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Mathematics concept
In mathematics, a complex structure on a real vector space V {\displaystyle V} is an automorphism of V {\displaystyle V} that squares to the minus identity
Linear_complex_structure
Smooth manifold
mathematics, an almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an
Almost_complex_manifold
Topics referred to by the same term
A complex structure may refer to: Almost complex manifold Complex manifold Linear complex structure Generalized complex structure Complex structure deformation
Complex_structure
Number and arrangement of multiple folded protein subunits in a multi-subunit complex
Protein quaternary structure describes the number and arrangement of multiple folded protein subunits in a multi-subunit complex. It includes organizations
Protein_quaternary_structure
Historic Apollo Moonport
Launch Complex 39 (LC-39) is a rocket launch site at the John F. Kennedy Space Center on Merritt Island in Florida, United States. The site and its collection
Kennedy Space Center Launch Complex 39
Kennedy_Space_Center_Launch_Complex_39
Type of topological space
In mathematics, and specifically in topology, a CW complex (also cellular complex or cell complex) is a topological space that is built by gluing together
CW_complex
Manifold
differential geometry and complex geometry, a complex manifold or a complex analytic manifold is a manifold with a complex structure, that is an atlas of charts
Complex_manifold
Property of a differential manifold that includes complex structures
generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized
Generalized_complex_structure
Model of the extended complex plane plus a point at infinity
Bernhard Riemann, is a model of the extended complex plane (also called the closed complex plane): the complex plane plus one point at infinity. This extended
Riemann_sphere
Study of complex manifolds and several complex variables
complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry
Complex_geometry
One-dimensional complex manifold
two-dimensional real manifold, but it contains more structure (specifically a complex structure). Conversely, a two-dimensional real manifold can be
Riemann_surface
Number with a real and an imaginary part
The operation of complex conjugation is the reflection symmetry with respect to the real axis. The complex numbers form a rich structure that is simultaneously
Complex_number
Parametrizes complex structures on a surface
differential) surface S {\displaystyle S} is a space that parametrizes complex structures on S {\displaystyle S} up to the action of homeomorphisms that are
Teichmüller_space
Concept in differential geometry
complex vector bundle associated with the corresponding principal bundle πP: P → M of spin frames over M and the spin representation of its structure
Spin_structure
Circular geological feature in the Sahara desert
magmatic concentric alkaline complex", the International Union of Geological Sciences (IUGS) included the Richat Structure in its assemblage of 100 geological
Richat_Structure
Region between two concentric circles
the point a. As a subset of the complex plane, an annulus can be considered as a Riemann surface. The complex structure of an annulus depends only on the
Annulus_(mathematics)
Concept in differential geometry
Riemannian metric that preserves a complex structure. A complex structure is essentially an almost complex structure with an integrability condition, and
Hermitian_manifold
Branch of mathematics
the complex structure on the Riemann sphere is isolated (no moduli). For genus 1, an elliptic curve has a one-parameter family of complex structures, as
Deformation_(mathematics)
Building comprising a single dwelling
building. It may range in complexity from a rudimentary hut to a complex structure of wood, masonry, concrete or other material, outfitted with plumbing
House
Structure group sub-bundle on a tangent frame bundle
reduction of the structure group (to H {\displaystyle H} ). Several structures on manifolds, such as a complex structure, a symplectic structure, or a Kähler
G-structure_on_a_manifold
Pattern of rhymes at the end of each line of a poem or song
dactyl: XXXA XXXA Enclosed rhyme (or enclosing rhyme): ABBA Englyn: complex structure "Fire and Ice" stanza: ABAABCBCB as used in Robert Frost's poem "Fire
Rhyme_scheme
Manifold with Riemannian, complex and symplectic structure
manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by
Kähler_manifold
Complex structure theory in English law refers to an attempt to circumvent the general rule that one cannot sue for solely pure economic loss in English
Complex structure theory in English law
Complex_structure_theory_in_English_law
Algebraic structure
Hodge structures have been generalized for all complex varieties (even if they are singular and non-complete) in the form of mixed Hodge structures, defined
Hodge_structure
Universal construction of a complex Lie group from a real Lie group
Po. The homogeneous space GC / P has a complex structure, because P is a complex subgroup. The orbit in complex projective space is closed in the Zariski
Complexification_(Lie_group)
Branch of differential geometry and differential topology
