Neumann series - Revision history

en>PerryTachett: Adding geometric series analogy.

2014-06-04T16:52:48Z

Adding geometric series analogy.

← Older revision		Revision as of 18:52, 4 June 2014
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	~~{{About\|\|the 2008 film\|Skid Marks (film)}}~~		Hi there. Let me start by introducing the author, her title is Sophia. Office supervising is exactly where her primary income comes from but she's currently utilized for an additional 1. To perform lacross is the factor I love most of all. For a whilst I've been in Alaska but I will have to move in a year or two.<br><br>Here is my blog :: psychic chat online ([http://fashionlinked.com/index.php?do=/profile-13453/info/ try these guys])
	~~[[File:Bremsspur~~.~~jpg\|thumb\|Skid marks on an asphalt road.]]~~

	~~A '''skid mark''' is~~ the ~~visible mark left by any solid which moves against another~~, ~~and~~ is an important aspect of [[trace evidence]] analysis in [[forensic science]] and [[forensic engineering]]. Skid marks caused by tires on roads occur when a vehicle wheel stops rolling and slides or spins on the surface of the road. Skid marks can be analyzed to find the maximum and minimum vehicle speed prior to an impact or incident. [[Skidding]] can also occur on [[black ice]] or [[Diesel fuel\|diesel]] deposits on the road and may not leave a mark at all.

	~~==Characteristics==~~
	~~[[File:ladder skid mark.jpg\|thumb\|Skid mark from a faulty ladder.]]~~
	Skid marks are divided into "acceleration marks" created on acceleration, if the engine provides more power than the tire can transmit; "braking marks," if the brakes "lock up" and cause the tire to slide; or "[[yaw (rotation)\|yaw]] marks", if the tire slides sideways. Each has a characteristic appearance, and an experienced accident reconstructor or forensic engineer can often determine what the vehicle was doing by examining the marks left by the tire.

	~~In car accidents, skid marks are caused by rubber being deposited on the road, much like that of an [[eraser]] leaving pieces of [[rubber]] on a paper~~. Skid marks can also come about when a car suddenly accelerates on a slippery surface, or takes a hard corner. Skid marks are not made by temporary melting of the road surface, as can be shown by skid marks made on concrete by a bicycle, with children often having competitions about who can create the longest skid mark. The rubber of car tires heats up with [[sliding friction]], degrades and disintegrates at the road-tire interface, and is ~~deposited on the road surface.~~

	~~Skid marks can also be formed~~ where a [[ladder]] suddenly slips and the user falls to the ground, especially if the ladder feet are faulty or absent. Loss of the [[rubber]] feet or foot causes the [[aluminium\|aluminum]] stile to make contact with the ground, and if a hard surface like concrete or tiling, a skid mark shows how and why the ladder slipped.

	~~==Accident reconstruction==~~
	Such marks are important evidence for [[vehicular accident reconstruction]], when their size and shape can reveal much about vehicle speed and forces of acceleration or deceleration. They are one form of [[trace evidence]]. They represent a form of contact evidence produced according to [[Locard's ~~exchange principle]]~~. ~~The length of the skid mark~~ is ~~usually closely related to the vehicle speed at the instant of braking, so measuring~~ the ~~marks yields an estimate of original speed.{{#tag:ref\| In~~ most ~~jurisdictions [[judicial notice]] shall be taken~~ of ~~the [[braking distance#Total stopping distance \|total stopping distance]]~~. ~~The [[inverse function]] of the [[braking distance]] formula is:~~

	~~<math>V=\sqrt{ 2 \mu g d_{skid} } </math>~~

	Applying the <math>\mu=0.7</math> value that produced the baseline [http://vacode.org/46.2-880/ Code of Virginia § 46.2-880 Tables of speed and stopping distances], one simply obtains the same velocities that produced the [[braking distance\| stopping distances]], <math>d_{skid}</math>, in ~~the statute. The units must be correct~~ to ~~find~~ a ~~baseline velocity for a skid mark~~. ~~In [[Metric system \|Metric]] ([[International System of Units \|SI]]) units--speed in [[Km/h]] from distance in [[Metre \|meters]]:~~
	<~~math~~>~~V \approx \sqrt{177.8 d_{skid} }~~ <~~/math~~>

