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en>Trappist the monk: /* References */Fix CS1 deprecated coauthor parameter errors using AWB

2014-03-02T22:18:29Z

References: Fix CS1 deprecated coauthor parameter errors using AWB

← Older revision		Revision as of 00:18, 3 March 2014
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	~~{{Unreferenced\|date=December 2009}}~~		Then you definitely sustain a personal injury which is categorized as biomechanical pressure. As well as clearing any infection that may be present, Manuka Honey has a very potent anti-inflammatory action which soothes wounds and removes the inflammation which otherwise would stop it from healing. The organic market, although a minority, is rising in the UK and other countries. If you want to maintain with p - Henomenal because it makes you feel good and you know your healthy, that's fantastic. Some are known at birth, whilst others make an appearance later in life. <br><br>Despite the national interest in defeating the MRSA micro organism, the search for a suitable MRSA treatment persists. We are pouring acidity into our bodies with beverages such as coffee, tea, soda, wine, milk, etc. - (a) Herpes simplex- Cold sores and genital herps. The medical community throws everything it has at them but they have nothing left in their arsenal. It is interesting to note that about 30% of people carry the staph bacteria in their nose or on their skin. <br><br>One of the most wonderful things about honey is it does not expire. Mold may look unattractive when it appears in your house, but it is completely invisible in its most dangerous form: mold spores. SEE A DOCTOR: MRSA is commonly mistaken for a spider bite. - Equipments for exercise or other items that are being shared with others should be wiped properly before and after being used. If p - Henomenal is strong enough to do that, then how hard is it to maintain and keep the environment so that the bacteria does not come back. <br><br>There has been countless clinical studies that have proven Manuka Honey's ability to completely wipe out the superbugs associated with MRSA-related Staph infections. Locker room floors are a prime source for fungi that can lead to athlete's foot. Manuka Honey contains antioxidants that eliminate free radicals in the body. People with illnesses and the elderly are at a higher risk to die from MRSA infections. You can also consume 1-2 cloves of garlic a day to fight the fungal infection. <br><br>Should a wound has already been observable, be sure that you dress it carefully in order to avoid horse proud flesh. In other words, there is a free Hydrogen atom that finds and grabs up an Oxygen and binds to it. gov, one will find a large number of papers investigating the use of essential oils, both in liquid and in vapor phases. The key is to remove the acid--specifically Lactic Acid--from the body, because MRSA bacteria uses Lactic Acid to defend itself and also creates more as a byproduct. 5 to 3 month mark, it is time to go back in and get a blood test to find out if you are MRSA negative.<br><br>If you cherished this article along with you want to receive more details regarding how to cure mrsa - [http://www.midlanddistrictrailroadclub.info/sitemap/ his response], i implore you to visit our web-page.
	~~In [[information theory]], the '''cross entropy''' between two [[probability distribution]]s measures the average number of [[bit]]s needed to identify an event from~~ a ~~set of possibilities, if a coding scheme~~ is ~~used based on a given probability distribution <math>q</math>, rather than the "true" distribution <math>p</math>~~.

	~~The cross entropy for two distributions <math>p</math> and <math>q</math> over the same [[probability space]] is thus defined~~ as ~~follows:~~

	~~:<math>\mathrm{H}(p~~, ~~q) = \mathrm{E}_p[~~-~~\log q] = \mathrm{H}(p) + D_{\mathrm{KL}}(p \\| q),\!</math>~~

	~~where <math>\mathrm{H}(p)</math> is the [[information entropy\|entropy]] of <math>p</math>,~~ and ~~<math>D_{\mathrm{KL}}(p \|\| q)</math> is~~ the ~~[[Kullback-Leibler divergence]] of <math>q</math>~~ from ~~<math>p</math> (also known as the ''relative entropy'')~~.

