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	<title>Spherical harmonics - Revision history</title>
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	<updated>2026-04-17T09:47:35Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://en.formulasearchengine.com/index.php?title=Spherical_harmonics&amp;diff=225920&amp;oldid=prev</id>
		<title>en&gt;Timrb: /* Real form */</title>
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		<updated>2015-01-05T07:00:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Real form&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:00, 5 January 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Many individuals enhance by the time of their discharge from the hospital yet the treatment for anorexia &lt;/del&gt;nervosa &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cannot finish there. Relapses at home after hospitalization &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;very &lt;/del&gt;well-known&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, over 95% of all sufferers have some sort of problem&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Actually more people do relapse than those who do not&lt;/del&gt;, a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;distressing statistic for the sufferer&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Due &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the fact a better system fat &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;connected with many ailments these as heart wellness problems, diabetic issues and various types of cancer to name &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;quantity &lt;/del&gt;of, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;providing a numeric importance to your body fat composition can &lt;/del&gt;be a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fair guidebook to problems caused by excessive fat. Although it&lt;/del&gt;&#039;s &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a manual, it really is just that plus should be chosen right into element with certain other elements compared to just the BMI quantity value&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you are 1 &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;those individuals who think that using &lt;/del&gt;a [http://&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;safedietplans&lt;/del&gt;.com/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;calories&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;burned-walking calories burned while walking&lt;/del&gt;] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;for ladies is useless, then we need to understand which this belief is truly far from &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;truth. Here are some of &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reasons why.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;BMI, that stands for &quot;body-mass index&quot;, is actually a very common measure for &lt;/del&gt;weight. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It truly is calculated by taking a fat in kilos and dividing it by the square of the height inside metres&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It is furthermore recognized since &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Quetelet Index&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;after its Belgian founder. It is used around the planet by countless governments inside their official &lt;/del&gt;health &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;specifications. Uncover out a little bit more with regards to the BMI plus certain objections inside opposition to generating use of this well-known standard&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;More than 900 females were asked to engage in this research&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Researchers tried to obtain out that behaviors were associated with gaining fat following pregnancy&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Six months after the women&lt;/del&gt;&#039;s &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;childbirths, they reported how much &lt;/del&gt;time &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;they have been physically active plus have spent watching TV, and filled out a diet questionnaire&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For your concern, the actual method of finding &lt;/del&gt;a BMI is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the fact that initially we have to take the weight inside kilograms &lt;/del&gt;plus &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;divide it by a height in meters, squared plus which &lt;/del&gt;is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Body Mass Index. A big quantity &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;individuals find it extremely difficult &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;calculate &lt;/del&gt;their &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;BMI Calculating because it happens to be a deep procedure plus it may be perfectly calculated with a doctor.&lt;/del&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The individual can commence &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;develop odd food rituals like eating foods in a certain purchase plus arranging the foods in a certain means on the plate&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The individual can moreover begin to excessively chew their food in the hopes &lt;/del&gt;that more &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is digested &lt;/del&gt;plus &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;less can turn &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fat&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you&#039;re thinking how to be anorexic, you may be not alone. Anorexia &lt;/ins&gt;nervosa is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the world&#039;s many &lt;/ins&gt;well-known &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;eating disorder (following binge-eating)&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Unfortunately&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;it really is moreover truly dangerous to &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;person&#039;s mental plus bodily wellness&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The ideal advice I can provide you, is don&#039;t place too much fat (pun intended) into the calculators.  Neither considers a muscle mass, genetic make-up or additional factors which makes each people weight unique.&lt;/ins&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Many individuals go their whole lives without ever breaking any bones. If somebody suddenly develops a high likeliness for fractures due &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;brittle bones it may indicate osteoporosis, which in turn &lt;/ins&gt;is a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;side impact &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;malnurition. Granted&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in certain cases this might &lt;/ins&gt;be &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;age-related. But not consuming enough calories plus calcium will weaken even &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;young person&lt;/ins&gt;&#039;s &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;bones&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The Body Mass Index is based on a person&#039;s fat inside proportion to their height and age. The National Institute &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Health offers &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;convenient online &lt;/ins&gt;[http://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;safedietplansforwomen&lt;/ins&gt;.com/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;bmi&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;calculator bmi calculator men&lt;/ins&gt;] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that automatically computes &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;value based on &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;entered height and &lt;/ins&gt;weight. