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Diane Keaton

Diane Keaton is an American actress, producer, real estate developer and singer. One of the most popular actresses of the 1970s and 1980s, she has received various accolades, including an Academy Award, a BAFTA Award, two Golden Globe Awards, the AFI Life Achievement Award. Keaton began her career on stage and made her screen debut in 1970, her first major film role was as Kay Adams-Corleone in The Godfather, a role she reprised in The Godfather Part II and The Godfather Part III. But the films that helped shape her early career were those with director and co-star Woody Allen, beginning with Play It Again, Sam in 1972, her next two films with Allen and Love and Death, established her as a comic actor. Her fourth, the romantic comedy Annie Hall, won her the Academy Award for Best Actress. To avoid being typecast as her Annie Hall persona, Keaton became an accomplished dramatic performer, starring in Looking for Mr. Goodbar and Interiors, received three more Academy Award nominations for playing feminist activist Louise Bryant in Reds, a woman with leukemia in Marvin's Room, a dramatist in Something's Gotta Give.

Keaton's other popular films include Manhattan, Shoot the Moon, Mrs. Soffel, Baby Boom, Father of the Bride, Manhattan Murder Mystery, Father of the Bride Part II, The First Wives Club, The Other Sister, The Family Stone, Morning Glory, Finding Dory, Book Club, Poms. Diane Keaton was born Diane Hall in California, her mother, Dorothy Deanne, was amateur photographer. Keaton was raised a Free Methodist by her mother, her mother won the "Mrs. Los Angeles" pageant for homemakers, she has credited Katharine Hepburn, whom she admires for playing strong and independent women, as one of her inspirations. Keaton is a 1964 graduate of Santa Ana High School in California. During her time there, she participated in singing and acting clubs at school, starred as Blanche DuBois in a school production of A Streetcar Named Desire. After graduation, she attended Santa Ana College, Orange Coast College as an acting student, but dropped out after a year to pursue an entertainment career in Manhattan. Upon joining the Actors' Equity Association, she changed her surname to Keaton, her mother's maiden name, as there was an actress registered under the name of Diane Hall.

For a brief time she moonlighted at nightclubs with a singing act. She revisited her nightclub act in Annie Hall, And So It Goes, a cameo in Radio Days. Keaton began studying acting at the Neighborhood Playhouse in New York City, she studied acting under the Meisner technique, an ensemble acting technique first evolved in the 1930s by Sanford Meisner, a New York stage actor/acting coach/director, a member of The Group Theater. She has described her acting technique as, " only as good as the person you're acting with... As opposed to going it on my own and forging my path to create a wonderful performance without the help of anyone. I always need the help of everyone!" According to Jack Nicholson, "She approaches a script sort of like a play in that she has the entire script memorized before you start doing the movie, which I don't know any other actors doing that."In 1968, Keaton became a member of the "Tribe" and understudy to Sheila in the original Broadway production of Hair. She gained some notoriety for her refusal to disrobe at the end of Act I when the cast performs nude though nudity in the production was optional for actors.

After acting in Hair for nine months, she auditioned for a part in Woody Allen's production of Play It Again, Sam. After nearly being passed over for being too tall, she won the part. After being nominated for a Tony Award for Play It Again, Keaton made her film debut in Lovers and Other Strangers, she followed with guest roles on the television series Love, American Style and Night Gallery, Mannix. Between films, Keaton appeared in a series of deodorant commercials. Keaton's breakthrough role came two years when she was cast as Kay Adams, the girlfriend and eventual wife of Michael Corleone in Francis Ford Coppola's 1972 film The Godfather. Coppola noted that he first noticed Keaton in Lovers and Other Strangers, cast her because of her reputation for eccentricity that he wanted her to bring to the role, her performance in the film was loosely based on her real life experience of making the film, both of which she has described as being "the woman in a world of men." The Godfather was an unparalleled critical and financial success, becoming the highest-grossing film of the year and winning the Best Picture Oscar of 1972.

