In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings R and A, where R is commutative and A has the structure of an associative algebra over R. Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a Hilbert space and Hermitian adjoints.
In mathematics, a *-ring is a ring with a map * : A → A that is an antiautomorphism and an involution.
More precisely, * is required to satisfy the following properties:
for all x, y in A.
This is also called an involutive ring, involutory ring, and ring with involution. Note that the third axiom is actually redundant, because the second and fourth axioms imply 1* is also a multiplicative identity, and identities are unique.
Ring (リング, Ringu) is a Japanese mystery horror novel by Koji Suzuki, first published in 1991, and set in modern-day Japan. It was the basis for a 1995 television film (Ring: Kanzenban),a television series (Ring: The Final Chapter), a film of the same name (1998's Ring), and two remakes of the 1998 film: a South Korean version (The Ring Virus) and an American version (The Ring).
After four teenagers mysteriously die simultaneously in Tokyo, Kazuyuki Asakawa, a reporter and uncle to one of the deceased, decides to launch his own personal investigation. His search leads him to "Hakone Pacific Land", a holiday resort where the youths were last seen together exactly one week before their deaths. Once there he happens upon a mysterious unmarked videotape. Watching the tape, he witnesses a strange sequence of both abstract and realistic footage, including an image of an injured man, that ends with a warning revealing the viewer has a week to live. Giving a single means of avoiding death, the tape's explanation ends suddenly having been overwritten by an advertisement. The tape has a horrible mental effect on Asakawa, and he doesn't doubt for a second that its warning is true.
A ringtone or ring tone is the sound made by a telephone to indicate an incoming call or text message. Not literally a tone nor an actual (bell-like) ring any more, the term is most often used today to refer to customizable sounds used on mobile phones.
A phone “rings” when its network indicates an incoming call and the phone thus alerts the recipient. For landline telephones, the call signal can be an electric current generated by the switch or exchange to which the telephone is connected, which originally drove an electric bell. For mobile phones, the network sends the phone a message indicating an incoming call. The sound the caller hears is called the ringback tone, which is not necessarily directly related.
The electromagnetic bell system is still in widespread use. The ringing signal sent to a customer's telephone is 90 volts AC at a frequency of 20 hertz in North America. In Europe it is around 60-90 volts AC at a frequency of 25 hertz. Some non-Bell Company system party lines in the US used multiple frequencies (20/30/40 Hz, 22/33/44 Hz, etc.) to allow "selective" ringing.
Liam is a 2000 British-German film directed by Stephen Frears and written by novelist/screenwriter Jimmy McGovern. McGovern (perhaps best known as the creator of British TV crime drama Cracker) adapted Joseph Mckeown's novel Back Crack Boy into this emotionally raw meditation on innocence and pain. Frears in turn was influenced by James Joyce's accounts of his stern childhood in late 19th century Catholic Dublin.
Megan Burns won the Marcello Mastroianni Award at the 57th Venice International Film Festival for her performance.
Set in Liverpool in the Depression of the 1930s, the story is told through the eyes of Liam Sullivan (Anthony Borrows). Liam is taking religious instruction lessons in preparation for his First Communion—his mother (Claire Hackett) is a staunch Roman Catholic. His father (Ian Hart) loses his job when the shipyard he works for closes. Meanwhile his sister Teresa (Megan Burns) has taken a job as maid for the wealthy Jewish family who own the shipyard.
Liam stutters badly under stress, and his strict religious education does not help. The Jewish lady of the house that Teresa works for is having an affair, and the girl becomes an accomplice. Liam's father joins a group of fascists, who rail against rich Jews and cheap Irish labour. His brother secretly attends meetings with socialists. But all this is just a microcosm of a more general breakdown.
Emily, also known as The Awakening of Emily, is a 1976 British-made soft-core erotic film made by Henry Herbert, starring Koo Stark as a young woman discovering her sensual side.
The film was frequently shown on HBO and other cable TV pay channels during the early 1980s, when such channels sought R-rated programming not available on regular TV. It also gained some attention due to a romantic fling between Stark and Prince Andrew, cementing his tabloid nickname of "Randy Andy".
The film was lent a degree of legitimacy by its soundtrack having been composed and sung by the famous singer/poet Rod McKuen.
Journeyman is an American science fiction romance television series created by Kevin Falls for 20th Century Fox Television. The series was shown simultaneously on NBC in the U.S and on Global in Canada, premiering on September 24, 2007 at 10 p.m. Eastern Time.
The series centers on Dan Vasser, a newspaper reporter living with his wife Katie and young son Zack in San Francisco. For an unknown reason, one day he begins "jumping" backward in time. He soon learns that each series of jumps follows the life of a person whose destiny he seems meant to change. Dan's jumping affects his family life and his job, and instills suspicion in his brother Jack, a police detective. While in the past, Dan reconnects with his ex-fiancée, Livia, whom he had believed was killed in a plane crash but is actually a time traveller like him.
The initial order from NBC was for 13 episodes, all of which were produced prior to the 2007–2008 Writers Guild of America strike. However, the series suffered from low ratings, and NBC allowed its option for a full season order to lapse by the December 11, 2007, deadline for renewal. According to trade reports, such an action effectively means the series has been cancelled. As of April 2, 2008, the show had officially been cancelled by NBC. The final episode of Journeyman aired on Wednesday, December 19, 2007.
"Elle me dit" (English: She Tells Me) is a song by British singer and songwriter Mika, released as a single in France ahead of the release of his third studio album, The Origin of Love. Mika re-recorded the song in English under the title "Emily". "Emily" is included on the standard tracklisting of The Origin of Love, while "Elle me dit" is featured as a bonus track the French standard edition of the album, and all international deluxe editions. The song was released on 11 July 2011.
The song was first rumoured when a twelve-second preview was published online on 1 July 2011. Just ten days later, the French iTunes Store made the whole song available as a digital download. However, its official release did not occur until 26 September 2011. Lyrically, the song is "about all the horrific things a mother can say to her son to get him to fuck out of her house".
A first English version named "She tells me" was sung live, with lyrics very close to the initial meaning. The commercially released version switched the focus to an Emily character with the singer being the one bossing her around.