|
Toeplitz Systems
Toeplitz or Töplitz may refer to: Places * Töplitz, the German name of Toplița, a city in Romania * Toplița, Hunedoara, a commune in Romania * Teplice (archaic German: ''Töplitz''), Czech Republic People * Jerzy Toeplitz (1909–1995), co-founder of the Polish Film School * Kasper T. Toeplitz (born 1960), Polish-French composer * Otto Toeplitz (1881–1940), German Jewish mathematician See also * Dolenjske Toplice, a settlement in southeastern Slovenia * Toeplitz matrix, a structured matrix with equal values along diagonals * Toeplitz operator, the compression of a multiplication operator on the circle to the Hardy space * Toeplitz algebra, the C*-algebra generated by the unilateral shift on the Hilbert space * Toeplitz Hash Algorithm, used in many network interface controllers * Hellinger–Toeplitz theorem, an everywhere defined symmetric operator on a Hilbert space is bounded * Silverman–Toeplitz theorem In mathematics, the Silverman–Toeplitz theorem, first pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toplița, Hunedoara
Toplița ( hu, Királybányatoplica) is a commune in Hunedoara County, Transylvania, Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S .... It is composed of eight villages: Curpenii Silvașului, Dăbâca (''Doboka''), Dealu Mic (''Párosza''), Goleș (''Golles''), Hășdău (''Hosdó''), Mosoru (''Moszor''), Toplița and Vălari (''Valár''). References Communes in Hunedoara County Localities in Transylvania {{Hunedoara-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Teplice
Teplice () (until 1948 Teplice-Šanov; german: Teplitz-Schönau or ''Teplitz'') is a city in the Ústí nad Labem Region of the Czech Republic. It has about 49,000 inhabitants. It is the second largest Czech spa town, after Karlovy Vary. The historic city centre is well preserved and is protected by law as an urban monument zone. Administrative parts The municipal area comprises the administrative parts of Teplice proper, Hudcov, Nová Ves, Prosetice, Řetenice, Sobědruhy and Trnovany. Etymology The name ''Teplice'' is an Old Czech word, meaning "hot spring". Geography Teplice is located about west of Ústí nad Labem and northwest of Prague. The northern part of the municipal territory lies in the Most Basin, the southern part lies in the Central Bohemian Uplands. The highest point is the hill Doubravská hora with an elevation of . There are several small fish ponds in the territory. History According to the 1541 ''Annales Bohemorum'' by chronicler Wenceslaus Hajek, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jerzy Toeplitz
Jerzy Toeplitz AO (24 November 190924 July 1995) was a Polish film educator and theorist. He was the co-founder of the Polish Film School, and later took up an appointment in Australia for the Australian Film, Television and Radio School. Between 1948 and 1972 he was Vice-President of the International Film and Television Council (USA). In 1959, he was a member of the jury at the 1st Moscow International Film Festival. Two years later, he was a member of the jury at the 2nd Moscow International Film Festival. He was an author and published a number of books which have been translated into many languages. Toeplitz also, for almost 30 years (1948–1971), was the president of the International Federation of Films Archives (FIAF), where he accomplished a very important role, overall in the Cold War conjuncture, especially into a very big crisis of the FIAF's history (perhaps the worst), when Henri Langlois (one of the Cinemathèquè Française's founders) left the FIAF. Toeplitz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kasper T
{{disambig ...
Kasper may refer to: * Kasper (surname), a list of people with the surname * Kasper (given name), a list of people with the given name * Käsper (surname), an Estonian surname * Kasper (singer), Korean rapper * Kasperle or Kasper, a traditional puppet character from Austria and Germany * Michael Kasprowicz (born 1972), Australian cricketer nicknamed "Kasper" * a division of Jones Apparel Group See also * Casper (other) * Kaspar * Kašpar Kašpar is a Czech surname. It may refer to: * Adolf Kašpar (1877-1934), Czech painter and illustrator * Jan Kašpar (1883-1927), Czech aviator, designer and engineer * Jonáš Kašpar, Czech slalom canoeist who has competed since the late 2000s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Otto Toeplitz
Otto Toeplitz (1 August 1881 – 15 February 1940) was a German mathematician working in functional analysis., reprinted in Life and work Toeplitz was born to a Jewish family of mathematicians. Both his father and grandfather were ''Gymnasium'' mathematics teachers and published papers in mathematics. Toeplitz grew up in Breslau and graduated from the ''Gymnasium'' there. He then studied mathematics at the University of Breslau and was awarded a doctorate in algebraic geometry in 1905. In 1906 Toeplitz arrived at Göttingen University, which was then the world's leading mathematical center, and he remained there for seven years. The mathematics faculty included David Hilbert, Felix Klein, and Hermann Minkowski. Toeplitz joined a group of young people working with Hilbert: Max Born, Richard Courant and Ernst Hellinger, with whom he collaborated for many years afterward. At that time Toeplitz began to rework the theory of linear functionals and quadratic forms on ''n''-dim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dolenjske Toplice
