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.

First (Cold War Kids song)

"First" is a song by American indie rock band Cold War Kids. The song was written by the band and produced by Lars Stalfors and Dann Gallucci. It was the second single off their fifth album Hold My Home (2014) and was released on February 17, 2015. The song received a positive reception from music critics.

"First" peaked at number 1 on the Billboard Alternative Songs chart, becoming the band's highest charting single. A music video was made for the single and was released on January 12, 2015.

Critical reception

"First" received positive reviews from music critics. Philip Cosores of Paste called it a "clap-along anthem" and said that together with "All This Could Be Yours" and "Hot Coals", is "the strongest run the band has put together in its career." Heather Phares of AllMusic remarked the song being a highlight of the album due to its "anthemic power."

Music video

The music video was uploaded on the band's VEVO page on January 12, 2015.

Chart performance

The song appeared on the Billboard Alternative Songs chart at number 40 and peaked at number 1, their first song to top that chart. It has stayed on the chart for twenty-eight weeks (as of the October 24, 2015 chart date), making it their longest charting single to date.

First (David Gates album)

First is the first solo album by David Gates of Bread. The musicians include: Jimmy Getzoff, Jim Gordon, Jim Horn, John Guerin, Larry Carlton, Larry Knechtel, Louie Shelton, Mike Botts and Russ Kunkel. Suite, Clouds & Rain is definitely worth a listen as Gates experimented with his sound.

Track listing

All tracks composed by David Gates

First (EP)

'First' is the debut EP of Singaporean singer, Ferlyn G. It consists of a total of three tracks and was released on January 2, 2015.

Background

In 2014, Ferlyn announced that she will be leaving Skarf and releasing a solo EP in 2015 before Chinese New Year. After a series of teasers, the EP was released on January 2, 2015, during a press conference at Bugis+ in Singapore. The music video for both Xīn fàng kāi (心放开) and Luv Talk was released through iGlobalStar's official YouTube channel on January 2, 2015.

Composition

Ferlyn worked with various well known composers and singers such as Gen Neo from Noizebank and Mint from Tiny-G. The promotional tracks, Luv Talk and Xīn fàng kāi (心放开) is a fun pop tune and is about having a crush while the second track, Bùjiàn bú sàn (不見不散) about the experience during a breakup.

Music video

The music video for the promotional track, Luv Talk and Xīn fàng kāi (心放开) begin on a deceptively melancholy note with a teary Ferlyn perched on a bridge and dramatic piano instrumental playing behind her, the song soon ramps up the atmosphere with a full brass tone and hip rhythm. The story flashes back to an unpleasant conversation Ferlyn has with an unknown man. However, after being down, she transforms herself into a new self with a change in make up and outfit.