query: Who wrote "An Ideal Husband"?

title: An Ideal Husband

text: DVD as part of "The Oscar Wilde Collection" box-set. BBC Radio 3 broadcast a full production in 2007 directed by David Timson and starring Alex Jennings, Emma Fielding, Jasper Britton, Janet McTeer and Geoffrey Palmer. This production was re-broadcast on Valentine's Day 2010. L.A. Theatre Works produced an audio adaptation of the play starring Jacqueline Bisset, Rosalind Ayres, Martin Jarvis, Miriam Margolyes, Alfred Molina, Yeardley Smith and Robert Machray. It is available as a CD set, . An Ideal Husband An Ideal Husband is an 1895 comedic stage play by Oscar Wilde which revolves around blackmail and political corruption, and

title: An Ideal Husband

text: An Ideal Husband An Ideal Husband is an 1895 comedic stage play by Oscar Wilde which revolves around blackmail and political corruption, and touches on the themes of public and private honour. The action is set in London, in "the present", and takes place over the course of twenty-four hours. "Sooner or later," Wilde notes, "we shall all have to pay for what we do." But he adds that, "No one should be entirely judged by their past." Together with "The Importance of Being Earnest", it is often considered Wilde's dramatic masterpiece. After "Earnest", it is his most popularly produced

title: An Ideal Husband (1999 film)

text: An Ideal Husband (1999 film) An Ideal Husband is a 1999 film based on the play "An Ideal Husband" by Oscar Wilde. The film stars Jeremy Northam, Rupert Everett, Julianne Moore, Minnie Driver and Cate Blanchett. It was directed by Oliver Parker. It was selected as the 1999 Cannes Film Festival's closing film. Sir Robert Chiltern is a successful Government minister, well-off and with a loving wife. All this is threatened when Mrs. Cheveley appears in London with damning evidence of a past misdeed. Sir Robert turns for help to his friend Lord Goring, an apparently idle philanderer and the

title: An Ideal Husband (2000 film)

text: Chiltern retains her faith in her husband's honour and 'idealism'. An Ideal Husband (2000 film) An Ideal Husband is a 2000 film based on the play "An Ideal Husband" by Oscar Wilde. While the film retains the premise of Wilde's play and much of the original dialogue, it updates the action to the present day. The external scenes of the film were shot at various locations in the English 'home counties', principally in Buckinghamshire Sir Robert Chiltern, a rich landowner, belongs to the English 'county set' and is a member of an (unnamed) local government authority somewhere north of London.

title: An Ideal Husband (2000 film)

text: An Ideal Husband (2000 film) An Ideal Husband is a 2000 film based on the play "An Ideal Husband" by Oscar Wilde. While the film retains the premise of Wilde's play and much of the original dialogue, it updates the action to the present day. The external scenes of the film were shot at various locations in the English 'home counties', principally in Buckinghamshire Sir Robert Chiltern, a rich landowner, belongs to the English 'county set' and is a member of an (unnamed) local government authority somewhere north of London. Well-off and with a loving and trusting wife, his honour

title: An Ideal Husband (1947 film)

text: to Philip, Duke of Edinburgh. The film, along with two others from Korda, "Mine Own Executioner" and "Anna Karenina", were picketed in some American cinemas by the Sons of Liberty organisation, causing it to be withdrawn from exhibition in some cases. This was due to US opposition to British policies. The film was one of the most popular movies at the British box office in 1948. However it performed disappointingly in other markets. An Ideal Husband (1947 film) An Ideal Husband, also known as Oscar Wilde's An Ideal Husband, is a 1947 film Technicolor adaptation of the play by Oscar

title: An Ideal Husband (1947 film)

text: An Ideal Husband (1947 film) An Ideal Husband, also known as Oscar Wilde's An Ideal Husband, is a 1947 film Technicolor adaptation of the play by Oscar Wilde. It was made by London Film Productions and distributed by British Lion Films (UK) and Twentieth Century-Fox Film Corporation (USA). It was produced and directed by Alexander Korda from a screenplay by Lajos Bíró from Wilde's play. The music score was by Arthur Benjamin, the cinematography by Georges Périnal, the editing by Oswald Hafenrichter and the costume design by Cecil Beaton. The film stars Paulette Goddard, Michael Wilding, Diana Wynyard, Hugh Williams,

title: An Ideal Husband (1999 film)

text: adapted screenplay, Caroline Harris for costume design, and Peter King for make-up and hair. An Ideal Husband (1999 film) An Ideal Husband is a 1999 film based on the play "An Ideal Husband" by Oscar Wilde. The film stars Jeremy Northam, Rupert Everett, Julianne Moore, Minnie Driver and Cate Blanchett. It was directed by Oliver Parker. It was selected as the 1999 Cannes Film Festival's closing film. Sir Robert Chiltern is a successful Government minister, well-off and with a loving wife. All this is threatened when Mrs. Cheveley appears in London with damning evidence of a past misdeed. Sir Robert

title: An Ideal Husband

text: in an interview in "Sketch", had dismissed the role of the public and its perceptions in judging the success of his play. "An Ideal Husband" was originally produced by Lewis Waller, premiering on 3 January 1895 at the Haymarket Theatre. The run lasted 124 performances. The original cast of the play was: Oscar Wilde was arrested for "gross indecency" (homosexuality) during the run of the production. At the trial, the actors involved in the production testified as witnesses against him. The production continued but credit for authorship was taken away from Wilde. In 1992, the Royal Exchange, Manchester staged a

title: An Ideal Husband

text: play. In the summer of 1893, Oscar Wilde began writing "An Ideal Husband", and he completed it later that winter. His work began at Goring-on-Thames, after which he named the character Lord Goring, and concluded at St. James Place. He initially sent the completed play to the Garrick Theatre, where the manager rejected it, but it was soon accepted by the Haymarket Theatre, where Lewis Waller had temporarily taken control. Waller was an excellent actor and cast himself as Sir Robert Chiltern. The play gave the Haymarket the success it desperately needed. After opening on 3 January 1895, it continued

title: An Ideal Husband

text: Mabel are permitted to wed. Many of the themes of "An Ideal Husband" were influenced by the situation Oscar Wilde found himself in during the early 1890s. Stressing the need to be forgiven for past sins, and the irrationality of ruining lives of great value to society because of people's hypocritical reactions to those sins, Wilde may have been speaking to his own situation, and his own fears regarding his affair (still secret). Other themes include the position of women in society. In a climactic moment Gertrude Chiltern "learns her lesson" and repeats Lord Goring's advice "A man's life is

title: An Ideal Husband

text: to someone else. The overall portrayal of the upper class in England displays an attitude of hypocrisy and strict observance of arbitrary rules. The play proved extremely popular in its original run, lasting over a hundred performances. Critics also lauded Wilde's balance of a multitude of theatrical elements within the play. George Bernard Shaw praised the play, saying "Mr. Wilde is to me our only thorough Playwright. He plays with everything; with wit, with philosophy, with drama, with actors and audience, with the whole theatre." Yet a week after the opening of the play at the Haymarket Theatre, Oscar Wilde

