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Jacobi Coordinates — Illustration For Four Bodies
Jacobi may refer to: People * Jacobi (surname), a list of people with the surname * Jacobi Boykins (born 1995), American basketball player * Jacobi Francis (born 1998), American football player * Jacobi Mitchell (born 1986), Bahamian sprinter * Jacobi Robinson (born 1984), Bermudian cricketer In mathematics Concepts named after the German mathematician Carl Gustav Jacob Jacobi: * Jacobi sum, a type of character sum * Jacobi method, a method for determining the solutions of a diagonally dominant system of linear equations * Jacobi eigenvalue algorithm, a method for calculating the eigenvalues and eigenvectors of a real symmetric matrix * Jacobi elliptic functions, a set of doubly-periodic functions * Jacobian matrix and determinant of a smooth map between Euclidean spaces or smooth manifolds * Jacobi operator (Jacobi matrix), a tridiagonal symmetric matrix appearing in the theory of orthogonal polynomials * Jacobi polynomials, a class of orthogonal polynomials * Jacobi symbo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi (surname)
Jacobi ( or ) is a surname of German or Ashkenazi Jewish origin. People with the surname Jacobi * Abraham Jacobi (1830–1919), Prussian-American revolutionary and pediatrician husband of Mary Putnam Jacobi * Bruce Jacobi (1935–1987), American NASCAR driver * Carl Gustav Jacob Jacobi (1804–1851), Prussian mathematician and teacher * Carl Richard Jacobi (1908–1997), American author * Carl Wigand Maximilian Jacobi (1775–1858), German psychiatrist * C. Hugo Jacobi (1846-1924), American businessman and politician * Claus Jacobi (1927–2013), German editor * Derek Jacobi (born 1938), English actor * Ernst Jacobi (1933–2022), German actor * Fabian Jacobi (born 1973), German politician * Frederick Jacobi (1891–1952), American composer * Friedrich Heinrich Jacobi (1743–1819), German philosopher * Georges Jacobi (1840-1906), German composer and conductor based in London * Harry Jacobi (1925–2019), refugee from Nazi Germany who became a British rabbi * Heinrich Otto Jacobi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi Identity
In mathematics, the Jacobi identity is a property of a binary operation that describes how the order of evaluation, the placement of parentheses in a multiple product, affects the result of the operation. By contrast, for operations with the associative property, any order of evaluation gives the same result (parentheses in a multiple product are not needed). The identity is named after the German mathematician Carl Gustav Jacob Jacobi. He derived the Jacobi identity for Poisson brackets in his 1862 paper on differential equations. C. G. J. Jacobi (1862), §26, Theorem V. T. Hawkins (1991) The cross product a\times b and the Lie bracket operation ,b/math> both satisfy the Jacobi identity. In analytical mechanics, the Jacobi identity is satisfied by the Poisson brackets. In quantum mechanics, it is satisfied by operator commutators on a Hilbert space and equivalently in the phase space formulation of quantum mechanics by the Moyal bracket. Definition Let + and \times be two b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobian (other)
In mathematics, a Jacobian, named for Carl Gustav Jacob Jacobi, may refer to: *Jacobian matrix and determinant (and in particular, the robot Jacobian) * Jacobian elliptic functions *Jacobian variety In mathematics, the Jacobian variety ''J''(''C'') of a non-singular algebraic curve ''C'' of genus ''g'' is the moduli space of degree 0 line bundles. It is the connected component of the identity in the Picard group of ''C'', hence an abelia ... * Jacobian ideal * Intermediate Jacobian {{set index Mathematical terminology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobs (other)
Jacobs may refer to: Businesses and organisations * Jacob's, a brand name for several lines of biscuits and crackers in Ireland and the UK * Jacobs (coffee), a German brand of coffee * Jacobs Solutions, an American international technical professional services firm * Jacobs Aircraft Engine Company, former American aircraft engine company * Jacobs Entertainment, an American gaming, hospitality, and entertainment company * Jacobs School of Medicine and Biomedical Sciences, at the University at Buffalo, New York, U.S. * Jacobs School of Music, at, Indiana University, U.S. * Jacobs University Bremen, in Germany People * Jacobs (surname), including a list of people with this name Places * Jacobs, Louisville, Kentucky, U.S. * Jacobs, Pennsylvania, U.S., now Port Providence * Jacobs, Wisconsin, U.S. * Jacobs Island, Antarctica Other uses * Jacobs F.C., a former Irish football club *, a tug, formerly ''Empire Gnome'' See also * Jacob (other) Jacob is an important figure i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jakob (other)
Jakob may refer to: People * Jakob (given name), including a list of people with the name * Jakob (surname), including a list of people with the name Other * Jakob (band), a New Zealand band, and the title of their 1999 EP * Max Jakob Memorial Award, annual award to scholars in the field of heat transfer * Ohel Jakob synagogue (Munich) Fictional characters * Jakob, a character from the video game ''Fire Emblem Fates'' See also * Jacob (other) Jacob is an important figure in Abrahamic religions. Jacob may also refer to: People * Jacob (name), a male given name and surname, including a list of variants of the name ** Jacob (Book of Mormon prophet) ** Jacob (surname), including a list ... * St. Jacob (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacob
