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Construction in homological algebra
In mathematics, the Koszul complex was first introduced to define a cohomology theory for Lie algebras, by Jean-Louis Koszul (see Lie algebra cohomology)
Koszul_complex
French mathematician
days after his 97th birthday. Koszul algebra Koszul complex Koszul duality Koszul cohomology Koszul connection Koszul–Tate resolution Lie algebra cohomology
Jean-Louis_Koszul
On polynomial rings over fields
syzygy module is free, but not the (n − 1)th one (for a proof, see § Koszul complex, below). The theorem is also true for modules that are not finitely
Hilbert's_syzygy_theorem
Study of dimension in algebraic geometry
-regular sequence for each positive integer j {\displaystyle j} . A Koszul complex is a powerful computational tool. For instance, it follows from the
Dimension_theory_(algebra)
and named after Jean-Louis Koszul as they are closely related to the Koszul complex. Green (1989) surveys early work on Koszul cohomology, Eisenbud (2005)
Koszul_cohomology
Tool in homological algebra
complex Eagon–Northcott complex Gersten complex Graph complex Koszul complex Moore complex Schur complex Differential graded algebra Differential graded Lie
Chain_complex
Various mathematical dualites
In mathematics, Koszul duality, named after the French mathematician Jean-Louis Koszul, is any of various kinds of dualities found in representation theory
Koszul_duality
Process in mathematics
zero or linear forms. An example of a Koszul algebra is a polynomial ring over a field, for which the Koszul complex is the minimal graded free resolution
Koszul_algebra
Technique for constructing resolutions in homological algebra
{\displaystyle A\otimes (A/K)\otimes \cdots \otimes (A/K)\otimes A} . Koszul complex Eilenberg, Samuel; Lane, Saunders Mac (July 1953). "On the Groups H(Π
Bar_complex
In mathematics, a Koszul–Tate resolution or Koszul–Tate complex of the quotient ring R/M is a projective resolution of it as an R-module which also has
Koszul–Tate_resolution
Formulation to quantize gauge field theories in physics
C^{\infty }(M)} of the Hamiltonian action. The resulting Koszul complex is the Koszul complex of the S ( g ) {\displaystyle S({\mathfrak {g}})} -module
BRST_quantization
Concept in algebraic geometry
being "well suited for computations." The Čech complex can be defined as a colimit of Koszul complexes K ∙ ( f 1 , … , f m ) {\displaystyle K^{\bullet
Local_cohomology
Well-behaved sequence in a commutative ring
fattened. If r1, ..., rd is a regular sequence in a ring R, then the Koszul complex is an explicit free resolution of R/(r1, ..., rd) as an R-module, of
Regular_sequence
quotient of a polynomial algebra and taking the Koszul complex associated to this presentation. The Koszul complex acts as a semi-free resolution of the differential
Derived_scheme
Type of mathematical equation
to higher order syzygy modules, and this leads to the concept of the Koszul complex of an ideal, which provides information on the non-trivial relations
Linear_relation
Algebra associated to any vector space
exterior algebra is the main ingredient in the construction of the Koszul complex, a fundamental object in homological algebra. The exterior algebra was
Exterior_algebra
Direct summand of a free module (mathematics)
M → 0. A classic example of a projective resolution is given by the Koszul complex of a regular sequence, which is a free resolution of the ideal generated
Projective_module
Construction in homological algebra
the quotient of a commutative ring by any regular sequence, using the Koszul complex. For example, if R {\displaystyle R} is the polynomial ring k [ x 1
Ext_functor
a module homomorphism is the pre-image of the zero element. Koszul complex Koszul complex Krull–Schmidt The Krull–Schmidt theorem says that (1) a finite-length
Glossary_of_module_theory
American mathematician
theory both of formal and of analytical structure. This is a kind of Koszul complex theory, taken up by numerous mathematicians during the 1960s. In particular
Donald_C._Spencer
Algebraic structure
complete intersection ring. A key argument in such considerations is the Koszul complex, which provides an explicit free resolution of the residue field k of
Commutative_ring
Construction in homological algebra
the quotient of a commutative ring by any regular sequence, using the Koszul complex. For example, if R {\displaystyle R} is the polynomial ring k [ x 1
Tor_functor
Exact sequence used to describe the structure of an object
