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SCHUR FUNCTION

  • Schur function
  • Topics referred to by the same term

    A Schur function may be: A Schur polynomial A holomorphic function in the Schur class This disambiguation page lists mathematics articles associated with

    Schur function

    Schur_function

  • Schur polynomial
  • Type of symmetric polynomials in mathematics

    In mathematics, Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the

    Schur polynomial

    Schur_polynomial

  • Schur-convex function
  • Function in mathematical analysis

    In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function f : R d → R {\displaystyle

    Schur-convex function

    Schur-convex_function

  • Schur class
  • In complex analysis, the Schur class is the set of holomorphic functions f ( z ) {\displaystyle f(z)} defined on the open unit disk D = { z ∈ C : | z

    Schur class

    Schur_class

  • Littlewood–Richardson rule
  • Mathematical rule

    that arise when decomposing a product of two Schur functions as a linear combination of other Schur functions. These coefficients are natural numbers, which

    Littlewood–Richardson rule

    Littlewood–Richardson_rule

  • Giambelli's formula
  • Mathematical formula

    function identities. For instance, hook partition Schur functions can be expressed bilinearly in terms of elementary and complete symmetric functions

    Giambelli's formula

    Giambelli's_formula

  • Issai Schur
  • German mathematician (1875–1941)

    Schur: Schur algebra Schur complement Schur index Schur indicator Schur multiplier Schur orthogonality relations Schur polynomial Schur product Schur

    Issai Schur

    Issai Schur

    Issai_Schur

  • Hook length formula
  • Mathematical formula for the number of Young tableaux

    is the Schur function associated to λ {\displaystyle \lambda } and p τ ( w ) {\displaystyle p_{\tau (w)}} is the power-sum symmetric function of the partition

    Hook length formula

    Hook_length_formula

  • Chromatic symmetric function
  • Symmetric function invariant of graphs

    Gessel's basis of fundamental quasisymmetric functions and the expansion in the basis of Schur functions. Fixing an order for the set of vertices, the

    Chromatic symmetric function

    Chromatic_symmetric_function

  • Ring of symmetric functions
  • This symmetric function corresponds to the complete homogeneous symmetric polynomial hk(X1,...,Xn) for any n ≥ k. The Schur functions sλ for any partition

    Ring of symmetric functions

    Ring_of_symmetric_functions

  • Schur complement
  • Tool in linear algebra and matrix analysis

    The Schur complement is a key tool in the fields of linear algebra, the theory of matrices, numerical analysis, and statistics. It is defined for a block

    Schur complement

    Schur_complement

  • List of things named after Issai Schur
  • complement method Schur complement Schur-convex function Schur decomposition Schur functor Schur index Schur's inequality Schur's lemma (from Riemannian

    List of things named after Issai Schur

    List_of_things_named_after_Issai_Schur

  • Tau function (integrable systems)
  • Generating function in integrable systems

    s_{\lambda }(\mathbf {t} )} is the Schur function corresponding to the partition λ {\displaystyle \lambda } , viewed as a function of the normalized power sum

    Tau function (integrable systems)

    Tau_function_(integrable_systems)

  • Pieri's formula
  • Mathematical formula

    Schubert calculus, or the product of a Schur polynomial by a complete symmetric function. In terms of Schur functions sλ indexed by partitions λ, it states

    Pieri's formula

    Pieri's_formula

  • Hadamard product (matrices)
  • Elementwise product of two matrices

    Hadamard product (also known as the element-wise product, entrywise product or Schur product) is a binary operation that takes in two matrices of the same dimensions

    Hadamard product (matrices)

    Hadamard product (matrices)

    Hadamard_product_(matrices)

  • Sum of squares function
  • Number-theoretical function

    Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions. Springer Science & Business Media. p. 9. ISBN 1402004915

    Sum of squares function

    Sum_of_squares_function

  • Schur algorithm
  • Topics referred to by the same term

    mathematics, the Schur algorithm may be: The Schur algorithm for expanding a function in the Schur class as a continued fraction The Lehmer–Schur algorithm for

    Schur algorithm

    Schur_algorithm

  • Jack function
  • Generalization of the Jack polynomial

    generalizes the Schur and zonal polynomials, and is in turn generalized by the Heckman–Opdam polynomials and Macdonald polynomials. The Jack function J κ ( α