	~~In [[United States customary units \|US Customary]] units--speed in [[Miles per hour \|MPH]] from distance in [[Foot (unit) \|feet]]~~:
	~~<math>V \approx \sqrt{ 20.9 d_{skid} } </math>~~
	~~\|group="Note" \|name="velocity estimate from skid marks"}}~~

	~~==See also==~~
	*[[Braking distance]]
	*[[Forensic materials engineering]]
	*[[Forensic polymer engineering]]
	*[[Polymer degradation]]

	~~==Notes==~~
	~~{{Reflist\|100em\|group="Note"}}~~

	~~==References==~~
	~~{{nofootnotes\|date=March 2012}}~~
	*''Introduction to Forensic Engineering'' (The Forensic Library) by Randall K. Noon, CRC Press (1992).
	*''Forensic Engineering Investigation'' by Randall K. Noon, CRC Press (2000).
	*''Forensic Materials Engineering: ~~Case Studies'' by Peter Rhys Lewis, Colin Gagg, Ken Reynolds, CRC Press~~ (~~2004).~~

	~~==External links==~~
	* [http://~~www~~.~~actar.org/ Accreditation Commission for Traffic Accident Reconstruction (ACTAR)]~~
	* [http:/~~/www~~.~~nhtsa.dot.gov/ National Highway Traffic Safety Administration]~~
	* [http://~~nafe.org~~/ ~~National Academy of Forensic Engineers]~~
	~~[[Category:Tires]]~~
	~~[[Category:Evidence law]]~~
	~~[[Category:Forensic evidence]~~]

211.95.61.36: /* Properties */

2013-09-09T02:01:42Z

Properties

← Older revision		Revision as of 04:01, 9 September 2013
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	~~Wilber Berryhill~~ is what ~~his spouse loves~~ to contact ~~him~~ and ~~he completely loves this name~~. ~~For many years she~~'s ~~been residing in Kentucky but her spouse desires them~~ to ~~transfer~~. ~~My spouse doesn't like it~~ the ~~way I do but what I really like doing~~ is ~~caving but I don't have~~ the ~~time recently~~. ~~He is an order clerk~~ and ~~it's something he truly appreciate~~.<br><br>~~my blog~~ ... [http://~~165~~.~~132~~.39.93/xe/~~visitors~~/~~372912 telephone psychic~~]		{{About\|\|the 2008 film\|Skid Marks (film)}}
			[[File:Bremsspur.jpg\|thumb\|Skid marks on an asphalt road.]]

			A '''skid mark''' is the visible mark left by any solid which moves against another, and is an important aspect of [[trace evidence]] analysis in [[forensic science]] and [[forensic engineering]]. Skid marks caused by tires on roads occur when a vehicle wheel stops rolling and slides or spins on the surface of the road. Skid marks can be analyzed to find the maximum and minimum vehicle speed prior to an impact or incident. [[Skidding]] can also occur on [[black ice]] or [[Diesel fuel\|diesel]] deposits on the road and may not leave a mark at all.

			==Characteristics==
			[[File:ladder skid mark.jpg\|thumb\|Skid mark from a faulty ladder.]]
			Skid marks are divided into "acceleration marks" created on acceleration, if the engine provides more power than the tire can transmit; "braking marks," if the brakes "lock up" and cause the tire to slide; or "[[yaw (rotation)\|yaw]] marks", if the tire slides sideways. Each has a characteristic appearance, and an experienced accident reconstructor or forensic engineer can often determine what the vehicle was doing by examining the marks left by the tire.

