Pythagorean comma - Revision history

en>Whygreen44: /* History */ Connecting 3-limit intervals to jazz theory

2014-11-02T09:44:19Z

History: Connecting 3-limit intervals to jazz theory

← Older revision		Revision as of 11:44, 2 November 2014
Line 1:		Line 1:
	~~{{wiktionary\|pound-force\|pound}}~~		Good to meet up you, I'm Solomon Cosner. Circulating production is my day job today but I anticipate changing it. For years I Have been surviving in Tennessee. My partner doesn't like it the way I do but what I actually like doing is always to barrier and I'm attempting to make it a career.<br><br>Here is my website [http://www.linkedin.com/pub/jordan-kurland/a/618/581 Jordan Kurland]
	~~{{redirect\|Klbf\|the airport in North Platte~~, ~~Nebraska, assigned the ICAO code KLBF\|North Platte Regional Airport}}~~
	~~{{Two other uses\| \|the unit of mass\|Pound (mass)\|the basis weight of paper\|Paper density}}~~
	~~The~~ '''pound''' or '''pound force''' (symbol: '''lb, lb<sub>f</sub>, lbf''') is a [[Units of measurement\|unit]] of [[force]] in some [[systems of measurement]] including English engineering units and British gravitational units.~~<ref>[http://www.engineeringtoolbox.com/mass-weight-d_589.html The Engineering ToolBox]</ref>~~

	~~== Definitions ==~~

	~~The pound-force~~ is ~~equal to the gravitational force exerted on a [[mass]] of one [[Pound_(mass)#Avoirdupois_pound\|avoirdupois pound]] on the surface of [[Earth]]~~. ~~Since the 18th century, the unit has~~ been ~~used~~ in low-precision measurements, for which small changes in [[gravity (Earth)\|Earth's gravity]] (which varies from place to place by up to half a percent) can safely be neglected.<ref>Acceleration due to gravity varies over the surface of the Earth, generally increasing from about 9.78 m/s<sup>2</sup> (32.1 ft/s<sup>2</sup>) at the equator to about 9.83 m/s<sup>2</sup> (32.3 ft/s<sup>2</sup>) at the poles.</ref>

	~~The 20th century, however, brought the need for a more precise definition. A standardized value for acceleration due to gravity was therefore needed~~. ~~Today, in accordance with~~ the ~~[[General Conference on Weights and Measures]], [[standard gravity]]~~ is ~~usually taken~~ to ~~be 9.80665 ~~m~~/s<sup>2</sup> (32.174 049 ft/s<sup>2</sup>).<ref> In 1901 the [http://www1.bipm.org/en/CGPM/db/3/2/ third CGPM] declared (second resolution) that:~~
	~~<blockquote>The value adopted in the International Service of Weights and Measures for the standard acceleration due~~ to ~~Earth's gravity is 980.665 cm/s<sup>2</sup>, value already stated in the laws of some countries.</blockquote>~~
	~~This value was the conventional reference for calculating the [[kilogram-force]],~~ a ~~unit of force whose use has been deprecated since the introduction of SI~~.<~~/ref~~><~~ref~~>~~Barry N. Taylor, ''~~[http://~~physics~~.~~nist~~.~~gov~~/~~Pubs/SP811/sp811.html/appenB8.html#P Guide for the Use of the International System of Units (SI)]'', 1995, [[NIST]] Special Publication 811, Appendix B note 24<~~/~~ref>~~

	~~The acceleration of the [[Standard gravity\|standard gravitational field]] (''g''<sub>n</sub>) and the [[Pound (mass)#International pound\|international avoirdupois pound]] (lbm) define the pound~~-~~force as:<ref>The international avoirdupois pound is defined to be exactly 0.45359237 kg.<~~/~~ref>~~
	~~:<math>\begin{align}~~
	~~1\,\mathrm{lbf} &= 1\,\mathrm{lbm} \times g_{\rm n} \\~~
	~~&= 1\,\mathrm{lbm} \times 32.174049\,\mathrm{\tfrac{ft}{s^2}}\\~~
	~~&= 32.174049\,\mathrm{\tfrac{ft {\cdot} lbm}{s^2}}\end{align}</math>~~