on the structure of a symplectic manifold. The term "symplectic", as adopted into mathematics by Hermann Weyl, is a neo-Greek calque of "complex". Previously
Symplectic_geometry
Completion of the usual space with "points at infinity"
with a single point removed. Real projective spaces have a simple CW complex structure, as Pn(R) can be obtained from Pn−1(R) by attaching an n-cell with
Projective_space
Mathematics concept
complex structure J {\displaystyle J} (different multiplication by i {\displaystyle i} ). If V {\displaystyle V} and W {\displaystyle W} are complex vector
Complex conjugate of a vector space
Complex_conjugate_of_a_vector_space
Floodgate system in Louisiana, USA
Mississippi. The ORCS is a complex containing the original low-sill and overbank structures, as well as the auxiliary structure that was constructed after
Old_River_Control_Structure
Differential form on a manifold which is permitted to have complex coefficients
play a role in the study of almost complex structures, the theory of spinors, and CR structures. Typically, complex forms are considered because of some
Complex_differential_form
Group of unitary matrices
\mathbb {R} ).} Thus a unitary structure can be seen as an orthogonal structure, a complex structure, and a symplectic structure, which are required to be
Unitary_group
Differentiable manifold
differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an
CR_manifold
Coastal defense structure
A breakwater is a permanent structure constructed at a coastal area to protect against tides, currents, waves, and storm surges. Breakwaters have been
Breakwater_(structure)
Structuralist method of studying kinship
basic kinship structures, constructed out of two types of exchange. He called the three kinship structures elementary, semi-complex and complex. Elementary
Alliance_theory
Arrangement of information or data, typically in rows and columns
information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis
Table_(information)
Enzyme
PetN. The total molecular weight is 217 kDa. The crystal structures of cytochrome b6f complexes from Chlamydomonas reinhardtii, Mastigocladus laminosus
Cytochrome_b6f_complex
Kind of complex manifold
Here N must be the even number 2n, where n is the complex dimension of M. All such complex structures can be obtained as follows: take a lattice Λ in a
Complex_torus
A complex vector bundle can be thought of as a real vector bundle with an additional structure, the complex structure. By definition, a complex structure
Complex_vector_bundle
Enclosed structure
A building or edifice is an enclosed structure with a roof, walls and often windows, usually standing permanently in one place, such as a house or factory
Building
Structure of strands of flexible material
A braid (also referred to as a plait; /plæt/) is a complex structure or pattern formed by interlacing three or more strands of flexible material such
Braid
Type of manifold in differential geometry
compatible integrable complex structure. They form a particular class of complex manifolds. A large class of examples come from complex algebraic geometry
Symplectic_manifold
Type of mathematical functions
and partial differential equations. The deformation theory of complex structures and complex manifolds was described in general terms by Kunihiko Kodaira
Function of several complex variables
Function_of_several_complex_variables
Mathematical concept
yj) = δij. Just as every symplectic structure is isomorphic to one of the form V ⊕ V∗, every complex structure on a vector space is isomorphic to one
Symplectic_vector_space
Special tangential structure
In spin geometry, a spinc structure (or complex spin structure) is a generalization of a spin structure. In mathematics, these are used to describe spinor
Spinc_structure
Molecule composed of copies of a small unit
(as in 1,3,5-trioxane, a cyclic trimer of formaldehyde); or a more complex structure (as in tellurium tetrabromide, a tetramer of TeBr4 with a cube-like
Oligomer
ATP-dependent chromatin-remodeling protein complex in yeast
(Remodeling the Structure of Chromatin) is a protein complex of the ATP-dependent chromatin remodeler family. The activity of the RSC complex allows for chromatin
Chromatin structure remodeling (RSC) complex
Chromatin_structure_remodeling_(RSC)_complex
Multienzyme complex
Pyruvate dehydrogenase complex (PDC) is a complex of three enzymes that converts pyruvate into acetyl-CoA by a process called pyruvate decarboxylation
Pyruvate dehydrogenase complex
Pyruvate_dehydrogenase_complex
Hardened, weight bearing structure of a horse's limbs
carries the weight of the animal. It is both hard and flexible. It is a complex structure surrounding the distal phalanx of the 3rd digit (digit III of the
Horse_hoof
Two-dimensional manifold
Riemannian metric or a complex structure, that connects them to other disciplines within mathematics, such as differential geometry and complex analysis. The various
Surface_(topology)
Infectious agent that replicates in cells
particles range from simple helical and icosahedral forms to more complex structures. Most virus species have virions too small to be seen with an optical
Virus
Network with non-trivial topological features
lattices and random graphs, do not show these features. The most complex structures can be realized by networks with a medium number of interactions.