			In car accidents, skid marks are caused by rubber being deposited on the road, much like that of an [[eraser]] leaving pieces of [[rubber]] on a paper. Skid marks can also come about when a car suddenly accelerates on a slippery surface, or takes a hard corner. Skid marks are not made by temporary melting of the road surface, as can be shown by skid marks made on concrete by a bicycle, with children often having competitions about who can create the longest skid mark. The rubber of car tires heats up with [[sliding friction]], degrades and disintegrates at the road-tire interface, and is deposited on the road surface.

			Skid marks can also be formed where a [[ladder]] suddenly slips and the user falls to the ground, especially if the ladder feet are faulty or absent. Loss of the [[rubber]] feet or foot causes the [[aluminium\|aluminum]] stile to make contact with the ground, and if a hard surface like concrete or tiling, a skid mark shows how and why the ladder slipped.

			==Accident reconstruction==
			Such marks are important evidence for [[vehicular accident reconstruction]], when their size and shape can reveal much about vehicle speed and forces of acceleration or deceleration. They are one form of [[trace evidence]]. They represent a form of contact evidence produced according to [[Locard's exchange principle]]. The length of the skid mark is usually closely related to the vehicle speed at the instant of braking, so measuring the marks yields an estimate of original speed.{{#tag:ref\| In most jurisdictions [[judicial notice]] shall be taken of the [[braking distance#Total stopping distance \|total stopping distance]]. The [[inverse function]] of the [[braking distance]] formula is:

			<math>V=\sqrt{ 2 \mu g d_{skid} } </math>

			Applying the <math>\mu=0.7</math> value that produced the baseline [http://vacode.org/46.2-880/ Code of Virginia § 46.2-880 Tables of speed and stopping distances], one simply obtains the same velocities that produced the [[braking distance\| stopping distances]], <math>d_{skid}</math>, in the statute. The units must be correct to find a baseline velocity for a skid mark. In [[Metric system \|Metric]] ([[International System of Units \|SI]]) units--speed in [[Km/h]] from distance in [[Metre \|meters]]:
			<math>V \approx \sqrt{177.8 d_{skid} } </math>

			In [[United States customary units \|US Customary]] units--speed in [[Miles per hour \|MPH]] from distance in [[Foot (unit) \|feet]]:
			<math>V \approx \sqrt{ 20.9 d_{skid} } </math>
			\|group="Note" \|name="velocity estimate from skid marks"}}

			==See also==
			*[[Braking distance]]
			*[[Forensic materials engineering]]
			*[[Forensic polymer engineering]]
			*[[Polymer degradation]]

			==Notes==
			{{Reflist\|100em\|group="Note"}}

			==References==
			{{nofootnotes\|date=March 2012}}
			*''Introduction to Forensic Engineering'' (The Forensic Library) by Randall K. Noon, CRC Press (1992).
			*''Forensic Engineering Investigation'' by Randall K. Noon, CRC Press (2000).
			*''Forensic Materials Engineering: Case Studies'' by Peter Rhys Lewis, Colin Gagg, Ken Reynolds, CRC Press (2004).

			==External links==
			* [http://www.actar.org/ Accreditation Commission for Traffic Accident Reconstruction (ACTAR)]
			* [http://www.nhtsa.dot.gov/ National Highway Traffic Safety Administration]
			* [http://nafe.org/ National Academy of Forensic Engineers]
			[[Category:Tires]]
			[[Category:Evidence law]]
			[[Category:Forensic evidence]]

108.234.226.76: /* Properties */

2012-08-03T09:52:15Z

Properties

New page

Wilber Berryhill is what his spouse loves to contact him and he completely loves this name. For many years she's been residing in Kentucky but her spouse desires them to transfer. My spouse doesn't like it the way I do but what I really like doing is caving but I don't have the time recently. He is an order clerk and it's something he truly appreciate.<br><br>my blog ... [http://165.132.39.93/xe/visitors/372912 telephone psychic]