Dolenjske Toplice (; german: Töplitz''Leksikon občin kraljestev in dežel zastopanih v državnem zboru,'' vol. 6: ''Kranjsko''. 1906. Vienna: C. Kr. Dvorna in Državna Tiskarna, p. 164.) is a settlement near Novo Mesto in southeastern Slovenia and is the seat of the Municipality of Dolenjske Toplice. The area is part of the traditional region of Lower Carniola. The municipality is now included in the Southeast Slovenia Statistical Region. The town lies on the Sušica River, which joins the Krka (Sava), Krka 2 km north of town. It is a spa town known for its thermal baths established in 1658 by the Counts of Principality of Auersperg, Auersperg. Name The name of the settlement was changed from ''Toplice'' to ''Dolenjske Toplice'' in 1953. The historical German name was ''Töplitz''. Church The parish church in the settlement is dedicated to Saint Anne and belongs to the Roman Catholic Diocese of Novo Mesto. It is a Gothic architecture, Gothic building that was restyled in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toplița
Toplița (; hu, Maroshévíz, ) is a municipality in Harghita County, Transylvania, Romania. The settlement has had multiple name changes: ''Taplócza'', ''Toplicza'', ''Gyergyó-Toplicza'', from February 3, 1861 ''Oláh-Toplicza'', or "Romanian Toplița", then from January 1, 1907 ''Maroshévíz'', until 1918, when it received the Romanian name ''Toplița Română''. Both the Romanian and the Hungarian name mean "hot water spring"; the first is a Romanian word of Slavic origin. The city administers eight villages: Călimănel (''Kelemenpatak''), Luncani (''Lunkány''), Măgheruș (''Magyaros''), Moglănești (''Moglán''), Secu (''Székpatak''), Vâgani (''Vugány''), Vale (''Válya'') and Zencani (''Zsákhegy''). Demographics According to the last census from 2011, there were 13,282 people living in the city. Of this population, 68.49% are ethnic Romanians, while 22.11% are ethnic Hungarians (primarily Székelys) and 3.64% ethnic Romani. Among the villages which are par ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toeplitz Matrix
In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant. For instance, the following matrix is a Toeplitz matrix: :\qquad\begin a & b & c & d & e \\ f & a & b & c & d \\ g & f & a & b & c \\ h & g & f & a & b \\ i & h & g & f & a \end. Any ''n'' × ''n'' matrix ''A'' of the form :A = \begin a_0 & a_ & a_ & \cdots & \cdots & a_ \\ a_1 & a_0 & a_ & \ddots & & \vdots \\ a_2 & a_1 & \ddots & \ddots & \ddots & \vdots \\ \vdots & \ddots & \ddots & \ddots & a_ & a_ \\ \vdots & & \ddots & a_1 & a_0 & a_ \\ a_ & \cdots & \cdots & a_2 & a_1 & a_0 \end is a Toeplitz matrix. If the ''i'', ''j'' element of ''A'' is denoted ''A''''i'', ''j'' then we have :A_ = A_ = a_. A Toeplitz matrix is not necessarily square. Solving a Toeplitz system A matrix equation of the form :Ax = b is called a Toeplitz system ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toeplitz Operator
In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space. Details Let ''S''1 be the circle, with the standard Lebesgue measure, and ''L''2(''S''1) be the Hilbert space of square-integrable functions. A bounded measurable function ''g'' on ''S''1 defines a multiplication operator ''Mg'' on ''L''2(''S''1). Let ''P'' be the projection from ''L''2(''S''1) onto the Hardy space ''H''2. The ''Toeplitz operator with symbol g'' is defined by :T_g = P M_g \vert_, where " , " means restriction. A bounded operator on ''H''2 is Toeplitz if and only if its matrix representation, in the basis , has constant diagonals. Theorems * Theorem: If g is continuous, then T_g - \lambda is Fredholm if and only if \lambda is not in the set g(S^1). If it is Fredholm, its index is minus the winding number of the curve traced out by g with respect to the origin. For a proof, see . He attributes the theorem to Mark Krein, Harold Widom, and A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toeplitz Algebra
In operator algebras, the Toeplitz algebra is the C*-algebra generated by the unilateral shift on the Hilbert space ''l''2(N). Taking ''l''2(N) to be the Hardy space ''H''2, the Toeplitz algebra consists of elements of the form :T_f + K\; where ''Tf'' is a Toeplitz operator with continuous symbol and ''K'' is a compact operator. Toeplitz operators with continuous symbols commute modulo the compact operators. So the Toeplitz algebra can be viewed as the C*-algebra extension of continuous functions on the circle by the compact operators. This extension is called the Toeplitz extension. By Atkinson's theorem, an element of the Toeplitz algebra ''Tf'' + ''K'' is a Fredholm operator if and only if the symbol ''f'' of ''Tf'' is invertible. In that case, the Fredholm index of ''Tf'' + ''K'' is precisely the winding number of ''f'', the equivalence class of ''f'' in the fundamental group of the circle. This is a special case of the Atiyah-Singer index theorem. Wold decomposition c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toeplitz Hash Algorithm
The Toeplitz Hash Algorithm describes hash functions that compute hash values through matrix multiplication of the key with a suitable Toeplitz matrix. The Toeplitz Hash Algorithm is used in many network interface controllers for receive side scaling. As an example, with the Toeplitz matrix T the key k results in a hash h as follows: :h = T\cdot k = \begin1 & 1 & 0 & 1 \\0 & 1 & 1 & 0 \\1 & 0 & 1 & 1 \\\end \cdot \begin1\\1\\0\\0\\\end = \begin0 \\1 \\1 \\\end where the entries are bits and all operations are modulo 2. In implementations the highly redundant matrix is not necessarily explicitly stored. References Hash functions {{compu-prog-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
_Kašna_se_sochou_Madony_(Teplice)_3.jpg "Click for more on -> Teplice")