lower than r-i. A classic example of a free resolution is given by the Koszul complex of a regular sequence in a local ring or of a homogeneous regular sequence
Resolution_(algebra)
{\displaystyle F_{0}=R} , and let K ∙ {\displaystyle K_{\bullet }} denote the Koszul complex of R with respect to x 1 , … , x d {\displaystyle x_{1},\ldots ,x_{d}}
Homological conjectures in commutative algebra
Homological_conjectures_in_commutative_algebra
Regular local ring Regular sequence Cohen–Macaulay ring Gorenstein ring Koszul complex Spectrum of a ring Zariski topology Kähler differential Generic flatness
List of algebraic geometry topics
List_of_algebraic_geometry_topics
emb dim (R) of R. Define a graded algebra H(R) as the homology of the Koszul complex with respect to a minimal system of generators of m/m2; up to isomorphism
Complete_intersection_ring
Defines a notion of parallel transport on a bundle
connections are also called Koszul connections after Jean-Louis Koszul, who gave an algebraic framework for describing them (Koszul 1950). This article defines
Connection_(vector_bundle)
A-linear map u : E → A {\displaystyle u:E\to A} is called Koszul-regular if the Koszul complex determined by it is acyclic in dimension > 0 (consequently
Regular_embedding
integers of the imaginary quadratic field of discriminant −7. Koszul complex The Koszul complex is a free resolution constructed from a regular sequence.
Glossary of commutative algebra
Glossary_of_commutative_algebra
methods of p-adic analysis, p-adic algebraic differential equations, Koszul complexes and other techniques that have not all been absorbed into general theories
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
Homological algebra is the study of homological functors
module Injective module Projective resolution Injective resolution Koszul complex Exact functor Derived functor Ext functor Tor functor Filtration (abstract
List of homological algebra topics
List_of_homological_algebra_topics
Mathematics study in geometry
above complex with O ( − n − 1 ) {\displaystyle {\mathcal {O}}(-n-1)} . For n = 2 {\displaystyle n=2} the Koszul complex above is the exact complex 0 →
Derived noncommutative algebraic geometry
Derived_noncommutative_algebraic_geometry
Month in 1921
for training. Born: Jean-Louis Koszul, French mathematician and algebraic topology theorist for whom the Koszul complex is named; in Strasbourg (d. 2018)
January_1921
, where A ! {\displaystyle A^{!}} is the Koszul dual algebra of A {\displaystyle A} . The associated Koszul duality functors induce a triangulated equivalence
Category_O
Commutative algebra studies commutative rings, their ideals, and modules over such rings
module Cohen-Macaulay ring Gorenstein ring Complete intersection ring Koszul complex Hilbert's syzygy theorem Quillen–Suslin theorem Height (ring theory)
List of commutative algebra topics
List_of_commutative_algebra_topics
Russian American mathematician (born 1957)
Beilinson, Ginzburg, and Wolfgang Soergel introduced the concept of Koszul duality (cf. Koszul algebra) and the technique of "mixed categories" to representation
Victor_Ginzburg
Tool in homological algebra
an algebra. Gersten–Witt spectral sequence Green's spectral sequence for Koszul cohomology Grothendieck spectral sequence for composing derived functors
Spectral_sequence
Cohomology theory for Lie algebras
homogènes clos". Annales de la Société Polonaise de Mathématique. 8: 181–225. Koszul, Jean-Louis (1950). "Homologie et cohomologie des algèbres de Lie". Bulletin
Lie_algebra_cohomology
tensor algebra over the Hochschild homology of A. A Zinbiel algebra is the Koszul dual concept to a Leibniz algebra. It has as defining identity: ( a ∘ b
Leibniz_algebra
Function in mathematics
Koszul (Koszul 1950) gave an algebraic framework for regarding a connection as a differential operator by means of the Koszul connection. The Koszul connection
Connection_(mathematics)
Algebraic structure in mathematics
quantum groups. The most important class of graded quadratic algebras is Koszul algebras. A quadratic-linear algebra is an algebra over a field with a presentation
Quadratic_algebra
Mathematical seminars held in Paris since 1948
inspired by the Bourbaki seminars on mathematics. Henri Cartan, Les travaux de Koszul, I (Lie algebra cohomology) Claude Chabauty, Le théorème de Minkowski-Hlawka
Séminaire_Nicolas_Bourbaki
Mark; Kottwitz, Robert; MacPherson, Robert (1998). "Equivariant cohomology, Koszul duality, and the localization theorem" (PDF). Inventiones Mathematicae.
