Tangle (mathematics)

In mathematics, the word tangle usually refers to one of two related concepts:

In link theory, a tangle is an embedding of n arcs and m circles into – the difference from the previous definition is that it includes circles as well as arcs, and partitions the boundary into two (isomorphic) pieces, which is algebraically more convenient – it allows one to add tangles by stacking them, for instance.

(A quite different use of 'tangle' appears in Graph minors X. Obstructions to tree-decomposition by N. Robertson and P. D. Seymour, J. Combinatorial Theory B 59 (1991) 153--190, who used it to describe separation in graphs. This usage has been extended to matroids.)

The balance of this article discusses Conway's sense of tangles; for the link theory sense, see that article.

Two n-tangles are considered equivalent if there is an ambient isotopy of one tangle to the other keeping the boundary of the 3-ball fixed. Tangle theory can be considered analogous to knot theory except instead of closed loops we use strings whose ends are nailed down. See also braid theory.

Tangle (series 3)

The third series of Tangle, an Australian drama television series, was confirmed in December 2010, and production began in June 2011 and ended in August. Series three will contain six episodes, and is written by Fiona Seres and Tony McNamara, and directed by Emma Freeman and Michael James Rowland.

Cast

Episodes

References

Tangle (TV series)

Tangle is an Australian drama series for the Showcase subscription television channel. It focuses on the tangled lives of two generations of two families. Tangle is filmed in Melbourne and first screened on 1 October 2009. It is written by Fiona Seres, Tony McNamara and Judi McCrossin, and directed by Jessica Hobbs, Matthew Saville and Stuart McDonald. There have so far been three seasons.

Plot

Season 1

Tangle revolves around the intertwined lives of the Kovac and Williams families and their network of friends and extended family. Nat Manning (Kat Stewart) returned to her home town of Melbourne after ten years in England on the minor celebrity circuit. She created ripples and then waves in the lives of two clans already struggling under the weight of their myriad secrets. Ally (Justine Clarke) is the devoted wife of builder Vince (Ben Mendelsohn), mother of Romeo and Gigi (Lincoln Younes and Eva Lazarro), who is happy to have her sister Nat back. Politician Tim (Joel Tobeck) had an affair 15 years ago with Nat, and as a result, Nat became pregnant. Tim and his wife Christine (Catherine McClements) patched up their marriage and fought hard for custody of the child, Max (Blake Davis). Divorcee Em is having an affair with married man Vince and doctor Gabriel (Matt Day) has a secret lust for married Ally.

Tina Yuzuki

Tina Yuzuki (柚木ティナ, Yuzuki Tina), also known as Rio, is a Japanese actress, singer and AV idol who debuted as an AV actress in 2005, appearing in videos produced by the Max-A and S1 studios. After starring in AVs in various genres during her first year in the industry, she won an industry award as Best New Actress for 2006. Since late 2007, she has used the stage name of Rio.

Life and career

AV debut and Max-A

Tina Yuzuki was born in Tokyo on October 29, 1986. She is of mixed-race parentage, her father is Japanese and her mother is Portuguese. In an interview, she said she learned to speak Portuguese from her mother.

Yuzuki made her adult video (AV) debut at age nineteen in the November 2005 release for Max-A's Calen label, Hot Wind, The director of Yuzuki's premier video uses the name 'Toshio,' and he continued to work with the actress in many of her early videos. Another collaboration between Yuzuki and director Toshio was in the March 2007 Max-A release, High School Uniform and Machine-Gun. Yuzuki continued appearing in videos for Max-A about once a month throughout 2006 and 2007. For her early work, Yuzuki was named the Best New Actress at the 2006 AV Actress Grand Prix awards.

Río (Guaynabo)

Río is one of the 10 neighborhoods of Guaynabo, Puerto Rico.

Coordinates: 18°19′16″N 66°05′36″W / 18.3210818°N 66.0934470°W / 18.3210818; -66.0934470

References

List of Shaman King characters

The manga and anime series Shaman King features several characters created by Hiroyuki Takei. As a result of being focused on shamanism the series' cast is divided between humans and spirits, the latter not being able to go the afterlife due to their alliance with the former.

The series primarily focuses on a teenager named Yoh Asakura, who reveals to his classmate Manta Oyamada that he is a shaman when fighting a group delinquents led by Ryu. Wishing to lead a peaceful life, Yoh has been training from an early age to become the titular "Shaman King", who will be able to change the world according to his will. During Yoh's training, Manta meets Yoh's demanding fiancee, Anna Kyoyama and Yoh's spirit partner, the samurai Amidamaru. In his journey to become Shaman King, Yoh also meets with a number of rival shamans who seek to become Shaman King for their own reasons and visions of the future, some who become his allies and others who become his enemies. The series' sequel, Shaman King Flowers, deals with Yoh's son, Hana Asakura, on his development as a shaman.