Complex_network
Biomolecule consisting of chains of amino acid residues
power has supported the sequencing of complex proteins. In 1999, Roger Kornberg sequenced the highly complex structure of RNA polymerase using high intensity
Protein
Arrangement that creates a quadrupole field of some sort
form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity. The quadrupole moment tensor
Quadrupole
Type of biological prediction
tertiary structure from primary structure. Structure prediction is different from the inverse problem of protein design. Protein structure prediction
Protein_structure_prediction
Theory in theoretical physics
strings depend only on the Kähler form of the spacetime, and not on the complex structure. Classically these correlation functions are determined by the cohomology
Topological_string_theory
Mathematics concept
In mathematics, a real structure on a complex vector space is a way to decompose the complex vector space in the direct sum of two real vector spaces
Real_structure
Characteristic property of holomorphic functions
complex structure in the plane, given by J = [ 0 − 1 1 0 ] . {\displaystyle J={\begin{bmatrix}0&-1\\1&0\end{bmatrix}}.} This is a complex structure in
Cauchy–Riemann_equations
Mathematical concept
symplectic matrices the structure of a group. There exists a natural manifold structure on this group which makes it into a (real or complex) Lie group called
Symplectic_matrix
Core pattern of emotions, memories, perceptions, and desires
A complex is a structure in the unconscious that is objectified as an underlying theme—like a power or a status—by grouping clusters of emotions, memories
Complex_(psychology)
Protein complex assembled on mRNA
to transcriptional regulation and chromatin structure. The crystallization of the exon junction complex has revealed the structural organization of its
Exon_junction_complex
Study of abstract algebraic structures
the simplest non-trivial examples is a linear complex structure, which is a representation of the complex numbers C, thought of as an associative algebra
Algebra_representation
smooth manifold, given the structure of a complex vector space via the almost complex structure J {\displaystyle J} of the complex manifold M {\displaystyle
Holomorphic_tangent_bundle
the intermediate Jacobian of a compact Kähler manifold or Hodge structure is a complex torus that is a common generalization of the Jacobian variety of
Intermediate_Jacobian
Geometric structure on a smooth manifold
necessarily a contact structure) and an almost-complex structure. They can be considered as an odd-dimensional counterpart to almost complex manifolds. They
Almost_contact_manifold
Mathematical manifold theory
with the complex structure, making X a Kähler manifold. For a complex manifold X and a natural number r, every C∞ r-form on X (with complex coefficients)
Hodge_theory
Enzyme
FO. The structure of the intact ATP synthase is currently known at low-resolution from electron cryo-microscopy (cryo-EM) studies of the complex. The cryo-EM
ATP_synthase
Way in which an organization is structured
administration." Bureaucratic structures have a certain degree of standardization. They are better suited for more complex or larger scale organizations
Organizational_structure
Idea in psychoanalysis
their experience of the Oedipus complex. The complex is thought to persist into adulthood as an unconscious psychic structure which can assist in social adaptation
Oedipus_complex
Voicing approach in jazz
In jazz, the term upper structure or "upper structure triad" refers to a voicing approach developed by jazz pianists and arrangers defined by the sounding
Upper_structure
Maximal smooth atlas for a topological manifold
{\displaystyle C^{k}} or (real-)analytic structure on the manifold rather than a smooth one. Similarly, a complex structure can be defined by requiring the transition
Smooth_structure
Philosophical concept
are two senses of multiplicity in Deleuze, (1) as a complex structure and (2) as the complex structure. Roffe also describes the two multiplicities of Bergson's
Multiplicity_(philosophy)
Protein-pigment complex
PMID 24352671. Kühlbrandt, Werner (June 1995). "Structure and function of bacterial light-harvesting complexes". Structure. 3 (6): 521–525. doi:10.1016/S0969-2126(01)00184-8
Light-harvesting_complex