GKM_variety
Pictorial representation of symmetry
after F. Lannér who enumerated the compact hyperbolic groups in 1950, and Koszul (or quasi-Lannér) for the paracompact groups. The type of a rank 2 Coxeter
Coxeter–Dynkin_diagram
Mathematics glossary
Kan complex See Kan complex. Kirby–Siebenmann Kirby–Siebenmann classification. Kervaire invariant The Kervaire invariant. Koszul duality Koszul duality
Glossary of algebraic topology
Glossary_of_algebraic_topology
Arrangement of hyperplanes
and B. The Orlik–Solomon algebra of every supersolvable arrangement is a Koszul algebra; whether the converse is true is an open problem. Stanley, Richard
Supersolvable_arrangement
Affine connection on the tangent bundle of a manifold
{\displaystyle 2g(\nabla _{X}Y,Z)-g([X,Y],Z)+g([X,Z],Y)+g([Y,Z],X)} . Thus, the Koszul formula g ( ∇ X Y , Z ) = 1 2 { X ( g ( Y , Z ) ) + Y ( g ( Z , X ) ) −
Levi-Civita_connection
Cellular process
Bibcode:1912JEZ....13...79M. doi:10.1002/jez.1400130105. Janssens FA, Koszul R, Zickler D (June 2012). "The chiasmatype theory. A new interpretation
Chromosomal_crossover
Mathematical structure in differential geometry
volume form invariant under the Hamiltonian flows. It was introduced by Koszul and Weinstein. Recall that the divergence of a vector field X ∈ X ( M )
Poisson_manifold
Algebraic topology theory
cohomology of invariant differential forms does not yield new information. Koszul duality is known to hold between equivariant cohomology and ordinary cohomology
Equivariant_cohomology
Branch of mathematics
devices are constructed using tangent cohomology. This is formed by using the Koszul–Tate resolution, and potentially modifying it by adding additional generators
Deformation_(mathematics)
Weil cohomology theory for schemes X over a base field k
differential equations can be formulated easily enough by means of the algebraic Koszul connections, but in the p {\displaystyle p} -adic theory the analogue of
Crystalline_cohomology
Russian-American mathematician
ISBN 978-0-8218-3528-9. Beilinson, A. A.; Ginzburg, V.; Soergel, W. (1996). "Koszul duality patterns in representation theory". Journal of the American Mathematical
Alexander_Beilinson
French mathematician (1904–2008)
Jean-Louis Koszul, Jean-Pierre Serre and René Thom. Cartan's first research interests, until the 40's, were in the theory of functions of several complex variables
Henri_Cartan
Tools for studying groups based on techniques from algebraic topology
developed in the late 1940s, by Claude Chevalley and Eilenberg, and Jean-Louis Koszul (Weibel 1999, p. 810). It is formally similar, using the corresponding definition
Group_cohomology
multiple names: authors list (link) Böhm K, Giacomelli G, Schmidt A, Imhof A, Koszul R, Marbouty M, Bramkamp M (2020). "Chromosome organization by a conserved
SMC_protein
Branch of mathematics
contributed to the development of the modern theory, including Jean-Louis Koszul who introduced connections on vector bundles, Shiing-Shen Chern who introduced
Differential_geometry
differential geometry Magnus Wenninger (1919–2017) – polyhedron models Jean-Louis Koszul (1921–2018) Isaak Yaglom (1921–1988) Eugenio Calabi (1923–2023) Benoit Mandelbrot
List_of_geometers
Phylum of pseudocoelomate invertebrates
Hespeels B, Knapen M, Hanot-Mambres D, Heuskin AC, Pineux F, LUCAS S, Koszul R, Van Doninck K (July 2014). "Gateway to genetic exchange? DNA double-strand
Rotifer
General concept and operation in mathematics
(optimization) Duality (projective geometry) Dualizing module Dualizing sheaf Koszul duality Langlands dual Linear programming#Duality List of dualities Matlis
Duality_(mathematics)
