Member of the Los Angeles County Board of Supervisors

Hilda H��nchen (later Hilda Lindberg or Hilda Lindberg-H��nchen, 1 September 1919 - 19 October 2013) was a German physicist.

Hilda M��dra, n��e Hildegard Klimpel (born January 1, 1926) is an Austrian-born Slovak figure skating coach. Her most notable student was Ondrej Nepela, the 1972 Olympic champion.

In mathematical analysis, the Hilbert���Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self-adjoint operators on Hilbert spaces. In the theory of partial differential equations, it is very useful in solving elliptic boundary value problems.

Organbuilder and telecommunication engineer

Hilda Teresia Borgstr��m (13 October 1871 ��� 2 January 1953) was a Swedish stage and film actress. Born in Stockholm, Borgstr��m is considered one of Sweden's most legendary silent film actresses. She made her film debut in 1912. She starred in leading parts in Victor Sj��str��m's classic silent films Ingeborg Holm (aka Margaret Day) (1913) and K��rkarlen (aka The Phantom Carriage/The Stroke of Midnight/Thy Soul Shall Bear Witness) in 1921.

Hilda Mary Moore (born 1886 in London ��� 18 May 1929 in New York City) was a British stage and film actress. Hilda Moore served in France in WW1 with the FANY British Convoy (First Aid Nursing Yeomanry). The FANY were the first women to drive officially for the British Army. They also worked for the Belgian and French Armies.

In commutative algebra the Hilbert���Samuel function, named after David Hilbert and Pierre Samuel, of a nonzero finitely generated module over a commutative Noetherian local ring and a primary ideal of is the map such that, for all ,where denotes the length over . It is related to the Hilbert function of the associated graded module by the identityFor sufficiently large , it coincides with a polynomial function of degree equal to .

Hilda H��lzl (2 January 1927 - 10 November 1992) was a Slovenian dramatic soprano.She was born at Belgrade and made her debut in Zagreb in 1957, singing the role of Leonora in Giuseppe Verdi's Il trovatore.She died in Ljubljana in November 1992.

Hilda Alice Ogden (n��e Crabtree) is a fictional character from the British television series Coronation Street, one of the best-known of all the regular characters in the soap opera, whose name became synonymous with a certain type of working-class woman. She was played by Jean Alexander from 1964 to 1987.For much of her period as a character in the Street, Hilda worked as cleaner of the Rover's Return Inn. A gossip and busy-body, many of her storylines were used for comedic purposes, though equally the character was used for dramatic effect; a scene in which she wept over the sight of her recently deceased husband's spectacles has been hailed as one of the most moving images in television history.Actress Jean Alexander quit the role in 1987 after 23 years, but was persuaded to reprise the part in 1990 for a one-off appearance as part of an ITV Telethon. She has also been seen in a spin-off video in 1998, in which another long-running character, Betty Williams, visited her at her new home.Arguably the serial's most popular character of all time, Hilda was voted the greatest TV character in a Radio Times poll of over 5,000 people. The trademark image of Hilda, wearing hair curlers and a head scarf, has inspired art and catwalk themes. Despite various producers expressing their desire to see the character return, actress Jean Alexander has been openly critical about the direction Coronation Street has taken, vowing never to reprise the role of Hilda again.Alexander had previously appeared in 1962 as Mrs. Webb, the landlady of Joan Akers, who abducted Christopher Hewitt.

Hilda Rix Nicholas (n��e Rix, later Hilda Rix Wright, 1 September 1884 ��� 3 August 1961) was an Australian artist. Hilda Rix was born in the Victorian city of Ballarat. Her father was an education administrator and poet, her mother a musician and artist. She studied under a leading member of the Heidelberg School, Frederick McCubbin, at the National Gallery of Victoria Art School from 1902 to 1905 and was an early member of the Melbourne Society of Women Painters and Sculptors.

Organ builder and telecommunication engineer

from California's 31st congressional district

Hilda Beatriz 'Chiche' Gonz��lez de Duhalde (born October 14, 1946) is a politician in Argentina. She served as a Senator for Buenos Aires Province, and as the First Lady during the government of her husband, President Eduardo Duhalde.