	~~For [[discrete random variable\|discrete]] <math>p</math> and <math>q</math> this means~~

	~~:<math>\mathrm{H}(p, q) = -\sum_x p(x)\, \log q(x). \!</math>~~

	The ~~situation for [[continuous random variable\|continuous]] distributions is analogous:~~

	~~:<math>-\int_X p(x)\~~, ~~\log q(x)\, dx. \!</math>~~

	~~'''NB''': The notation <math>\mathrm{H}(p~~,~~q)</math>~~ is ~~sometimes used for both~~ the ~~cross entropy as well as the [[joint entropy]] of <math>~~p~~</math>~~ and ~~<math>q</math>.~~

	~~==Motivation==~~
	~~In information theory~~, ~~the [[Kraft~~'s inequality\|Kraft–McMillan theorem]] establishes that any directly decodable coding scheme for coding a message to identify one value ''x<sub>i</sub>'' out of a set of possibilities ''X'' can be seen as representing an ~~implicit probability distribution ''q''(''x''<sub>''i''</sub>) = 2<sup>−''l''<sub>''i''</sub></sup> over ''X'', where ''l~~<~~sub~~>i<~~/sub~~>~~'' is~~ the ~~length of~~ the ~~code for ''x<sub>i</sub>'' in bits. Therefore~~, ~~Cross entropy can be interpreted as~~ the ~~expected message-length per datum when a wrong distribution ''Q'' is assumed however the data actually follows~~ a ~~distribution ''P'' - that's why the expectation is taken over the probability distribution ''P'' and not ''Q''~~.

	~~:<math>\mathrm{H}(p~~, ~~q) = \mathrm{E}_p[l_i] = \mathrm{E}_p[\log \frac{1}{q(x_i)}]</math>~~
	~~:<math>\mathrm{H}(p~~, ~~q) = \sum_{x_i} p(x_i)\~~, ~~\log \frac{1}{q(x_i)} \!</math>~~
	~~:<math>\mathrm{H}(p~~, ~~q) =~~ -~~\sum_x p~~(~~x)\, \log q(x~~). ~~\!</math>~~

	~~==Estimation==~~
	~~There are many situations where cross-entropy needs to be measured~~ but ~~the distribution of <math>p</math> is unknown~~. ~~An example is [[language model]]ing, where a model is created based on a training set <math>T</math>, and then its cross-entropy~~ is ~~measured on a test set~~ to ~~assess how accurate~~ the ~~model is~~ in ~~predicting the test data~~. ~~In this example,~~ <~~math~~>p<~~/math~~> is ~~the true distribution of words~~ in ~~any corpus~~, ~~and <math>q</math>~~ is ~~the distribution of words as predicted by the model~~. ~~Since the true distribution~~ is ~~unknown, cross~~-~~entropy cannot~~ be ~~directly calculated~~. ~~In these cases, an estimate of cross~~-~~entropy~~ is ~~calculated using the following formula:~~

	~~:<math>H(T~~,~~q) = -\sum_{i=1}^N \frac{1}{N} \log_2 q(x_i)</math>~~

	~~where <math>N</math>~~ is ~~the size of the test set,~~ and ~~<math>q(x)</math> is~~ the ~~probability of event <math>x</math> estimated from~~ the ~~training set~~. ~~The sum is calculated over~~ <~~math~~>N<~~/math~~>. ~~This is~~ a ~~Monte Carlo estimate of~~ the ~~true cross entropy, where~~ the ~~training set is treated as samples~~ from ~~<math>p(x)</math>~~.

	~~==Cross~~-~~entropy minimization==~~
	~~Cross-entropy minimization is frequently used in optimization and rare-event probability estimation; see~~ the ~~[[cross-entropy method]]~~.

	~~When comparing a distribution~~ <~~math~~>q<~~/math~~> ~~against~~ a ~~fixed reference distribution <math>p</math>~~, ~~cross entropy~~ and ~~[[Kullback-Leibler divergence\|KL divergence]] are identical~~ up to an ~~additive constant (since <math>p</math> is fixed): both take on their minimal values when <math>p = q</math>, which is <math>0</math> for KL divergence,~~ and ~~<math>\mathrm{H}(p)</math> for cross entropy~~. ~~In the engineering literature~~, ~~the principle~~ of ~~minimising KL Divergence (Kullback's "[[Kullback-Leibler divergence#Principle of minimum discrimination information\|Principle of Minimum Discrimination Information]]") is often called~~ the ~~'''Principle~~ of ~~Minimum Cross-Entropy''' (MCE)~~, ~~or '''Minxent'''~~.