Jacob, later known as Israel, is a Hebrew patriarch of the Abrahamic religions. He first appears in the Torah, where he is described in the Book of Genesis as a son of Isaac and Rebecca. Accordingly, alongside his older fraternal twin brother Esau, Jacob's paternal grandparents are Abraham and Sarah and his maternal grandfather is Bethuel, whose wife is not mentioned. He is said to have bought Esau's birthright and, with his mother's help, deceived his aging father to bless him instead of Esau. Then, following a severe drought in his homeland Canaan, Jacob and his descendants migrated to neighbouring Egypt through the efforts of his son Joseph, who had become a confidant of the pharaoh. After dying in Egypt at the age of 147, he is supposed to have been buried in the Cave of Machpelah in Hebron. Per the Hebrew Bible, Jacob's progeny were beget by four women: his wives (and maternal cousins) Leah and Rachel; and his concubines Bilhah and Zilpah. His sons were, in orde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacoby (other)
Jacoby may refer to: *Jacoby (given name) *Jacoby (surname) *Jacoby Glacier, a glacier in Antarctica *Jacoby transfer, a convention used in the card game contract bridge *Jacoby (typeface), a font from Monotype that was used for various Cartoon Network promos and bumpers during the Powerhouse era, as well as the Playhouse Disney logo. *''Fragmente der griechischen Historiker'', a collection of Ancient Greek histories by Felix Jacoby Felix Jacoby (; 19 March 1876 – 10 November 1959) was a German classicist and philologist. He is best known among classicists for his highly important work '' Fragmente der griechischen Historiker'', a collection of text fragments of ancient ..., sometimes cited as "Jacoby" See also * Jacobi (other) {{Disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi (crater)
Jacobi is a lunar impact crater that is located in the southern highlands on the near side of the Moon. It lies southeast of the crater Lilius, with Cuvier to the north-northwest and Baco to the northeast. The crater is 68 kilometers in diameter and 3.3 kilometers in depth. It is from the Pre-Nectarian period, 4.55 to 3.92 billion years ago.''Autostar Suite Astronomer Edition''. CD-ROM. Meade, April 2006. This crater has a worn rim that is overlain by several craters along the southern face, including Jacobi J, and a pair on the northern rim. The result is an outer rim that appears flattened along the northern and southern faces. The larger of the craters on the north rim, Jacobi O, forms a member of a chain of craters that form a rough line across the interior floor from northeast to southwest. The central part of this chain in particular forms a merger of several tiny craters at the midpoint of the floor. The remainder of the floor is level, perhaps as a result of erosion ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi (grape)
Jacobi may refer to: People * Jacobi (surname), a list of people with the surname * Jacobi Boykins (born 1995), American basketball player * Jacobi Francis (born 1998), American football player * Jacobi Mitchell (born 1986), Bahamian sprinter * Jacobi Robinson (born 1984), Bermudian cricketer In mathematics Concepts named after the German mathematician Carl Gustav Jacob Jacobi: * Jacobi sum, a type of character sum * Jacobi method, a method for determining the solutions of a diagonally dominant system of linear equations * Jacobi eigenvalue algorithm, a method for calculating the eigenvalues and eigenvectors of a real symmetric matrix * Jacobi elliptic functions, a set of doubly-periodic functions * Jacobian matrix and determinant of a smooth map between Euclidean spaces or smooth manifolds * Jacobi operator (Jacobi matrix), a tridiagonal symmetric matrix appearing in the theory of orthogonal polynomials * Jacobi polynomials, a class of orthogonal polynomials * Jacobi symbol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi Medical Center
Jacobi Medical Center (NYC Health + Hospitals/Jacobi) is a municipal hospital operated by NYC Health + Hospitals in affiliation with the Albert Einstein College of Medicine. The facility is located in the Morris Park neighborhood of the Bronx, New York City. It is named in honor of German physician Abraham Jacobi, who is regarded as the ''father of American pediatrics''. Founded in 1955 as Bronx Municipal Hospital Center, the hospital opened concurrent with the opening of the Albert Einstein College of Medicine. This was the first time a medical school and municipal hospital entered into a formal affiliation agreement at the same time they were both built—and their relationship continues to this day. Jacobi is a primary clerkship site for 3rd- and 4th-year medical students from the Albert Einstein College of Medicine. Jacobi offers residency training programs in Internal Medicine, Pediatrics and Radiology. It also offers many joint residency programs with Montefiore Medical Cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi's Theorem (other)
Jacobi's theorem can refer to: *Maximum power theorem, in electrical engineering *The result that the determinant of skew-symmetric matrices with odd size vanishes, see skew-symmetric matrix *Jacobi's four-square theorem In number theory, Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer can be represented as the sum of four squares (of integers). History The theorem was proved in 1834 by Carl Gustav Jakob Jacob ..., in number theory * Jacobi's theorem (geometry), on concurrent lines associated with any triangle * Jacobi's theorem on the normal indicatrix, in differential geometry * Jacobi's theorem on conjugate points, in differential geometry {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theta Function
In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. Theta functions are parametrized by points in a tube domain inside a complex Lagrangian Grassmannian, namely the Siegel upper half space. The most common form of theta function is that occurring in the theory of elliptic functions. With respect to one of the complex variables (conventionally called ), a theta function has a property expressing its behavior with respect to the addition of a period of the associated elliptic functions, making it a quasiperiodic function. In the abstract theory this quasiperiodicity comes from the cohomology class of a line bundle on a complex torus, a condition of descent. One interpretation of theta functions when dealing with the heat equation is that "a theta function is a special function that describes the evolution of temperature on a segment do ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
