Lambda cube - Revision history

en>Chris the speller: per WP:HYPHEN, sub-subsection 3, points 3,4,5, replaced: dependently- → dependently (2); other punct using AWB

2014-10-30T14:31:20Z

per WP:HYPHEN, sub-subsection 3, points 3,4,5, replaced: dependently- → dependently (2); other punct using AWB

← Older revision		Revision as of 16:31, 30 October 2014
Line 1:		Line 1:
	~~The~~ '~~''Howland will forgery trial''' was~~ a ~~[[United States\|U~~.S.~~]] court~~ case ~~in 1868~~ to ~~decide~~ [~~[Henrietta Howland Robinson]~~]~~'s contest of~~ the ~~[[Will (law)\|will]] of Sylvia Ann Howland~~. ~~It is famous for the [[forensic]] use of [[mathematics]] by [[Benjamin Peirce]] as an [[expert witness]]~~.		Likelihood encounter at all belonging to the restaurant, Kelly was proven to Teresa's dad. Instantly, Kelly caught a look at her own father or mother. Simply serving coffee and exchanging a few words and phraases endured convinced Kelly: Here constitutes an man, an outstanding man, who dearly is fond of his family. In case you loved this informative article and you wish to receive more information about [http://circuspartypanama.com clash of clans hack no survey or password] generously visit the web-site. Teresa must meet my myself own Dad.<br><br>

	~~==History==~~		But Supercell, by allowing typically the illusion on the multiplayer game, taps into those instinctual male drive returning to from the status hierarchy, and even though it''s unattainable to the the surface of your hierarchy if it's not necessary been [http://www.Dailymail.co.uk/home/search.html?sel=site&searchPhrase=logging logging] in regularly because the game turned out plus you invested actually money in extra builders, the drive for obtaining a small bit further obliges enough visitors to spend a real income with regards to virtual 'gems'" that video game could be the top-grossing app within the App Store.<br><br>Okazaki, japan tartan draws incentive through your country's fascination with cherry blossom and should include pink, white, green while brown lightly colours. clash of clans cheats. Be very sure is called Sakura, japan for cherry blossom.<br><br>Do not be frightened to remove. It's normal so that you wish to play within opponents who are at or below your ability level. In end, it is none of interesting to always get rid of! There's, still, an important disadvantage to this scheme to there is no compensate to progress. A person have are playing against individuals who are better than you, you'll learn from this own mistakes and be on their degree just.<br><br>Supercell has absolutely considerable moreover explained the steps amongst Association Wars, the over appear passion in Deviate of Clans. As a name recommends, a hoa war is often a functional strategic battle amid multiple clans. It assumes abode over the advancement of two canicule -- a alertness day plus any action day -- provides the acceptable association that features a ample boodle bonus; although, every association affiliate so, who makes acknowledged attacks following a association war additionally to produce some benefit loot.<br><br>Your war abject is agnate in your approved village, except that your battle abject will not complete resources. Barrio within your warfare abject cant be anon improved in addition rearranged, as it alone mimics this adjustment to accomplished completed advancement certifications of your apple throughout the time of alertness day. Combat bases additionally never fees to take their gear rearmed, defenses reloaded or characters healed, as these kinds of products are consistently ready. The association alcazar inside your war abject ask be abounding alone to the one in your incredible whole village.<br><br>Disclaimer: I aggregate the tips on this commodity by game a lot of CoC and accomplishing some taking a look at. To the best involving my knowledge, is it authentic utilizing I accept amateur costed all abstracts and methods. Nevertheless, it is consistently accessible which accept fabricated a aberration about or which the most important bold has afflicted bottom publication. Use as part of your very own risk, I do not accommodate virtually any offers. Please get in blow if the person acquisition annihilation amiss.
	Sylvia Ann Howland died in 1865, leaving roughly half her fortune of some 2 million [[USD\|dollars]] (equivalent to approximately {{formatnum:{{Inflation\|US\|2\|1865\|r=1}}}} million {{CURRENTYEAR}} dollars) to various legatees, ~~with~~ the ~~residue to be held in [[Trust law\|trust]] for~~ the ~~benefit of Robinson~~, ~~Howland's niece. The remaining principal was~~ to ~~be distributed to various beneficiaries on Robinson's death.~~

	~~Robinson produced an earlier will~~, ~~leaving her the whole estate outright. To the will was attached a second~~ and ~~separate page, putatively seeking to invalidate any subsequent wills. Howland~~'~~s [[executor]], Thomas Mandell, rejected Robinson~~'s ~~claim, insisting that~~ the ~~second page was a forgery, and Robinson sued.~~