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Results under 18&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 get into &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;underweight&quot; range&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which may cause different &lt;/ins&gt;health &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;risks including malnurition and emaciation&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; 905-409-8031 or bodyconcepts1@uniserve&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;com Would you like a Professional Personal Trainer Specialist? - If so I am providing you my Personal Training services for about half price&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Instead of $68 per session we pay just $39 per session, for Toronto &amp;amp; GTA&lt;/ins&gt;&#039;s &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#1 Personal Trainer services! - For a Limited &lt;/ins&gt;time.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Many websites can boast that is a person has &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;high &lt;/ins&gt;BMI&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, he or she should lose weight. This really &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not true &lt;/ins&gt;plus &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can often result &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;serious health dangers. Always consult an actual doctor when you&#039;re not sure. Never take &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;term &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a firm struggling &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sell &lt;/ins&gt;their &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;product!&lt;/ins&gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now I simply go running about twice a week to maintain what I&#039;ve worked really hard &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;achieve. I no longer feel randomly depressed, nor do I binge eat simply because I don&#039;t feel superior&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I&#039;ve found it funny &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;having lost weight I truly do feel more confident. I even have &lt;/ins&gt;more &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;energy &lt;/ins&gt;plus &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;am able &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;focus a lot better throughout the day&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>en&gt;Timrb</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Spherical_harmonics&amp;diff=225919&amp;oldid=prev</id>
		<title>en&gt;BG19bot: /* Addition theorem */WP:CHECKWIKI error fix for #98.  Broken sub tag.  Do general fixes if a problem exists. -, replaced: &lt;sub&gt;&#039;&#039;n&#039;&#039;−1&lt;/sup&gt; → &lt;sub&gt;&#039;&#039;n&#039;&#039;−1&lt;/sub&gt; using AWB (9957)</title>
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		<updated>2014-03-01T09:16:22Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Addition theorem: &lt;/span&gt;&lt;a href=&quot;/index.php?title=WP:CHECKWIKI&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;WP:CHECKWIKI (page does not exist)&quot;&gt;WP:CHECKWIKI&lt;/a&gt; error fix for #98.  Broken sub tag.  Do &lt;a href=&quot;https://en.wikipedia.org/wiki/GENFIXES&quot; class=&quot;extiw&quot; title=&quot;wikipedia:GENFIXES&quot;&gt;general fixes&lt;/a&gt; if a problem exists. -, replaced: &amp;lt;sub&amp;gt;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;−1&amp;lt;/sup&amp;gt; → &amp;lt;sub&amp;gt;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;−1&amp;lt;/sub&amp;gt; using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt; (9957)&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Spherical_harmonics&amp;amp;diff=225919&amp;amp;oldid=2916&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>en&gt;BG19bot</name></author>
	</entry>
	<entry>
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		<title>en&gt;Felix116: /* Spherical harmonics in Cartesian form */ Amended &#039;==&#039; to &#039;=&#039;.</title>
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		<updated>2014-01-29T11:23:15Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Spherical harmonics in Cartesian form: &lt;/span&gt; Amended &amp;#039;==&amp;#039; to &amp;#039;=&amp;#039;.&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Spherical_harmonics&amp;amp;diff=2916&amp;amp;oldid=225918&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>en&gt;Felix116</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Spherical_harmonics&amp;diff=225918&amp;oldid=prev</id>
		<title>en&gt;Slawekb: This is wrong.  Lx, Ly, Lz generate the compact real form, but Lz, L+, L- generate the noncompact (SL(2,R)).</title>
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		<updated>2012-08-23T22:37:41Z</updated>

		<summary type="html">&lt;p&gt;This is wrong.  Lx, Ly, Lz generate the compact real form, but Lz, L+, L- generate the noncompact (SL(2,R)).&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Do we recognize where we stand with regards to your weight? Are we obese, overweight, or even underweight? I&amp;#039;ve seen a lot of questions regarding this particular topic plus hopefully this will enable explain points.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;A commonly used diagnostic tool, the body mass index measures the body fat based found on the weight plus [http://safedietplans.com/bmi-chart bmi chart] the height of an individual. Developed by a Belgian scientist Adolphe Quetelet, it helps to calculate how healthy a individual is based on his fat plus identify whether the individual is underweight, overweight, or fat. The relation of BMI to fatness differs for people of different age plus gender. As an example, the BMI of females is likely to be high than that of guys.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;There appear to be a consistent preference among bmi chart men men for a woman BMI index about 20. With BMI above 25 being considered too high plus below 15 being too slim.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;There are many choices to consider when purchasing a BMI bathroom scale. You shouldn&amp;#039;t have to spend over 75 dollars for a model that does everything we require it to do.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Examples 1 and 2 show that an exponent of 3 is more realistic than 2 for estimating the weight of a person for a given height. With all due modesty, I propose the Larry Index (LI) as a fair compromise, plus because a realistic alternative to Ancel Keys&amp;#039; BMI.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Second, tall people are at better risk of early mortality than people of average height. Since the BMI tends to flag tall people bmi chart women because being obese, it&amp;#039;s more beneficial in setting lifetime insurance premiums than one would expect at initial blush. With BMI because the rationale, insurance companies may charge slightly higher (and more realistic) life insurance premiums for tall individuals, without appearing to be discriminatory.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;After my son was born I weighed from the hospital at 192. That was after the baby was born. Since I was nursing, I lost the weight quickly. In three months I was back to 135, nevertheless then I stopped nursing. Because then I have gained back about 30 pounds, which puts me at 165. According to BMI (Body Mass Index) calculations, I am classified as &amp;quot;obese&amp;quot;. Classifications are because follows: &amp;quot;Underweight&amp;quot;, &amp;quot;Normal&amp;quot;, &amp;quot;Overweight&amp;quot;, and &amp;quot;Obese&amp;quot;. BMI is calculated by the formula:  weight (lb) / [height (in)]2 x 703. Divide your fat by the height squared plus then multiply by 703. The number we come up with need to be interpreted according to the following: 18.5 or below = Underweight, 18.4 - 24.9 = Normal, 25.0 - 29.9 = Overweight, 30.0 or above = Obese.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;If you think you are general fat obese, the number one thing you can do is consult the doctor, and begin to create healthier choices inside your existence. For more info feel free to go and visit a few of the hyperlinks I&amp;#039;ve provided.&lt;/div&gt;</summary>
		<author><name>en&gt;Slawekb</name></author>
	</entry>
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