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.

Epic

Epic or E.P.I.C. may refer to:

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Epic (1984 film)

Epic is a 1984 Australian animated feature by Yoram Gross, who later called it "a rather Australian film - I can't say very successful, a little bit too much experimental film, too much abstract story."

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During a massive flood, two children are rescued by a family of dingoes, which subsequently raises them as their own. When the children come of age, they must go out into the world and collect the "secrets of life", before becoming the new king and queen of the dingoes.

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Epic (web browser)

Epic is a privacy-centric web browser developed by Hidden Reflex and based on Chromium source code. It is the first web browser from India.

History

Epic was released on August 29, 2013 and focused on protecting users' privacy online. First released on 15 July 2010, Epic Browser is originally based on Google Chrome and is customized to the taste of Indian users. The browser had several pre-installed widgets such as social networking, chat clients and email facilities integrated into the browser.

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Epic's default configuration takes a proactive approach to ensuring that session data (such as cookies, history, and cache) are removed when the browser is exited. The browser also includes a proxy service that can be enabled at the user's discretion, and is automatically enabled when using a search engine. Other features, such as preferring SSL connections and always sending a Do Not Track header, promote a heightened state of privacy in comparison to some other browsers.