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Keeping tгack of your diet can help you establish the ϲauses beҺind an increase in weight. When ʏou don~~'~~t transfer~~ a ~~lot~~, even smaller levels of foоds tҺat haνe a lot of fat and carbohydrates can definitely accumulate. Simply keeping a journal of the intake is սsually suffiϲient to comе bɑck one to correct intake habits.<br><br>~~A whole lot may be discоveгed from the things you reaԁ in this article about proper diet. These can far better your knowledge~~ of ~~exactly how the physique features~~. ~~Youг body has impoгtant requires in order to keep in good health. Neցlecting diet can have serious еffects. Use these suggestions to feel muсh bettеr!~~		In [[statistics]], the '''Bingham distribution''', named after [[Christopher Bingham]], is an [[antipodal symmetry\|antipodally symmetric]] [[probability distribution]] on the [[hypersphere\|''n''-sphere]].<ref>Bingham, Ch. (1974) "An antipodally symmetric distribution on the sphere". ''Annals of Statistics'', 2(6):1201–1225.</ref>

			It is widely used in [[paleomagnetic]] data analysis,<ref>Onstott, T.C. (1980) "Application of the Bingham distribution function in paleomagnetic studies". ''Journal of Geophysical Research'', 85:1500–1510.</ref> and has been reported as being of use in the field of [[computer vision]].<ref>{{cite web\|title=Belief Propagation with Directional Statistics for Solving the Shape-from-Shading Problem\|url=http://link.springer.com/chapter/10.1007%2F978-3-540-88690-7_58\|publisher=Springer\|date=2008\|accessdate=November 29, 2013}}</ref><ref>{{cite web\|title=Better robot vision: A neglected statistical tool could help robots better understand the objects in the world around them.\|url=http://web.mit.edu/newsoffice/2013/better-robot-vision-1007.html\|publisher=MIT News\|date=October 7, 2013\|accessdate=October 7, 2013}}</ref>

			Its [[probability density function]] is given by

			: <math>
			f(\mathbf{x}\,;\,M,Z)\; dS^{n-1} \;=\; {}_{1}F_{1}({\textstyle\frac{1}{2}};{\textstyle\frac{n}{2}};Z)^{-1}\;\cdot\; \exp\left({\textrm{tr}\; Z M^{T}\mathbf{x} \mathbf{x}^{T}M}\right)\; dS^{n-1}
			</math>
			which may also be written
			: <math>
			f(\mathbf{x}\,;\,M,Z)\; dS^{n-1} \;=\;
			{}_{1}F_{1}({\textstyle\frac{1}{2}};{\textstyle\frac{n}{2}};Z)^{-1}\;\cdot\;
			\exp\left({\mathbf{x}^{T} M Z M^{T}\mathbf{x} }\right)\; dS^{n-1}
			</math>

			where '''x''' is an axis, ''M'' is an [[orthogonal matrix\|orthogonal]] orientation matrix, ''Z'' is a diagonal concentration matrix,
			<math>{}_{1}F_{1}(\cdot;\cdot,\cdot)</math> is a [[confluent hypergeometric function]] of matrix argument.

			==See also==
			* [[Directional statistics]]
			* [[Kent distribution]]

			==References==
			{{reflist}}

			{{ProbDistributions\|directional}}

			[[Category:Probability distributions]]
			[[Category:Directional statistics]]
			[[Category:Continuous distributions]]

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