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*-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 $* : A \to A$ 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.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/*-algebra

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.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Ring_(Suzuki_novel)

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.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Ringtone

Memory

In psychology, memory is the process in which information is encoded, stored, and retrieved. Encoding allows information from the outside world to be sensed in the form of chemical and physical stimuli. In the first stage the information must be changed so that it may be put into the encoding process. Storage is the second memory stage or process. This entails that information is maintained over short periods of time. Finally the third process is the retrieval of information that has been stored. Such information must be located and returned to the consciousness. Some retrieval attempts may be effortless due to the type of information, and other attempts to remember stored information may be more demanding for various reasons.

From an information processing perspective there are three main stages in the formation and retrieval of memory:

Encoding or registration: receiving, processing and combining of received information

Storage: creation of a permanent record of the encoded information in short term or long term memory

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Memory

Memory (2006 film)

Memory (also billed as mem-(o)-re and Memore) is a 2006 American techno-thriller film written by Bennett Joshua Davlin, and starring Billy Zane, Tricia Helfer and Terry Chen.

Plot

While lecturing in Brazil, Dr. Taylor Briggs an American authority on memory consults on a patient found deep in the Amazon. During the exam, Taylor is accidentally exposed to a mysterious substance which unlocks a series of memories in his brain. Memories that are not his. The memory of a killer who committed crimes before Taylor was even born. A killer who is much closer than you may think.

The mystery will rip open Taylor Brigg’s well crafted life, estranging his relationship with his best friend Dr. Deepra Chang, leading him into romance with a beautiful, enigmatic painter Stephanie Jacobs, straining his relationship with his mom’s best friend Carol Hargrave, causing him to question the surrogate father figure in his life, Dr. Max Lichtenstein.

Cast

Billy Zane as Taylor Briggs

Tricia Helfer as Stephanie Jacobs

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Memory_(2006_film)

Memory (disambiguation)

Memory is an organism's ability to store, retain, and recall information.

Memory or Memories may also refer to:

Music

Memories (radio network), or Unforgettable Favorites

Albums

Memories (Barbra Streisand album)

Memories (Doc Watson album)

Memories (The Vogues album)

Memories: The '68 Comeback Special, an Elvis Presley compilation album

Memories: The Best of Elaine Paige, an Elaine Paige compilation album

Memories Pat Boone album

Songs

"Memory" (song), a song from Cats

"Memory", 2004 single from the Sugarcult album Palm Trees and Power Lines

"Memory", a 1912 art song by the classical composer John Ireland on lyrics by the poet William Blake

"Memory", a 1959 art song by the classical composer Ned Rorem on lyrics by the poet Theodore Roethke

"Memories" (1915 song), by Egbert Van Alstyne and Gustave Kahn

"Memories" (Hugh Hopper song) - a song variously covered by Daevid Allen, Robert Wyatt and Material featuring Whitney Houston

"Memories" (David Guetta song)

"Memories" (Harold Faltermeyer song)

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Memory_(disambiguation)

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*-algebra

Terminology

*-ring

In mathematics, a *-ring is a ring with a map $* : A \to A$ 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 page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/*-algebra

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*-algebra

Terminology

*-ring

Ring (Suzuki novel)

Plot synopsis

Ringtone

Background

Memory

Memory (2006 film)

Plot

Cast

Memory (disambiguation)

Music

Albums

Songs

Dr Vades x Blanco - Ringtone [Music Video] | GRM Daily

R3HAB x Fafaq x DNF - Ringtone (Sorry I Missed Your Call) (Official Video)

RINGTONE ft GUARDIAN ANGEL - FAGIA (Official Video) sms (SKIZA 5961953 to 811)

Iphone Ringtone **1 HOUR VERSION** // Original IPhone Ringtone // IPhone RIngtone NEW

New best romantic ringtone 2021| mobile mp3 caller tune💞| hindi love sad feeling song /Ringtone Tak

iPhone Ringtone Trap Remix

A Story Of " MARKHOR " Work Like " ISI " | Secret Factors |

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone @SK top 10

100 gecs - ringtone (Official Audio Stream)

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone 2021 @SK top 10

Dr Vades x Blanco - Ringtone [Music Video] | GRM Daily

R3HAB x Fafaq x DNF - Ringtone (Sorry I Missed Your Call) (Official Video)

RINGTONE ft GUARDIAN ANGEL - FAGIA (Official Video) sms (SKIZA 5961953 to 811)

Iphone Ringtone **1 HOUR VERSION** // Original IPhone Ringtone // IPhone RIngtone NEW

New best romantic ringtone 2021| mobile mp3 caller tune💞| hindi love sad feeling song /Ringtone Tak

iPhone Ringtone Trap Remix

A Story Of " MARKHOR " Work Like " ISI " | Secret Factors |

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone @SK top 10

100 gecs - ringtone (Official Audio Stream)

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone 2021 @SK top 10

Dr Vades x Blanco - Ringtone [Music Video] | GRM Daily

R3HAB x Fafaq x DNF - Ringtone (Sorry I Missed Your Call) (Official Video)

RINGTONE ft GUARDIAN ANGEL - FAGIA (Official Video) sms (SKIZA 5961953 to 811)

Iphone Ringtone **1 HOUR VERSION** // Original IPhone Ringtone // IPhone RIngtone NEW

New best romantic ringtone 2021| mobile mp3 caller tune💞| hindi love sad feeling song /Ringtone Tak

iPhone Ringtone Trap Remix

A Story Of " MARKHOR " Work Like " ISI " | Secret Factors |

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone @SK top 10

100 gecs - ringtone (Official Audio Stream)

New Ringtone Viral Ringtone / English Ringtone / bgm Ringtone Cool Ringtone 2021 @SK top 10

*-algebra

Terminology

*-ring

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