96.5.47.244: Undid revision 637499359 by 96.5.47.244 (talk)

2014-12-10T17:55:18Z

Undid revision 637499359 by 96.5.47.244 (talk)

Show changes

en>K6ka: Reverted edits by 139.130.219.221 (talk): unexplained content removal (HG)

2014-03-03T01:58:00Z

Reverted edits by 139.130.219.221 (talk): unexplained content removal (HG)

Show changes

en>Stismail: /* Overview */ It's "in kelvins," not "in kelvin" (kelvins are units just like, say, joules or watts)

2014-01-15T03:32:04Z

Overview: It's "in kelvins," not "in kelvin" (kelvins are units just like, say, joules or watts)

← Older revision		Revision as of 05:32, 15 January 2014
Line 1:		Line 1:
	~~Anyone whom has been on~~ a ~~diet uses~~ '~~calorie math~~': in the ~~event you burn more calories than you eat~~, ~~you'll lose weight~~. ~~But~~ the math ~~will receive a small complicated~~. ~~There are bodily and mental challenges to figuring out~~ the ~~appropriate amount of calories~~ to ~~take~~ in to ~~lose fat plus maintain which weight reduction~~.<br><br>~~One other variable which could greatly affect a fat loss efforts~~ is ~~whether you~~'~~re properly measuring~~ the ~~caloric intake. Even the most accurate [http:~~//~~safedietplans~~.~~com/bmr~~-~~calculator bmr calculator] inside~~ the ~~planet cannot help you~~ in the ~~event you are~~ not ~~monitoring the calories properly~~. ~~There are numerous online calorie counting plus food journaling websites~~ to ~~help you~~ do this~~, yet several difficult work on your piece~~ is ~~needed~~. ~~Make sure we are weighing plus measuring your servings properly!~~<br><br>~~BMR stands for basal metabolic rate and is the number of calories a body burns at rest~~ to ~~keep normal body functions, irrespective of exercise. These calories are used for your body'~~s ~~general everyday functions including breathing~~, ~~digestion, keeping all organs functioning, blood pumping, etc. Physical activity straight affects a BMR raising it throughout~~ (~~plus keeping it raised even after) moderate exercise. Also~~, the ~~BMR increases with~~ the ~~increase of muscles (another reason~~ to ~~lift those weights!~~).~~<br><br>Carbs, whenever converted to glucose~~, are ~~utilized mainly for energy. Foods which are classified basically as carbs include: grains plus their flours~~, ~~potatoes~~, ~~sugars (all forms), fruits, greens, and anything made~~ of ~~them~~.~~<br><br>By utilizing~~ the ~~figure~~ the ~~bmr x PAL gives we it usually provide a superior indication~~ of ~~the calories you can consume~~ in ~~a day~~. ~~This figure may provide you a guide because~~ to ~~how numerous calories~~ the ~~body demands to maintain~~, ~~lose or gain fat~~.~~<br><br>Psychologists state which individuals that experience a sense of insecurity~~, ~~which will be due to real or imagined threats~~, ~~might find solace plus protection inside food. This results~~ in ~~food cravings plus psychological binge eating.<br><br>Feel like eating a little more? Use exercise to create sewme of that caloric deficit. Maybe be 500 calories below a BMI with diet~~, and ~~exercise which day for another 500 calorie expenditure. Are we still hungry? Thais okay.~~ It'~~s alright to be hungry time to time whilst you~~'~~re losing fat plus extending a existence~~. ~~Anytime we feel a small hungry, keep in mind which any stomach grumbling is really the sewund of that fat dying~~.		{{Quantum field theory\|cTopic=Tools}}
			In [[quantum field theory]], we have a [[generating functional]], Z[J] of [[Correlation function (quantum field theory)\|correlation functions]] and this value, called the '''partition function''' is usually expressed by something like the following [[functional integral]]:

			:<math>Z[J] = \int \mathcal{D}\phi e^{i(S[\phi]+\int d^dx J(x)\phi(x))}</math>

			where S is the [[Action (physics)\|action]] [[functional (mathematics)\|functional]].

			The partition function in quantum field theory is a special case of the [[partition function (mathematics)\|mathematical partition function]], and is related to the [[partition function (statistical mechanics)\|statistical partition function]] in statistical mechanics. The primary difference is that the [[countable]] collection of [[random variable]]s seen in the definition of such simpler partition functions has been replaced by an uncountable set, thus necessitating the use of [[functional integral]]s over a field <math>\phi</math>.