    Jack function

    Jack_function

  • Schur's lemma (Riemannian geometry)
  • Whenever certain curvatures are pointwise constant then they must be globally constant

    \operatorname {R} _{p}} The Schur lemma states the following: Suppose that n {\displaystyle n} is not equal to two. If there is a function κ {\displaystyle \kappa

    Schur's lemma (Riemannian geometry)

    Schur's_lemma_(Riemannian_geometry)

  • Schur's lemma
  • Homomorphisms between simple modules over the same ring are isomorphisms or zero

    In mathematics, Schur's lemma is an elementary but useful statement in representation theory of groups and algebras. In the group case it says that if

    Schur's lemma

    Schur's_lemma

  • S-function
  • Topics referred to by the same term

    In mathematics, S-function may refer to: sigmoid function Schur polynomials A function in the Laplace transformed 's-domain' In computer science, It may

    S-function

    S-function

  • Hall–Littlewood polynomials
  • are symmetric functions depending on a parameter t and a partition λ. They are Schur functions when t is 0 and monomial symmetric functions when t is 1

    Hall–Littlewood polynomials

    Hall–Littlewood_polynomials

  • Plethystic substitution
  • involution on symmetric functions that sends a Schur function s λ {\displaystyle s_{\lambda }} to the conjugate Schur function s λ ∗ {\displaystyle s_{\lambda

    Plethystic substitution

    Plethystic_substitution

  • Kostka number
  • exactly the coefficients in the expansions of Schur functions in terms of monomial symmetric functions: s ∅ = m ∅ = 1 {\displaystyle s_{\varnothing }=m_{\varnothing

    Kostka number

    Kostka number

    Kostka_number

  • Stephanie van Willigenburg
  • Canadian mathematician

    quasisymmetric functions. Together with James Haglund, Kurt Luoto and Sarah Mason, she introduced the quasisymmetric Schur functions, which form a basis

    Stephanie van Willigenburg

    Stephanie_van_Willigenburg

  • Schur test
  • Inequality involving integral operators

    In mathematical analysis, the Schur test, named after German mathematician Issai Schur, is a bound on the L 2 → L 2 {\displaystyle L^{2}\to L^{2}} operator

    Schur test

    Schur_test

  • Plane partition
  • Array of nonnegative integers in combinatorics

    Combinatorial Theory. 43: 310. 1986. Eisenkölbl, Theresia (2008). "A Schur function identity related to the (−1)-enumeration of self complementary plane

    Plane partition

    Plane partition

    Plane_partition

  • Schur complement method
  • In numerical analysis, the Schur complement method, named after Issai Schur, is the basic and the earliest version of non-overlapping domain decomposition

    Schur complement method

    Schur_complement_method

  • Frobenius–Schur indicator
  • the discipline of representation theory, the Schur indicator, named after Issai Schur, or Frobenius–Schur indicator describes what invariant bilinear forms

    Frobenius–Schur indicator

    Frobenius–Schur_indicator

  • Bertrand's postulate
  • Result on density of prime numbers

    result was discovered independently in 1929 by Issai Schur, and is now often known as the Sylvester–Schur theorem. Bertrand's postulate follows from this result

    Bertrand's postulate

    Bertrand's postulate

    Bertrand's_postulate

  • Quasisymmetric function
  • } Other important bases for quasisymmetric functions include the basis of quasisymmetric Schur functions, the "type I" and "type II" quasisymmetric power

    Quasisymmetric function

    Quasisymmetric_function

  • Majorization
  • Preorder on vectors of real numbers

    of a Schur-convex function is the max function, max ( x ) = x 1 ↓ {\displaystyle \max(\mathbf {x} )=x_{1}^{\downarrow }} . Schur convex functions are necessarily

    Majorization

    Majorization

  • LLT polynomial
  • Mathematical term

    polynomial is one of a family of symmetric functions introduced as q-analogues of products of Schur functions. J. Haglund, M. Haiman, and N. Loehr showed

    LLT polynomial

    LLT_polynomial

  • Categorification
  • Connects set theory with category theory

    Specht module indexed by partition λ {\displaystyle \lambda } to the Schur function indexed by the same partition, S λ → φ s λ , {\displaystyle S^{\lambda

