Temperature coefficient - Revision history

en>Sparkie82: /* Electrical resistance */ editor note

2014-12-19T03:31:05Z

Electrical resistance: editor note

← Older revision		Revision as of 05:31, 19 December 2014
Line 1:		Line 1:
	~~Painting Positions Worker Nigel Golick from Barrhead~~, ~~likes puppetry~~, ~~new launch property singapore~~ and ~~train spotting~~. ~~Gains encouragement through travel~~ and ~~just spent 9 months~~ at ~~Swiss Alps Jungfrau~~-~~Aletsch~~.<br><br>~~My page~~ [http://www.~~quipux~~.org.ec/~~?q=node~~/~~32426 singapore new launch property~~]		Bryan is really a superstar inside the producing and the career expansion initial next to his 3rd place album, And , may be the confirmation. He broken to the picture in 2006 together with his special blend of lower-house availability, motion picture star great looks and lines, is scheduled t inside a main way. The newest record Top in the nation graph or chart and #2 about the put graphs, earning it the next maximum very first at that time of 2000 to get a country designer. <br><br>

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en>Flyer22: Reverted 1 edit by 39.32.141.208 identified as test/vandalism using STiki

2014-02-14T17:03:36Z

Reverted 1 edit by 39.32.141.208 identified as test/vandalism using STiki

← Older revision		Revision as of 19:03, 14 February 2014
Line 1:		Line 1:
	~~{{no footnotes\|date=June 2011}}~~		Painting Positions Worker Nigel Golick from Barrhead, likes puppetry, new launch property singapore and train spotting. Gains encouragement through travel and just spent 9 months at Swiss Alps Jungfrau-Aletsch.<br><br>My page [http://www.quipux.org.ec/?q=node/32426 singapore new launch property]
	~~The '''twelfth root of two''' or <math>\sqrt[12]{2}</math> is an [[algebraic number\|algebraic]] [[irrational number]]. It is most important in [[music theory]]~~, ~~where it represents the [[frequency]] [[ratio]] of a [[semitone]] in [[Twelve-tone equal temperament]].~~

	~~==Numerical value==~~
	~~Its value is 1.05946309435929...~~, ~~which is slightly more than {{frac\|18\|17}} ≈ 1~~.~~0588. Better approximations are {{frac\|196\|185}} ≈ 1.059459 or {{frac\|18904\|17843}} ≈ 1.0594630948.~~

	~~==The equal-tempered chromatic scale==~~

	~~Since a [[interval (music)\|musical interval]] is a ratio of frequencies, the equal~~-~~tempered chromatic scale divides the [[octave]] (which has a ratio of 2:1) into [[12 (number)\|twelve]] equal parts~~.

	Applying this value successively to the tones of a chromatic scale, starting from '''A''' above [[middle C\|middle '''C''']] with a frequency of 440 Hz, produces the following sequence of [[pitch (music)\|pitch]]es:
	~~{\| class="wikitable" style="text-align: center"~~
	~~! Note~~<br/> ~~ ~~
	~~! Frequency~~<br/> Hz
	~~! Multiplier<br/>  ~~
	~~! Coefficient<br/>(to six places)~~
	\|-
	~~\| A \|\| 440.00 \|\| 2{{sup\|0~~/~~12}} \|\| 1.000000~~
	\|-
	~~\| A{{music\|#}}~~/~~B{{music\|b}} \|\| 466~~.~~16 \|\| 2{{sup\|1/12}} \|\| 1~~.~~059463~~
	\|-
	~~\| B \|\| 493~~.~~88 \|\| 2{{sup\|2~~/~~12}} \|\| 1.122462~~
	\|-
	~~\| C \|\| 523.25 \|\| 2{{sup\|3/12}} \|\| 1.189207~~
	\|-
	~~\| C{{music\|#}}/D{{music\|b}} \|\| 554.37 \|\| 2{{sup\|4/12}} \|\| 1.259921~~
	\|-
	~~\| D \|\| 587.33 \|\| 2{{sup\|5/12}} \|\| 1.334839~~
	\|-
	~~\| D{{music\|#}}/E{{music\|b}} \|\| 622.25 \|\| 2{{sup\|6/12}} \|\| 1.414213~~
	\|-
	~~\| E \|\| 659.26 \|\| 2{{sup\|7/12}} \|\| 1.498307~~
	\|-
	~~\| F \|\| 698.46 \|\| 2{{sup\|8/12}} \|\| 1.587401~~
	\|-
	~~\| F{{music\|#}}/G{{music\|b}} \|\| 739.99 \|\| 2{{sup\|9/12}} \|\| 1.681792~~
	\|-
	~~\| G \|\| 783.99 \|\| 2{{sup\|10/12}} \|\| 1.781797~~
	\|-
	~~\| G{{music\|#}}/A{{music\|b}} \|\| 830.61 \|\| 2{{sup\|11/12}} \|\| 1.887748~~
	\|-
	~~\| A \|\| 880.00 \|\| 2{{sup\|12/12}} \|\| 2.000000~~
	\|}