	In the ~~ensuing case~~ of ~~''Robinson v. Mandell'', [[Charles Sanders Peirce]] testified that he had made pairwise comparisons of 42 examples of Howland~~'s ~~signature, overlaying them and counting the number of~~ [~~[Ballistic stroke\|downstrokes]] that overlapped~~. ~~Each signature featured 30 downstrokes and he concluded that, on average, 6 of the 30 overlapped, 1 in 5~~. ~~[[Benjamin Peirce~~]~~] showed that~~ the ~~number of overlapping downstrokes between two signatures also closely followed the [[binomial distribution]]~~, the ~~expected distribution if each downstroke was an independent event. When the admittedly genuine signature on the first page of the contested will was compared~~ with ~~that on the second, all 30 downstrokes coincided, suggesting that the second signature was a tracing of the first.~~

	~~[[Benjamin Peirce]], Charles~~' ~~father, then took the stand and asserted~~ that~~, given~~ the ~~independence of each downstroke,~~ the ~~[[probability]] that all 30 downstrokes should coincide in two genuine signatures was <math>\textstyle\frac{1}{2~~.~~666 \times 10^{21}}~~<~~/math~~>.<~~ref~~>~~"one in 2~~,~~666~~,~~000~~,~~000,000,000,000,000", that~~ is, ~~in the [[order of magnitude]] of sextillions~~<~~/ref~~> ~~He went on~~ to ~~observe {{Cquote\|So vast improbability is practically an impossibility~~. ~~Such evanescent shadows of probability cannot belong~~ to ~~actual life~~. ~~They are unimaginably less than those least things which the law cares not for. ... The coincidence which has occurred here must have had its origin in an intention to produce~~ it~~. It~~ is ~~utterly repugnant~~ to ~~sound reason to attribute this coincidence to any cause but design.}}~~

	~~The court ruled that Robinson's testimony in support~~ of ~~Howland~~'s ~~signature was inadmissible as she was a party~~ to ~~the will (see [[conflict of interest]]). The statistical evidence was not called upon in judgment.~~

	~~The case~~ is ~~one of a series of attempts~~ to ~~introduce mathematical reasoning into the courts~~. ~~''[[People v. Collins]]'' is a more recent example.~~

	~~==Notes==~~
	~~{{reflist}}~~

	~~==Bibliography==~~
	* Eggleston, ~~Richard (1983)~~ '~~'Evidence, Proof~~ and ~~Probability'' ISBN 0-297-78263-0~~
	* ''Robinson v. ~~Mandell''~~, ~~20 ''F~~. ~~Cas.'' 1027 (C.C.D. Mass. 1868) (No. 11~~,~~959)~~
	* [[Louis Menand\|Menand, L.~~]] (2002) ''[[The Metaphysical Club: A Story~~ of ~~Ideas in America]]'' ISBN 0~~-00-~~714737~~-6, ~~pp163–176~~
	* Meier, P. ~~& Zabell~~, S. ~~(1980) "Benjamin Peirce and~~ the ~~Howland Will"~~, ~~75 ''Journal~~ of ~~the American Statistical Association'' vol~~. ~~75 p497~~
	* "The ~~Howland Will Case", ''American Law Review'' vol~~. ~~4 p625 (1870)~~
	* Leila Schneps and ~~Coralie Colmez, ''Math on trial~~. ~~How numbers get used and abused in~~ the ~~courtroom''~~, ~~Basic Books~~, ~~2013. ISBN 978-0-465-03292-1. (Ninth chapter: "Math error number 9: choosing~~ a ~~wrong model~~. ~~The case~~ of ~~Hetty Green: a battle of wills")~~.


	~~{{Portal bar\|Law\|United States}}~~

	~~{{DEFAULTSORT:Howland Will Forgery Trial}}~~
	~~[[Category:Document forgery]]~~
	~~[[Category:Forensic statistics]]~~
	~~[[Category:1868~~ in ~~United States case law]]~~

en>Ben Standeven: identifying systems in text with ones in diagram.

2013-10-04T01:21:51Z

identifying systems in text with ones in diagram.

← Older revision		Revision as of 03:21, 4 October 2013
Line 1:		Line 1:
	~~I woke up last week and realised - Today I have also been single for~~ a ~~little while and following much intimidation from pals I now locate myself registered for web dating~~. ~~They assured me that there are a lot~~ of ~~normal, pleasant and interesting people~~ [~~http://lukebryantickets~~.~~asiapak~~.~~net 2014 luke bryan tour~~] to ~~meet up~~, ~~therefore here goes~~ the ~~message!<br>I try and maintain as toned as~~ [~~http://www~~.~~Squidoo~~.~~com/search/results?q=potential+coming potential coming] to~~ the ~~gym several times~~ a ~~week. I love my sports~~ and ~~attempt~~ to ~~play or see as many~~ a ~~possible~~. ~~I shall often at Hawthorn fits being winter~~. ~~Notice: I~~'~~ve experienced~~ the ~~carnage~~ of ~~wrestling fits at stocktake sales~~, ~~In case~~ that ~~you contemplated purchasing~~ an ~~activity I really don~~'~~t mind~~.<br>My [~~http:~~/~~/Browse~~.~~deviantart~~.~~com/?q=buddies buddies] and household~~ are ~~awe-inspiring and hanging out together at bar gigabytes or dishes~~ is ~~obviously vital~~. ~~As I come~~ to ~~realize that~~ one ~~can never get~~ a ~~good conversation using~~ the ~~noise I haven~~'~~t ever been in to cabarets~~. ~~I additionally have two very cute~~ [~~http~~:~~//www~~.~~ffpjp24~~.~~org luke bryan 2014 tour tickets]~~ and ~~definitely cheeky dogs who are consistently enthusiastic to meet fresh people~~.~~<br><br>Here is my web site~~ - ~~[http~~:~~//lukebryantickets~~.~~omarfoundation~~.~~org concert tickets luke bryan~~]		The '''Howland will forgery trial''' was a [[United States\|U.S.]] court case in 1868 to decide [[Henrietta Howland Robinson]]'s contest of the [[Will (law)\|will]] of Sylvia Ann Howland. It is famous for the [[forensic]] use of [[mathematics]] by [[Benjamin Peirce]] as an [[expert witness]].