Generalization of associativity properties
duality phenomena in rational homotopy theory could be explained using Koszul duality of operads. Operads have since found many applications, such as
Operad
theorem associates to the Koszul–Tate complex of reducible Noether identities, parameterized by antifields, the BRST complex of reducible gauge symmetries
Noether_identities
Protein complex
celrep.2020.108344. PMID 33147461. Böhm K, Giacomelli G, Schmidt A, Imhof A, Koszul R, Marbouty M, Bramkamp M (2020). "Chromosome organization by a conserved
Condensin
American mathematician (1925–2019)
theory by the use of formal groups, creating the Lubin–Tate local theory of complex multiplication. He has also made a number of individual and important contributions
John_Tate_(mathematician)
Process in mitosis and meiosis
Cournac A, Marbouty M, Duigou S, Mozziconacci J, Espéli O, Boccard F, Koszul R (2018). "Multiscale Structuring of the E. coli Chromosome by Nucleoid-Associated
Chromosome_condensation
Result in enumerative combinatorics and linear algebra
developed by Foata–Han, Konvalinka–Pak, and Etingof–Pak. Further connections to Koszul algebra and quasideterminants were also found by Hai–Lorentz, Hai–Kriegk–Lorenz
MacMahon's_master_theorem
Algebraic structure in homological algebra
1 in T ( V ) {\displaystyle T(V)} . This is commonly referred to as the Koszul sign rule. One can extend this construction to differential graded vector
Differential_graded_algebra
Mechanism of nuclear organization
Chapard, Christophe; Dauban, Lise; Gadal, Olivier; Beckouët, Frédéric; Koszul, Romain (June 2022). "Smc3 acetylation, Pds5 and Scc2 control the translocase
Loop_extrusion
Construct allowing differentiation of tangent vector fields of manifolds
covariant differentiation was abstracted by Jean-Louis Koszul, who defined (linear or Koszul) connections on vector bundles. In this language, an affine
Affine_connection
Homological construction
category of modules over DG-algebras. Keller also gives applications to Koszul duality, Lie algebra cohomology, and Hochschild homology. More generally
Derived_category
variétés usuelles en géométrie algébrique (algebraic geometry) Jean-Louis Koszul, Cohomologie des espaces fibrés différentiables et connexions (Chern–Weil
Séminaire Nicolas Bourbaki (1950–1959)
Séminaire_Nicolas_Bourbaki_(1950–1959)
Branch of mathematics
quantization Fredholm module Fuzzy sphere Groupoid C*-algebra K-homology Koszul connection Morita equivalence Moyal product Noncommutative algebraic geometry
Noncommutative_geometry
clarification, development, and generalization by Henri Cartan, Jean-Louis Koszul, Armand Borel, Jean-Pierre Serre, and Leray himself allowed these concepts
List of publications in mathematics
List_of_publications_in_mathematics
Symmetric monoidal infinity category
edu/~lurie/282ynotes/LectureXXII-En.pdf J. Lurie, http://www.math.harvard.edu/~lurie/282ynotes/LectureXXIII-Koszul.pdf "En-algebra", ncatlab.org v t e
En-ring
Jordan curve Kähler-Einstein metric Kähler metric Killing vector field Koszul Connection Length metric the same as intrinsic metric. Length space Levi-Civita
Glossary of Riemannian and metric geometry
Glossary_of_Riemannian_and_metric_geometry
"Les efforts de restauration financière de la Bulgarie (1922-1931) . J. P. Koszul". Journal of Political Economy. 42 (1): 138–139. doi:10.1086/254584. ISSN 0022-3808
Economy_of_Bulgaria
chosen negative, a Lorentzian metric would instead be produced. Using the Koszul formula it is direct to compute the Levi-Civita connection: ∇ u 1 u 2 =
Berger's_sphere
Genomic analysis technique