title: An Ideal Husband

text: for 124 performances. In April of that year, Wilde was arrested for "gross indecency" and his name was publicly removed from the play. On , the same day as Wilde's arrest, the play moved to the Criterion Theatre where it ran from . The play was published in 1899, although Wilde was not listed as the author. This published version differs slightly from the performed play, for Wilde added many passages and cut others. Prominent additions included written stage directions and character descriptions. Wilde was a leader in the effort to make plays accessible to the reading public. The play

title: An Ideal Husband (1999 film)

text: despair of his father. Goring knows the lady of old and the plot to help his friend has unintended consequences. The plot of the film differs from the original Wilde play in a number of key respects. The episode of Mrs. Cheveley's lost bracelet was removed, and the twists at the end are made more complex by the introduction of a bet between Lord Goring and Mrs. Cheveley, and Lord Goring's need to ask the permission of Sir Robert Chiltern to marry his sister, Miss Mabel Chiltern. The film received positive reviews from critics. Paper Magazine called it a "witty

title: An Ideal Husband

text: production directed by James Maxwell with Brenda Blethyn as Mrs Cheverley Phipps, Robert Glenister as Lord Goring, Una Stubbs as Lady Markby and Tom Chadbon as Sir Robert Chiltern. In 1996 a popular West End revival of "An Ideal Husband" with Martin Shaw as Lord Goring was transferred to New York and featured the Broadway debut of film stars Michael Denison and Dulcie Gray. The BBC produced a version which was broadcast in 1969 as part of their "Play of the Month" series. It stars Jeremy Brett and Margaret Leighton and was directed by Rudolph Cartier. It is available on

title: An Ideal Husband

text: that Sir Robert renege on his promise to Mrs. Chevely. For Lady Chiltern, their marriage is predicated on her having an "ideal husband"—that is, a model spouse in both private and public life whom she can worship; thus, Sir Robert must remain unimpeachable in all his decisions. Sir Robert complies with the lady's wishes and apparently seals his doom. Also toward the end of Act I, Mabel and Lord Goring come upon a diamond brooch that Lord Goring gave someone many years ago. Goring takes the brooch and asks that Mabel inform him if anyone comes to retrieve it. In

title: An Ideal Husband

text: to his wife once they are both in the room. Unable to accept a Sir Robert now unmasked, Lady Chiltern then denounces her husband and refuses to forgive him. In the third act, set in Lord Goring's home, Goring receives a pink letter from Lady Chiltern asking for his help, a letter that might be read as a compromising love note. Just as Goring receives this note, however, his father, Lord Caversham, drops in and demands to know when his son will marry. A visit from Sir Robert, who seeks further counsel from Goring, follows. Meanwhile, Mrs. Cheveley arrives unexpectedly

title: An Ideal World

text: book a mixed review. Sizemore wrote that he wished the message was conveyed "more [subtly]" and criticized the beginning of the book as "the toughest to get through", but felt the "pace and readability improve" afterwards. He praised the art as "gorgeous" with "lots of eye candy" for those who enjoy fantasy artwork. Overall, Sizemore thought "An Ideal World" was "wasted potential", with too much emphasis placed on the message, detracting from the storytelling. Publishers Weekly praised "An Ideal World" for its message and art, but criticized how "the book gets bogged down in talky heavy-handedness, as if someone put

title: An Ideal Husband

text: letter, but as the letter does not have the name of the addressee, he assumes it is meant for him, and reads it as a letter of forgiveness. The two reconcile. Lady Chiltern initially agrees to support Sir Robert's decision to renounce his career in politics, but Lord Goring dissuades her from allowing her husband to resign. When Sir Robert refuses Lord Goring his sister's hand in marriage, still believing he has taken up with Mrs. Cheveley, Lady Chiltern is forced to explain last night's events and the true nature of the letter. Sir Robert relents, and Lord Goring and

title: An Ideal Husband (1947 film)

text: C. Aubrey Smith, Glynis Johns and Constance Collier. A mysterious lady attempts to blackmail a respected politician into giving a speech in parliament that supports her interests. Filming was held up due to a strike from the crew. The union objected to Paulette Goddard's hairdresser being American, claiming an English person could do the job. Shooting took 66 days. Goddard's husband, Burgess Meredith, was making "Mine Own Executioner" for Korda at the same time. After filming, the two of them appeared on stage in Dublin in "Winterset". Korda subsequently lent some of the costumes for the wedding of Princess Elizabeth

title: An Ideal

text: for his album "An Ideal". An Ideal An Ideal () is the third studio album by Chinese singer-songwriter Ronghao Li, released on January 22, 2016 by Warner Music Taiwan. The album contains 11 songs, with the album's total length being 53:04 minutes. The following is the official comment on An Ideal's release: "Staying ordinary in an extraordinary world, with his (Ronghao Li) music, slowly disintegrating the veil of lies we've been wearing. They call it an ideal, something extraordinary, but at the same time ordinary. Even though stumbled over rocks and lost our ways in the mist, it doesn't mean

title: An Ideal World

text: the author, illustrator, and Chinese publisher. "An Ideal World" was licensed for release in Mainland China by TriWorks and Zhiyin Magazine and in South Korea by the South Korean branch of Cambridge University Press. Shenjie published the series in Taiwan. At a conference held in February 2006, Tian Jin Creator World Comic Company announced that negotiations were being made to release "An Ideal World" in other European countries, Japan, and with traditional Chinese characters in Taiwan. "An Ideal World" has received mixed reviews from Western critics, who generally praised the book's artwork and second half but did not like the

title: An Ideal

text: An Ideal An Ideal () is the third studio album by Chinese singer-songwriter Ronghao Li, released on January 22, 2016 by Warner Music Taiwan. The album contains 11 songs, with the album's total length being 53:04 minutes. The following is the official comment on An Ideal's release: "Staying ordinary in an extraordinary world, with his (Ronghao Li) music, slowly disintegrating the veil of lies we've been wearing. They call it an ideal, something extraordinary, but at the same time ordinary. Even though stumbled over rocks and lost our ways in the mist, it doesn't mean it's over. Living in the

title: Radical of an ideal

text: Radical of an ideal In commutative ring theory, a branch of mathematics, the radical of an ideal "I" is an ideal such that an element "x" is in the radical if and only if some power of "x" is in "I". (Taking the radical is called "radicalization".) A radical ideal (or semiprime ideal) is an ideal that is equal to its own radical. The radical of a primary ideal is a prime ideal. This concept is generalized to noncommutative rings in the Semiprime ring article. The radical of an ideal "I" in a commutative ring "R", denoted by Rad("I") or