	~~:<math>\begin{align}~~
	~~or\end{align}</math>~~

	~~:<math>\begin{align}~~
	~~1\,\mathrm{lbf} &= 0.45359237\,\mathrm{kg} \times 9.80665\,\mathrm{\tfrac{m}{s^2}}\\~~
	~~&= 4.4482216152605\,\mathrm{N} \text{ (exact)}\end{align}</math>~~

	This definition can be rephrased in terms of the [[slug (mass)\|slug]]. A slug has a mass of 32.174049 lbm. A pound-force is the amount of force required to accelerate a slug at a rate of 1 ft/s<sup>2</sup>, so:
	~~:<math> 1\,\mathrm{lbf} = 1\,\mathrm{slug} \times 1\,\mathrm{\tfrac{ft}{s^2}} </math>~~
	~~:::<math> = 1\,\mathrm{slug}\,\mathrm{\tfrac{ft}{s^2}} </math>~~

	~~==Conversion to other units==~~

	~~{{Units of force}}~~

	~~== Foot-pound-second (FPS) systems of units ==~~
	In some contexts, the term "pound" is used almost exclusively to refer to the unit of force and not the unit of mass. In those applications, the preferred unit of mass is the [[Slug (mass)\|slug]], i.e. lb<sub>''f''</sub>·s<sup>2</sup>/ft. In other contexts, the unit "pound" refers to a [[Pound (mass)\|unit of mass]]. In circumstances where there may otherwise be ambiguity, the symbols "lb<sub>''f''</sub>" and "lb<sub>''m''</sub>" and the terms "pounds-force" and "pounds-mass" can be used to distinguish.

	~~{{GravEngAbs}}~~
	In the gravitational systems, the [[weight]] of the mass unit (pound-mass) on Earth's surface is approximately equal to the force unit (pound-force). This is convenient because one pound mass exerts one pound force due to gravity. Note, however, unlike the other systems the force unit is not equal to the mass unit multiplied by the acceleration unit<ref>The acceleration unit is the distance unit divided by the time unit squared.</~~ref>—the use of [[Newton's laws of motion\|Newton's Second Law]], ''F = m·a'', requires another factor, ''g<sub>c<~~/~~sub>'', usually taken to be 32.174049 lb<sub>m</sub>·ft/lb<sub>f</sub>·s<sup>2</sup> = 32.174049 lb<sub>m</sub>/slug.~~
	"Absolute" systems are ''coherent'' systems of units: by using the slug as the unit of mass, the "engineering" FPS system avoids the need for such a constant. The [[SI]] is an "absolute" metric system with kilogram and meter as base units...

	~~== See also ==~~
	~~{{div col\|2}}~~
	* [[Foot-pound (energy)]]
	* [[Ton-force]]
	* [[Kip (unit)]]
	* [[Mass in general relativity ]]
	* [[Mass in special relativity ]]
	* [[Mass versus weight]] for the difference between the two physical properties
	* [[Newton (unit)\|Newton]]
	* [[Poundal]]
	* [[Pounds per square inch]], a unit of [[pressure]]
	~~{{div col end}}~~

	~~== Notes and references ==~~
	* Obert, Edward F., “THERMODYNAMICS”, D.J. Leggett Book Company Inc., New York 1948; Chapter I, Survey of Dimensions and Units, pages 1-24.
	~~{{reflist}}~~
	~~{{reflist\|group=ref}}~~

	~~[[Category:Units of force]]~~
	~~[[Category:Imperial units]]~~
	~~[[Category:Customary units of measurement in the United States]~~]