	~~The final '''A''' (880 Hz) is twice the frequency of the lower '''A''' (440 Hz), that is, one octave higher.~~

	~~==Pitch adjustment=~~=
	Since the frequency ratio of a semitone is close to 106%, increasing or decreasing the playback speed of a recording by 6% will shift the pitch up or down one semitone, or "half-step". Upscale [[reel-to-reel audio tape recording\|reel-to-reel magnetic tape recorders]] typically have pitch adjustments of up to ±6%, generally used to match the playback or recording pitch to other music sources having slightly different tunings (or possibly recorded on equipment that was not running at quite the right speed). Modern recording studios utilize digital [[pitch shift]]ing to achieve the same results, ranging from [[cent (music)\|cents]] up to several half-steps.

	~~==History==~~

	The twelfth root of two was calculated accurately by the Chinese court [[astronomer]], [[historian]], [[physicist]] and [[mathematician]] [[Zhu Zaiyu, Prince of Zheng]] of the [[Ming Dynasty]]. In 1584, Zhu published a work 律呂精義 ''A clear explanation of that which concerns the ''律'' [equal temperament]''. Prince Zhu made note of the difference between his ideal mathematically-tuned 呂 (ancient music instrument), which gave the theoretical music instrument lengths for 12-tone equal temperament correct to 25 places, implemented with an 81-column abacus and calculated the cubic root of the square root of the square root of 2, obtaining <math>\sqrt[3]{\sqrt{\sqrt{2}}} = \sqrt [12] {2} \approx 1.059463094359295264561825,</~~math> which coincidentally applied a form of [[Pythagorean tuning]].~~

	Calculated again in 1636 by the French mathematician [[Marin Mersenne]], and as the techniques for calculating [[logarithm]]s develop, the original approach for calculation would eventually become trivial.

	~~==See also==~~
	* [[Just intonation#Historical_reasons_for_disuse\|Just Intonation]]'s history of temperaments.
	* [[Music and mathematics]]
	* [[Piano key frequencies]]
	* [[Scientific pitch notation]]
	* [[Well-Tempered Clavier]]
	* [[Musical tuning]]
	* [[Nth root]]

	~~==Further reading==~~
	* Barbour, J.M.. ''A Sixteenth Century Approximation for Pi,'' The American Mathematical Monthly, Vol. 40, no. 2, 1933. Pp. 69–73.
	* Ellis, Alexander and Hermann Helmholtz. ''On the Sensations of Tone''. Dover Publications, 1954. ISBN 0-486-60753-4
	* Partch, Harry. ''[[Genesis of a Music]]''. Da Capo Press, 1974. ISBN 0-306-80106-X

	~~[[Category:Mathematical constants]]~~
	~~[[Category:Algebraic numbers]]~~
	~~[[Category:Irrational numbers]]~~
	~~[[Category:Musical tuning]~~]

en>Jim.henderson: /* Temperature coefficient of reactivity */ Fuel temperature coefficient of reactivity

2013-11-12T20:36:39Z

Temperature coefficient of reactivity: Fuel temperature coefficient of reactivity