title: Radical of an ideal

title: An Ideal World

text: the New York Comic Con that they had licensed the series from Xiao Pan. Yen Press released it in North America as one volume called "An Ideal World". "An Ideal World" follows the struggles of A You, a young man who, believing he has no luck, does not attempt to succeed in life even though others advise him to make his own luck. When he accidentally gets on the wrong bus, A You finds himself in the suburbs, where he takes shelter from the rain in a large tree and takes a nap. After waking up, A You happens upon

title: An Ideal World

text: An Ideal World An Ideal World ( "Seek Self's World") is a full-color Chinese manhua authored by Weidong Chen and illustrated by Chao Peng. The series was released in five volumes and published in China by Tian Jin Creator World Comic Company () under the title "Seek Self's World" and as part of the Cunren Fairy Tale series. "An Ideal World" was licensed by various other companies and released simultaneously with the original publisher between 2006 and 2007. The French manhua-publishing company Xiao Pan licensed the series as ""Un Monde Idéal"" ("An Ideal World") and Yen Press later announced at

title: An Ideal Husband

text: and, misrecognised by the butler as the woman Goring awaits, is ushered into Lord Goring's drawing room. While she waits, she finds Lady Chiltern's letter. Ultimately, Sir Robert discovers Mrs. Cheveley in the drawing room and, convinced of an affair between these two former lovers, angrily storms out of the house. When she and Lord Goring confront each other, Mrs. Cheveley makes a proposal. Claiming to still love Goring from their early days of courtship, she offers to exchange Sir Robert's letter for her old beau's hand in marriage. Lord Goring declines, accusing her of defiling love by reducing courtship

title: An Ideal Husband

text: opens during a dinner party at the home of Sir Robert Chiltern in London's fashionable Grosvenor Square. Sir Robert, a prestigious member of the House of Commons, and his wife, Lady Chiltern, are hosting a gathering that includes his friend Lord Goring, a dandified bachelor and close friend to the Chilterns, Mabel Chiltern, and other genteel guests. During the party, Mrs. Cheveley, an enemy of Lady Chiltern from their school days, attempts to blackmail Sir Robert into supporting a fraudulent scheme to build a canal in Argentina. Apparently, Mrs. Cheveley's late mentor and lover, Baron Arnheim, induced the young Sir

title: An Ideal World

text: nice fantasy illustrations into a business self-help book". R. Bézard, a French critic for BD Gest, rated the first volume of the Xiao Pan edition of "An Ideal World" with two out of five stars. Bézard stated that the volume did not draw in the reader or give any indication of A You's future adventure. However, Bézard praised the artwork as expressive and called it a cross between "Dragon Ball Z" and "Fruits Basket". An Ideal World An Ideal World ( "Seek Self's World") is a full-color Chinese manhua authored by Weidong Chen and illustrated by Chao Peng. The series

title: An Ideal World

text: the house of an old man, who sends him to an alternate world so that he may resolve his troubles. A You grows to enjoy the fantasy world and does not wish to return to his harsh reality. "An Ideal World" garnered mixed reception from Western critics, who objected mainly to the beginning and praised the overall story, artwork and themes. A You is a troubled 19-year-old who dislikes his life; he feels that his entire life is unlucky, yet he avoids hard work and prefers to be lazy. He is encouraged by the people around him to work harder

title: An Ideal Husband

text: of more value than a woman's." Often criticised by contemporary theatre analysers as overt sexism, the idea being expressed in the monologue is that women, despite serving as the source of morality in Victorian era marriages, should be less judgmental of their husbands' mistakes because of complexities surrounding the balance that husbands of that era had to keep between their domestic and their worldly obligations. A third theme expresses anti-upper class sentiments. Lady Basildon, and Lady Markby are consistently portrayed as absurdly two-faced, saying one thing one moment, then turning around to say the exact opposite (to great comic effect)

title: An Ideal Husband

text: letter addressed to Goring. Mrs. Cheveley exits the house in triumph. The final act, which returns to Grosvenor Square, resolves the many plot complications sketched above with a decidedly happy ending. Lord Goring proposes to and is accepted by Mabel. Lord Caversham informs his son that Sir Robert has denounced the Argentine canal scheme before the House. Lady Chiltern then appears, and Lord Goring informs her that Sir Robert's letter has been destroyed but that Mrs. Cheveley has stolen her note and plans to use it to destroy her marriage. At that moment, Sir Robert enters while reading Lady Chiltern's

title: An Ideal Husband

text: to a vulgar transaction and ruining the Chilterns' marriage. He then springs his trap. Removing the diamond brooch from his desk drawer, he binds it to Cheveley's wrist with a hidden lock. Goring then reveals how the item came into her possession. Apparently Mrs. Cheveley stole it from his cousin, Mary Berkshire, years ago. To avoid arrest, Cheveley must trade the incriminating letter for her release from the bejewelled handcuff. After Goring obtains and burns the letter, however, Mrs. Cheveley steals Lady Chiltern's note from his desk. Vengefully she plans to send it to Sir Robert misconstrued as a love

title: An Ideal Husband

text: the second act, which also takes place at Sir Robert's house, Lord Goring urges Sir Robert to fight Mrs. Cheveley and admit his guilt to his wife. He also reveals that he and Mrs. Cheveley were formerly engaged. After finishing his conversation with Sir Robert, Goring engages in flirtatious banter with Mabel. He also takes Lady Chiltern aside and obliquely urges her to be less morally inflexible and more forgiving. Once Goring leaves, Mrs. Cheveley appears, unexpected, in search of a brooch she lost the previous evening. Incensed at Sir Robert's reneging on his promise, she ultimately exposes Sir Robert

title: An Ideal Husband

text: Robert to sell him a Cabinet secret - which enabled Arnheim to buy shares in the Suez Canal Company three days before the British government announced its purchase of the company. Arnheim's payoff was the basis of Sir Robert's fortune, and Mrs. Cheveley has Robert's letter to Arnheim as proof of his crime. Fearing the ruin of both career and marriage, Sir Robert submits to her demands. When Mrs. Cheveley pointedly informs Lady Chiltern of Sir Robert's change of heart regarding the canal scheme, the morally inflexible Lady Chiltern, unaware of both her husband's past and the blackmail plot, insists

title: Integral closure of an ideal

text: ideal is always an ideal; see below.) "I" is said to be integrally closed if formula_7. The integral closure of an ideal appears in a theorem of Rees that characterizes an analytically unramified ring. Let "R" be a ring. The Rees algebra formula_14 can be used to compute the integral closure of an ideal. The structure result is the following: the integral closure of formula_15 in formula_16, which is graded, is formula_17. In particular, formula_1 is an ideal and formula_19; i.e., the integral closure of an ideal is integrally closed. It also follows that the integral closure of a homogeneous