	~~However, as discussed in~~ the ~~article ''[[Kullback~~-~~Leibler divergence]]'', sometimes the distribution ''q'' is~~ the ~~fixed prior reference distribution~~, and ~~the distribution ''p'' is optimised to be~~ as ~~close~~ to ~~''q'' as possible~~, ~~subject~~ to ~~some constraint. In this case the two minimisations~~ are ~~''not'' equivalent~~. ~~This has led to some ambiguity in the literature, with some authors attempting to resolve the inconsistency by redefining cross-entropy to be ''D''~~<~~sub~~>KL<~~/sub~~>~~(''p''\|\|''q''), rather than ''H''(''p'',''q'').~~

	~~==See also==~~
	* [[Cross-~~entropy method]]~~

	* [[conditional entropy]]

	~~==External links==~~

	* [http://www.~~cse.unsw.edu~~.au/~~~billw~~/~~cs9444/crossentropy~~.~~html What is cross-entropy, and why use it?]~~

	~~{{DEFAULTSORT:Cross Entropy}}~~
	~~[[Category:Entropy and information]]~~

en>Mgkrupa: /* References */ Added {{Functional Analysis}} footer

2014-01-10T03:18:58Z

References: Added {{Functional Analysis}} footer

← Older revision		Revision as of 05:18, 10 January 2014
Line 1:		Line 1:
	~~Monoterpenes are excellent at supporting~~ the ~~body against~~ the ~~effects~~ of ~~carcinogens. Because our environment will continue~~ to ~~push~~ on us, ~~but will it get you out~~ of ~~this state~~, and ~~will it protect you. MRSA~~ (~~methicillin resistant staphylococcus aureus~~) is ~~an antibiotic~~-~~resistant bacterium that causes life-threatening infections. t leave cuts and wounds open and cover them up with bandages so that Staphylococcus Aureus bacteria can. Hospital infections can be some~~ of the ~~most deadly for staff and patients alike~~. <br><br>~~It has been proven that changing your diet has helped a lot of people get rid of their yeast infections. These incisions are made so that any necessary surgical instruments~~ and ~~the laparoscope can be passed through~~. - (a) ~~Herpes simplex- Cold sores~~ and ~~genital herps~~. ~~Failings within those strategies may mean~~ that a ~~compensation claim for medical negligence~~ can be ~~upheld in court. MRSA was originally only prevalent in healthcare facilities~~, ~~but has now become more community-based.~~ <br><br>~~One~~ of the ~~most wonderful things about honey is it does not expire~~. ~~If staph bacteria are ingested~~, ~~they~~ can ~~cause food poisoning. In fact,~~ the ~~best explanation~~ is that ~~Grover~~'s ~~Disease~~ is ~~a case of mistaken identity. Hopefully through~~ the ~~education of both doctors~~ and ~~patients~~, ~~efficacious natural treatments such as essential oils will eventually be embraced~~, ~~as given the scientific support~~, ~~they certainly deserve~~ to be. ~~Chances are you had~~ a ~~spot that popped up~~ on ~~your skin.~~ <br><br>~~You should be doing this any which way~~, ~~because this helps to produce urine~~ and ~~urinating frequently will help~~ to ~~flush out all~~ the ~~harmful bacteria and fungus that fester~~ in the ~~body~~. ~~Apply new dressing~~ and ~~make sure~~ the ~~open wound is completely covered~~. At the ~~same time it should~~ be ~~ensured that you wash your hand properly quite frequently~~. ~~Turmeric Root~~: ~~Turmeric is a brownish root often found in Indian cuisine. She ultimately uncovered a MRSA cure that originated in Asia.~~ <br><br>~~This~~ is ~~made possible through researchers who have mapped and published~~ the ~~genome~~ of ~~various pathogens~~, ~~making it easily accessible to anyone else who~~ is ~~researching~~ the ~~same type~~ of ~~pathogen~~. ~~There has been resistance with some~~ of ~~these antibiotics~~ as ~~well~~. ~~If you can catch her without too much stress, that~~ is, ~~if your chickens~~ are ~~comfortable with you picking them~~ up, ~~then check immediately. Wounds were often dressed in honey~~ and ~~it was used frequently~~ for ~~medicinal purposes~~. ~~“We have a lot~~ of ~~data from Chinese hospitals and it shows a very frightening picture~~ of ~~high~~-~~level antibiotic resistance~~,~~” said Dr Andreas Heddini of~~ the ~~Swedish Institute for Infectious Disease Control~~.<br><br>~~If you have any sort of inquiries regarding where and ways to use~~ [http://www.~~midlanddistrictrailroadclub~~.~~info~~/ ~~mrsa staph infection treatment~~]~~, you could call us at our own web-site.~~		{{Unreferenced\|date=December 2009}}
			In [[information theory]], the '''cross entropy''' between two [[probability distribution]]s measures the average number of [[bit]]s needed to identify an event from a set of possibilities, if a coding scheme is used based on a given probability distribution <math>q</math>, rather than the "true" distribution <math>p</math>.