← Older revision		Revision as of 22:36, 12 November 2013
Line 1:		Line 1:
	~~nervousness attacks know the signs when they~~'~~re having one. A number~~ of the telltale indicators that a person experiences throughout an anxiety assault embrace not solely physical symptoms of hysteria, but other signs as properly. Proceed studying to know extra about what to look out for once you think chances are you'~~ll be experiencing an anxiousness attack.~~<br><br>~~There are many various things that can set off a panic assault~~ , ~~so we must be aware~~ of ~~all of them~~. ~~Lately it appears as though individuals aren't too concerned with their well being~~, ~~consuming massive amounts of fast meals and exercising much less ceaselessly~~. ~~Low blood stress , among other issues, can certainly trigger a panic attack~~ or ~~on the very least make low carb diet one worse~~. ~~Cognitive~~-~~behavioral remedy~~ is ~~aimed toward thoughts~~, ~~in any other case called cognitions, in addition to behaviors~~. ~~It works~~ to ~~determine adverse thinking patterns that set off panic assaults which are~~ a ~~manifestation~~ of ~~anxiety dysfunction As soon as~~ the ~~ideas are recognized they will be challenged in an try and get rid~~ of ~~irrational beliefs that result in anxiousness All the pieces You Want To Know On Anxiety Disorder~~<br><br>~~Dustin Gomez administers coronary heart assault~~ . ~~For extra info on what happens to the physique during a heart attack, go to Baba [http:~~//~~Simpledietburnfat~~.~~com~~/~~simple~~-~~diet~~-~~exercises~~-to-~~lose~~-~~fat~~-~~fast~~/ ~~simple diet burn fat] Ramdev offer helpful yoga and his well being suggestions are very effective~~. ~~House remedies can work faster than allophonic medicines if used correctly~~. ~~learn extra Follow up with additional blood test for homocysteine will determine if the [http:~~//~~Www~~.~~alexa~~.~~com~~/~~search?q~~=~~dietary+adjustments&r~~=~~topsites_index&p~~=~~bigtop dietary adjustments] are adequate~~ or ~~if additional monitoring~~ or ~~vitamin remedy is required~~. ~~Nevertheless, the advice~~ to ~~drink eight~~ to ~~10 glasses~~ of ~~water every day is for people with wholesome kidneys. If you're already experiencing kidney illness signs~~, ~~it's essential~~ that ~~you simply seek~~ the ~~advice of your doctor concerning your water intake~~, ~~as extreme water retention may lead~~ to ~~severe well being issues like a coronary heart assault~~.~~<br><br>Hearing the heartbeat is usually brought on~~ by ~~many causes. Typically you expertise palpitations when nervous. Palpitations are also produced when~~ the ~~heart will increase its workload~~, ~~probably caused by stress~~, ~~nervousness~~ and ~~workload sometimes physical~~. ~~Citrus fruits additionally comprise histamine~~, ~~one other suspect in meals associated allergies~~. ~~A study at Texas Tech in El Paso TX discovered a correlation~~ between ~~excessive histamine levels and migraine assaults in vulnerable individuals. Antihistamines would appear to be a logical choice for therapy!~~(~~three~~) ~~Synephrine is a stimulant that raises blood pressure~~, which ~~can also trigger migraines. It is theorized that migraine sufferers~~ with ~~citrus allergy can achieve relief from low dosage~~ of ~~every day blood strain remedy.~~<br><br>~~Extreme anxiousness disorders are extremely treatable but require medical diagnosis~~. ~~In case you suppose you may be experiencing any~~ of ~~these disorders, contact your healthcare practitioner instantly~~. ~~Totally different approaches that embrace medicine~~ and ~~cognitive~~-~~behavioral therapies (corresponding to publicity remedy) are proving to be very profitable~~. ~~When you~~'~~ve got power nervousness~~, ~~this response could reduce nevertheless it never will get turned off~~, ~~even when there is~~ no ~~palpable risk~~. ~~Over time your nervousness signs may be triggered by less~~ and ~~less severe occasions as a result~~ of ~~your limbic system has been sensitized to react in a highly anxious approach~~. ~~Medication is being prescribed with abandon for anxiety~~. ~~Frightened~~ of ~~flying? Take~~ a ~~Xanax~~. ~~Cannot sleep? Take an Ambien. Shy at parties? Attempt a BuSpar~~.		{{no footnotes\|date=June 2011}}
			The '''twelfth root of two''' or <math>\sqrt[12]{2}</math> is an [[algebraic number\|algebraic]] [[irrational number]]. It is most important in [[music theory]], where it represents the [[frequency]] [[ratio]] of a [[semitone]] in [[Twelve-tone equal temperament]].