title: The Man Who Wrote Frankenstein

text: Shelley as shown by several letters. "The Man Who Wrote Frankenstein" includes a favorable review of "Shelley's Fiction" (1998) by Phyllis Zimmerman, a book in which Zimmerman argues for Percy Bysshe Shelley's authorship of "Frankenstein", and a short bibliography of books and articles about Percy Bysshe Shelley and "Frankenstein". Lauritsen praises poet Edmund Blunden's "" (1946), calling it the best short biography about Percy Bysshe Shelley. "The Man Who Wrote Frankenstein" was first published in 2007 by Pagan Press. "The Man Who Wrote Frankenstein" was praised by the critic Camille Paglia, who wrote in "Salon" that "Lauritsen assembles an overwhelming

title: An Ideal World

text: simultaneous global release for a comic. Xiao Pan also made an omnibus of the original Chinese version available for purchase. At the 2008 New York Comic Con, American-based graphic novel publisher Yen Press announced that they had acquired the rights to publish "An Ideal World" and would release it in full color. Rights were acquired from Xiao Pan, rather than Tian Jin Creator World Comic Co. On March 24, 2009, Yen Press released "An Ideal World" in North America as a single volume; at 176 pages long, the volume also includes character sketches, the additional French covers, and information on

title: Radical of an ideal

text: If an ideal "I" coincides with its own radical, then "I" is called a "radical ideal" or "semiprime ideal". Consider the ring Z of integers. Consider the ideal I = ("y") ⊂ C["x","y"]. It is not difficult to show formula_1 = ("y") directly, but we give some alternative methods. The radical formula_1 corresponds to the nilradical formula_11 of the quotient ring formula_12, which is the intersection of all prime ideals of the quotient ring. This is contained in the Jacobson radical, which is the intersection of all maximal ideals, which are the kernels of homomorphisms to fields. Any ring morphism

title: Symbolic power of an ideal

text: there is a clear geometric interpretation in the case when formula_2 is a radical ideal over an algebraically closed field of characteristic zero. If formula_24 is an irreducible variety whose ideal of vanishing is formula_2, then the "differential power" of formula_2 consists of all the functions in formula_1 that vanish to order ≥ "n" on formula_24, i.e. Or equivalently, if formula_30 is the maximal ideal for a point formula_31, formula_32. Theorem (Nagata, Zariski) Let formula_2 be a prime ideal in a polynomial ring formula_34 over an algebraically closed field. Then This result can be extended to any radical ideal. This

title: An Ideal World

text: the artwork "a waste of visual whimsy". Sam Kusek of PopCulture Shock also reviewed "An Ideal World" positively, grading it as a B+. Kusek applauded the artwork, saying that "colors really jump out" and set "the mood of the scene well, while keeping the backgrounds alive", and that character designs enhance "the mystical and magical elements of the story". Kusek liked the plot, but felt it was predictable; however, he noted that the main element and focus was the "philosophy of life" and that, overall, "An Ideal World" "flows really well". Writing for Comics Worth Reading, Ed Sizemore gave the

title: An Ideal World

text: beginning. School Library Journal's Lori Henderson reviewed "An Ideal World" positively; she praised the "Wizard of Oz feel" ending and the message that A You "controls his life, and he has the power to change it". Henderson called the characters "great" and the world "fantastic", also noting that the "cartoonish" and "exaggerated" artwork worked with the story. However, she remarked that the beginning of "An Ideal World" was "slow and plodding" and could "leave you wondering if it's ever going to go anywhere". Another School Library Journal critic, Joanna Fabicon, felt that the lessons and themes were "unimaginative", which made

title: An Ideal World

text: well as several other companies, which released it in five volumes entitled "Un Monde Idéal" ("An Ideal World") from September 15, 2006 to March 14, 2007. Contracts were made that allowed for the French, South Korean, Taiwanese, and Mainland Chinese companies to release the five volumes at the same time as the original company; French, Chinese, and Korean language editions were published through a partnership with Beijing Total Vision Culture Spreads. "An Ideal World"'s global release was meant to aid in the development of the Chinese comic industry and create a new business model, and its release marked the first

title: An Ideal World

text: work harder, and he eventually gets married to his co-worker and friend Su Fei. The two are shown years later at the grand opening of Grandpa Beard's Fun House, a restaurant themed after Grandpa Beard, where A You sees he will accomplish his dream and spread happiness. "An Ideal World", authored by Weidong Chen and illustrated by Chao Peng, was originally published in China by the Tian Jin Creator World Comic Company and entitled "Seek Self's World". It is part of the company's Cunren Fairy Tale series. "An Ideal World" was licensed by the French manhua company Xiao Pan, as

title: Integral closure of an ideal

text: ideal is homogeneous. The following type of results is called the Briancon–Skoda theorem: let "R" be a regular ring and an ideal generated by elements. Then formula_20 for any formula_21. A theorem of Rees states: let ("R", "m") be a noetherian local ring. Assume it is formally equidimensional (i.e., the completion is equidimensional.). Then two "m"-primary ideals formula_22 have the same integral closure if and only if they have the same multiplicity. Integral closure of an ideal In algebra, the integral closure of an ideal "I" of a commutative ring "R", denoted by formula_1, is the set of all elements

title: Symbolic power of an ideal

text: Symbolic power of an ideal In algebra and algebraic geometry, given a commutative Noetherian ring formula_1 and an ideal formula_2 in it, the "n"-th symbolic power of formula_2 is the ideal where formula_5 is the localization of formula_1 to formula_7 and the intersection runs through all of the associated primes of formula_8 Though this definition does not require formula_2 to be prime, this assumption is often worked with because in the case of a prime ideal, the symbolic power can be equivalently defined as the formula_10-primary component of formula_11. Very roughly, it consists of functions with zeros of order "n"

title: Integral closure of an ideal

text: Integral closure of an ideal In algebra, the integral closure of an ideal "I" of a commutative ring "R", denoted by formula_1, is the set of all elements "r" in "R" that are integral over "I": there exist formula_2 such that It is similar to the integral closure of a subring. For example, if "R" is a domain, an element "r" in "R" belongs to formula_1 if and only if there is a finitely generated "R"-module "M", annihilated only by "r", such that formula_5. It follows that formula_1 is an ideal of "R" (in fact, the integral closure of an

title: An Ideal for Living

text: only included on CD and cassette versions of the album), the need for diehard Joy Division fans to obtain this EP had notably decreased. All songs written by Joy Division. An Ideal for Living An Ideal for Living is the first EP by the English post-punk band Joy Division. It was released in 1978 by the band's own label, Enigma, shortly after the group changed its name from Warsaw. All tracks were recorded at Pennine Sound Studios in Oldham on 14 December 1977. The recording sessions were self-financed by the band, on a budget of £400. The release reflects the

title: An Ideal Husband (2000 film)

text: and very existence are threatened when Mrs. Laura Cheveley appears with evidence of a past misdeed of Sir Robert's. It transpires that Robert's wealth stems from insider trading concerning a proposed canal project at an unspecified location. She attempts to blackmail Sir Robert into supporting the project - in which she has invested heavily - and in desperation, Sir Robert turns for help to his friend Lord Goring, an apparently idle philanderer. Goring knows the lady from years before. After several varieties of machination, the story ends happily. Lord Goring marries Robert's sister Mabel, Mrs. Chevely is outsmarted, and Lady

