Searches , social queries for SCHUR FUNCTION
Search references for SCHUR FUNCTION. Phrases containing SCHUR FUNCTION
See searches and references containing SCHUR FUNCTION!
Search references for SCHUR FUNCTION. Phrases containing SCHUR FUNCTION
See searches and references containing 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
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
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
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
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
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
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
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
Russian and 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
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
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
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)
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
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
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
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
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
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
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)
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)
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
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
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)
the discipline of representation theory, the Schur indicator, named after Issai Schur, or Frobenius–Schur indicator describes what invariant bilinear forms
Frobenius–Schur_indicator
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
Shorthand notation in the algebra
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
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
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
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
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
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
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
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
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
via the Hall–Littlewood symmetric functions. Specializing q to 1, these symmetric functions become Schur functions, which are thus closely connected with
Hall_algebra
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
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
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
} Other important bases for quasisymmetric functions include the basis of quasisymmetric Schur functions, the "type I" and "type II" quasisymmetric power
Quasisymmetric_function
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
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
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
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
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
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
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
Schur functions, the Hall–Littlewood symmetric functions, the Jack symmetric functions, the zonal symmetric functions, the zonal spherical functions,
N!_conjecture
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
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
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
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
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
Set of the values of a function
In mathematics, the image of a function f : X → Y {\displaystyle f:X\to Y} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle
Image_(mathematics)
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
American mathematician (born 1951)
Willigenburg, An Introduction to Quasisymmetric Schur Functions Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux, Springer, New
Ira_Gessel
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
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
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
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
Sporadic simple group
the monster group. The outer automorphism group of B is trivial and the Schur multiplier of B has order 2. The existence of this group was suggested by
Baby_monster_group
American mathematician
exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Kluwer Academic Publishers. ISBN 9781402004919.
Stephen_Milne_(mathematician)
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
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
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
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
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
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
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
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
Algorithm for finding a zero of a function
bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs. The method consists
Bisection_method
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
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
Projective variety that is also an algebraic group
algebraic group, i.e., has a group law that can be defined by regular functions. Abelian varieties are at the same time among the most studied objects
Abelian_variety
German mathematician
– January 10, 1998) was a German mathematician who worked on special functions, in particular orthogonal polynomials. He introduced Hahn polynomials
Wolfgang_Hahn
23rd episode of the 2nd season of Parks and Recreation
episode was directed by Dean Holland and written by series co-creator Michael Schur. "The Master Plan" featured the first series appearances by Scott and Lowe
The Master Plan (Parks and Recreation)
The_Master_Plan_(Parks_and_Recreation)
Austrian neurologist 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
value decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia additivity formula Matrix equivalence
Outline_of_linear_algebra
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
Mathematical function
Representation theory Ring of symmetric functions Schur polynomial Macdonald, I. G. (1995). Symmetric Functions and Hall Polynomials (2nd ed.). Oxford:
Elementary symmetric polynomial
Elementary_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
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
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
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
Italian mathematician
Entire slice regular functions: Alessandro Perotti, MR 3585395; Michael Shapiro, Zbl 1372.30001 Reviews of Slice hyperholomorphic Schur analysis: Michael
Irene_Sabadini
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
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
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
iteration for the iterative solution of the equations arising from the Schur complement method. This continuous iteration can be discretized by the finite
Neumann–Neumann_methods
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
were introduced by Faber (1903, 1919) and studied by Grunsky (1939) and Schur (1945). Curtiss, J. H. (1971), "Faber Polynomials and the Faber Series"
Faber_polynomials
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
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
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
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
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
Category of mental action used in psychology and philosophy of mind
desire), and feeling was also described by Immanuel Kant. However, Norman Schur more recently included the word "conation" among his 1000 most challenging
Conation
Classical averages studied in ancient Greece
majorization and Schur-convex functions. The harmonic and geometric means are concave symmetric functions of their arguments, and hence Schur-concave, while
Pythagorean_means
1st and 2nd episodes of the 3rd season of The Good Place
overall, they were written by Jen Statsky, with series creator Michael Schur for the first part and directed by Dean Holland. The episodes first aired
Everything_Is_Bonzer!
In mathematics, Schubert polynomials are generalizations of Schur polynomials that represent cohomology classes of Schubert cycles in flag varieties.
Schubert_polynomial
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
travel, tourism, insurance
SCHUR FUNCTION
SCHUR FUNCTION
Surname or Lastname
English
English : variant of Shear 1.Jewish (eastern Ashkenazic) : variant spelling of Scher.
Surname or Lastname
English
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’.
Surname or Lastname
English
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.
Biblical
wall; ox; that beholds
Boy/Male
Anglo Saxon
Storm.
Surname or Lastname
English
English : from Middle English shoe ‘shoe’ (Old English scÅh), 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.
Boy/Male
Tamil
Wall, Ox, That beholds
Surname or Lastname
English
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.
Surname or Lastname
English
English : unexplained.Probably also an Americanized spelling of German and Jewish Schuh.
Surname or Lastname
English (Sussex)
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.
Surname or Lastname
English
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.
Surname or Lastname
English (mainly Yorkshire)
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.
Surname or Lastname
English
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’.
Surname or Lastname
English
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.
Surname or Lastname
English
English : nickname for a beautiful or radiant person, or one with fair hair, from Middle English scher, schir ‘bright’, ‘fair’.
Boy/Male
British, English
Peasant
Surname or Lastname
English, Scottish, and Irish
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).
Boy/Male
Hindu
Wall, Ox, That beholds
Surname or Lastname
English
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.
Surname or Lastname
English (chiefly Kent and Sussex)
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.
SCHUR FUNCTION
SCHUR FUNCTION
SCHUR FUNCTION
SCHUR FUNCTION
SCHUR FUNCTION
SCHUR FUNCTION
SCHUR FUNCTION
travel, tourism, insurance