Hilda Rix Nicholas (n��e Rix, later Hilda Rix Wright, 1 September 1884 ��� 3 August 1961) was an Australian artist. Hilda Rix was born in the Victorian city of Ballarat. Her father was an education administrator and poet, her mother a musician and artist. She studied under a leading member of the Heidelberg School, Frederick McCubbin, at the National Gallery of Victoria Art School from 1902 to 1905 and was an early member of the Melbourne Society of Women Painters and Sculptors. Following the death of her father in 1907, Hilda Rix, her only sibling Elsie and her mother travelled to Europe where she undertook further study in London and then in Paris. Her teachers during the period included John Hassall, Richard Emil Miller and Th��ophile Steinlen.After travelling to Tangiers in 1912, Rix held several successful exhibitions of her work, with one drawing, Grande marche, Tanger, purchased by the French government. She was one of the first Australians to paint post-impressionist landscapes, was made a member of the Soci��t�� des Peintres Orientalistes Fran��ais, and had works hung in the Paris Salon first in 1911 and again in 1913. The family evacuated from France to England after the outbreak of World War I. A period of personal tragedy followed, as Rix's sister died in 1914, then her mother in 1915. In 1916 she met and married George Matson Nicholas, only to be widowed the next month when he was killed on the Western Front.Returning to Australia in 1918, Rix Nicholas once more took up professional painting, and held an exhibition of over a hundred works at Melbourne's Guild Hall. Many sold, including In Picardy, purchased by the National Gallery of Victoria. Following a period painting in rural locations in the early 1920s, Rix Nicholas returned to Europe. A 1925 exhibition in Paris led to the sale of her work In Australia to the Mus��e du Luxembourg, followed by an extensive tour of her paintings around regional British art galleries. There followed representation in other exhibitions, including at the International Society of Sculptors, Painters and Gravers, and the Royal Academy of Arts, both in London. Following the inclusion of several works in the 1926 Soci��t�� Nationale des Beaux-Arts Spring exhibition in Paris she was made an Associate of that organisation.In 1926, Rix Nicholas returned to Australia, and in 1928 she married Edgar Wright, whom she had met during her travels in the early 1920s. The couple settled at Delegate, New South Wales; their only child, a son named Rix Wright, was born in 1930. Though she continued to paint significant works including The Summer House and The Fair Musterer, Rix Nicholas, a staunch critic of modernism who was disdainful of the works of emerging major artists such as Russell Drysdale and William Dobell, grew out of step with trends in Australian art. Her pictures remained didactic, portraying an Australian pastoral ideal, and reviews of her exhibitions grew more uneven. She held her last solo show in 1947. Rix Nicholas remained at Delegate until her death in 1961. Her works are held in most major Australian collections, including the Art Gallery of South Australia, Australian War Memorial, National Gallery of Australia, National Gallery of Victoria, and the Queensland Art Gallery.

from California's 32nd congressional district

Hilda Beemer Kuper, n��e Beemer (23 August 1911 ��� 1992), was a social anthropologist most notable for her extensive work on Swazi culture. Born to Lithuanian Jewish and Austrian Jewish parents in Bulawayo, she moved to South Africa after the death of her father. She studied at the University of the Witwatersrand and, afterwards, at the London School of Economics under Malinowski.In 1934, after winning a fellowship to study in Swaziland, Kuper befriended King Sobhuza II who, together with Malinowski, helped to settle her into place at the Royal village of Lobamba, where she would pursue her research. Her publications on Swazi culture would include the two-part dissertation, An African Aristocracy: Rank among the Swazi (1947) and The Uniform of Colour: a Study of White���Black Relationships in Swaziland (1947), and The Swazi: a South African Kingdom (1963).Some years later, in Durban, Kuper became a founder member of the Liberal Party in Natal, as well as authoring Indian People in Natal (1960).In 1961 Kuper moved to Los Angeles, where she took up a teaching post at UCLA. In 1969 she won a Guggenheim fellowship, and in 1978 published an extensive, official biography of Sobhuza II, King Sobhuza II, Ngwenyama and King of Swaziland.

Hilda Maria K��kikoski (31 January 1864 ��� 14 November 1912) was a Finnish politician, writer and schoolteacher. She was one of the first nineteen women elected to Finnish parliament in 1906.