    Categorification

    Categorification

  • Representation theory of the symmetric group
  • Area of mathematics

    Mercedes (2009-07-27). "The stability of the Kronecker products of Schur functions". Journal of Algebra. 331: 11–27. arXiv:0907.4652. doi:10.1016/j.jalgebra

    Representation theory of the symmetric group

    Representation_theory_of_the_symmetric_group

  • Macdonald polynomials
  • Orthogonal symmetric polynomial family

    or the Schur functions in the case of root systems of type A. If q = 0 the Macdonald polynomials become the (rescaled) zonal spherical functions for a

    Macdonald polynomials

    Macdonald_polynomials

  • Young tableau
  • Combinatorial object in representation theory

    have been explored and lead to the definition of and identities for Schur functions. Many combinatorial algorithms on tableaux are known, including Schützenberger's

    Young tableau

    Young_tableau

  • Max Schur
  • American physician & psychoanalyst

    Max Schur (26 September 1897 – 12 October 1969) was a doctor and friend of Sigmund Freud. He assisted Freud in euthanasia. Ernest Jones considered that

    Max Schur

    Max_Schur

  • Lehmer–Schur algorithm
  • Root-finding algorithm

    In mathematics, the Lehmer–Schur algorithm (named after Derrick Henry Lehmer and Issai Schur) is a root-finding algorithm for complex polynomials, extending

    Lehmer–Schur algorithm

    Lehmer–Schur_algorithm

  • List of eponyms of special functions
  • Rogers–Ramanujan identity, Rogers–Szegő polynomials Schubert polynomial Issai Schur: Schur polynomial Atle Selberg: Selberg integral Sheffer polynomial Slater's

    List of eponyms of special functions

    List_of_eponyms_of_special_functions

  • Schubert calculus
  • Branch of algebraic geometry

    expressing arbitrary Schur functions s a {\displaystyle s_{\mathbf {a} }} as determinants in terms of the complete symmetric functions { h j := s ( j ) }

    Schubert calculus

    Schubert_calculus

  • Stanley symmetric function
  • is expanded in the basis of Schur functions, the coefficients are all non-negative integers. The Stanley symmetric functions have the property that they

    Stanley symmetric function

    Stanley_symmetric_function

  • Karamata's inequality
  • Algebra theorem about convex functions

    turn to the concept of Schur-convex functions. Let I be an interval of the real line and let f denote a real-valued, convex function defined on I. If x1

    Karamata's inequality

    Karamata's_inequality

  • Schur orthogonality relations
  • Generalization of Lie groups

    In mathematics, the Schur orthogonality relations, which were proven by Issai Schur through Schur's lemma, express a central fact about representations

    Schur orthogonality relations

    Schur_orthogonality_relations

  • Jordan–Schur theorem
  • Theorem on finite linear groups

    In mathematics, the Jordan–Schur theorem also known as Jordan's theorem on finite linear groups is a theorem in its original form due to Camille Jordan

    Jordan–Schur theorem

    Jordan–Schur_theorem

  • Jennifer Morse (mathematician)
  • Mathematician

    statistical physics, symmetric functions, Young tableaux, and k {\displaystyle k} -Schur functions, which are a generalization of Schur polynomials. Morse earned

    Jennifer Morse (mathematician)

    Jennifer Morse (mathematician)

    Jennifer_Morse_(mathematician)

  • Dudley E. Littlewood
  • British mathematician

    Richardson of Swansea. They introduced the immanant of a matrix, studied Schur functions and developed the Littlewood–Richardson rule for their multiplication

    Dudley E. Littlewood

    Dudley E. Littlewood

    Dudley_E._Littlewood

  • Image (mathematics)
  • Set of the values of a function

    In mathematics, the image of a function ⁠ f {\displaystyle f} ⁠ is the set of all ⁠ f ( x ) {\displaystyle f(x)} ⁠ such that ⁠ x {\displaystyle x} ⁠ belongs

    Image (mathematics)

    Image (mathematics)

    Image_(mathematics)

  • Immanant
  • Mathematical function generalizing the determinant and permanent

    Littlewood and Richardson studied the relation of the immanant to Schur functions in the representation theory of the symmetric group. The necessary

    Immanant

    Immanant

  • Hall algebra
  • via the Hall–Littlewood symmetric functions. Specializing q to 1, these symmetric functions become Schur functions, which are thus closely connected with