ISSN 0030-8730. Cournac, Axel; Marie-Nelly, Hervé; Marbouty, Martial; Koszul, Romain; Mozziconacci, Julien (30 August 2012). "Normalization of a chromosomal
Hi-C (genomic analysis technique)
Hi-C_(genomic_analysis_technique)
Concept in homological algebra
This t-structure called geometric t-structure plays a prominent role in Koszul duality. The category of spectra is endowed with a t-structure generated
T-structure
American mathematician
American Men and Women of Science, Thomson Gale 2004 Green, M. (1984). "Koszul cohomology and the geometry of projective varieties". J. Diff. Geom. 19:
Mark_Lee_Green
Swiss mathematician (1929–2023)
63-77. Haefliger, André (1987). "Des espaces homogènes à la résolution de Koszul" (PDF). Annales de l'Institut Fourier. 37 (4): 5–13. doi:10.5802/aif.1107
André_Haefliger
Reproduction without a sexual process
; Knapen, M.; Hanot-Mambres, D.; Heuskin, A.-C.; Pineux, F.; Lucas, S.; Koszul, R.; van Doninck, K. (July 2014). "Gateway to genetic exchange? DNA double-strand
Asexual_reproduction
Mathematical theory of topological spaces
This duality between commutative algebras and Lie algebras is a version of Koszul duality. For spaces whose rational homology in each degree has finite dimension
Rational_homotopy_theory
Polish sports club
8 September 2021. "Po 23 309 dniach żeńska sekcja piłki nożnej Czarnych Koszul ponownie stanie do boju!". Facebook. Polonia Warszawa. 15 August 2021. Archived
Polonia_Warsaw
Intrinsic geometric structures in mathematics
directly for a general surface by noting that the four properties imply the Koszul formula 2 ( ∇ X Y , Z ) = X ⋅ ( Y , Z ) + Y ⋅ ( X , Z ) − Z ⋅ ( X , Y )
Riemannian connection on a surface
Riemannian_connection_on_a_surface
Pseudonym of a group of mathematicians
number of members joined: Jean-Pierre Serre, Pierre Samuel, Jean-Louis Koszul, Jacques Dixmier, Roger Godement, and Sammy Eilenberg. These people constituted
Nicolas_Bourbaki
differential graded algebra. One common example of such dga's comes from the Koszul algebra arising from a regular sequence. This is an important result because
Homotopy_associative_algebra
Mathematical identity concerning matrices
1–15, doi:10.1619/fesi.51.1 Brini, A; Teolis, A (1993), "Capelli's theory, Koszul maps, and superalgebras", PNAS, 90 (21): 10245–10249, Bibcode:1993PNAS.
Capelli's_identity
French composer (1916–2013)
Dutilleux and grandson of the composer Julien Koszul. He was also a cousin of the mathematician Jean-Louis Koszul. He studied harmony, counterpoint, and piano
Henri_Dutilleux
Kazakh mathematician and physicist (born 1956)
13.1.4 Dzhumadildaev A.S., Zusmanovich P., The alternative operad is not Koszul // Experimental Mathematics. – 2011. – V. 20, No.2. – P. 138–144. Dzhumadildaev
Askar_Dzhumadildayev
Graded lattice with modular maximal chain
arrangement of hyperplanes with a supersolvable intersection lattice is a Koszul algebra. For more information, see Supersolvable arrangement. Any finite
Supersolvable_lattice
Mathematics course at the Collège de France
Jacques Deny Problèmes de la théorie du potentiel 1950–1951 Jean-Louis Koszul La cohomologie des espaces fibrés différentiables Evry Schatzman La structure
Peccot_Lectures
Method in molecular biology
(1): 31–5. doi:10.1002/jcp.25062. PMC 4586368. PMID 26059817. Marbouty M, Koszul R (December 2015). "Metagenome Analysis Exploiting High-Throughput Chromosome
Chromosome conformation capture
Chromosome_conformation_capture
Tom; Pan, Tao; Antequera, Francisco; Shen, Yue; Nieduszynski, Conrad A.; Koszul, Romain; Dai, Junbiao; Steinmetz, Lars M.; Boeke, Jef D.; Cai, Yizhi (November
Timeline_of_biotechnology
French geneticist