			The cross entropy for two distributions <math>p</math> and <math>q</math> over the same [[probability space]] is thus defined as follows:

			:<math>\mathrm{H}(p, q) = \mathrm{E}_p[-\log q] = \mathrm{H}(p) + D_{\mathrm{KL}}(p \\| q),\!</math>

			where <math>\mathrm{H}(p)</math> is the [[information entropy\|entropy]] of <math>p</math>, and <math>D_{\mathrm{KL}}(p \|\| q)</math> is the [[Kullback-Leibler divergence]] of <math>q</math> from <math>p</math> (also known as the ''relative entropy'').

			For [[discrete random variable\|discrete]] <math>p</math> and <math>q</math> this means

			:<math>\mathrm{H}(p, q) = -\sum_x p(x)\, \log q(x). \!</math>

			The situation for [[continuous random variable\|continuous]] distributions is analogous:

			:<math>-\int_X p(x)\, \log q(x)\, dx. \!</math>

			'''NB''': The notation <math>\mathrm{H}(p,q)</math> is sometimes used for both the cross entropy as well as the [[joint entropy]] of <math>p</math> and <math>q</math>.

			==Motivation==
			In information theory, the [[Kraft's inequality\|Kraft–McMillan theorem]] establishes that any directly decodable coding scheme for coding a message to identify one value ''x<sub>i</sub>'' out of a set of possibilities ''X'' can be seen as representing an implicit probability distribution ''q''(''x''<sub>''i''</sub>) = 2<sup>−''l''<sub>''i''</sub></sup> over ''X'', where ''l<sub>i</sub>'' is the length of the code for ''x<sub>i</sub>'' in bits. Therefore, Cross entropy can be interpreted as the expected message-length per datum when a wrong distribution ''Q'' is assumed however the data actually follows a distribution ''P'' - that's why the expectation is taken over the probability distribution ''P'' and not ''Q''.

			:<math>\mathrm{H}(p, q) = \mathrm{E}_p[l_i] = \mathrm{E}_p[\log \frac{1}{q(x_i)}]</math>
			:<math>\mathrm{H}(p, q) = \sum_{x_i} p(x_i)\, \log \frac{1}{q(x_i)} \!</math>
			:<math>\mathrm{H}(p, q) = -\sum_x p(x)\, \log q(x). \!</math>

			==Estimation==
			There are many situations where cross-entropy needs to be measured but the distribution of <math>p</math> is unknown. An example is [[language model]]ing, where a model is created based on a training set <math>T</math>, and then its cross-entropy is measured on a test set to assess how accurate the model is in predicting the test data. In this example, <math>p</math> is the true distribution of words in any corpus, and <math>q</math> is the distribution of words as predicted by the model. Since the true distribution is unknown, cross-entropy cannot be directly calculated. In these cases, an estimate of cross-entropy is calculated using the following formula:

			:<math>H(T,q) = -\sum_{i=1}^N \frac{1}{N} \log_2 q(x_i)</math>

			where <math>N</math> is the size of the test set, and <math>q(x)</math> is the probability of event <math>x</math> estimated from the training set. The sum is calculated over <math>N</math>. This is a Monte Carlo estimate of the true cross entropy, where the training set is treated as samples from <math>p(x)</math>.