    Hall algebra

    Hall_algebra

  • Bender–Knuth involution
  • permutations of the weight. In turn this implies that the Schur function of a partition is a symmetric function. Bender–Knuth involutions were used by Stembridge

    Bender–Knuth involution

    Bender–Knuth_involution

  • Absolutely and completely monotonic functions and sequences
  • inequalities can be found based on the notion of Schur-convexity. Related to the above, Bernstein functions are defined as those that are non-negative and

    Absolutely and completely monotonic functions and sequences

    Absolutely_and_completely_monotonic_functions_and_sequences

  • Ira Gessel
  • American mathematician (born 1951)

    Willigenburg, An Introduction to Quasisymmetric Schur Functions Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux, Springer, New

    Ira Gessel

    Ira_Gessel

  • Harry Dym
  • Israeli mathematician (1938–2024)

    interpolation for matrix valued Schur functions, AMS 2006 with Damir Z. Arov: J {\displaystyle J} -contractive matrix valued functions and related topics, Cambridge

    Harry Dym

    Harry_Dym

  • Ian G. Macdonald
  • British mathematician (1928–2023)

    text to integrate much classical theory, such as Hall polynomials, Schur functions, the Littlewood–Richardson rule, with the abstract algebra approach

    Ian G. Macdonald

    Ian G. Macdonald

    Ian_G._Macdonald

  • Anne Schilling
  • American mathematician

    Schilling is the author of the research monograph k {\displaystyle k} -Schur Functions and Affine Schubert Calculus (Fields Institute Monographs 33, Springer

    Anne Schilling

    Anne Schilling

    Anne_Schilling

  • N! conjecture
  • Schur functions, the Hall–Littlewood symmetric functions, the Jack symmetric functions, the zonal symmetric functions, the zonal spherical functions,

    N! conjecture

    N!_conjecture

  • Robinson–Schensted–Knuth correspondence
  • Concept in mathematics

    }s_{\lambda }(x)s_{\lambda }(y)} where s λ {\displaystyle s_{\lambda }} are Schur functions. Fix partitions μ , ν ⊢ n {\displaystyle \mu ,\nu \vdash n} , then

    Robinson–Schensted–Knuth correspondence

    Robinson–Schensted–Knuth_correspondence

  • Group homomorphism
  • Mathematical function between groups that preserves multiplication structure

    groups, (G,∗) and (H, ·), a group homomorphism from (G,∗) to (H, ·) is a function h : G → H such that for all u and v in G it holds that h ( u ∗ v ) = h

    Group homomorphism

    Group homomorphism

    Group_homomorphism

  • Fourier transform
  • Mathematical transform that expresses a function of time as a function of frequency

    of the space of class (meaning conjugation-invariant) functions that map from G to C by Schur's lemma. The group T is no longer finite but still compact

    Fourier transform

    Fourier transform

    Fourier_transform

  • Rogers–Ramanujan identities
  • Mathematical identities related to integer partitions

    they then published a joint new proof (Rogers & Ramanujan 1919). Issai Schur (1917) independently rediscovered and proved the identities. The Rogers–Ramanujan

    Rogers–Ramanujan identities

    Rogers–Ramanujan_identities

  • Complete homogeneous symmetric polynomial
  • Expression in commutative algebra

    Elementary symmetric polynomial Schur polynomial Newton's identities MacMahon Master theorem Ring of symmetric functions Representation theory Gomezllata

    Complete homogeneous symmetric polynomial

    Complete_homogeneous_symmetric_polynomial

  • Elliptic curve
  • Algebraic curve in mathematics

    ingredient is a function of a complex variable, L, the Hasse–Weil zeta function of E over Q. This function is a variant of the Riemann zeta function and Dirichlet

    Elliptic curve

    Elliptic curve

    Elliptic_curve

  • Matrix coefficient
  • Functions on special groups related to their matrix representations

    theory of these groups, as developed by Burnside, Frobenius and Schur. They satisfy Schur orthogonality relations. The character of a representation ρ is

    Matrix coefficient

    Matrix_coefficient

  • Stephen Milne (mathematician)
  • American mathematician

    exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Kluwer Academic Publishers. 2002. ISBN 9781402004919

    Stephen Milne (mathematician)

    Stephen_Milne_(mathematician)

  • Bisection method
  • Algorithm for finding a zero of a function

    at most ε {\displaystyle \varepsilon } . Binary search algorithm Lehmer–Schur algorithm, generalization of the bisection method in the complex plane Nested