en>Mannix Chan at 04:04, 26 January 2014

2014-01-26T04:04:59Z

← Older revision		Revision as of 06:04, 26 January 2014
Line 1:		Line 1:
	~~While certain weight~~-~~loss supplements contain raspberry ketones~~, ~~they also contain copious amounts~~ of ~~caffeine~~, ~~that we don~~'~~t desire when you~~'~~re already washing down the supplements with coffee or tea~~.<br><br>~~Beans are loaded with soluble fiber, which promotes superior bacteria inside~~ the ~~gut, thus reducing inflammation connected to stomach fat. Ignite~~ a ~~bodys fat-blasting furnace with beans~~. ~~Theyll keep you full~~, ~~and are high inside resistant starch~~, ~~meaning that~~ half ~~the calories consumed cannot~~ be ~~absorbed~~. ~~They equally lower blood glucose, and create~~ the ~~fatty acid butyrate~~, ~~which could burn fat faster~~.<br><br>~~Heart patients or those having heart beat issue are suggested not~~ to ~~use raspberry ketone in excess~~. ~~In fact, it is better for such patients to stay away from it~~.<br><br>~~Red Raspberry leaves are especially beneficial to~~ the ~~wellness of numerous folks~~. ~~Red Raspberry leaves can be selected~~ to ~~treat a broad variety of issues~~. ~~Here I can discuss~~ the ~~ways Red raspberry leaves~~ is ~~chosen, any recognized side effects and how~~ to ~~determine the correct dosage~~.<br><br>~~We all wish a "magic pill" which may solve our problems -~~ and ~~that~~'s ~~especially true with regards to weight loss~~. ~~And~~ the Dr. ~~Oz show has become~~ the go-~~to source for numerous dieters hoping to obtain~~ a ~~diet solution which works~~. ~~Take Dr~~. Oz'~~s #1 "diet miracle in a bottle"~~ [http://~~safedietplansforwomen~~.~~com~~/~~raspberry-ketones raspberry ketones~~], ~~for example: so many people~~, ~~not surprisingly~~, ~~are taking it that various shops are reporting they~~'~~re sold out~~. ~~Another rapid fat loss supplement touted by Dr~~. Oz: ~~African mango~~, ~~that he states can help you lose 5 to 10 pounds quickly~~. ~~And then there'~~s ~~saffron extract~~: ~~Dr. Oz recommends it to suppress the appetite plus curb carb cravings.~~<br><br>~~Ketones are broken down fat cells~~. ~~When your body cannot utilize carbohydrates~~, ~~the bodies preferred source of energy~~, ~~for your power requirements, it begins to break down fat~~, a ~~stored shape~~ of ~~power~~. ~~Although this might appear raspberry ketone diet like~~ a ~~positive thing, it isn't. When~~ a ~~body is breaking down fat rather~~ of ~~carbohydrates~~, ~~it means~~ 1 of ~~two aspects~~. ~~One~~, ~~your body~~ is ~~inside starvation mode~~, ~~or two~~, ~~you~~ may be ~~enduring diabetes. If a urine plus breath smell unusually sweet~~, ~~ketones are likely present.~~<br><br>~~If you achieve rapid fat reduction without exercise plus without fat loss~~, ~~that~~'s ~~not~~ the ~~sort of weight loss you desire~~. This ~~kind of weight reduction causes we~~ to ~~still have significant body fat plus lost muscle mass~~. ~~You may regain~~ the ~~fat whenever you start~~ to ~~consume regularly again~~.<br><br>~~The most crucial thing~~ to ~~know is that there are no shortcuts to weight loss~~. ~~Slimming pills~~ are ~~not because damaging to your wellness~~ as ~~they were ten years ago~~, ~~plus several are incredibly healthy~~ and ~~will boost your vitality degrees plus fat reduction results greatly~~. ~~With~~ a ~~little analysis~~, ~~there are the medications that support the body~~, ~~rather than holding it back~~.		{{wiktionary\|pound-force\|pound}}
			{{redirect\|Klbf\|the airport in North Platte, Nebraska, assigned the ICAO code KLBF\|North Platte Regional Airport}}
			{{Two other uses\| \|the unit of mass\|Pound (mass)\|the basis weight of paper\|Paper density}}
			The '''pound''' or '''pound force''' (symbol: '''lb, lb<sub>f</sub>, lbf''') is a [[Units of measurement\|unit]] of [[force]] in some [[systems of measurement]] including English engineering units and British gravitational units.<ref>[http://www.engineeringtoolbox.com/mass-weight-d_589.html The Engineering ToolBox]</ref>

