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Récords mundiales[editar]

Los siguientes récords de speedcubing son los oficiales aprobados por la World Cube Association.^[1]

Evento	Tipo	Resultado (min:s)	Persona	Competición	Detalles del resultado (min:s)
2×2×2	Single	00:00.58	Rami Sbahi	Canadian Open 2015
2×2×2	Average	00:01.55	Rami Sbahi	Canadian Open 2015	00:00.58/ 00:01.46 / 00:01.81 / 00:01.37 / 00:01.67
3×3×3	Single	00:05.25	Collin Burns	Doylestown Spring 2015
3×3×3	Average	00:06.54	Feliks Zemdegs	Melbourne Cube Day 2013	00:06.91 / 00:06.41 / 00:06.25 / 00:07.30 / 00:06.31
4×4×4	Single	00:21.97	Sebastian Weyer	Euro 2014
4×4×4	Average	00:26.03	Sebastian Weyer	German Nationals 2014	00:26.06 / 00:27.08 / 00:26.36 / 00:25.68 / 00:24.86
5×5×5	Single	00:48.42	Feliks Zemdegs	US Nationals 2014
5×5×5	Average	00:54.20	Feliks Zemdegs	Niddrie 2014	00:52.88 / 00:54.33 / 00:55.18 / 00:53.08 / 00:56.80
6×6×6	Single	01:40.86	Kevin Hays	Vancouver Summer 2013
6×6×6	Average	01:51.30	Kevin Hays	Vancouver Summer 2013	01:40.86 / 02:01.94 / 01:51.11
7×7×7	Single	02:23.55	Feliks Zemdegs	World Championship 2015
7×7×7	Average	02:33.73	Feliks Zemdegs	World Championship 2015	02:33.40 / 02:44.25 / 02:23.55
Megaminx	Single	00:37.58	Yu Da-Hyun	Spring Comes 2015
Megaminx	Average	00:42.89	Yu Da-Hyun	Asian Championship 2014	00:47.53 / 00:43.88 / 00:40.16 / 00:43.15 / 00:41.65
Pyraminx	Single	00:01.36	Oscar Roth Andersen	Danish Special 2013
Pyraminx	Average	00:02.56	Drew Brads	Virginia Open Fall 2014	00:02.46 / 00:02.65 / 00:02.58 / 00:09.19 / 00:01.96
Square-1	Single	00:06.96	Bingliang Li	Guangzhou Wushan Open 2014
Square-1	Average	00:10.21	Bingliang Li	Guangzhou Wushan Open 2014	00:09.36 / 00:11.43 / 00:06.96 / 00:09.83 / 00:12.06
Rubik's clock	Single	00:04.80	Evan Liu	Xi'an Cherry Blossom 2015
Rubik's clock	Average	00:05.94	Evan Liu	Xi'an Cherry Blossom 2015	00:06.34 / 00:05.84 / 00:07.66 / 00:05.63 / 00:04.80
Skewb	Single	00:01.81	Jonatan Kłosko	Santa Claus Cube Race 2014
Skewb	Average	00:03.10	Jayden McNeill	Niddrie 2014	00:06.34 / 00:02.65 / 00:02.75 / 00:02.52 / 00:03.90
3×3×3 Blindfolded (a ciegas)	Single	00:21.17	Marcin Zalewski	PLS Szczecin 2014
3×3×3 Blindfolded (a ciegas)	Average	00:26.41	Kaijun Lin	Guangzhou More Fun Site 2015	00:26.14 / 00:29.11 / 00:23.97
4×4×4 Blindfolded (a ciegas)	Single	02:10.47	Oliver Frost	Edinburgh Spring 2015
5×5×5 Blindfolded (a ciegas)	Single	05:35.84	Oliver Frost	Welcome Back to Guildford 2015
3×3×3 Multiple Blindfolded	Single	41/41	Marcin Kowalczyk	SLS Swierklany 2013	54:14.00
3×3×3 One-handed (con una mano)	Single	00:06.88	Feliks Zemdegs	Canberra Autumn 2015
3×3×3 One-handed (con una mano)	Average	00:10.87	Antoine Cantin	Toronto Spring 2015	00:10.56 / 00:14.19 / 00:10.58 / 00:10.07 / 00:11.47
3×3×3 With feet (con los pies)	Single	00:25.14	Gabriel Pereira Campanha	Nova Odessa Open 2014
3×3×3 With feet (con los pies)	Average	00:29.96	Jakub Kipa	Polish Open 2015	00:27.30 / 00:32.47 / 00:30.10
3×3×3 Fewest moves	Single	20	Tomoaki Okayama	Czech Open 2012
	Average	25.00	Sébastien Auroux	Velbert Easter Open 2014	27 / 27 / 21
	Average	25.00	Vincent Sheu	US Nationals 2014	22 / 23 / 30