    Bisection method

    Bisection method

    Bisection_method

  • Carl Gustav Jacob Jacobi
  • German mathematician (1804–1851)

    to introduce and study the symmetric polynomials that are now known as Schur polynomials, giving the so-called bialternant formula for these, which is

    Carl Gustav Jacob Jacobi

    Carl Gustav Jacob Jacobi

    Carl_Gustav_Jacob_Jacobi

  • Permutation polynomial
  • Polynomial that permutes a ring

    102. Fried, M. (1970). "On a conjecture of Schur". Michigan Math. J.: 41–55. Turnwald, G. (1995). "On Schur's conjecture". J. Austral. Math. Soc. 58 (3):

    Permutation polynomial

    Permutation_polynomial

  • List of Silent Witness episodes
  • This series saw the introduction of Professor Gabriel Folukoya and Velvy Schur, portrayed by Aki Omoshaybi and Alastair Michael, respectively. The series

    List of Silent Witness episodes

    List_of_Silent_Witness_episodes

  • Camille Jordan
  • French mathematician (1838–1922)

    Jordan–Chevalley decomposition Jordan–Hölder theorem Jordan–Pólya numbers Jordan–Schur theorem Jordan–Schönflies theorem Bounded variation Homotopy group k-edge-connected

    Camille Jordan

    Camille Jordan

    Camille_Jordan

  • Archibald Read Richardson
  • British mathematician

    representation theory. They introduced the immanant of a matrix, studied Schur functions and developed the Littlewood–Richardson rule for their multiplication

    Archibald Read Richardson

    Archibald_Read_Richardson

  • Sigmund Freud
  • Austrian psychiatrist and founder of psychoanalysis (1856–1939)

    and fellow refugee, Max Schur, reminding him that they had previously discussed the terminal stages of his illness: "Schur, you remember our 'contract'

    Sigmund Freud

    Sigmund Freud

    Sigmund_Freud

  • Spectral theorem
  • Result about when a matrix can be diagonalized

    decomposed is Hermitian, the spectral decomposition is a special case of the Schur decomposition (see the proof in case of normal matrices below). The spectral

    Spectral theorem

    Spectral_theorem

  • Characteristic polynomial
  • Polynomial whose roots are the eigenvalues of a matrix

    form has stronger properties, but these are sufficient; alternatively the Schur decomposition can be used, which is less popular but somewhat easier to

    Characteristic polynomial

    Characteristic_polynomial

  • Symmetric group
  • Type of group in abstract algebra

    theory of the symmetric group plays a fundamental role through the ideas of Schur functors. In the theory of Coxeter groups, the symmetric group is the Coxeter

    Symmetric group

    Symmetric group

    Symmetric_group

  • Positive-definite function on a group
  • mathematics, and specifically in operator theory, a positive-definite function on a group relates the notions of positivity, in the context of Hilbert

    Positive-definite function on a group

    Positive-definite_function_on_a_group

  • Outline of linear algebra
  • value decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia additivity formula Matrix equivalence

    Outline of linear algebra

    Outline_of_linear_algebra

  • Wigner D-matrix
  • Irreducible representation of the rotation group SO

    ^{2}}{2j+1}}\delta _{m'm}\delta _{k'k}\delta _{j'j}.} This is a special case of the Schur orthogonality relations. Crucially, by the Peter–Weyl theorem, they further

    Wigner D-matrix

    Wigner_D-matrix

  • Elementary symmetric polynomial
  • Mathematical function

    symmetric polynomial Schur polynomial Newton's identities Newton's inequalities Maclaurin's inequality MacMahon Master theorem Symmetric function Representation

    Elementary symmetric polynomial

    Elementary_symmetric_polynomial

  • Multivariate normal distribution
  • Generalization of the one-dimensional normal distribution to higher dimensions

    The matrix Σ ¯ {\displaystyle {\overline {\boldsymbol {\Sigma }}}} is the Schur complement of Σ22 in Σ. That is, the equation above is equivalent to inverting

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • Capelli's identity
  • Mathematical identity concerning matrices

    1007/s002080050263, S2CID 14891138 Molev, A. (1996), Factorial supersymmetric Schur functions and super Capelli identities, arXiv:q-alg/9606008, Bibcode:1996q.alg