Hilda Lucia Solis (/so����li��s/; born October 20, 1957) is an American politician and a member of the Los Angeles County Board of Supervisors for District 1. Solis previously served as the 25th United States Secretary of Labor from 2009 to 2013, as part of the administration of President Barack Obama. She is a member of the Democratic Party and served in the United States House of Representatives from 2001 to 2009, representing the 31st and 32nd congressional districts of California that include East Los Angeles and the San Gabriel Valley.Solis was raised in La Puente, California, by immigrant parents from Nicaragua and Mexico. She gained degrees from the California State Polytechnic University, Pomona and the University of Southern California and worked for two federal agencies in Washington, D.C. Returning to her native state, she was elected to the Rio Hondo Community College Board of Trustees in 1985, the California State Assembly in 1992, and the California State Senate in 1994. She was the first Hispanic woman to serve in the State Senate, and was reelected there in 1998. Solis sought to pass environmental justice legislation. She was the first female recipient of the John F. Kennedy Profile in Courage Award in 2000.Solis defeated a long-time Democratic incumbent as part of getting elected to the U.S. House of Representatives in 2000, where she focused mainly on labor causes and environmental work. She was reelected easily to four subsequent terms. In December 2008, President-elect Barack Obama announced his intention to nominate Solis as the next U.S. Secretary of Labor. She took office after being confirmed by the United States Senate in February 2009, becoming the first Hispanic woman to serve in the U.S. Cabinet. There she focused on workplace safety issues and on strengthening compliance with wage and hour laws. In January 2013, Solis stepped down from her post as Labor Secretary.Returning to the area of her upbringing, in April 2014, Solis formally announced a campaign for a seat on the non-partisan Los Angeles County Board of Supervisors. Solis won the seat outright in a June 3 election and was sworn in on December 1.

In mathematics, the Hilbert���Smith conjecture is concerned with the transformation groups of manifolds; and in particular with the limitations on topological groups G that can act effectively (faithfully) on a (topological) manifold M.

Hilda Maria Carl��n (born 13 August 1991) is a Swedish football goalkeeper who plays for Pite�� IF of the Damallsvenskan. She has represented Sweden at senior international level.

Hilda Lucia Solis (/so����li��s/; born October 20, 1957) is an American politician and a member of the Los Angeles County Board of Supervisors for District 1. Solis previously served as the 25th United States Secretary of Labor from 2009 to 2013, as part of the administration of President Barack Obama.

In mathematics, a Hilbert���Schmidt operator, named for David Hilbert and Erhard Schmidt, is a bounded operator A on a Hilbert space H with finite Hilbert���Schmidt norm ��� A ��� H S 2 = T r ( A ��� A ) := ��� i ��� I ��� A e i ��� 2 {\displaystyle \|A\|_{HS}^{2}={\rm {Tr}}(A^{{}^{*}}A):=\sum _{i\in I}\|Ae_{i}\|^{2}} where ��� ��� {\displaystyle \|\ \|} is the norm of H, { e i : i ��� I } {\displaystyle \{e_{i}:i\in I\}} an orthonormal basis of H, and Tr is the trace of a nonnegative self-adjoint operator. Note that the index set need not be countable. This definition is independent of the choice of the basis, and therefore ��� A ��� H S 2 = ��� i , j | A i , j | 2 = ��� A ��� 2 2 {\displaystyle \|A\|_{HS}^{2}=\sum _{i,j}|A_{i,j}|^{2}=\|A\|_{2}^{2}} for A i , j = ��� e i , A e j ��� {\displaystyle A_{i,j}=\langle e_{i},Ae_{j}\rangle } and ��� A ��� 2 {\displaystyle \|A\|_{2}} the Schatten norm of A {\displaystyle A} for p=2. In Euclidean space ��� ��� H S {\displaystyle \|\ \|_{HS}} is also called Frobenius norm, named for Ferdinand Georg Frobenius.The product of two Hilbert���Schmidt operators has finite trace class norm; therefore, if A and B are two Hilbert���Schmidt operators, the Hilbert���Schmidt inner product can be defined as ��� A , B ��� H S = Tr ��� ( A ��� B ) = ��� i ��� A e i , B e i ��� . {\displaystyle \langle A,B\rangle _{\mathrm {HS} }=\operatorname {Tr} (A^{*}B)=\sum _{i}\langle Ae_{i},Be_{i}\rangle .} The Hilbert���Schmidt operators form a two-sided *-ideal in the Banach algebra of bounded operators on H. They also form a Hilbert space, which can be shown to be naturally isometrically isomorphic to the tensor product of Hilbert spaces H ��� ��� H , {\displaystyle H^{*}\otimes H,\,} where H* is the dual space of H.The set of Hilbert���Schmidt operators is closed in the norm topology if, and only if, H is finite-dimensional.An important class of examples is provided by Hilbert���Schmidt integral operators.Hilbert���Schmidt operators are nuclear operators of order 2, and are therefore compact.