title: Husband

text: was awarded with much authority, differing from that of his wife (in these cultures, no polygamy existed). In the Middle Ages and Early Modern European history, it was unusual to marry out of love, but then doing so became an influential ideal. During this period, a husband in a heterosexual marriage had more opportunities in society than his wife, who was not recognized as legally independent. In contemporary secularized Western culture, the rights of the spouses have been made equal. The civil marriage generally forces the wealthier spouse ""breadwinner"" to provide alimony to the former spouse, even after separation and

title: An Ideal

text: day, living in the night, venturing through this metropolis, we all see things with our own way. But why not observe our world with Ronghao Li's perspective. See things in a new way. See loneliness in a new way. See sadness in a new way. In a brighter way. And sing our ideals." An Ideal has average to positive reviews on Douban, which is the Chinese equivalent of IMDB, 6.6 out of 10, with 1669 critics and listeners, with most of them (33.5%) giving the album 3/5 stars. Most of the audience gave the album 1 to 3 stars whilst

title: An Ideal for Living

text: An Ideal for Living An Ideal for Living is the first EP by the English post-punk band Joy Division. It was released in 1978 by the band's own label, Enigma, shortly after the group changed its name from Warsaw. All tracks were recorded at Pennine Sound Studios in Oldham on 14 December 1977. The recording sessions were self-financed by the band, on a budget of £400. The release reflects the band's early punk influences, as opposed to the post-punk style they later developed. The cover has a black-and-white picture of a blond Hitler Youth member beating a drum, which was

title: Symbolic power of an ideal

text: characteristic by Hochster and Huneke. Their papers both build upon the results of Irena Swanson in "Linear Equivalence of Ideal Topologies" (2000). Theorem (Ein, Lazarfeld, Smith; Hochster, Huneke) Let formula_47 be a homogeneous ideal. Then the containment It was later verified that the bound of formula_50 in the theorem cannot be tightened for general ideals. However, following a question posed by Bocci, Harbourne, and Huneke, it was discovered that a better bound exists in some cases. Theorem The containment formula_51 for all formula_52 holds Symbolic power of an ideal In algebra and algebraic geometry, given a commutative Noetherian ring formula_1

title: Radical of an ideal

text: the set of associated primes of "M". The primary motivation in studying "radicals" is "Hilbert's Nullstellensatz" in commutative algebra. One version of this celebrated theorem states that for any ideal "J" in the polynomial ring formula_40 over an algebraically closed field "k", one has where and Geometrically, this says that if a variety "S" is cut out by the polynomial equations formula_44, then the only other polynomials which vanish on "S" are those in the radical of the ideal formula_45. Another way of putting it: The composition formula_46 is a closure operator on the set of ideals of a ring.

title: Radical of an ideal

text: formula_1, is defined as Intuitively, formula_1 is obtained by taking all roots of elements of "I" within the ring "R". Equivalently, formula_1 is the pre-image of the ideal of nilpotent elements (the nilradical) in the quotient ring formula_6. The latter shows formula_1 is itself an ideal. If the radical of "I" is finitely generated, then some power of formula_1 is contained in "I". In particular, If "I" and "J" are ideals of a noetherian ring, then "I" and "J" have the same radical if and only if "I" contains some power of "J" and "J" contains some power of "I".

title: Frederick Douglass: The Lion Who Wrote History

text: Frederick Douglass: The Lion Who Wrote History Frederick Douglass: The Lion Who Wrote History is a 2017 picture book biography by Walter Dean Myers about the life of Frederick Douglass. "BookList", in a starred review, wrote "Focused, informative writing and strong, effective illustrations combine to make this the go-to Frederick Douglass biography for younger students." and the "School Library Journal" wrote "Although this title is similar in scope to Doreen Rappaport's "Frederick's Journey", the two books complement each other. Recommended for collections looking to further explore Douglass's legacy." "The Buffalo News" called it an "excellent illustrated biography". "Frederick Douglass: The

title: Ideal type

text: moral ideals nor to statistical averages but rather to stress certain elements common to most cases of the given phenomenon. It is also important to pay attention that in using the word "ideal" Max Weber refers to the world of ideas (, "mental images") and not to perfection; these "ideal types" are idea-constructs that help put the seeming chaos of social reality in order. Weber himself wrote: "An ideal type is formed by the one-sided accentuation of one or more points of view and by the synthesis of a great many diffuse, discrete, more or less present and occasionally absent

title: Husband-selling

text: of an area, Chandler wrote, the other spouse, even after 10 years, could petition a court to allow the latter slave to find a buyer so the couple could reunite; such cases, in which the wife was sold first and the husband second, were litigated in 1802 and 1806. In 1808, reported Chandler, a master had sold a slave husband to another master; the slave objected to a breakup of his family and a court ordered visitations; after a subsequent dispute between the slaves and the selling master, the master who sold the husband "brought suit against the new owner

title: The Man Who Wrote Frankenstein

text: Hunt, as well as the "nature of the manuscript evidence", showed that the work was "conceived and mainly written by Mary Shelley". The Man Who Wrote Frankenstein The Man Who Wrote Frankenstein is a 2007 book written and published by John Lauritsen, in which the author argues that the poet Percy Bysshe Shelley, not his wife Mary Shelley, is the real author of "Frankenstein" (1818), that the novel "has consistently been underrated and misinterpreted", and that its dominant theme is "male love". Lauritsen maintains that handwriting cannot be used to determine the actual author of "Frankenstein". His work received positive

title: The Man Who Wrote Frankenstein

text: The Man Who Wrote Frankenstein The Man Who Wrote Frankenstein is a 2007 book written and published by John Lauritsen, in which the author argues that the poet Percy Bysshe Shelley, not his wife Mary Shelley, is the real author of "Frankenstein" (1818), that the novel "has consistently been underrated and misinterpreted", and that its dominant theme is "male love". Lauritsen maintains that handwriting cannot be used to determine the actual author of "Frankenstein". His work received positive reviews in gay publications. However, some commentators in other publications rejected Lauritsen's views and supported the conventional view that "Frankenstein" was written

title: Symbolic power of an ideal

text: along the variety defined by formula_2. We have: formula_13 and if is a maximal ideal, then formula_14. Symbolic powers induce the following chain of ideals: The study and use of symbolic powers has a long history in commutative algebra. Krull’s famous proof of his principal ideal theorem uses them in an essential way. They first arose after primary decompositions were proved for Noetherian rings. Zariski used symbolic powers in his study of the analytic normality of algebraic varieties. Chevalley's famous lemma comparing topologies states that in a complete local domain the symbolic powers topology of any prime is finer than

title: An Ideal Husband (1999 film)