    Capelli's identity

    Capelli's_identity

  • Square root of a matrix
  • Mathematical operation

    square matrix A {\displaystyle A} , regardless of diagonalizability, has a Schur decomposition given by A = Q U Q ∗ {\displaystyle A=QUQ^{*}} where U {\displaystyle

    Square root of a matrix

    Square_root_of_a_matrix

  • Masters of Atlantis
  • 1985 novel by Charles Portis

    recommended among a circle of major comedians and entertainers including Michael Schur and Conan O’Brien. David Cross has a tattoo of the book’s cover on his arm

    Masters of Atlantis

    Masters_of_Atlantis

  • Homogeneous polynomial
  • Polynomial whose nonzero terms all have the same degree

    polynomial Multilinear form Multilinear map Polarization of an algebraic form Schur polynomial Symbol of a differential operator However, as some authors do

    Homogeneous polynomial

    Homogeneous_polynomial

  • Banach space
  • Normed vector space that is complete

    convergent subsequences by Eberlein–Šmulian, that are norm convergent by the Schur property of ℓ 1 . {\displaystyle \ell ^{1}.} A way to classify Banach spaces

    Banach space

    Banach_space

  • Coxeter group
  • Group that admits a formal description in terms of reflections

    restated in terms of the first homology group of W {\displaystyle W} . The Schur multiplier M ( W ) {\displaystyle M(W)} , equal to the second homology group

    Coxeter group

    Coxeter_group

  • Weingarten function
  • Rational mathematical function indexed by integer partitions

    and s is the Schur polynomial of λ, so that sλ,d(1) is the dimension of the representation of Ud corresponding to λ. The Weingarten functions are rational

    Weingarten function

    Weingarten_function

  • Glossary of representation theory
  • Schur polynomial is a symmetric function, of a type occurring in the Weyl character formula applied to unitary groups. 7.  Schur index. 8.  A Schur complex

    Glossary of representation theory

    Glossary_of_representation_theory

  • Plethysm
  • Lλ(V) is a symmetric function in dim(V) variables, known as the Schur polynomial sλ corresponding to the Young diagram λ. Schur polynomials form a basis

    Plethysm

    Plethysm

  • Schubert polynomial
  • In mathematics, Schubert polynomials are generalizations of Schur polynomials that represent cohomology classes of Schubert cycles in flag varieties.

    Schubert polynomial

    Schubert_polynomial

  • Wolfgang Hahn
  • German mathematician

    q-addition (or Jackson-Hahn-Cigler q-addition), and the Hahn–Exton q-Bessel function. He was an honorary member of the Austrian Mathematical Society. Kappel

    Wolfgang Hahn

    Wolfgang Hahn

    Wolfgang_Hahn

  • Ludwig Bieberbach
  • German mathematician (1886–1982)

    theorem [ru] on space groups. In 1928 Bieberbach wrote a book with Issai Schur titled Über die Minkowskische Reduktiontheorie der positiven quadratischen

    Ludwig Bieberbach

    Ludwig Bieberbach

    Ludwig_Bieberbach

  • Symmetric polynomial
  • Polynomial invariant under variable permutations

    and Schur polynomials play important roles alongside the elementary ones. The resulting structures, and in particular the ring of symmetric functions, are

    Symmetric polynomial

    Symmetric_polynomial

  • Irene Sabadini
  • Italian mathematician

    Entire slice regular functions: Alessandro Perotti, MR 3585395; Michael Shapiro, Zbl 1372.30001 Reviews of Slice hyperholomorphic Schur analysis: Michael

    Irene Sabadini

    Irene_Sabadini

  • Monstrous moonshine
  • Monster and modular connection

    unexpected connection between the monster group M and modular functions, in particular the j function. The initial numerical observation was made by John McKay

    Monstrous moonshine

    Monstrous moonshine

    Monstrous_moonshine

  • Hilbert transform
  • Integral transform and linear operator

    The results were later published by Hermann Weyl in his dissertation. Schur improved Hilbert's results about the discrete Hilbert transform and extended

    Hilbert transform

    Hilbert_transform

  • Weakly symmetric space
  • Geometry notion in mathematics

    20: 47–87 Stembridge, J. R. (2001), "Multiplicity-free products of Schur functions", Annals of Combinatorics, 5 (2): 113–121, doi:10.1007/s00026-001-8008-6