Hilda Josefina Amalia Anderson Nev��rez (10 October 1938 ��� 5 July 2011) was a Mexican trade union leader and politician from the Institutional Revolutionary Party. She served as Deputy on five legislatures of the Mexican Congress (1964���97; 1970���73; 1982���85; 1988���91 and 2000���03) and as Senator from 1976 to 1982 representing Sinaloa.

Hilda Andrade Ord����ez (born 21 September 1973 in Warnes, Santa Cruz) is a female Bolivian football manager.

Hild is a 2013 historical novel and the sixth novel by British author Nicola Griffith. The book was first published in the United States by Farrar, Straus and Giroux on November 12, 2013 and in the United Kingdom on October 4, 2014 through Blackfriars Books. Griffith has stated that the book will be the first in a trilogy and that the tentative title for the second book will be Menewood.

Hilda Wilhelmina Josefina Caselli, or Casselli (1836-22 August 1903) was a Swedish reform educator. She played an important role in the debate of educational issues and women's education in Sweden in the late 19th-century. She served as principal of the Statens normalskola f��r flickor and vice principal of the H��gre l��rarinneseminariet, and became the founder of the regular national girls' school meetings, Flickskolem��te, in 1879.

Hilda Gertrude Abbott (nee Harnett) was the wife of the former Administrator of the Northern Territory, Charles Lydiard Aubrey Abbott. She is best known her contribution to the Northern Territory's Red Cross branch.

Hilda Gurney (born 1943) is an American equestrian. She was born in Los Angeles. She won a bronze medal in team dressage at the 1976 Summer Olympics in Montreal. Se participated at the 1984 Summer Olympics in Los Angeles, where the US dressage team placed sixth.

Hilda Vaughn was a female actress of the stage, radio, and television. Vaughn frequently played a ���pleb���, or a commoner in the films she acted in. More often than not, she portrayed waitresses, maids, charwomen, governesses, saleswomen, and slaveys. Her characters were outgoing and spunky. A fixture at MGM in the sound era of the early 1930s, Vaughn acted in multiple films. Her most notable films were 1933's "Dinner at Eight" and the 1940 film, Charlie Chan at the Wax Museum.

Hilda Aurora Vidal Vald��s (born August 13, 1941 in Havana, Cuba) is a Cuban artist, specializing in painting, drawing, design, sculpture, collage, artistic tapestry, and papier mache.Vidal from 1959 to 1961, studied fashion design and interior design at the Lily del Barrio's American Academy in Havana, Cuba, and in 1961, studied scenography and theater wardrobe at the Sala Arlequ��n in Havana, Cuba.

In mathematics, a Hilbert���Schmidt integral operator is a type of integral transform. Specifically, given a domain (an open and connected set) �� in n-dimensional Euclidean space Rn, a Hilbert���Schmidt kernel is a function k : �� �� �� ��� C with ��� �� ��� �� | k ( x , y ) | 2 d x d y < ��� {\displaystyle \int _{\Omega }\int _{\Omega }|k(x,y)|^{2}\,dx\,dy<\infty } (that is, the L2(������; C) norm of k is finite), and the associated Hilbert���Schmidt integral operator is the operator K : L2(��; C) ��� L2(��; C) given by ( K u ) ( x ) = ��� �� k ( x , y ) u ( y ) d y . {\displaystyle (Ku)(x)=\int _{\Omega }k(x,y)u(y)\,dy.} Then K is a Hilbert���Schmidt operator with Hilbert���Schmidt norm ��� K ��� H S = ��� k ��� L 2 . {\displaystyle \Vert K\Vert _{\mathrm {HS} }=\Vert k\Vert _{L^{2}}.} Hilbert���Schmidt integral operators are both continuous (and hence bounded) and compact (as with all Hilbert���Schmidt operators).The concept of a Hilbert���Schmidt operator may be extended to any locally compact Hausdorff spaces. Specifically, let X be a locally compact Hausdorff space equipped with a positive Borel measure. Suppose further that L2(X) is a separable Hilbert space. The above condition on the kernel k on Rn can be interpreted as demanding k belong to L2(X �� X). Then the operator ( K f ) ( x ) = ��� X k ( x , y ) f ( y ) d y {\displaystyle (Kf)(x)=\int _{X}k(x,y)f(y)\,dy} is compact. If k ( x , y ) = k ( y , x ) �� {\displaystyle k(x,y)={\overline {k(y,x)}}} then K is also self-adjoint and so the spectral theorem applies. This is one of the fundamental constructions of such operators, which often reduces problems about infinite-dimensional vector spaces to questions about well-understood finite-dimensional eigenspaces. See Chapter 2 of the book by Bump in the references for examples.