			==Numerical value==
			Its value is 1.05946309435929..., which is slightly more than {{frac\|18\|17}} ≈ 1.0588. Better approximations are {{frac\|196\|185}} ≈ 1.059459 or {{frac\|18904\|17843}} ≈ 1.0594630948.

			==The equal-tempered chromatic scale==

			Since a [[interval (music)\|musical interval]] is a ratio of frequencies, the equal-tempered chromatic scale divides the [[octave]] (which has a ratio of 2:1) into [[12 (number)\|twelve]] equal parts.

			Applying this value successively to the tones of a chromatic scale, starting from '''A''' above [[middle C\|middle '''C''']] with a frequency of 440 Hz, produces the following sequence of [[pitch (music)\|pitch]]es:
			{\| class="wikitable" style="text-align: center"
			! Note<br/>
			! Frequency<br/> Hz
			! Multiplier<br/>
			! Coefficient<br/>(to six places)
			\|-
			\| A \|\| 440.00 \|\| 2{{sup\|0/12}} \|\| 1.000000
			\|-
			\| A{{music\|#}}/B{{music\|b}} \|\| 466.16 \|\| 2{{sup\|1/12}} \|\| 1.059463
			\|-
			\| B \|\| 493.88 \|\| 2{{sup\|2/12}} \|\| 1.122462
			\|-
			\| C \|\| 523.25 \|\| 2{{sup\|3/12}} \|\| 1.189207
			\|-
			\| C{{music\|#}}/D{{music\|b}} \|\| 554.37 \|\| 2{{sup\|4/12}} \|\| 1.259921
			\|-
			\| D \|\| 587.33 \|\| 2{{sup\|5/12}} \|\| 1.334839
			\|-
			\| D{{music\|#}}/E{{music\|b}} \|\| 622.25 \|\| 2{{sup\|6/12}} \|\| 1.414213
			\|-
			\| E \|\| 659.26 \|\| 2{{sup\|7/12}} \|\| 1.498307
			\|-
			\| F \|\| 698.46 \|\| 2{{sup\|8/12}} \|\| 1.587401
			\|-
			\| F{{music\|#}}/G{{music\|b}} \|\| 739.99 \|\| 2{{sup\|9/12}} \|\| 1.681792
			\|-
			\| G \|\| 783.99 \|\| 2{{sup\|10/12}} \|\| 1.781797
			\|-
			\| G{{music\|#}}/A{{music\|b}} \|\| 830.61 \|\| 2{{sup\|11/12}} \|\| 1.887748
			\|-
			\| A \|\| 880.00 \|\| 2{{sup\|12/12}} \|\| 2.000000
			\|}

			The final '''A''' (880 Hz) is twice the frequency of the lower '''A''' (440 Hz), that is, one octave higher.

			==Pitch adjustment==
			Since the frequency ratio of a semitone is close to 106%, increasing or decreasing the playback speed of a recording by 6% will shift the pitch up or down one semitone, or "half-step". Upscale [[reel-to-reel audio tape recording\|reel-to-reel magnetic tape recorders]] typically have pitch adjustments of up to ±6%, generally used to match the playback or recording pitch to other music sources having slightly different tunings (or possibly recorded on equipment that was not running at quite the right speed). Modern recording studios utilize digital [[pitch shift]]ing to achieve the same results, ranging from [[cent (music)\|cents]] up to several half-steps.

			==History==

			The twelfth root of two was calculated accurately by the Chinese court [[astronomer]], [[historian]], [[physicist]] and [[mathematician]] [[Zhu Zaiyu, Prince of Zheng]] of the [[Ming Dynasty]]. In 1584, Zhu published a work 律呂精義 ''A clear explanation of that which concerns the ''律'' [equal temperament]''. Prince Zhu made note of the difference between his ideal mathematically-tuned 呂 (ancient music instrument), which gave the theoretical music instrument lengths for 12-tone equal temperament correct to 25 places, implemented with an 81-column abacus and calculated the cubic root of the square root of the square root of 2, obtaining <math>\sqrt[3]{\sqrt{\sqrt{2}}} = \sqrt [12] {2} \approx 1.059463094359295264561825,</math> which coincidentally applied a form of [[Pythagorean tuning]].

			Calculated again in 1636 by the French mathematician [[Marin Mersenne]], and as the techniques for calculating [[logarithm]]s develop, the original approach for calculation would eventually become trivial.