List of military components of the U.S. Defense Department
down to the newest recruits. The Department of Defense oversees a complex structure of joint command and control functions, split generally into administrative
List of components of the U.S. Department of Defense
List_of_components_of_the_U.S._Department_of_Defense
Branch of mathematics
variables (complex surfaces), though not every 4-manifold admits a complex structure. Occasionally, one needs to use the tools of topology but a "set of
Topology
Algebraic structure in homological algebra
a graded associative algebra with a chain complex structure that is compatible with the algebra structure. In geometry, the de Rham algebra of differential
Differential_graded_algebra
Skyscraper in Kuala Lumpur, Malaysia
The Dayabumi Complex (Malay: Kompleks Dayabumi) is a major landmark in Kuala Lumpur, Malaysia. It houses several commercial facilities and is one of the
Dayabumi_Complex
Reproductive structure in flowering plants
as blossoms and blooms, are the reproductive structures of flowering plants. Typically, they are structured in four circular levels around the end of a
Flower
Ordered arrangement of atoms, ions, or molecules in a crystalline material
ISBN 978-1-57766-425-3. L. Pauling (1929). "The principles determining the structure of complex ionic crystals". J. Am. Chem. Soc. 51 (4): 1010–1026. Bibcode:1929JAChS
Crystal_structure
Type of mathematical set
In mathematics, a simplicial complex is a structured set of simplices (for example, points, line segments, triangles, and their n-dimensional counterparts)
Simplicial_complex
Organized way in which molecules are ordered and sorted
diatomic oxygen or nitrogen) to very complex ones (e.g., such as protein or DNA). Theories of chemical structure were first developed by August Kekulé
Chemical_structure
losses are also restricted in German law though not in French law. The complex structure theory is an argument which has been put forward in pure economic
Pure economic loss in English law
Pure_economic_loss_in_English_law
Concept in string theory
{\displaystyle X} of class A {\displaystyle A} , for some chosen almost complex structure J {\displaystyle J} on X {\displaystyle X} compatible with its symplectic
Gromov–Witten_invariant
Astrophysical models for the formation of galaxies and clusters of galaxies
the density that were the early "seeds" from which all subsequent complex structures in the universe ultimately developed. After the first matter condensed
Structure_formation
Mental disorder associated with trauma
Complex post-traumatic stress disorder (C-PTSD, CPTSD, or cPTSD) is a stress-related mental disorder generally occurring in response to complex traumas:
Complex post-traumatic stress disorder
Complex_post-traumatic_stress_disorder
Computational modeling of molecular interaction
modelling of the quaternary structure of complexes formed by two or more interacting biological macromolecules. Protein–protein complexes are the most commonly
Macromolecular_docking
Differentiable manifold
nilpotent Lie group. A complex nilmanifold is a quotient of a complex group manifold (G,I), equipped with a left-invariant complex structure, by a discrete,
Nilmanifold
Compound with a metal center bound to ligands
periodic table's d-block), are coordination complexes. Coordination complexes are so pervasive that their structures and reactions are described in many ways
Coordination_complex
Topics referred to by the same term
sets Chain complex, an algebraic structure Simplicial complex, a kind of topological space CW complex, a kind of topological space Line complex, a 3-dimensional
Complex
Type of stable macromolecular complex
complexes are a form of quaternary structure. Proteins in a protein complex are linked by non-covalent protein–protein interactions. These complexes are
Protein_complex
Type of Riemannian manifold
, g ) {\displaystyle (M,g)} endowed with three integrable almost complex structures I , J , K {\displaystyle I,J,K} that are Kähler with respect to the
Hyperkähler_manifold
of complex analytic manifolds. A dianalytic structure on a manifold is given by an atlas of charts such that the transition maps are either complex analytic
Dianalytic_manifold
Thought experiment of protein folding
protein folding happens very quickly, even for complex structures, suggesting that the intermediate structures are steered to a stable state through an uneven