Two years she reprised her role as Kay Adams in The Godfather Part II. She was reluctant, saying, "At first, I was skeptical about playing Kay again in the Godfather sequel, but when I read the script, the character seemed much more substantial than in the first movie." In Part II her character changed becoming more embittered about her husband's activities. Though Keaton received widespread exposure from the films, her charac

Brownsea Open Air Theatre

Brownsea Open Air Theatre is an open-air Shakespearian theatre company based in Poole, Dorset that have performed large theatrical productions since 1964. Annually performing a play from the extensive works of William Shakespeare for three weeks in July and August, the production is set on the National Trust's Brownsea Island in Poole Harbour with boats transporting patrons to the island from Poole Quay. Proceeds from the production are donated to The National Trust for whom B. O. A. T have so far raised over £250,000. Recent productions include The Taming Of The Shrew, Julius Caesar and Love's Labour's Lost. In 2013 their 50th Season was celebrated with A Midsummer Night's Dream and Pericles, followed in 2014 by Henry IV, part 1 and Henry IV, part 2, The Tempest, The Two Gentlemen Of Verona and As You Like It. For a single season in 2006/7 B. O. A. T Ashore was established when the company's committee agreed that a modern adaptation of Romeo and Juliet could be produced under the B. O. A. T banner on the mainland.

The production ran in early 2007 throughout Dorset. B. O. A. T. Were part of the Royal Shakespeare Company's Open Stages project in 2012, participating in workshops and performing an excerpt from their 2011 production of Julius Caesar, they took part in Open Stages 2014 with a combined version of Henry IV, part 1 and Henry IV, part 2, one scene of which they performed at the Royal Shakespeare Theatre in Stratford Upon Avon B. O. A. T receive excellent national and regional coverage, have been featured in The Guardian as one of the UK's Top 10 Open Air Theatre Venues, listed second to the Minack Theatre in Porthcurno, Cornwall. In 2009 B. O. A. T was included in Debrett's list of the top five things to do in England and in 2019 Woman's Weekly featured B. O. A. T as one of the Top 5 Open Air Theatres in the UK. In 2019 BOAT are staging Richard III. Future plans include Juliet in 2020, followed by Twelfth Night and Macbeth. Former members of Brownsea Open Air Theatre who went on to appear in film, stage and/or television include the following: Christopher Mellows, an actor in Silent Witness, Midsomer Murders and Foyle's War.

Rebecca Night, played the title role in the BBC adaptation of Fanny Hill, broadcast in October 2007. Lisa Dillon, best known as Mary Smith in Cranford on BBC One and has starred in productions for the RSC, National Theatre and in the West End Official website

Circular ensemble

In the theory of random matrices, the circular ensembles are measures on spaces of unitary matrices introduced by Freeman Dyson as modifications of the Gaussian matrix ensembles. The three main examples are the circular orthogonal ensemble on symmetric unitary matrices, the circular unitary ensemble on unitary matrices, the circular symplectic ensemble on self dual unitary quaternionic matrices; the distribution of the unitary circular ensemble CUE is the Haar measure on the unitary group U. If U is a random element of CUE UTU is a random element of COE; each element of a circular ensemble is a unitary matrix, so it has eigenvalues on the unit circle: λ k = e i θ k with 0 ≤ θ k < 2 π for k=1,2... n, where the θ k are known as eigenangles or eigenphases. In the CSE each of these n eigenvalues appears twice; the distributions have densities with respect to the eigenangles, given by p = 1 Z n, β ∏ 1 ≤ k < j ≤ n | e i θ k − e i θ j | β on R n, where β=1 for COE, β=2 for CUE, β=4 for CSE. The normalisation constant Zn,β is given by Z n, β = n Γ n, as can be verified via Selberg's integral formula, or Weyl's integral formula for compact Lie groups.

Generalizations of the circular ensemble restrict the matrix elements of U to real numbers or to real quaternion numbers [so that U is in the symplectic group Sp. The Haar measure on the orthogonal group produces the circular real ensemble and the Haar measure on the symplectic group produces the circular quaternion ensemble; the eigenvalues of orthogonal matrices come in complex conjugate pairs e i θ k and e − i θ k complemented by eigenvalues fixed at +1 or -1. For n=2m and det U=1, there are no fixed eigenvalues and the phases θk have probability distribution p = C ∏ 1 ≤ k < j ≤ m 2, with C an unspecified normalization constant. For n=2m+1 odd there is one fixed eigenvalue σ=det U equal to ±1; the phases have distribution p = C ∏ 1 ≤ i ≤ m ∏ 1 ≤ k < j ≤ m ( cos ⁡ θ k −