    Weakly symmetric space

    Weakly_symmetric_space

  • Algebraic Riccati equation
  • Nonlinear equation which arises on linear optimal control problems

    the eigenvalues of Z that are inside the unit circle. Lyapunov equation Schur decomposition Sylvester equation Chow, Gregory (1975). Analysis and Control

    Algebraic Riccati equation

    Algebraic_Riccati_equation

  • Lyapunov equation
  • Equation from stability analysis

    specific structure of the Lyapunov equation. For the discrete case, the Schur method of Kitagawa is often used. For the continuous Lyapunov equation the

    Lyapunov equation

    Lyapunov_equation

  • Break key
  • Key of a computer keyboard

    Communications and Missile Training. Sheppard Air Force Base. 1972. p. 3-5. Schur, Lee David (1973). "PL/1 (RUSH). Using the terminal". Time-shared computer

    Break key

    Break_key

AI & ChatGPT searchs for online references containing SCHUR FUNCTION

SCHUR FUNCTION

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SCHUR FUNCTION

  • Shur
  • Biblical

    Shur

    wall; ox; that beholds

    Shur

  • Risher
  • Surname or Lastname

    English

    Risher

    English : variant of Rusher.Americanized spelling of German Rischer, a nickname for a hasty or impetuous person, from an agent derivative of Middle High German rischen ‘to rush’.Americanized spelling of Swiss German Rüscher, a topographic name for someone who lived on a mountainside, from southern dialect risch ‘slope’, ‘mountainside’ + -er, suffix denoting an inhabitant.Americanized spelling of North German Rischer, a topographic name from Middle Low German risch ‘reed’, a topographic name for someone who lived where reeds grew.Anglicized form of Eastern German Rischar, a nickname from Sorbian rýsar ‘knight’.

    Risher

  • Score
  • Surname or Lastname

    English

    Score

    English : topographic name from Middle English score ‘steep place’ (Old English scoru), or a habitational name from Score in Ilfracombe or Scur Farm in Braunton, Devon.

    Score

  • Chur
  • Boy/Male

    British, English

    Chur

    Peasant

    Chur

  • Rusher
  • Surname or Lastname

    English

    Rusher

    English : topographic name for someone who lived among rushes or occupational name for someone who made things out of rushes (see Rush).Americanized spelling of German Rüscher (variant of Rusch) or Roscher.

    Rusher

  • Shew
  • Surname or Lastname

    English

    Shew

    English : unexplained.Probably also an Americanized spelling of German and Jewish Schuh.

    Shew

  • Lasher
  • Surname or Lastname

    English (Sussex)

    Lasher

    English (Sussex) : unexplained.Americanized form of German Löscher (see Loescher).Jewish (eastern Ashkenazic) : habitational name for someone from the village of Lasha, now in Belarus.

    Lasher

  • Shur
  • Boy/Male

    Hindu

    Shur

    Wall, Ox, That beholds

    Shur

  • Shur | ஷுர
  • Boy/Male

    Tamil

    Shur | ஷுர

    Wall, Ox, That beholds

    Shur | ஷுர

  • Hampshire
  • Surname or Lastname

    English

    Hampshire

    English : regional name from the southern English county so called, which derives its name from Hampton (i.e. the port of Southampton) + Old English scīr ‘division’, ‘district’.English : regional name from the area of Hallamshire in southern Yorkshire, named from Hallam + Middle English schir ‘division’, ‘administrative region’ (Old English scīr). The surname is most common in Yorkshire, where this second derivation is most likely to be the source.

    Hampshire

  • Gates
  • Surname or Lastname

    English

    Gates

    English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.

    Gates

  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.

    Jenner

  • Fuller
  • Surname or Lastname

    English

    Fuller

    English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.

    Fuller

  • Bratcher
  • Surname or Lastname

    English

    Bratcher

    English : variant of Brach 2, the suffix -er denoting an inhabitant.Probably a partly Americanized form of Swiss German Bretscher, an occupational name for a sawyer, from Brett ‘plank’, ‘board’ + scher, a reduced form of Scherer ‘cutter’, a derivative of scheren ‘to cut’, ‘sever’.

    Bratcher

  • Lusher
  • Surname or Lastname

    English, Scottish, and Irish

    Lusher

    English, Scottish, and Irish : variant of Usher 1, with the Old French definite article prefixed.Translation of French Lussier, L’Huissier with the French definite article retained. Compare Lafontaine.Americanized spelling of German Lüscher (see Luscher).