			== Uses ==
			The prototypical use of the partition function is to obtain [[probability amplitude]]s in [[Feynman path integral]] by differentiating with respect to the [[Lagrange multiplier\|auxiliary function]] (sometimes called the ''current'') ''J''. Thus, for example:

			:<math>\langle G(x_1,x_2)\rangle = \left.
			-\frac{\delta}{\delta J(x_1)}
			\frac{\delta}{\delta J(x_2)} \log Z[J] \right\|_{J=0}
			</math>

			is the [[Green's function]], [[propagator]] or [[correlation function]] for the field <math>\phi</math> between points <math>x_1</math> and <math>x_2</math> in space.

			== Complex-valued action ==
			Unlike the partition function in statistical mechanics, the partition function in quantum field theory contains an extra factor of ''i'' in front of the action, making the integrand complex, not real. It is sometimes mistakenly implied that this has something to do with [[Wick rotation]]s; this is not so. Rather, the ''i'' has to do with the fact that the fields <math>\phi</math> are to be interpreted as quantum-mechanical [[probability amplitude]]s, taking on values in the [[complex projective space]] (complex [[Hilbert space]], but the emphasis is placed on the word ''projective'', because the probability amplitudes are still normalized to one). By contrast, more traditional partition functions involve random variables that are real-valued, and range over a [[simplex]]--a simplex, being a compact geometric domain admitting a cumulative sum of one. The factor of ''i'' can be understood to arise as the [[Jacobian matrix and determinant\|Jacobian]] of the natural measure of volume in complex projective space. For the (highly unusual) situation where the complex-valued probability amplitude is to be replaced by some other field taking on values in some other [[mathematical space]], the ''i'' would be replaced by the appropriate geometric factor (that is, the Jacobian) for that space.

			==Books==
			* [[Hagen Kleinert\|Kleinert, Hagen]], ''Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets'', 4th edition, World Scientific (Singapore, 2004); Paperback ISBN 981-238-107-4 '' (also available online: [http://www.physik.fu-berlin.de/~kleinert/b5 PDF-files])''

			[[Category:Quantum field theory]]


			{{quantum-stub}}

en>Widefox: Reverted edits by 121.54.58.153 (talk) to last revision by Pinethicket (HG)

2012-03-16T11:35:14Z

Reverted edits by 121.54.58.153 (talk) to last revision by Pinethicket (HG)

New page

Anyone whom has been on a diet uses 'calorie math': in the event you burn more calories than you eat, you'll lose weight. But the math will receive a small complicated. There are bodily and mental challenges to figuring out the appropriate amount of calories to take in to lose fat plus maintain which weight reduction. One other variable which could greatly affect a fat loss efforts is whether you're properly measuring the caloric intake. Even the most accurate [http://safedietplans.com/bmr-calculator bmr calculator] inside the planet cannot help you in the event you are not monitoring the calories properly. There are numerous online calorie counting plus food journaling websites to help you do this, yet several difficult work on your piece is needed. Make sure we are weighing plus measuring your servings properly! BMR stands for basal metabolic rate and is the number of calories a body burns at rest to keep normal body functions, irrespective of exercise. These calories are used for your body's general everyday functions including breathing, digestion, keeping all organs functioning, blood pumping, etc. Physical activity straight affects a BMR raising it throughout (plus keeping it raised even after) moderate exercise. Also, the BMR increases with the increase of muscles (another reason to lift those weights!). Carbs, whenever converted to glucose, are utilized mainly for energy. Foods which are classified basically as carbs include: grains plus their flours, potatoes, sugars (all forms), fruits, greens, and anything made of them. By utilizing the figure the bmr x PAL gives we it usually provide a superior indication of the calories you can consume in a day. This figure may provide you a guide because to how numerous calories the body demands to maintain, lose or gain fat. Psychologists state which individuals that experience a sense of insecurity, which will be due to real or imagined threats, might find solace plus protection inside food. This results in food cravings plus psychological binge eating. Feel like eating a little more? Use exercise to create sewme of that caloric deficit. Maybe be 500 calories below a BMI with diet, and exercise which day for another 500 calorie expenditure. Are we still hungry? Thais okay. It's alright to be hungry time to time whilst you're losing fat plus extending a existence. Anytime we feel a small hungry, keep in mind which any stomach grumbling is really the sewund of that fat dying.

Spontaneous process - Revision history

96.5.47.244: Undid revision 637499359 by 96.5.47.244 (talk)

en>K6ka: Reverted edits by 139.130.219.221 (talk): unexplained content removal (HG)

en>Stismail: /* Overview */ It's "in kelvins," not "in kelvin" (kelvins are units just like, say, joules or watts)

en>Widefox: Reverted edits by 121.54.58.153 (talk) to last revision by Pinethicket (HG)