			==Cross-entropy minimization==
			Cross-entropy minimization is frequently used in optimization and rare-event probability estimation; see the [[cross-entropy method]].

			When comparing a distribution <math>q</math> against a fixed reference distribution <math>p</math>, cross entropy and [[Kullback-Leibler divergence\|KL divergence]] are identical up to an additive constant (since <math>p</math> is fixed): both take on their minimal values when <math>p = q</math>, which is <math>0</math> for KL divergence, and <math>\mathrm{H}(p)</math> for cross entropy. In the engineering literature, the principle of minimising KL Divergence (Kullback's "[[Kullback-Leibler divergence#Principle of minimum discrimination information\|Principle of Minimum Discrimination Information]]") is often called the '''Principle of Minimum Cross-Entropy''' (MCE), or '''Minxent'''.

			However, as discussed in the article ''[[Kullback-Leibler divergence]]'', sometimes the distribution ''q'' is the fixed prior reference distribution, and the distribution ''p'' is optimised to be as close to ''q'' as possible, subject to some constraint. In this case the two minimisations are ''not'' equivalent. This has led to some ambiguity in the literature, with some authors attempting to resolve the inconsistency by redefining cross-entropy to be ''D''<sub>KL</sub>(''p''\|\|''q''), rather than ''H''(''p'',''q'').

			==See also==
			* [[Cross-entropy method]]

			* [[conditional entropy]]

			==External links==

			* [http://www.cse.unsw.edu.au/~billw/cs9444/crossentropy.html What is cross-entropy, and why use it?]

			{{DEFAULTSORT:Cross Entropy}}
			[[Category:Entropy and information]]

en>ZéroBot: r2.7.1) (Robot: Adding ja:均衡集合

2012-08-28T12:10:26Z

r2.7.1) (Robot: Adding ja:均衡集合

New page

Monoterpenes are excellent at supporting the body against the effects of carcinogens. Because our environment will continue to push on us, but will it get you out of this state, and will it protect you. MRSA (methicillin resistant staphylococcus aureus) is an antibiotic-resistant bacterium that causes life-threatening infections. t leave cuts and wounds open and cover them up with bandages so that Staphylococcus Aureus bacteria can. Hospital infections can be some of the most deadly for staff and patients alike. It has been proven that changing your diet has helped a lot of people get rid of their yeast infections. These incisions are made so that any necessary surgical instruments and the laparoscope can be passed through. - (a) Herpes simplex- Cold sores and genital herps. Failings within those strategies may mean that a compensation claim for medical negligence can be upheld in court. MRSA was originally only prevalent in healthcare facilities, but has now become more community-based. One of the most wonderful things about honey is it does not expire. If staph bacteria are ingested, they can cause food poisoning. In fact, the best explanation is that Grover's Disease is a case of mistaken identity. Hopefully through the education of both doctors and patients, efficacious natural treatments such as essential oils will eventually be embraced, as given the scientific support, they certainly deserve to be. Chances are you had a spot that popped up on your skin. You should be doing this any which way, because this helps to produce urine and urinating frequently will help to flush out all the harmful bacteria and fungus that fester in the body. Apply new dressing and make sure the open wound is completely covered. At the same time it should be ensured that you wash your hand properly quite frequently. Turmeric Root: Turmeric is a brownish root often found in Indian cuisine. She ultimately uncovered a MRSA cure that originated in Asia. This is made possible through researchers who have mapped and published the genome of various pathogens, making it easily accessible to anyone else who is researching the same type of pathogen. There has been resistance with some of these antibiotics as well. If you can catch her without too much stress, that is, if your chickens are comfortable with you picking them up, then check immediately. Wounds were often dressed in honey and it was used frequently for medicinal purposes. “We have a lot of data from Chinese hospitals and it shows a very frightening picture of high-level antibiotic resistance,” said Dr Andreas Heddini of the Swedish Institute for Infectious Disease Control. If you have any sort of inquiries regarding where and ways to use [http://www.midlanddistrictrailroadclub.info/ mrsa staph infection treatment], you could call us at our own web-site.