Colleaux (Institut Imagine), Alain Jacquier (Institut Pasteur), Romain Koszul (Institut Pasteur), Emmanuelle Fabre (Hôpital Saint Louis), Cécile Fairhead
Bernard_Dujon
Infinitesimal version of Lie groupoid
{\displaystyle d^{n}:\Omega ^{n}(A,E)\to \Omega ^{n+1}(A,E)} with the following Koszul-like formula: d ω ( α 0 , … , α n ) := ∑ i = 1 n ( − 1 ) i ∇ α i ( ω ( α
Lie_algebroid
English prior
"Christina Garrett : The Marian Exiles" "Selsey". Retrieved 2 April 2016. A. Koszul, Was Bishop William Barlow Friar Jerome Barlow? (1928). Listed in the DNB
William Barlow (bishop of Chichester)
William_Barlow_(bishop_of_Chichester)
Swedish mathematician (1935–2017)
Sciences. 252: 3702–3704. MR 0132091. Roos, Jan-Erik (1993). "Commutative non-Koszul algebras having a linear resolution of arbitrarily high order. Applications
Jan-Erik_Roos
an algebraic surface (normal singularity, algebraic surfaces) Jean-Louis Koszul, Théorèmes de points fixes pour les groupes élémentaires, d'après Borel
Séminaire Nicolas Bourbaki (1960–1969)
Séminaire_Nicolas_Bourbaki_(1960–1969)
Tom; Pan, Tao; Antequera, Francisco; Shen, Yue; Nieduszynski, Conrad A.; Koszul, Romain; Dai, Junbiao; Steinmetz, Lars M.; Boeke, Jef D.; Cai, Yizhi (November
2023_in_science
KOSZUL COMPLEX
KOSZUL COMPLEX
Boy/Male
Tamil
Nipun
Surname or Lastname
English
English : variant of Grice.French (Grisé) : variant spelling of Griset, a nickname for someone with gray hair, a gray complexion, or perhaps one who habitually wore gray, from Old French gris ‘gray’.
Surname or Lastname
English (Midlands)
English (Midlands) : nickname for a dark-complexioned man, from Old English earp ‘swarthy’.Americanized spelling of German Erp.
Female
Thai/Siamese
Thai name KOSUM means "flower."
Girl/Female
Tamil
Gourangi | கௌராஂகீ
Giver of happiness, One name of radhas name, Lord krishnas beloved, Fair complexioned
Gourangi | கௌராஂகீ
Boy/Male
Tamil
Pandurangan | பநà¯à®¤à¯à®°à®‚கந
A deity, One with pale white complexion, Lord Vishnu
Pandurangan | பநà¯à®¤à¯à®°à®‚கந
Surname or Lastname
German
German : nickname from the small medieval coin known as the häller or heller because it was first minted (in 1208) at the Swabian town of (Schwäbisch) Hall. Compare Hall.Jewish (Ashkenazic) : habitational name for someone from Schwäbisch Hall.German : topographic name for someone living by a field named as ‘hell’ (see Helle 3).English : topographic name for someone living on a hill, from southeastern Middle English hell + the habitational suffix -er.Dutch : from a Germanic personal name composed of the elements hild ‘strife’ + hari, heri ‘army’.Jewish (Ashkenazic) : nickname for a person with fair hair or a light complexion, from an inflected form, used before a male personal name, of German hell ‘light’, ‘bright’, Yiddish hel.
Surname or Lastname
English
English : nickname from Middle English gulle ‘gull’ or gul(le) (Old Norse gulr) ‘yellow’, ‘pale’ (of hair or complexion).Swiss German : nickname for an irascible or unreliable person, from an Alemannic form of Latin gallus ‘rooster’. See also Guell.
Boy/Male
Tamil
Panduranga | பாநà¯à®¤à¯à®°à®‚கா
A deity, One with pale white complexion, Lord Vishnu
Panduranga | பாநà¯à®¤à¯à®°à®‚கா
Girl/Female
Tamil
Dheekshitha | தீகà¯à®·à¯€à®¤à®¾Â
Fair complexioned
Dheekshitha | தீகà¯à®·à¯€à®¤à®¾Â
Boy/Male
Czechoslovakian
Goat.
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó Duinn, Ó Doinn ‘descendant of Donn’, a byname meaning ‘brown-haired’ or ‘chieftain’.English : nickname for a man with dark hair or a swarthy complexion, from Middle English dunn ‘dark-colored’.Scottish : habitational name from Dun in Angus, named with Gaelic dùn ‘fort’.Scottish : nickname from Gaelic donn ‘brown’. Compare 1.