text: comedy". It received a positive review from Roger Ebert. Entertainment Weekly called it "delightful". The New York Observer said it was "immensely entertaining". On RottenTomatoes.com it has a positive review rating of 86% Fresh. Julianne Moore was nominated for the Chicago Film Critics Award for Best Supporting Actress, a Golden Globe for Best Actress in a Comedy or Musical, and a Golden Satellite Award for Best Actress in a Comedy or Musical. Moore won the National Board of Review award for Supporting Actress for her performances. The film was nominated for awards in three BAFTA categories: director Oliver Parker for

text: Lion Who Wrote History" has also been reviewed by "Kirkus Reviews", "Publishers Weekly", "The New York Times", and Common Sense Media. Frederick Douglass: The Lion Who Wrote History Frederick Douglass: The Lion Who Wrote History is a 2017 picture book biography by Walter Dean Myers about the life of Frederick Douglass. "BookList", in a starred review, wrote "Focused, informative writing and strong, effective illustrations combine to make this the go-to Frederick Douglass biography for younger students." and the "School Library Journal" wrote "Although this title is similar in scope to Doreen Rappaport's "Frederick's Journey", the two books complement each other.

title: Ideal Bikes

text: and "Ideal Bikes" is an extremely popular brand, especially in Europe, with a network of distributors throughout the continent. Other branches of the Maniatopoulos family have been involved in the automotive sector, like the owners of "MAVA" (the Renault importer in Greece, who designed and produced the MAVA-Renault Farma automobile). In its first year as a professional team the Team Volksbank started as "Volksbank-Ideal". The Swiss/Latvian team Rietumu Bank-Riga is sponsored by Ideal and begun as "Rietumu Bank-Riga-Ideal". Several mountain-bike teams have won international titles on Ideal bikes: Ideal Bikes Ideal Bikes is a Greek bicycle manufacturer located in Agios

title: The Perfect Husband (2003)

text: her in-laws and that she produce a male heir within a year of holy matrimony! The film, a romantic comedy cum social satire, predominantly in English with a smattering of Hindi and Punjabi, is a modern and thought-provoking look at the Indian marriage 'game' – the quest for the only security symbol that most Indian women possesses: a husband, perfect or otherwise! The Perfect Husband is the beautiful story of Jaya [21], who, inspired by the Shakespearean ideal of "the marriage of true minds" and heavily influenced by the American trend of "finding your own mate" rebels against tradition and

title: Ideal (group)

text: Ideal (group) Ideal was an American R&B quartet from Houston, Texas, United States. The group Ideal debuted in 1999 and is composed of brothers Maverick Cotton and Swab, their cousin PZ and high school friend J-Dante. The group is best known for its hit songs "Get Gone" and "Whatever." Ideal also had a 5th member who started with the Original Group in 1992, Charles Vienn II, who now goes by the stage name "EDWIN VICTORY". He left the group in 1998 to pursue his own musical and entertainment interest. He is best known for his creation of "The Baby Isaac

title: Multiplier ideal

text: Multiplier ideal In commutative algebra, the multiplier ideal associated to a sheaf of ideals over a complex variety and a real number "c" consists (locally) of the functions "h" such that is locally integrable, where the "f" are a finite set of local generators of the ideal. Multiplier ideals were independently introduced by (who worked with sheaves over complex manifolds rather than ideals) and , who called them adjoint ideals. Multiplier ideals are discussed in the survey articles , , and . In algebraic geometry, the multiplier ideal of an effective formula_2-divisor measures singularities coming from the fractional parts of

title: Ideal (play)

text: Ideal (play) Ideal is a play written by Ayn Rand. It follows Kay Gonda, a movie star suspected of murder, as she seeks support from various fans, most of whom disappoint her. Written in the 1930s, it was never produced or published during Rand's lifetime. Since her death it has since been published multiple times and produced twice, in 1989 and 2010. Rand originally wrote the story as a novelette in 1934, and revised it to a stage play around 1936. The text of the play was first published in 1984 as part of "The Early Ayn Rand", an anthology

title: Who Wrote The Dead Sea Scrolls?

text: Hartmut Stegemann. "Qumran und das Judentum zur Zeit Jesu" 84 (1994): 175-94 as basing "his support of the Essene hypothesis of factors of hierarch, initiation rites, community of goods, ritual baths, a common meal and views on marriage as well as calendar." They then refer to the alternative estimate of Golb, "that the scrolls came from Jerusalem to a fortress in Qumran during the siege of Jerusalem around 70 CE Who Wrote The Dead Sea Scrolls? Who Wrote The Dead Sea Scrolls?: The Search For The Secret Of Qumran is a book by Norman Golb which intensifies the debate over

title: Who Wrote The Dead Sea Scrolls?

text: Who Wrote The Dead Sea Scrolls? Who Wrote The Dead Sea Scrolls?: The Search For The Secret Of Qumran is a book by Norman Golb which intensifies the debate over the origins of the Dead Sea Scrolls, furthering the opinion that the scrolls were not the work of the Essenes, as other scholars claim, but written in Jerusalem and moved to Qumran in anticipation of the Roman siege in 70 AD. Writing in "Church History", Gregory T. Armstrong stated: "This book is 'must reading' for every historian regardless of her or his period of specialization. It demonstrates how a particular

title: An Ideal for Living

text: drawn by guitarist Bernard Sumner (called "Bernard Albrecht" on the poster sleeve) and the words "Joy! Division" printed in a blackletter font. The cover design, coupled with the nature of the band's name, fuelled controversy over whether the band had Nazi sympathies. When the EP was re-released on 12-inch vinyl, the original cover was replaced by artwork featuring scaffolding. A 7" version of "An Ideal for Living" was released in June on the band's own Enigma label, which was sold out by September and was subsequently followed by a 12" version on 10 October on the band's own Anonymous Records

title: Radical of an ideal

text: formula_13 must have formula_14 in the kernel in order to have a well-defined morphism (if we said, for example, that the kernel should be formula_15 the composition of formula_16 would be formula_17 which is the same as trying to force formula_18). Since formula_19 is algebraically closed, every morphism formula_20 must factor through formula_19, so we only have the compute the intersection of formula_22 to compute the radical of formula_23. We then find that formula_24. This section will continue the convention that "I" is an ideal of a commutative ring "R": where formula_38 is the support of "M" and formula_39 is

title: The Perfect Husband (2003)

text: Festival in January 2003 and shown in Cannes Film Festival in May 2004. However, a court case on flimsy ground by the co financier stalled the release. The Perfect Husband is the beautiful story of Jaya [21], who, inspired by the Shakespearean ideal of "the marriage of true minds" and heavily influenced by the American trend of "finding your own mate" rebels against tradition and family. She sets out to find a man who truly loves and values her – one who does not treat her like a vassal meant only to satisfy his needs, like some men do !!!