			== Definitions ==

			The pound-force is equal to the gravitational force exerted on a [[mass]] of one [[Pound_(mass)#Avoirdupois_pound\|avoirdupois pound]] on the surface of [[Earth]]. Since the 18th century, the unit has been used in low-precision measurements, for which small changes in [[gravity (Earth)\|Earth's gravity]] (which varies from place to place by up to half a percent) can safely be neglected.<ref>Acceleration due to gravity varies over the surface of the Earth, generally increasing from about 9.78 m/s<sup>2</sup> (32.1 ft/s<sup>2</sup>) at the equator to about 9.83 m/s<sup>2</sup> (32.3 ft/s<sup>2</sup>) at the poles.</ref>

			The 20th century, however, brought the need for a more precise definition. A standardized value for acceleration due to gravity was therefore needed. Today, in accordance with the [[General Conference on Weights and Measures]], [[standard gravity]] is usually taken to be 9.80665 m/s<sup>2</sup> (32.174 049 ft/s<sup>2</sup>).<ref> In 1901 the [http://www1.bipm.org/en/CGPM/db/3/2/ third CGPM] declared (second resolution) that:
			<blockquote>The value adopted in the International Service of Weights and Measures for the standard acceleration due to Earth's gravity is 980.665 cm/s<sup>2</sup>, value already stated in the laws of some countries.</blockquote>
			This value was the conventional reference for calculating the [[kilogram-force]], a unit of force whose use has been deprecated since the introduction of SI.</ref><ref>Barry N. Taylor, ''[http://physics.nist.gov/Pubs/SP811/sp811.html/appenB8.html#P Guide for the Use of the International System of Units (SI)]'', 1995, [[NIST]] Special Publication 811, Appendix B note 24</ref>

			The acceleration of the [[Standard gravity\|standard gravitational field]] (''g''<sub>n</sub>) and the [[Pound (mass)#International pound\|international avoirdupois pound]] (lbm) define the pound-force as:<ref>The international avoirdupois pound is defined to be exactly 0.45359237 kg.</ref>
			:<math>\begin{align}
			1\,\mathrm{lbf} &= 1\,\mathrm{lbm} \times g_{\rm n} \\
			&= 1\,\mathrm{lbm} \times 32.174049\,\mathrm{\tfrac{ft}{s^2}}\\
			&= 32.174049\,\mathrm{\tfrac{ft {\cdot} lbm}{s^2}}\end{align}</math>

			:<math>\begin{align}
			or\end{align}</math>

			:<math>\begin{align}
			1\,\mathrm{lbf} &= 0.45359237\,\mathrm{kg} \times 9.80665\,\mathrm{\tfrac{m}{s^2}}\\
			&= 4.4482216152605\,\mathrm{N} \text{ (exact)}\end{align}</math>

			This definition can be rephrased in terms of the [[slug (mass)\|slug]]. A slug has a mass of 32.174049 lbm. A pound-force is the amount of force required to accelerate a slug at a rate of 1 ft/s<sup>2</sup>, so:
			:<math> 1\,\mathrm{lbf} = 1\,\mathrm{slug} \times 1\,\mathrm{\tfrac{ft}{s^2}} </math>
			:::<math> = 1\,\mathrm{slug}\,\mathrm{\tfrac{ft}{s^2}} </math>

			==Conversion to other units==

			{{Units of force}}

			== Foot-pound-second (FPS) systems of units ==
			In some contexts, the term "pound" is used almost exclusively to refer to the unit of force and not the unit of mass. In those applications, the preferred unit of mass is the [[Slug (mass)\|slug]], i.e. lb<sub>''f''</sub>·s<sup>2</sup>/ft. In other contexts, the unit "pound" refers to a [[Pound (mass)\|unit of mass]]. In circumstances where there may otherwise be ambiguity, the symbols "lb<sub>''f''</sub>" and "lb<sub>''m''</sub>" and the terms "pounds-force" and "pounds-mass" can be used to distinguish.

