Frobenius solution to the hypergeometric equation - Revision history

en>LilHelpa: Typos and general fixes using AWB

2014-06-30T18:38:38Z

Typos and general fixes using AWB

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en>Vkpd11: /* Solution around x = 0 */

2014-02-12T08:19:15Z

Solution around x = 0

← Older revision		Revision as of 10:19, 12 February 2014
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	~~Taper is often represented by mathematical functions fitted to empirical data~~, ~~called [[taper equations]]~~. ~~One such function, attributed~~ to ~~Ormerod~~,<~~ref~~>~~Ormerod~~, D.W., ~~1973~~. ~~A simple bole model~~. ~~''[[Forestry Chronicle]~~]~~''. 49:136-138~~.<~~/ref~~> is

	~~[[Image:OmerodTaperEqn1.PNG\|right\|Tree taper equation]]~~

	<~~math~~>~~d(h)^2 = {D^2} \left({H~~-~~h \over H~~-~~h_b}\right)^{1~~.6} <~~/math~~>

	~~where:~~

	<~~math~~>~~d(h)~~<~~/math~~> ~~= stem diameter at height h~~,

	<~~math~~>D</~~math>~~ = ~~tree diameter at breast height~~,

	<~~math~~>H<~~/math~~> ~~= tree total height~~,

	<~~math~~>h<~~/math~~> ~~height~~ of ~~interest (h ≤ H),~~ and

	<~~math~~>~~h_b~~<~~/math~~> ~~= breast height~~.

	~~Once developed, taper equations can be used to predict the diameter at~~ a ~~given height~~, ~~or the height for a given diameter~~.

	== ~~Footnotes~~ ==
	<~~references/~~>

	~~{{Forestry}}~~

	~~[[Category:Forest modelling]]~~


	~~{{Forestry~~-~~stub}}~~

en>Killing Vector: No longer an orphan

2013-07-12T05:16:46Z

No longer an orphan

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Fresh beets have a great deаl of diеtarʏ fiƅer and~~ a ~~few great nutrients, but prօcessed beets often times have plenty of added salt~~. ~~Wɑter vapor up their green veggies and will include beetroot in the ѕtirfry!~~<br>~~<br>Use~~ [~~http~~:~~//www.vereinkunstgenuss.at/groups/how~~-long-to-take-vigrx-plus-are-you-presently-lacking-in-route-concerning-diet/ vigrx plus venta en Mexico] thеse hint to pгoԁuce a weigҺt loss plan that wіll prօvide үou with wߋnderful nutrition. As soon as you dіscover how to eat healthful and ingest nourishing fooɗ products, you will feel signifiϲantly better, ɑlοng with yoսr physique is going to feel strong.		'''Tree taper''' is the degree to which a tree's stem or bole decreases in diameter as a function of height above ground. Trees with a high degree of taper are said to have poor form, while those with low taper have good form. The form of a tree is sometimes quantified by the [[Girard form class]], which is the ratio, expressed as a percentage, of the butt-log [[scaling diameter]] to [[diameter at breast height]].<ref>Mesavage, C., and J.W. Girard. 1946. Tables for estimating board foot volume of timber. Department of Agriculture, [[United States Forest Service\|Forest Service]], Washington, DC. 94 pp.</ref>

			Taper is often represented by mathematical functions fitted to empirical data, called [[taper equations]]. One such function, attributed to Ormerod,<ref>Ormerod, D.W., 1973. A simple bole model. ''[[Forestry Chronicle]]''. 49:136-138.</ref> is

			[[Image:OmerodTaperEqn1.PNG\|right\|Tree taper equation]]

			<math>d(h)^2 = {D^2} \left({H-h \over H-h_b}\right)^{1.6} </math>

			where:

			<math>d(h)</math> = stem diameter at height h,

			<math>D</math> = tree diameter at breast height,

			<math>H</math> = tree total height,

			<math>h</math> height of interest (h ≤ H), and

			<math>h_b</math> = breast height.

			Once developed, taper equations can be used to predict the diameter at a given height, or the height for a given diameter.

			== Footnotes ==
			<references/>

			{{Forestry}}

			[[Category:Forest modelling]]


			{{Forestry-stub}}

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