Loop algebra - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

2014-05-05T12:10:20Z

WP:CHECKWIKI error fixes using AWB (10093)

← Older revision		Revision as of 14:10, 5 May 2014
Line 1:		Line 1:
	~~{{for\|cross-sections in architecture and engineering\|Multiview orthographic projection#Cross-section}}~~		The writer is known as Irwin Wunder but it's not the most masucline title out there. Years ago he moved to North Dakota and his family enjoys it. My day occupation is a meter reader. To gather coins is 1 of the issues I adore most.<br><br>My blog post diet meal delivery ([http://B-East.co/weightlossfoodprograms67803 click the next site])
	~~{{unreferenced\|date=August 2012}}~~
	~~{{Views}}~~
	~~In [[geometry]], a '''cross section'''~~ is the [[intersection (set theory)\|intersection]] of a figure in a 2-dimensional space with a line, or of a body in a 3-dimensional space with a [[Plane_(geometry)\|plane]], etc. When cutting an object into slices, one gets many parallel cross sections.

	~~[[Cavalieri~~'s ~~principle]] states that solids with corresponding cross sections of equal areas have equal volumes.~~

	~~The cross-sectional area (<math>A'</math>) of an object when viewed from a particular angle is~~ the ~~total area of the orthographic projection of the object from that angle~~. ~~For example, a cylinder of height ''h''~~ and ~~radius ''r'' has <math>A' = \pi r^2</math> when viewed along its central axis, and <math>A' = 2 rh</math> when viewed from an orthogonal direction~~. ~~A sphere of radius ''r'' has <math>A' = \pi r^2</math> when viewed from any angle. More generically, <math>A'</math> can be calculated by evaluating the following surface integral:~~

	~~: <math> A' = \iint \limits_\mathrm{top} d\mathbf{A} \cdot \mathbf{\hat{r}}, </math>~~

	~~where <math>\mathbf{\hat{r}}</math> is the unit vector pointing along the viewing direction toward the viewer, <math>d\mathbf{A}</math>~~ is a ~~surface element with an outward-pointing normal, and the integral~~ is ~~taken only over~~ the ~~top-~~most ~~surface, that part of the surface that is "visible" from the perspective of the viewer. For a [[convex body]], each ray through the object from the viewer's perspective crosses just two surfaces~~. ~~For such objects, the integral may be taken over the entire surface (~~<~~math~~>A<~~/math~~>~~) by taking the absolute value of the integrand~~ (~~so that the "top" and "bottom" of the object do not subtract away, as would be required by the~~ [~~[Divergence Theorem]] applied to the constant vector field <math>\mathbf{\hat{r}}<~~/~~math>) and dividing by two:~~

	~~: <math> A' = \frac{1}{2} \iint \limits_A \| d\mathbf{A} \cdot \mathbf{\hat{r}}\| <~~/~~math>~~

	~~==See also==~~
	~~{{commons category\|Cross sections}}~~
	* [[Descriptive geometry]]
	* [[Exploded view drawing]]
	* [[Graphical projection]]
	* [[Plans (drawings)]]

	~~[[Category:Infographics]]~~
	~~[[Category:Elementary geometry]]~~
	~~[[Category:Technical drawing]]~~
	~~[[Category:Methods of representation]]~~


	~~{{elementary-geometry-stub}}~~

147.188.55.104: disambiguated

2013-10-18T10:26:26Z

disambiguated

← Older revision		Revision as of 12:26, 18 October 2013
Line 1:		Line 1:
	In ~~any given year~~, ~~about seven percent~~ - ~~between 13 million and 14 million people - will experience~~ a ~~depressive disorder~~,~~. If at any point~~ of ~~time, you are being told that you suffer from~~ a ~~mental illness, don't believe them. Don't fill your~~ body up with ~~refined sugars and unhealthy food,~~ a ~~diet that is balanced and nutritional is what you require. Symptoms of stress, anxiety and depression~~ (~~all diseases of poor mental health~~) ~~may be alleviated in massage therapy~~. ~~We are constantly looking to the next thing~~, ~~the better thing, what will happen tomorrow, a week from now, maybe even next year~~. <br><br>~~Learning this kind~~ of ~~biofeedback has provided me with that anxiety attack antidote that I never had. You will have occasions~~ when ~~you won't be able to focus on what exactly~~ the ~~specific reason~~ of ~~your German Shepherd anxiety is~~. ~~This drug is most often prescribed as~~ a ~~blood-pressure lowering agent for people with hypertension. Amazing minds~~, and ~~incredibly fascinating and useful information. Regular exercise can reduce stress and also help to build resistance to stress factors.~~ <br><br>~~Nearly one-half of those diagnosed with depression are also diagnosed with~~ an ~~anxiety~~. ~~Dogs that are well exercised spend more~~ of their idle time resting rather than panicking. Are your worries logically justified or are you blowing things out of proportion. There are chemical messengers called neuro transmitters which transmit signals from ~~one brain cell to another cell~~. ~~And next time someone tells you not to hot the panic button~~, ~~please refer them to this article.~~ <br><br>~~- Mental~~ '~~muddiness' (inability to focus or concentrate). Eventually~~, ~~it all bottles up~~, ~~because they fail to seek help and TALK out their problems. When that big ol' bear was breathing down our ancestor's neck, his adrenaline surged as~~ a ~~warning~~, ~~causing his liver to release energy~~-~~stimulating sugars into his system to ready him for~~ the ~~fight. Keeping up with reading~~ is ~~one~~ of the ~~best things any parent can do to keep their child~~'s ~~mind fresh and ready to learn~~. ~~Also~~, ~~'pushing'~~ the ~~energy can bring up what EFT founder, Gary Craig refers to as 'tail enders' which are~~ the ~~underlying limiting beliefs we have attached to the issue.~~ <br><br>~~Studies show~~ that ~~if a close family member suffers from anxiety, another member may likely develop some type~~ of ~~anxiety. Anxiety~~, ~~Panic Attacks, Depression are all inter-related. Likewise anxiety disorders can often lead~~ to depression. At first you may feel that alcohol has a calming effect initially but will create serious symptoms related to anxiety in future. The patient should initiate a meal schedule that allows for consumption of a fiber-rich diet.<br><br>~~Should you loved this informative article~~ and ~~you would want to receive more details regarding~~ [~~http~~:~~//www.stress~~-~~lavoro~~-~~correlato.info/sitemap/ common anxiety medications] please visit our webpage.~~		{{for\|cross-sections in architecture and engineering\|Multiview orthographic projection#Cross-section}}
			{{unreferenced\|date=August 2012}}
			{{Views}}
			In [[geometry]], a '''cross section''' is the [[intersection (set theory)\|intersection]] of a figure in a 2-dimensional space with a line, or of a body in a 3-dimensional space with a [[Plane_(geometry)\|plane]], etc. When cutting an object into slices, one gets many parallel cross sections.