			{{GravEngAbs}}
			In the gravitational systems, the [[weight]] of the mass unit (pound-mass) on Earth's surface is approximately equal to the force unit (pound-force). This is convenient because one pound mass exerts one pound force due to gravity. Note, however, unlike the other systems the force unit is not equal to the mass unit multiplied by the acceleration unit<ref>The acceleration unit is the distance unit divided by the time unit squared.</ref>—the use of [[Newton's laws of motion\|Newton's Second Law]], ''F = m·a'', requires another factor, ''g<sub>c</sub>'', usually taken to be 32.174049 lb<sub>m</sub>·ft/lb<sub>f</sub>·s<sup>2</sup> = 32.174049 lb<sub>m</sub>/slug.
			"Absolute" systems are ''coherent'' systems of units: by using the slug as the unit of mass, the "engineering" FPS system avoids the need for such a constant. The [[SI]] is an "absolute" metric system with kilogram and meter as base units...

			== See also ==
			{{div col\|2}}
			* [[Foot-pound (energy)]]
			* [[Ton-force]]
			* [[Kip (unit)]]
			* [[Mass in general relativity ]]
			* [[Mass in special relativity ]]
			* [[Mass versus weight]] for the difference between the two physical properties
			* [[Newton (unit)\|Newton]]
			* [[Poundal]]
			* [[Pounds per square inch]], a unit of [[pressure]]
			{{div col end}}

			== Notes and references ==
			* Obert, Edward F., “THERMODYNAMICS”, D.J. Leggett Book Company Inc., New York 1948; Chapter I, Survey of Dimensions and Units, pages 1-24.
			{{reflist}}
			{{reflist\|group=ref}}

			[[Category:Units of force]]
			[[Category:Imperial units]]
			[[Category:Customary units of measurement in the United States]]

en>Helpful Pixie Bot: ISBNs (Build J/)

2012-03-24T22:32:34Z

ISBNs (Build J/)

New page

While certain weight-loss supplements contain raspberry ketones, they also contain copious amounts of caffeine, that we don't desire when you're already washing down the supplements with coffee or tea. Beans are loaded with soluble fiber, which promotes superior bacteria inside the gut, thus reducing inflammation connected to stomach fat. Ignite a bodys fat-blasting furnace with beans. Theyll keep you full, and are high inside resistant starch, meaning that half the calories consumed cannot be absorbed. They equally lower blood glucose, and create the fatty acid butyrate, which could burn fat faster. Heart patients or those having heart beat issue are suggested not to use raspberry ketone in excess. In fact, it is better for such patients to stay away from it. Red Raspberry leaves are especially beneficial to the wellness of numerous folks. Red Raspberry leaves can be selected to treat a broad variety of issues. Here I can discuss the ways Red raspberry leaves is chosen, any recognized side effects and how to determine the correct dosage. We all wish a "magic pill" which may solve our problems - and that's especially true with regards to weight loss. And the Dr. Oz show has become the go-to source for numerous dieters hoping to obtain a diet solution which works. Take Dr. Oz's #1 "diet miracle in a bottle" [http://safedietplansforwomen.com/raspberry-ketones raspberry ketones], for example: so many people, not surprisingly, are taking it that various shops are reporting they're sold out. Another rapid fat loss supplement touted by Dr. Oz: African mango, that he states can help you lose 5 to 10 pounds quickly. And then there's saffron extract: Dr. Oz recommends it to suppress the appetite plus curb carb cravings. Ketones are broken down fat cells. When your body cannot utilize carbohydrates, the bodies preferred source of energy, for your power requirements, it begins to break down fat, a stored shape of power. Although this might appear raspberry ketone diet like a positive thing, it isn't. When a body is breaking down fat rather of carbohydrates, it means 1 of two aspects. One, your body is inside starvation mode, or two, you may be enduring diabetes. If a urine plus breath smell unusually sweet, ketones are likely present. If you achieve rapid fat reduction without exercise plus without fat loss, that's not the sort of weight loss you desire. This kind of weight reduction causes we to still have significant body fat plus lost muscle mass. You may regain the fat whenever you start to consume regularly again. The most crucial thing to know is that there are no shortcuts to weight loss. Slimming pills are not because damaging to your wellness as they were ten years ago, plus several are incredibly healthy and will boost your vitality degrees plus fat reduction results greatly. With a little analysis, there are the medications that support the body, rather than holding it back.