The Uniform of Colour: a Study of White���Black Relationships in Swaziland

Hilda Areli Narv��ez Bravo (born 7 October 1974) is a Mexican politician from the Institutional Revolutionary Party. From 2006 to 2009 he served as Deputy of the LX Legislature of the Mexican Congress representing Hidalgo.

In mathematics, the Hilbert���P��lya conjecture is a possible approach to the Riemann hypothesis, by means of spectral theory.

Hild is a 2013 historical novel and the sixth novel by British author Nicola Griffith. The book was first published in the United States by Farrar, Straus and Giroux on November 12, 2013 and in the United Kingdom on October 4, 2014 through Blackfriars Books. Griffith has stated that the book will be the first in a trilogy and that the tentative title for the second book will be Menewood. Hild is a fictionalized telling of the life of Hilda of Whitby, also known as Hild of Strean��shalch, a significant figure in medieval Britain.The book includes a map, a glossary of terms, and a pronunciation guide.

Hilda Alice Ogden (n��e Crabtree) is a fictional character from the British television series Coronation Street, one of the best-known of all the regular characters in the soap opera, whose name became synonymous with a certain type of working-class woman. She was played by Jean Alexander from 1964 to 1987.For much of her period as a character in the Street, Hilda worked as cleaner of the Rover's Return Inn.

Member of the U.S. House of Representatives

In mathematics, the Hilbert���Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of Q, which by the Kronecker���Weber theorem are isomorphic to subfields of cyclotomic fields.Hilbert���Speiser Theorem.

In mathematics, the Hilbert���Mumford criterion, introduced by David Hilbert and David Mumford, characterizes the semistable and stable points of a group action on a vector space in terms of eigenvalues of 1-parameter subgroups (Dieudonn�� & Carrell 1970, 1971,���p.58).

Hilda Fay is an Irish actor. She was nominated for an IFTA for best supporting actress for her role in whistlblower in 2009.She graduated from Trinity College, Dublin's Samuel Beckett Centre. She has appeared on stage in the Gate Theatre's "Threpenny Opera" Abbey Theatre's productions Little Gem (G��na Nua), which won the Carol Tambor award "the best of Edinburagh; she also shared the best actress award in the dublin fringe.

Hilda Beemer Kuper, n��e Beemer (23 August 1911 ��� 1992), was a social anthropologist most notable for her extensive work on Swazi culture. Born to Lithuanian Jewish and Austrian Jewish parents in Bulawayo, she moved to South Africa after the death of her father.

