with it. ~~My day occupation is~~ a ~~meter reader~~.<br><br>~~Here~~ is ~~my site~~: ~~at home std testing~~ ([http://www.~~ubi~~-~~cation~~.com/~~ubication~~/~~node~~/~~6056 click the following web page~~])		[[File:High accuracy settling time measurements figure 1.png\|thumb\|right\|Settling time is the time required for an output to reach and remain within a given error band following some input stimulus.]]

			The '''settling time''' of an [[amplifier]] or other output device is the time elapsed from the application of an ideal instantaneous step input to the time at which the amplifier output has entered and remained within a specified [[error]] band, usually symmetrical about the final value.
			Settling time includes a very brief [[propagation delay]], plus the time required for the output to slew to the vicinity of the final value, recover from the overload condition associated with [[Slew rate\|slew]], and finally settle to within the specified error.

			Systems with energy storage cannot respond instantaneously and will exhibit transient responses when they are subjected to inputs or disturbances.<ref>[Modern Control Engineering (5th Edition), Katsuhiko Ogata]</ref>

			== Definition ==

			Tay, Mareels and Moore (1997) defined settling time as "the time required for the response curve to reach and stay within a range of certain percentage (usually 5% or 2%) of the final value."<ref>{{Cite book\| title = High performance control \| last = Tay \| first = Teng-Tiow \| coauthors = Iven Mareels, John B. Moore \| publisher = Birkhäuser \| year = 1997 \| isbn = 0-8176-4004-5 \| page = 93}}</ref>

			== Mathematical detail ==

			Settling time depends on the system response and [[time constant]].

			The settling time for a 2nd order, underdamped system responding to a [[step response]] can be approximated if the damping ratio <math>\zeta \ll 1</math> by

			<math> T_s = -\frac{\ln (\text{tolerance fraction})}{\text{damping ratio} \times \text{natural freq}} </math>

			Thus, settling time to within 2% = 0.02 is:

			<math>T_s = -\frac{\ln(0.02)}{\zeta \omega_n}\approx\frac{3.9}{\zeta \omega_n}</math>

			== References ==
			{{reflist}}

			==See also==
			* [[Rise time]]
			* [[Step response]]
			* [[Time constant]]

			==External links==
			{{wikisourcehas\|a paper on settling time measurements.\|[[Wikisource:High accuracy settling time measurements]]}}
			* [http://bass.gmu.edu/~gbeale/ece_421/second_order_04.html Second-Order System Example]
			* [http://www.analog.com/static/imported-files/application_notes/466359863287538299597392756AN359.pdf Op Amp Settling Time]
			* [http://www.facstaff.bucknell.edu/mastascu/eControlHTML/SysDyn/SysDyn5.html Graphical tutorial] of Settling time and Risetime
			* [http://www.mathworks.com/help/toolbox/ident/ref/stepinfo.html MATLAB function] for computing settling time, rise time, and other step response characteristics

			[[Category:Transient response characteristics]]

			[[de:Einschwingzeit]]
			[[pl:Czas regulacji]]

en>Bender2k14: /* Impact of primes in P */ The name for the set of primes is typically written in all caps

2012-07-24T16:11:59Z

Impact of primes in P: The name for the set of primes is typically written in all caps

New page

The writer is known by the name of Figures Wunder. Puerto Rico is exactly where he's usually been residing but she needs to transfer simply because of her family members. What I love performing is playing baseball but I haven't produced a dime with it. My day occupation is a meter reader.<br><br>Here is my site: at home std testing ([http://www.ubi-cation.com/ubication/node/6056 click the following web page])