Boy/Male
Tamil
Pandurang | பாஂடà¯à®°à®‚க
A deity, One with pale white complexion, Lord Vishnu
Pandurang | பாஂடà¯à®°à®‚க
Girl/Female
Tamil
Gaurangi | கௌராஂகீ
Giver of happiness, One name of radhas name, Lord krishnas beloved, Fair complexioned
Gaurangi | கௌராஂகீ
Surname or Lastname
English
English : from the popular medieval personal name Hudde, which is of complex origin. It is usually explained as a pet form of Hugh, but there was a pre-existing Old English personal name, Hūda, underlying place names such as Huddington, Worcestershire. This personal name may well still have been in use at the time of the Norman Conquest. If so, it was absorbed by the Norman Hugh and its many diminutives. Reaney adduces evidence that Hudde was also regarded as a pet form of Richard.German : from a short form of a Germanic compound personal name formed with hut ‘guard’ as the first element.Variant spelling of German Hütt (see Huett).Jewish (Ashkenazic) : metonymic occupational name from Yiddish hut, German Hut ‘hat’ (see Huth).
Boy/Male
Hindu
Nipun
Surname or Lastname
English
English : nickname for someone with a complexion that was as ‘white as a lily’ (Middle English lilie).
Boy/Male
Hindu, Indian
Capable
Surname or Lastname
English
English : from Old English dūst ‘dust’, applied as a nickname, possibly for someone with a dusty complexion or hair (as, for example, a miller), or for a worthless person.North German : possibly a Westphalian habitational name from a farm named with dost ‘bush’, ‘brush’. However, the word also means ‘fine dust’, ‘flour’ and may have been applied as an occupational nickname for a miller. Compare 1.
Surname or Lastname
English
English : nickname for a person with a ruddy complexion, from an adjective derivative of Middle English mad(d)er ‘madder’, the dye plant (see Mader 1), here used in a transferred sense.
KOSZUL COMPLEX
KOSZUL COMPLEX
Girl/Female
Italian
Little moon.
Boy/Male
British, English, Swedish
Honor
Boy/Male
Hindu, Indian, Punjabi, Sikh
The Power of Lord Ganesha
Girl/Female
Tamil
Shreenidhi | à®·à¯à®°à¯€à®¨à¯€à®¤à¯€Â
Treasure, Wealth, Prosperity
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu, Traditional
Kind
Boy/Male
Indian, Sanskrit
Bound; Wealthy; Fortunate
Boy/Male
American, Celtic, Christian, German, Irish
Fiery; A Thinker; Form of Hugh; Small Fire
Girl/Female
Arabic, Gujarati, Hindu, Indian, Muslim
Sweet Smile
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Telugu, Traditional
The Abode of Hari
Boy/Male
Buddhist, Indian
Buddha Life
KOSZUL COMPLEX
KOSZUL COMPLEX
KOSZUL COMPLEX
KOSZUL COMPLEX
KOSZUL COMPLEX
n.
The state of being complex; complexity.
n.
The quality or state of being complex or involved; complication.
n.
Any one of the many complex derivatives of urea; thus, hydantoin, and, in an extended dense, guanidine, caffeine, et., are ureides.
n.
That which is complex; intricacy; complication.
n.
A complex nitrogenous substance, produced as a yellow crystalline substance, and regarded as a complex derivative of barbituric acid.
n.
A green poisonous substance used as a pigment and drug, obtained by the action of acetic acid on copper, and consisting essentially of a complex mixture of several basic copper acetates.
pl.
of Complexity
n.
The general appearance or aspect; as, the complexion of the sky; the complexion of the news.
n.
Composed of two or more parts; composite; not simple; as, a complex being; a complex idea.
a.
Complex, complicated.
n.
The state of being complex; complexity.
a.
Having (such) a complexion; -- used in composition; as, a dark-complexioned or a ruddy-complexioned person.
n.
A combination; a complex.
adv.
In a complex manner; not simply.
a.
Of or pertaining to constitutional complexion.
n.
A complex; an aggregate of parts; a complication.
a.
Pertaining to the complexion, or to the care of it.
n.
The state of being complex; intricacy; entanglement.
a.
Pertaining to, or designating, a complex acid obtained, as a yellow crystalline substance, from certain genera of lichens (Usnea, Parmelia, etc.).
a.
Of, pertaining to, or designating, a complex nitroso derivative of barbituric acid. It is obtained as a white or yellow crystalline substance, and forms characteristic yellow, blue, and violet salts.