*-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 * : AA that is an antiautomorphism and an involution.

More precisely, * is required to satisfy the following properties:

  • (x + y)* = x* + y*
  • (x y)* = y* x*
  • 1* = 1
  • (x*)* = x
  • 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.

    Ringtone

    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.

    Background

    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.

    Slip (telecommunication)

    In telecommunications, a slip is a positional displacement in a sequence of transmitted symbols that causes the loss or insertion of one or more symbols. Slips are usually caused by inadequate synchronization of the two clocks controlling the transmission or by poor reception of the signal.

    References

  • Federal Standard 1037C
  • Slip (materials science)

    In materials science, a slip system describes the set of symmetrically identical slip planes and associated family of slip directions for which dislocation motion can easily occur and lead to plastic deformation. An external force makes parts of the crystal lattice glide along each other, changing the material's geometry. Depending on the type of lattice, different slip systems are present in the material. More specifically, slip occurs on close-packed planes (those containing the greatest number of atoms per area), and in close-packed directions (most atoms per length). The magnitude and direction of slip are represented by the Burgers vector. The picture on the right shows a schematic view of the slip mechanism. The slip planes and slip directions in a crystal have specific crystallographic forms. The slip planes are normally the planes with the highest density of atoms, i.e., those most widely spaced, and the direction of the slip is the direction in the slip plane that corresponds to one of the shortest lattice translation vectors. Often, this is the direction in which atoms are most closely spaced. A slip plane and a slip direction constitute a slip system. A critical resolved shear stress is required to initiate a slip. Slip is an important mode of deformation mechanism in crystals. For metals and technically used metallic alloys it is by far the most important deformation mechanism and subject to current research in materials science.

    Relapse

    In medicine, relapse or recidivism is a recurrence of a past (typically medical) condition. For example, MS or malaria often exhibit peaks of activity and sometimes long periods of dormancy.

    In the context of drug use, relapse or reinstatement of drug-seeking behavior, is a form of spontaneous recovery that involves the recurrence of pathological drug use after a period of abstinence. Relapse is often observed in individuals who have developed a drug addiction or either form of drug dependence.

    Causes

    Substances that may cause addiction or dependence include:

  • Stimulants increase activity in the cerebral cortex leading to increased motor activity.
  • Cocaine
  • Amphetamine
  • Methamphetamine
  • Depressants slow down neuronal activity.
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    PLAYLIST TIME:

    Latest News for: slip ring

    Edit

    Missing girl, 11, 'was playing at the River Thames with pals when she slipped and ...

    The Daily Mail 01 Apr 2025
    The girl reportedly returned home while the boy showed Ms Rajaendram where the event took place, calling her to collect a life ring ... 'The little boy turned around and said "I tried to hold her hand but it slipped".
    Edit

    Dodgers’ Mookie Betts says transition to shortstop is about winning

    Daily Breeze 30 Mar 2025
    It’s trying to find ways to get more rings.” ... He lets that slip out when asked if he is more excited for this season because of the move ... Dodgers get their World Series rings – ‘final piece’ of 2024 celebration.
    Edit

    Custom Cable System Makes For Smooth Sailing for Crowley's eWolf

    The Maritime Executive 30 Mar 2025
    Fortunately, igus® was up to the challenge ... About the eWolf Tugboat ... The result of these R&D efforts was a custom plug delivery system that eliminated the need for slip rings, ensuring a reliable and uninterrupted power supply for eWolf ... ....
    Edit

    Daredevil: Born Again spins out (and not in a fun way)

    AV Club 26 Mar 2025
    The initial buzz around Daredevil ... Marvel with Born Again just after the White Tiger assassination and the Punisher Cops/Mayor Fisk intrigues feels like we’ve slipped through a Sling Ring portal into the broader, sillier MCU ... Attorney At Law ... .
    Edit

    From the archive: George Foreman fails with honour against Evander Holyfield

    The Observer 23 Mar 2025
    However, such glimpses of encouragement for Foreman were vastly outweighed by the many periods when, as he joked later, he suspected the rival camp had slipped a mule into the ring and set it to kicking him ... The Ring Magazine/Getty Images.
    Edit

    “It’s official” :MLB legend Ex-Sox’s David Ortiz proposes to long time girlfriend Maria Yeribel

    The Times of India 21 Mar 2025
    The first photo was of Maria Yeribel, in a white knit dress, with a thick black belt, where she’s flaunting her ring ... Ortiz wore a royal blue blazer and white pants, he presented the ring and slipped it on his now-fiancee’s finger ... 'Papi Needs Love'.
    Edit

    Meet a student who marched to the beat of a different drum

    Asahi News 18 Mar 2025
    It is often found atop a piano ... The rhythm can be adjusted by rotating a ring-shaped part on a side ... But the Tempo Rubato won’t slip out of sync even if the wearer is playing the drums. The wearer can even change tempo by turning the ring while playing.
    Edit

    Guilty, mother who stabbed her boyfriend through the heart with his 12-inch hunting knife | ...

    The Daily Mail 17 Mar 2025
    She said ... She continued ... Forensic evidence revealed her DNA and a fingerprint on the knife, and a cut on her left ring finger showing where, the prosecution had claimed, her dominant hand had slipped over the hilt onto the blade as knife hit Mr Haig ... .
    Edit

    Boodles Cheltenham Gold Cup reaction: David Ord on Inothewayurthinkin

    Sporting Life 14 Mar 2025
    It was on landing two fences from home in the Boodles Cheltenham Gold Cup that Willie Mullins and Paul Townend knew history was slipping through their fingers.
    Edit

    Kim Kardashian Spills the Beans on Kris Humphries Engagement Ring Drama; Says He Only 'Contributed a Fifth' of the Cost

    Pinkvilla 13 Mar 2025
    Kim Kardashian reveals new details about the engagement ring from Kris Humphries and the drama concerning their short-lived marriage ... The Skims founder then let slip a revealing piece of information.
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