Hilda Teresia Borgstr��m (13 October 1871 ��� 2 January 1953) was a Swedish stage and film actress. Born in Stockholm, Borgstr��m is considered one of Sweden's most legendary silent film actresses. She made her film debut in 1912. She starred in leading parts in Victor Sj��str��m's classic silent films Ingeborg Holm (aka Margaret Day) (1913) and K��rkarlen (aka The Phantom Carriage/The Stroke of Midnight/Thy Soul Shall Bear Witness) in 1921. Borgstr��m started out to be a dancer and trained at the old Royal Theatre's ballet school in Stockholm 1880-87. Later she decided to turn to the theatre instead and studied drama to become an actress. The professional debut on stage came in 1890 at one of Albert Ranft's theatres. She was an actress of Sweden's national stage, the Royal Dramatic Theatre (Dramaten), between 1900���1912 and 1920-1938. Here, alongside becoming a star on film, she made a number of remarkable and critically acclaimed performances.She retired officially from stage in 1938, due to having developed a case of severe stage fright, and turned back to filming. She appeared in several notable supporting parts in Swedish films in the 1930s-1950s, for example in Ingmar Bergman's early 1948 film Music in Darkness, in the thriller Ett brott (A Crime) (1940) and in Kejsarn av Portugallien (The Emperor of Portugallia) (1944), based on the novel by Selma Lagerl��f, and in a pair of films by Hasse Ekman such as Kungliga patrasket (The Royal Rabble) (1945) and Flickan fr��n tredje raden (The Girl from the Third Row) (1949). Borgstr��m was also a teacher in the performing arts at the Royal Dramatic Theatre's acting school; Dramatens elevskola, in the 1930s-1940s. Altogether she made some 80 parts on film.She is today perhaps primarily known as the narrator in the short film Tomten - en vintersaga (The Tomte - A Winter's Tale) (1941), where she reads the poem Tomten by Viktor Rydberg. The film is shown at Christmas Eve every year on Swedish television.She remained unmarried all her life. Had one daughter, Gertrud (she never revealed the name of her father). She died in her native Stockholm on 2 January 1953.

Hilda Sj��lin (1835���1915) was a Swedish photographer, one of the first known professional woman pioneer photographers in her country.Sj��lin was raised in Malm�� as one of four daughters. On 24 May 1860 she advertised in Malm�� that she performed photography on glass, waxcanvas and paper, and by February 1861, she opened her own studio on V��stergatan, in the house where she was raised.Hilda Sj��lin was soon the "competent rival" of the other photographer of the city, C. M.
Hilda Sj��lin (1835���1915) was a Swedish photographer, one of the first known professional woman pioneer photographers in her country.Sj��lin was raised in Malm�� as one of four daughters. On 24 May 1860 she advertised in Malm�� that she performed photography on glass, waxcanvas and paper, and by February 1861, she opened her own studio on V��stergatan, in the house where she was raised.Hilda Sj��lin was soon the "competent rival" of the other photographer of the city, C. M. Tillberg, and no longer had to advertise. She was known for her card - and portrait photography, and was from 1864 also employed as a photographer of the city views. She was the first photographer to take stereographic images of Malm��. She is not known to be active after 1870. She left Malm�� in 1884, and moved to H��rby with her likewise unmarried sister in 1910.Hilda Sj��lin belonged to the pioneer generation of female professional photographers in Sweden after Brita Sofia Hesselius: the same time as she became active, Hedvig S��derstr��m in Stockholm (1857), Emma Schenson in Uppsala and Wilhelmina Lagerholm in ��rebro (1862), among others, became the first professional photographers of their respective cities: during the 1860s, they were at least 15 confirmed female photographers in Sweden, three of whom, Rosalie Sj��man, Caroline von Knorring and Bertha Valerius belonging to the elite of their profession. In 1888, the first woman, Anna Hwass, became a member of the board of the Photographic Society.

In mathematics, a Hilbert���Schmidt operator, named for David Hilbert and Erhard Schmidt, is a bounded operator A on a Hilbert space H with finite Hilbert���Schmidt norm ��� A ��� H S 2 = T r ( A ��� A ) := ��� i ��� I ��� A e i ��� 2 {\displaystyle \|A\|_{HS}^{2}={\rm {Tr}}(A^{{}^{*}}A):=\sum _{i\in I}\|Ae_{i}\|^{2}} where ��� ��� {\displaystyle \|\ \|} is the norm of H, { e i : i ��� I } {\displaystyle \{e_{i}:i\in I\}} an orthonormal basis of H, and Tr is the trace of a nonnegative self-adjoint operator.

An African Aristocracy: Rank among the Swazi

Hilda Marjorie James (27 April 1904 ��� 27 July 1982) was a British competitive swimmer who competed at the 1920 Summer Olympics. James won a silver medal in the women's 4��100-metre freestyle relay and swam in semifinals of the 300-metre freestyle event.She married William McAllister in 1930 and they had one child, Donald Hugh McAllister.