			==See also==
			* [[Just intonation#Historical_reasons_for_disuse\|Just Intonation]]'s history of temperaments.
			* [[Music and mathematics]]
			* [[Piano key frequencies]]
			* [[Scientific pitch notation]]
			* [[Well-Tempered Clavier]]
			* [[Musical tuning]]
			* [[Nth root]]

			==Further reading==
			* Barbour, J.M.. ''A Sixteenth Century Approximation for Pi,'' The American Mathematical Monthly, Vol. 40, no. 2, 1933. Pp. 69–73.
			* Ellis, Alexander and Hermann Helmholtz. ''On the Sensations of Tone''. Dover Publications, 1954. ISBN 0-486-60753-4
			* Partch, Harry. ''[[Genesis of a Music]]''. Da Capo Press, 1974. ISBN 0-306-80106-X

			[[Category:Mathematical constants]]
			[[Category:Algebraic numbers]]
			[[Category:Irrational numbers]]
			[[Category:Musical tuning]]

en>FrescoBot: Bot: link syntax/spacing

2012-07-12T23:10:51Z

Bot: link syntax/spacing

New page

nervousness attacks know the signs when they're having one. A number of the telltale indicators that a person experiences throughout an anxiety assault embrace not solely physical symptoms of hysteria, but other signs as properly. Proceed studying to know extra about what to look out for once you think chances are you'll be experiencing an anxiousness attack. There are many various things that can set off a panic assault , so we must be aware of all of them. Lately it appears as though individuals aren't too concerned with their well being, consuming massive amounts of fast meals and exercising much less ceaselessly. Low blood stress , among other issues, can certainly trigger a panic attack or on the very least make low carb diet one worse. Cognitive-behavioral remedy is aimed toward thoughts, in any other case called cognitions, in addition to behaviors. It works to determine adverse thinking patterns that set off panic assaults which are a manifestation of anxiety dysfunction As soon as the ideas are recognized they will be challenged in an try and get rid of irrational beliefs that result in anxiousness All the pieces You Want To Know On Anxiety Disorder Dustin Gomez administers coronary heart assault . For extra info on what happens to the physique during a heart attack, go to Baba [http://Simpledietburnfat.com/simple-diet-exercises-to-lose-fat-fast/ simple diet burn fat] Ramdev offer helpful yoga and his well being suggestions are very effective. House remedies can work faster than allophonic medicines if used correctly. learn extra Follow up with additional blood test for homocysteine will determine if the [http://Www.alexa.com/search?q=dietary+adjustments&r=topsites_index&p=bigtop dietary adjustments] are adequate or if additional monitoring or vitamin remedy is required. Nevertheless, the advice to drink eight to 10 glasses of water every day is for people with wholesome kidneys. If you're already experiencing kidney illness signs, it's essential that you simply seek the advice of your doctor concerning your water intake, as extreme water retention may lead to severe well being issues like a coronary heart assault. Hearing the heartbeat is usually brought on by many causes. Typically you expertise palpitations when nervous. Palpitations are also produced when the heart will increase its workload, probably caused by stress, nervousness and workload sometimes physical. Citrus fruits additionally comprise histamine, one other suspect in meals associated allergies. A study at Texas Tech in El Paso TX discovered a correlation between excessive histamine levels and migraine assaults in vulnerable individuals. Antihistamines would appear to be a logical choice for therapy!(three) Synephrine is a stimulant that raises blood pressure, which can also trigger migraines. It is theorized that migraine sufferers with citrus allergy can achieve relief from low dosage of every day blood strain remedy. Extreme anxiousness disorders are extremely treatable but require medical diagnosis. In case you suppose you may be experiencing any of these disorders, contact your healthcare practitioner instantly. Totally different approaches that embrace medicine and cognitive-behavioral therapies (corresponding to publicity remedy) are proving to be very profitable. When you've got power nervousness, this response could reduce nevertheless it never will get turned off, even when there is no palpable risk. Over time your nervousness signs may be triggered by less and less severe occasions as a result of your limbic system has been sensitized to react in a highly anxious approach. Medication is being prescribed with abandon for anxiety. Frightened of flying? Take a Xanax. Cannot sleep? Take an Ambien. Shy at parties? Attempt a BuSpar.