    Lusher

  • Shoe
  • Surname or Lastname

    English

    Shoe

    English : from Middle English shoe ‘shoe’ (Old English scōh), applied as a metonymic occupational name for a shoemaker or possibly a topographic name for someone who lived on a shoe-shaped piece of land.Translation of Schuh.

    Shoe

  • Shutt
  • Surname or Lastname

    English (mainly Yorkshire)

    Shutt

    English (mainly Yorkshire) : occupational name for an archer, Middle English schut(te), schit(te) (from Old English scytta, a primary derivative of scēotan ‘to shoot’).Americanized spelling of German Schutt.

    Shutt

  • Sher
  • Surname or Lastname

    English

    Sher

    English : variant of Shear 1.Jewish (eastern Ashkenazic) : variant spelling of Scher.

    Sher

  • Shear
  • Surname or Lastname

    English

    Shear

    English : nickname for a beautiful or radiant person, or one with fair hair, from Middle English scher, schir ‘bright’, ‘fair’.

    Shear

  • Scur
  • Boy/Male

    Anglo Saxon

    Scur

    Storm.

    Scur

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Online names & meanings

  • Anushra
  • Girl/Female

    Indian, Tamil

    Anushra

    Most Pretty

  • Abdul Waahid
  • Boy/Male

    Indian

    Abdul Waahid

    Servant of the one, Servant of God

  • Trey
  • Boy/Male

    English American

    Trey

    Three. Also atraigh 'Strand'.

  • Harneet
  • Boy/Male

    Indian, Sikh

    Harneet

    God

  • Narinder
  • Boy/Male

    Sikh

    Narinder

    Leader of all human beings, King of men, The king

  • Venkatesh
  • Boy/Male

    Hindu

    Venkatesh

    Name of Lord Vishnu

  • Aleka
  • Boy/Male

    Hawaiian

    Aleka

    Protector.

  • DOROTEA
  • Female

    Italian

    DOROTEA

     Italian and Spanish form of Latin Dorothea, DOROTEA means "gift of God." Compare with another form of Dorotea.

  • Himavanth
  • Boy/Male

    Hindu

    Himavanth

    King

  • Gebhard
  • Boy/Male

    Australian, German, Swedish

    Gebhard

    Gift; Brave; Hardy

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Other words and meanings similar to

SCHUR FUNCTION

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  • Rake
  • v. t.

    To search through; to scour; to ransack.

  • Scur
  • v. i.

    To move hastily; to scour.

  • Scour
  • v. i.

    To cleanse anything.

  • Skirr
  • v. t.

    To ramble over in order to clear; to scour.

  • Scour
  • v. t.

    To purge; as, to scour a horse.

  • Scour
  • v. i.

    To run swiftly; to rove or range in pursuit or search of something; to scamper.

  • Scour
  • v. t.

    To remove by rubbing or cleansing; to sweep along or off; to carry away or remove, as by a current of water; -- often with off or away.

  • Scaur
  • n.

    A precipitous bank or rock; a scar.

  • Scoured
  • imp. & p. p.

    of Scour

  • Skirr
  • v. i.

    To scour; to scud; to run.

  • Scour
  • n.

    Diarrhoea or dysentery among cattle.

  • Bear
  • n.

    A block covered with coarse matting; -- used to scour the deck.

  • Stone
  • n.

    To rub, scour, or sharpen with a stone.

  • Rub
  • v. t.

    To scour; to burnish; to polish; to brighten; to cleanse; -- often with up or over; as, to rub up silver.

  • Scouring
  • p. pr. & vb. n.

    of Scour

  • Scour
  • v. i.

    To clean anything by rubbing.

  • Scour
  • v. i.

    To be purged freely; to have a diarrhoea.

  • Scour
  • v. t.

    To rub hard with something rough, as sand or Bristol brick, especially for the purpose of cleaning; to clean by friction; to make clean or bright; to cleanse from grease, dirt, etc., as articles of dress.

  • Scour
  • v. t.

    To pass swiftly over; to brush along; to traverse or search thoroughly; as, to scour the coast.

  • Furbish
  • v. t.

    To rub or scour to brightness; to clean; to burnish; as, to furbish a sword or spear.