In mathematics, the Hilbert���Smith conjecture is concerned with the transformation groups of manifolds; and in particular with the limitations on topological groups G that can act effectively (faithfully) on a (topological) manifold M. Restricting to G which are locally compact and have a continuous, faithful group action on M, it states that G must be a Lie group.Because of known structural results on G, it is enough to deal with the case where G is the additive group Zp of p-adic integers, for some prime number p. An equivalent form of the conjecture is that Zp has no faithful group action on a topological manifold.The naming of the conjecture is for David Hilbert, and the American topologist Paul A. Smith. It is considered by some to be a better formulation of Hilbert's fifth problem, than the characterisation in the category of topological groups of the Lie groups often cited as a solution.In 2013, John Pardon proved the three-dimensional case of the Hilbert���Smith conjecture.

In mathematics, and in particular in the field of algebra, a Hilbert���Poincar�� series (also known under the name Hilbert series), named after David Hilbert and Henri Poincar��, is an adaptation of the notion of dimension to the context of graded algebraic structures (where the dimension of the entire structure is often infinite).

Hilda Fay is an Irish actor. She was nominated for an IFTA for best supporting actress for her role in whistlblower in 2009.She graduated from Trinity College, Dublin's Samuel Beckett Centre. She has appeared on stage in the Gate Theatre's "Threpenny Opera" Abbey Theatre's productions Little Gem (G��na Nua), which won the Carol Tambor award "the best of Edinburagh; she also shared the best actress award in the dublin fringe. She appeared in The Playboy of the Western World and "The Risen People" by james plunket. "Perve" Stacy Gregg, The Plough and the stars by Sean O Casey directed by Sean Holmes which toured north America. She also toured the nation with Tivoli Theatre's The Vagina Monologues sold out theatres for roddy doyles The Woman Who Walked into Doors at the Olympia, Lady Macbeth in Macbeth at the Mill Theatre. Wayne Jordan's "Oedipus" at the Abbey, and "Tina's idea of fun" by Sean P Summers at the Peacock.She has also narrated New york times best selling author Tana French's " The Trespasser" ShShe was nominated in the category Best Actress in a Supporting Role in Television at the 6th Irish Film and Television Awards for her role in Whistleblower. She has also appeared in Finbar's Class, Ordinary Decent Criminal, Saltwater, Though the Sky Falls, Proof, Prosperity, On the Street Where You Live and The Clinic.She married her fianc�� Alan Vale in 2007.

In mathematics, the Hilbert���Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of Q, which by the Kronecker���Weber theorem are isomorphic to subfields of cyclotomic fields.Hilbert���Speiser Theorem. A finite abelian extension K/Q has a normal integral basis if and only if it is tamely ramified over Q.This is the condition that it should be a subfield of Q(��n) where n is a squarefree odd number. This result was introduced by Hilbert (1897,���Satz 132, 1998,���theorem 132) in his Zahlbericht and by Speiser (1916,���corollary to proposition 8.1).In cases where the theorem states that a normal integral basis does exist, such a basis may be constructed by means of Gaussian periods. For example if we take n a prime number p > 2, Q(��p) has a normal integral basis consisting of all the p-th roots of unity other than 1. For a field K contained in it, the field trace can be used to construct such a basis in K also (see the article on Gaussian periods). Then in the case of n squarefree and odd, Q(��n) is a compositum of subfields of this type for the primes p dividing n (this follows from a simple argument on ramification). This decomposition can be used to treat any of its subfields.Cornelius Greither, Daniel R. Replogle, and Karl Rubin et al. (1999) proved a converse to the Hilbert���Speiser theorem:Each finite tamely ramified abelian extension K of a fixed number field J has a relative normal integral basis if and only if J =Q.

In mathematics, a Hilbert���Schmidt integral operator is a type of integral transform.

In mathematics, and in particular in the field of algebra, a Hilbert���Poincar�� series (also known under the name Hilbert series), named after David Hilbert and Henri Poincar��, is an adaptation of the notion of dimension to the context of graded algebraic structures (where the dimension of the entire structure is often infinite). It is a formal power series in one indeterminate, say t, where the coefficient of tn gives the dimension (or rank) of the sub-structure of elements homogeneous of degree n. It is closely related to the Hilbert polynomial in cases when the latter exists; however, the Hilbert���Poincar�� series describes the rank in every degree, while the Hilbert polynomial describes it only in all but finitely many degrees, and therefore provides less information. In particular the Hilbert���Poincar�� series cannot be deduced from the Hilbert polynomial even if the latter exists. In good cases, the Hilbert���Poincar�� series can be expressed as a rational function of its argument t.