			[[Cavalieri's principle]] states that solids with corresponding cross sections of equal areas have equal volumes.

			The cross-sectional area (<math>A'</math>) of an object when viewed from a particular angle is the total area of the orthographic projection of the object from that angle. For example, a cylinder of height ''h'' and radius ''r'' has <math>A' = \pi r^2</math> when viewed along its central axis, and <math>A' = 2 rh</math> when viewed from an orthogonal direction. A sphere of radius ''r'' has <math>A' = \pi r^2</math> when viewed from any angle. More generically, <math>A'</math> can be calculated by evaluating the following surface integral:

			: <math> A' = \iint \limits_\mathrm{top} d\mathbf{A} \cdot \mathbf{\hat{r}}, </math>

			where <math>\mathbf{\hat{r}}</math> is the unit vector pointing along the viewing direction toward the viewer, <math>d\mathbf{A}</math> is a surface element with an outward-pointing normal, and the integral is taken only over the top-most surface, that part of the surface that is "visible" from the perspective of the viewer. For a [[convex body]], each ray through the object from the viewer's perspective crosses just two surfaces. For such objects, the integral may be taken over the entire surface (<math>A</math>) by taking the absolute value of the integrand (so that the "top" and "bottom" of the object do not subtract away, as would be required by the [[Divergence Theorem]] applied to the constant vector field <math>\mathbf{\hat{r}}</math>) and dividing by two:

			: <math> A' = \frac{1}{2} \iint \limits_A \| d\mathbf{A} \cdot \mathbf{\hat{r}}\| </math>

			==See also==
			{{commons category\|Cross sections}}
			* [[Descriptive geometry]]
			* [[Exploded view drawing]]
			* [[Graphical projection]]
			* [[Plans (drawings)]]

			[[Category:Infographics]]
			[[Category:Elementary geometry]]
			[[Category:Technical drawing]]
			[[Category:Methods of representation]]


			{{elementary-geometry-stub}}

en>SchreiberBike: Disambiguation needed for the link Extension (mathematics)

2012-04-20T22:52:10Z

Disambiguation needed for the link Extension (mathematics)

New page

In any given year, about seven percent - between 13 million and 14 million people - will experience a depressive disorder,. If at any point of time, you are being told that you suffer from a mental illness, don't believe them. Don't fill your body up with refined sugars and unhealthy food, a diet that is balanced and nutritional is what you require. Symptoms of stress, anxiety and depression (all diseases of poor mental health) may be alleviated in massage therapy. We are constantly looking to the next thing, the better thing, what will happen tomorrow, a week from now, maybe even next year. Learning this kind of biofeedback has provided me with that anxiety attack antidote that I never had. You will have occasions when you won't be able to focus on what exactly the specific reason of your German Shepherd anxiety is. This drug is most often prescribed as a blood-pressure lowering agent for people with hypertension. Amazing minds, and incredibly fascinating and useful information. Regular exercise can reduce stress and also help to build resistance to stress factors. Nearly one-half of those diagnosed with depression are also diagnosed with an anxiety. Dogs that are well exercised spend more of their idle time resting rather than panicking. Are your worries logically justified or are you blowing things out of proportion. There are chemical messengers called neuro transmitters which transmit signals from one brain cell to another cell. And next time someone tells you not to hot the panic button, please refer them to this article. - Mental 'muddiness' (inability to focus or concentrate). Eventually, it all bottles up, because they fail to seek help and TALK out their problems. When that big ol' bear was breathing down our ancestor's neck, his adrenaline surged as a warning, causing his liver to release energy-stimulating sugars into his system to ready him for the fight. Keeping up with reading is one of the best things any parent can do to keep their child's mind fresh and ready to learn. Also, 'pushing' the energy can bring up what EFT founder, Gary Craig refers to as 'tail enders' which are the underlying limiting beliefs we have attached to the issue. Studies show that if a close family member suffers from anxiety, another member may likely develop some type of anxiety. Anxiety, Panic Attacks, Depression are all inter-related. Likewise anxiety disorders can often lead to depression. At first you may feel that alcohol has a calming effect initially but will create serious symptoms related to anxiety in future. The patient should initiate a meal schedule that allows for consumption of a fiber-rich diet. Should you loved this informative article and you would want to receive more details regarding [http://www.stress-lavoro-correlato.info/sitemap/ common anxiety medications] please visit our webpage.