Canberra Distance[editar]

The Canberra distance is a numerical measure of the distance between pairs of points in a vector space, introduced in 1966^[2] and refined in 1967^[3] by G. N. Lance and W. T. Williams. It is a weighted version of L₁ (Manhattan) distance.^[4] The Canberra distance has been used as a metric for comparing ranked lists^[4] and for intrusion detection in computer security.^[5]

Definition[editar]

The Canberra distance d between vectors p and q in an n-dimensional real vector space is given as follows:

d(\mathbf {p} ,\mathbf {q} )=\sum _{i=1}^{n}{\frac {|p_{i}-q_{i}|}{|p_{i}|+|q_{i}|}}

where

\mathbf {p} =(p_{1},p_{2},\dots ,p_{n}){\text{ and }}\mathbf {q} =(q_{1},q_{2},\dots ,q_{n})

are vectors.

The Canberra metric, Adkins form, divides the distance d by (n-Z) where Z is the number of attributes that are 0 for p and q.

Distancia Canberra La distancia de Canberra es una medida numérica de la distancia entre pares de puntos en un espacio vectorial, introducida en 1966 y refinada en 1967 por G. N. Lance y W. T. Williams. Es una versión ponderada de la distancia L₁ (Manhattan). La distancia de Canberra se ha utilizado como una métrica para comparar listas clasificadas y para la detección de intrusos en la seguridad informática.

Definición La distancia de Canberra d entre los vectores p y q en un espacio vectorial real n-dimensional se da como sigue:

{\ displaystyle d (\ mathbf {p}, \ mathbf {q}) = \ sum _ {i = 1} ^ {n} {\ frac {| p_ {i} -q_ {i} |} {| p_ { i} | + | q_ {i} |}}} dónde

{\ displaystyle \ mathbf {p} = (p_ {1}, p_ {2}, \ dots, p_ {n}) {\ text {y}} \ mathbf {q} = (q_ {1}, q_ {2 }, \ puntos, q_ {n})} son vectores

La métrica de Canberra, forma de Adkins, divide la distancia d por (n-Z) donde Z es el número de atributos que son 0 para p y q.

↑ http://www.worldcubeassociation.org/results/regions.php
↑ Lance, G. N.; Williams, W. T. (1966). «Computer programs for hierarchical polythetic classification ("similarity analysis").». Computer Journal 9 (1): 60-64. doi:10.1093/comjnl/9.1.60.
↑ Lance, G. N.; Williams, W. T. (1967). «Mixed-data classificatory programs I.) Agglomerative Systems». Australian Computer Journal: 15-20.
↑ ^a ^b Jurman G, Riccadonna S, Visintainer R, Furlanello C: Canberra Distance on Ranked Lists. In Proceedings, Advances in Ranking – NIPS 09 Workshop Edited by Agrawal S, Burges C, Crammer K. 2009, 22–27.
↑ Emran, Syed Masum; Ye, Nong (2002). «Robustness of chi-square and Canberra distance metrics for computer intrusion detection». Quality and Reliability Engineering International 18 (1): 19-28. doi:10.1002/qre.441.

[1] ttp://www.worldcubeassociation.org/results/regions.php

[2] Lance, G. N.; Williams, W. T. (1966). «Computer programs for hierarchical polythetic classification ("similarity analysis").». Computer Journal 9 (1): 60-64. doi:10.1093/comjnl/9.1.60.

[Lance-3] Lance, G. N.; Williams, W. T. (1967). «Mixed-data classificatory programs I.) Agglomerative Systems». Australian Computer Journal: 15-20.

[jurman-4] Jurman G, Riccadonna S, Visintainer R, Furlanello C: Canberra Distance on Ranked Lists. In Proceedings, Advances in Ranking – NIPS 09 Workshop Edited by Agrawal S, Burges C, Crammer K. 2009, 22–27.

[5] Emran, Syed Masum; Ye, Nong (2002). «Robustness of chi-square and Canberra distance metrics for computer intrusion detection». Quality and Reliability Engineering International 18 (1): 19-28. doi:10.1002/qre.441.

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