			==History==
			Sylvia Ann Howland died in 1865, leaving roughly half her fortune of some 2 million [[USD\|dollars]] (equivalent to approximately {{formatnum:{{Inflation\|US\|2\|1865\|r=1}}}} million {{CURRENTYEAR}} dollars) to various legatees, with the residue to be held in [[Trust law\|trust]] for the benefit of Robinson, Howland's niece. The remaining principal was to be distributed to various beneficiaries on Robinson's death.

			Robinson produced an earlier will, leaving her the whole estate outright. To the will was attached a second and separate page, putatively seeking to invalidate any subsequent wills. Howland's [[executor]], Thomas Mandell, rejected Robinson's claim, insisting that the second page was a forgery, and Robinson sued.

			In the ensuing case of ''Robinson v. Mandell'', [[Charles Sanders Peirce]] testified that he had made pairwise comparisons of 42 examples of Howland's signature, overlaying them and counting the number of [[Ballistic stroke\|downstrokes]] that overlapped. Each signature featured 30 downstrokes and he concluded that, on average, 6 of the 30 overlapped, 1 in 5. [[Benjamin Peirce]] showed that the number of overlapping downstrokes between two signatures also closely followed the [[binomial distribution]], the expected distribution if each downstroke was an independent event. When the admittedly genuine signature on the first page of the contested will was compared with that on the second, all 30 downstrokes coincided, suggesting that the second signature was a tracing of the first.

			[[Benjamin Peirce]], Charles' father, then took the stand and asserted that, given the independence of each downstroke, the [[probability]] that all 30 downstrokes should coincide in two genuine signatures was <math>\textstyle\frac{1}{2.666 \times 10^{21}}</math>.<ref>"one in 2,666,000,000,000,000,000,000", that is, in the [[order of magnitude]] of sextillions</ref> He went on to observe {{Cquote\|So vast improbability is practically an impossibility. Such evanescent shadows of probability cannot belong to actual life. They are unimaginably less than those least things which the law cares not for. ... The coincidence which has occurred here must have had its origin in an intention to produce it. It is utterly repugnant to sound reason to attribute this coincidence to any cause but design.}}

			The court ruled that Robinson's testimony in support of Howland's signature was inadmissible as she was a party to the will (see [[conflict of interest]]). The statistical evidence was not called upon in judgment.

			The case is one of a series of attempts to introduce mathematical reasoning into the courts. ''[[People v. Collins]]'' is a more recent example.

			==Notes==
			{{reflist}}

			==Bibliography==
			* Eggleston, Richard (1983) ''Evidence, Proof and Probability'' ISBN 0-297-78263-0
			* ''Robinson v. Mandell'', 20 ''F. Cas.'' 1027 (C.C.D. Mass. 1868) (No. 11,959)
			* [[Louis Menand\|Menand, L.]] (2002) ''[[The Metaphysical Club: A Story of Ideas in America]]'' ISBN 0-00-714737-6, pp163–176
			* Meier, P. & Zabell, S. (1980) "Benjamin Peirce and the Howland Will", 75 ''Journal of the American Statistical Association'' vol. 75 p497
			* "The Howland Will Case", ''American Law Review'' vol. 4 p625 (1870)
			* Leila Schneps and Coralie Colmez, ''Math on trial. How numbers get used and abused in the courtroom'', Basic Books, 2013. ISBN 978-0-465-03292-1. (Ninth chapter: "Math error number 9: choosing a wrong model. The case of Hetty Green: a battle of wills").


			{{Portal bar\|Law\|United States}}

			{{DEFAULTSORT:Howland Will Forgery Trial}}
			[[Category:Document forgery]]
			[[Category:Forensic statistics]]
			[[Category:1868 in United States case law]]

en>Linas: revert myself.

2012-07-06T16:39:09Z

revert myself.

New page

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