title: Monomial ideal

text: Monomial ideal In algebra, a monomial ideal is an ideal generated by some monomials in a multivariate polynomial ring over a field. A toric ideal is an ideal generated by differences of monomials (provided the ideal is a prime ideal). An affine or projective algebraic variety defined by a toric ideal or a homogeneous toric ideal is an affine or projective toric variety, possibly non-normal. Let formula_1 be a field and formula_2 be the polynomial ring over formula_1 with formula_4 variables formula_5. A monomial in formula_6, is a product formula_7 for an formula_4 tuple formula_9 of nonnegative integers. An ideal

title: Ideal (ethics)

text: live up to their ideal self. Ideal (ethics) An ideal is a principle or value that one actively pursues as a goal, usually in the context of ethics, and one's prioritization of ideals can serve to indicate the extent of one's dedication to each. For example, someone who espouses the ideal of honesty, but is willing to lie to protect a friend, demonstrates not only devotion to friendship, but also belief in its supersedence of honesty in importance. The belief in ideals is called ethical idealism. In some theories of applied ethics, such as that of Rushworth Kidder, there is

title: Monomial ideal

text: see this, notice that for any polynomial formula_24 in the ideal, can be expressed as formula_104 for formula_105. Then the leading term of formula_24 is a multiple for some formula_107. As a result, formula_86 is generated by the formula_107 likewise. Monomial ideal In algebra, a monomial ideal is an ideal generated by some monomials in a multivariate polynomial ring over a field. A toric ideal is an ideal generated by differences of monomials (provided the ideal is a prime ideal). An affine or projective algebraic variety defined by a toric ideal or a homogeneous toric ideal is an affine or

title: The Thin Ideal

text: this ideal for her well-being and peace of mind, may have serious psychological effects. The degree to which women are psychologically affected by the thin ideal depends to what extent the ideal is internalized. An article from a journal written by Ahern, et al. highlights these ideals. Women generally relate the ideally thin body to positive life outcomes such as happiness, confidence, and romantic success, and consequently a majority of women value the thin ideal to some extent. However, it is important to recognize the distinction between women who are aware of the advantage of thinness versus those who internalize

title: Ideal number

text: Ideal number In number theory an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings. An ideal in the ring of integers of an algebraic number field is "principal" if it consists of multiples of a single element of the ring, and "nonprincipal" otherwise. By the principal ideal theorem any nonprincipal ideal becomes principal when extended to an ideal of the Hilbert class field. This means that there is an element of the

title: Irreducible ideal

text: Irreducible ideal In mathematics, a proper ideal of a commutative ring is said to be irreducible if it cannot be written as the intersection of two strictly larger ideals. An element of an integral domain is prime if, and only if, an ideal generated by it is a nonzero prime ideal. This is not true for irreducible ideals: an irreducible ideal may be generated by an element that is not an irreducible element, as is the case in formula_8 for the ideal formula_12: It is not the intersection of two strictly greater ideals. An ideal "I" of a ring "A"

title: Ideal Mini School

text: It was agreed that the school board would assess Ideal's situation at Lord Byng for six months, and if the accommodation was deemed inadequate, it would be relocated again. Lord Byng and Ideal did not co-exist well, and parents and students wrote complaint letters to the media. Relocation to the former site of L'École Bilingue Elementary in Shannon Park was considered, but residents of the area disapproved of the presence of a secondary school. Eventually, Ideal was relocated to 855 West 59th Avenue. In 1995, Ideal Mini School came in first in British Columbia provincial exam results for English 12

title: The Husband Who Was to Mind the House

text: the end of the rope to himself. He went to grind grain for the porridge, but the cow fell off, and because he had run the rope through the chimney, it dragged him up. The wife returned and cut the rope so the cow came down but she found her husband with his head stuck in the pot. The Husband Who Was to Mind the House The Husband Who Was to Mind the House is a Norwegian fairy tale collected by Peter Christen Asbjørnsen and Jørgen Moe in their "Norske Folkeeventyr". It is Aarne-Thompson type 1408 The man who does

title: The Husband Who Was to Mind the House

text: The Husband Who Was to Mind the House The Husband Who Was to Mind the House is a Norwegian fairy tale collected by Peter Christen Asbjørnsen and Jørgen Moe in their "Norske Folkeeventyr". It is Aarne-Thompson type 1408 The man who does his wife's work. A husband complained so much about his wife that she suggested that he stay home and do her work. He agrees. He starts to churn butter, but decides to get ale. He hears the pig upstairs, runs to stop it, but does not arrive in time to keep it from overturning the churn, and forgets

title: Regular ideal

text: Regular ideal In mathematics, especially ring theory, a regular ideal can refer to multiple concepts. In operator theory, a right ideal formula_1 in a (possibly) non-unital ring "A" is said to be regular (or modular) if there exists an element "e" in "A" such that formula_2 for every formula_3. In commutative algebra a regular ideal refers to an ideal containing a non-zero divisor. This article will use "regular element ideal" to help distinguish this type of ideal. A two-sided ideal formula_1 of a ring "R" can also be called a (von Neumann) regular ideal if for each element "x" of

title: The Man Who Wrote Frankenstein

text: that while he argues that Mary Shelley was not well educated enough to have written "Frankenstein", his argument fails because "it is not a good, let alone a great novel and hardly merits the attention it has been given." Lauritsen replied that "Frankenstein" "is a radical and disturbing work, containing some of the most beautiful prose in the English language ... a profound and moving masterpiece, fully worthy of its author, Percy Bysshe Shelley." "The Man Who Wrote Frankenstein" received positive reviews from Jim Herrick in "Gay Humanist Quarterly", Hubert Kennedy in "The Guide", and Douglas Sadownick in "The Gay

title: Dear Future Husband

text: Jim Hoke. The song was mastered by David Kutch at The Mastering Palace, New York City, New York. Adam Markovitz of "Entertainment Weekly" awarded "Dear Future Husband" an "A−" rating in a review of the "Title" EP, and deemed it an "irresistible" sock hop throwback. Chris DeVille of Stereogum wrote that "Dear Future Husband" was interchangeable in its lyrical content in comparison with the EP's title track. Lindsey Weber of "New York Magazine" opined that the track "reads like 'All About That Bass' Pt. II". "Time" journalist Nolan Feeney wrote that the song's rallying against "hookup culture" was "rare" in

title: Regular ideal

text: ideal "A"+"J" is quotient von Neumann regular if "J" is. Regular ideal In mathematics, especially ring theory, a regular ideal can refer to multiple concepts. In operator theory, a right ideal formula_1 in a (possibly) non-unital ring "A" is said to be regular (or modular) if there exists an element "e" in "A" such that formula_2 for every formula_3. In commutative algebra a regular ideal refers to an ideal containing a non-zero divisor. This article will use "regular element ideal" to help distinguish this type of ideal. A two-sided ideal formula_1 of a ring "R" can also be called a

