*-algebra

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.

Terminology

*-ring

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 (Suzuki novel)

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).

Plot synopsis

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.

Ring (film)

Ring (リング, Ringu) is a 1998 Japanese psychological horror film directed by Hideo Nakata, adapted from the novel Ring by Kôji Suzuki, which in turn draws on the Japanese folk tale Banchō Sarayashiki. The film stars Nanako Matsushima, Hiroyuki Sanada, and Rikiya Ōtaka. The film follows TV reporter and single mother Reiko who is caught up in a series of deaths surrounding a cursed video tape.

Production took approximately 9 months.Ring and its sequel Rasen were released in Japan at the same time.

After release, Ring inspired numerous follow-ups within the Ring franchise and triggered a trend of Western remakes.

Plot

Two teenagers, Masami (Hitomi Satō) and Tomoko (Yūko Takeuchi), talk about a videotape recorded by a boy in Izu which is fabled to bear a curse that kills the viewer seven days after watching. Tomoko reveals that a week ago, she and three of her friends watched a weird tape and received a call after watching. Tomoko is killed by an unseen force as Masami watches, horrified.

Wine (software)

Wine (recursive acronym for Wine Is Not an Emulator) is a free and open source compatibility layer software application that aims to allow applications designed for Microsoft Windows to run on Unix-like operating systems. Wine also provides a software library, known as Winelib, against which developers can compile Windows applications to help port them to Unix-like systems.

It duplicates functions of Windows by providing alternative implementations of the DLLs that Windows programs call, and a process to substitute for the Windows NT kernel. This method of duplication differs from other methods that might also be considered emulation, where Windows programs run in a virtual machine. Wine is predominantly written using black-box testing reverse-engineering, to avoid copyright issues.

The name Wine initially was an abbreviation for Windows emulator. Its meaning later shifted to the recursive acronym, Wine is not an emulator in order to differentiate the software from CPU emulators. While the name sometimes appears in the forms WINE and wine, the project developers have agreed to standardize on the form Wine.

Health effects of wine

The health effects of wine are mainly determined by its active ingredient alcohol. Drinking small quantities of alcohol (up to one drink per day for women and one to two drinks per day for men) is associated with a decreased risk of heart disease, stroke, diabetes mellitus, metabolic syndrome and early death. Drinking more than this amount, however, increases the risk of heart disease, high blood pressure, atrial fibrillation, and stroke. Risk is greater in younger people due to binge drinking which may result in violence or accidents. About 3.3 million deaths (5.9% of all deaths) are believed to be due to alcohol each year.Alcoholism reduces a person's life expectancy by around ten years and excessive alcohol use is the third leading cause of early death in the United States. No professional medical association recommends that people who are nondrinkers should start drinking wine.

Wine has a long history of use as an early form of medication, being recommended variously as a safe alternative to drinking water, an antiseptic for treating wounds, a digestive aid, and as a cure for a wide range of ailments including lethargy, diarrhea and pain from child birth.Ancient Egyptian Papyri and Sumerian tablets dating back to 2200 BC detail the medicinal role of wine, making it the world's oldest documented human-made medicine. Wine continued to play a major role in medicine until the late 19th and early 20th century, when changing opinions and medical research on alcohol and alcoholism cast doubt on its role as part of a healthy lifestyle.

WINE (AM)

WINE (940 AM) is a radio station broadcasting a sports format. Licensed to Brookfield, Connecticut, USA, it serves the Danbury area. The station is owned by Townsquare Media. In the 1970s and early 1980s WINE was a Top 40 station. As the audience migrated to the FM band, WINE became a full-service adult contemporary station.

In the 1990s WINE became part of an all-news network that included WNLK, which both became newstalk a few years later. After being sold to Cumulus, WINE spent a few years as a nostalgia station, along with its now sister station, WPUT (Brewster, NY). Both became part of ESPN Radio 24/7 but switched to CBS Sports Radio on January 2, 2013. WINE's nighttime signal is very weak at 4 watts. WPUT airs daytime only.

WINE's longtime competitor is 800 AM WLAD in Danbury. WLAD is now a newstalk station. WINE's FM sister station is rock station, WRKI, as well as Patterson, New York's WDBY, which has a booster station in Danbury.

In December 2012, WPUT and WINE became CBS Sports Radio's 940SportsRadio