title: Tony Husband

text: School in Hyde, Greater Manchester. He married Carole Garner in 1976. They have one son, photographer Paul Husband (born 1978), with whom Tony wrote the book From A Dark Place. Tony became a full-time cartoonist in 1984. Tony Husband William Anthony (Tony) Husband (born 28 August 1950) is a British cartoonist known for black humour. His cartoons appear on greeting cards, and he has a regular cartoon strip in "Private Eye" entitled "Yobs" that has been published since the late 1980s. He co-wrote the "Round the Bend" children's television series, which ran from 1989 to 1991, and was also involved

title: Irreducible ideal

text: variety of its Nullstelle in the affine space. Irreducible ideal In mathematics, a proper ideal of a commutative ring is said to be irreducible if it cannot be written as the intersection of two strictly larger ideals. An element of an integral domain is prime if, and only if, an ideal generated by it is a nonzero prime ideal. This is not true for irreducible ideals: an irreducible ideal may be generated by an element that is not an irreducible element, as is the case in formula_8 for the ideal formula_12: It is not the intersection of two strictly greater

title: Irrelevant ideal

text: to the irrelevant ideal. More generally, for an arbitrary graded ring "R", the Proj construction disregards all irrelevant ideals of "R". Irrelevant ideal In mathematics, the irrelevant ideal is the ideal of a graded ring generated by the homogeneous elements of degree greater than zero. More generally, a homogeneous ideal of a graded ring is called an irrelevant ideal if its radical contains the irrelevant ideal. The terminology arises from the connection with algebraic geometry. If "R" = "k"["x", ..., "x"] (a multivariate polynomial ring in "n"+1 variables over an algebraically closed field "k") graded with respect to degree, there

title: Artinian ideal

text: Artinian ideal In abstract algebra, an Artinian ideal, named after Emil Artin, is encountered in ring theory, in particular, with polynomial rings. Given a polynomial ring "R" = "k"["X", ... "X"] where "k" is some field, an Artinian ideal is an ideal "I" in "R" for which the Krull dimension of the quotient ring "R"/"I" is 0. Also, less precisely, one can think of an Artinian ideal as one that has at least each indeterminate in "R" raised to a power greater than 0 as a generator. If an ideal is not Artinian, one can take the Artinian closure of

title: Ideal (group)

text: Crew", a group of mascot characters who do positive and uplifting hip hop songs for kids. Ideal's eponymous debut album was released by Virgin Records on August 24, 1999. The album sold 615,000 units in the U.S., according to Nielsen SoundScan, and was certified Gold by the RIAA. Allmusic's Heather Phares called Ideal's initial effort a "heartfelt first album" which showcased the "group's smooth, sensuous vocal styling and romantic songwriting. Ideal (group) Ideal was an American R&B quartet from Houston, Texas, United States. The group Ideal debuted in 1999 and is composed of brothers Maverick Cotton and Swab, their cousin

title: Ideal (ethics)

text: Ideal (ethics) An ideal is a principle or value that one actively pursues as a goal, usually in the context of ethics, and one's prioritization of ideals can serve to indicate the extent of one's dedication to each. For example, someone who espouses the ideal of honesty, but is willing to lie to protect a friend, demonstrates not only devotion to friendship, but also belief in its supersedence of honesty in importance. The belief in ideals is called ethical idealism. In some theories of applied ethics, such as that of Rushworth Kidder, there is importance given to such orders as

title: Ideal triangle

text: circle. Note that in the Beltrami-Klein model, the angles at the vertices of an ideal triangle are not zero, because the Beltrami-Klein model, unlike the Poincaré disk and half-plane models, is not conformal i.e. it does not preserve angles. The real ideal triangle group is the reflection group generated by reflections of the hyperbolic plane through the sides of an ideal triangle. Algebraically, it is isomorphic to the free product of three order-two groups (Schwarz 2001). Ideal triangle In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes

title: Ideal point

text: For instance, the unit circle forms the Cayley absolute of the Poincaré disk model and the Klein disk model. While the real line forms the Cayley absolute of the Poincaré half-plane model . Pasch's axiom and the exterior angle theorem still hold for an omega triangle, defined by two points in hyperbolic space and an omega point. if all vertices of a triangle are ideal points the triangle is an ideal triangle. Ideal triangles have a number of interesting properties: if all vertices of a quadrilateral are ideal points the quadrilateral is an ideal quadrilateral. While all ideal triangles are

title: Symbolic power of an ideal

text: the prime ideal formula_41. Here we have that formula_42. However, formula_43 does hold and the generalization of this containment is well understood. Indeed, the containment formula_44follows from the definition. Further, it is known that formula_45 if and only if formula_46. The proof follows from Nakayama's lemma. There has been extensive study into the other containment, when symbolic powers are contained in ordinary powers of ideals, referred to as the Containment Problem. Once again this has an easily stated answer summarized in the following theorem. It was developed by Ein, Lazarfeld, and Smith in characteristic zero and was expanded to positive

title: Ideal tasks

text: Ideal tasks Ideal tasks arise during task analysis. Ideal tasks are different from real tasks. They are ideals in the Platonic sense of a circle being an ideal whereas a drawn circle is flawed and real. The study of theoretically best or “mathematically ideal” tasks (Green & Swets, 1966), has been the basis of the branch of stimulus control in psychology called Psychophysics as well as being part of Artificial Intelligence (e. g. Goel & Chandrasekaran, 1992). Such studies include the instantiation of such ideal tasks in the real world. The notion of the ideal task has also played an

title: The Thin Ideal

text: The Thin Ideal The Thin Ideal is the concept of the ideally slim female body. The common perception of this ideal is a woman who possesses a slender, feminine physique with a small waist and little body fat. The size that the thin ideal woman should be is decreasing while the rate of female obesity is simultaneously increasing, making this iconic body difficult for women to maintain. This creates a gap between the actual appearance of an average woman’s body and its expected appearance which, depending on the extent to which a woman internalizes the necessity of living up to

title: Differential ideal

text: Differential ideal In the theory of differential forms, a differential ideal "I" is an "algebraic ideal" in the ring of smooth differential forms on a smooth manifold, in other words a graded ideal in the sense of ring theory, that is further closed under exterior differentiation "d". In other words, for any form α in "I", the exterior derivative "d"α is also in "I". In the theory of differential algebra, a differential ideal "I" in a differential ring "R" is an ideal which is mapped to itself by each differential operator. An exterior differential system consists of a smooth manifold

title: Different ideal

text: +1 (in fact this happens only for the case "K" = Q). Define the "inverse different" or "codifferent" or "Dedekind's complementary module" as the set "I" of "x" ∈ "K" such that tr("xy") is an integer for all "y" in "O", then "I" is a fractional ideal of "K" containing "O". By definition, the different ideal δ is the inverse fractional ideal "I": it is an ideal of "O". The ideal norm of "δ" is equal to the ideal of "Z" generated by the field discriminant "D" of "K". The "different of an element" α of "K" with minimal polynomial