Levinthal's_paradox
Central atom with four substituents located at the corners of a tetrahedron
their four associated hydrogen atoms. Many compounds and complexes adopt bitetrahedral structures. In this motif, the two tetrahedra share a common edge
Tetrahedral molecular geometry
Tetrahedral_molecular_geometry
the structure of unbound cyclin A was solved by Brown et al. and in the same year Jeffery et al. solved the structure of human cyclin A-CDK2 complex to
Cyclin-dependent kinase complex
Cyclin-dependent_kinase_complex
Architecture of early generative grammar
Deep structure and surface structure (also D-structure and S-structure although those abbreviated forms are sometimes used with distinct meanings) are
Deep structure and surface structure
Deep_structure_and_surface_structure
Custom SQL data type
(person_title), ); Each custom structure type can also contain other types in order to support more complex structures: CREATE TYPE Address_Type AS OBJECT
Structured_type
Protein-coding gene in humans
humans is encoded by the ADRM1 gene. Recent evidences on proteasome complex structure confirmed that the protein encoded by gene ADRM1, also known in yeast
ADRM1
Galaxy supercluster complex containing the Virgo Supercluster
Rood". Tully, R. B. (1988). "The Pisces-Cetus Supercluster Complex". Large Scale Structures of the Universe. 130: 243. Bibcode:1988IAUS..130..243T. doi:10
Pisces–Cetus Supercluster Complex
Pisces–Cetus_Supercluster_Complex
Three dimensional shape of a protein
protein's tertiary and quaternary structure. It is particularly well-suited to large proteins and symmetrical complexes of protein subunits. Dual polarisation
Protein_tertiary_structure
Irreducible parts of a load-bearing structural system
structural analysis to split a complex structure into simple elements (each bearing a structural load). Within a structure, an element cannot be broken
Structural_element
COMPLEX STRUCTURE
COMPLEX STRUCTURE
Girl/Female
Tamil
Complete
Boy/Male
Tamil
Poornan | பூரà¯à®¨à®¾à®¨
Complete
Poornan | பூரà¯à®¨à®¾à®¨
Boy/Male
Tamil
Complete
Girl/Female
Bengali, Indian
Good Complex
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : habitational name from any of various places called Copley, for example in County Durham, Staffordshire, and Yorkshire, from the Old English personal name Coppa (apparently a byname for a tall man) or from copp ‘hilltop’ + lēah ‘woodland clearing’.
Boy/Male
Indian
Complete
Surname or Lastname
English
English : habitational name, probably from Comley in Shropshire or Combley on the Isle of Wight; both are named with Old English cumb ‘valley’ + lēah ‘woodland clearing’.
Girl/Female
Tamil
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Complete
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Girl/Female
Muslim
Complex, Zigzag, Curling
Girl/Female
Arabic, Muslim
Complex; Zigzag; Curling
Surname or Lastname
English
English : unexplained.Americanized form of German Koppler.
Girl/Female
Tamil
Complete
Girl/Female
Tamil
Complete
Girl/Female
Tamil
Shesha Harani | ஷேஷ ஹரணீÂ
Complete
Shesha Harani | ஷேஷ ஹரணீÂ
Girl/Female
Tamil
Complete
Boy/Male
Tamil
Complete
Boy/Male
Indian
Complete
Girl/Female
Hindu, Indian
Complex
Boy/Male
Tamil
Complete
Surname or Lastname
English
English : habitational name from Coppull in Lancashire, recorded in the 13th century as Cophill, from Old English copp ‘peak’ + hyll ‘hill’.English : nickname from Old French curt peil ‘short hair’.Probably an Americanized spelling of German and Jewish Koppel or German and Dutch Kappel.
COMPLEX STRUCTURE
COMPLEX STRUCTURE
Boy/Male
Hindu, Indian
Worshipper
Boy/Male
American, Gujarati, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
Girl/Female
Australian, Biblical
Lady of Scent; Song; The Morning Star
Boy/Male
Arabic, Muslim
The Pardoner; He who Pardons All who Repent Sincerely as if They had No Previous Sin
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Raga
Girl/Female
Hindu, Indian, Marathi
Charming; Pleasing
Surname or Lastname
English
English : variant of Franey.
Girl/Female
Australian, French, Greek, Slavic
Spring; Vase; Vessel
Boy/Male
Gujarati, Hindu, Indian, Kannada, Kashmiri, Malayalam, Marathi, Mythological, Sanskrit, Telugu, Traditional
Brave Heart
Girl/Female
Indian, Tamil
Beauty Raining
COMPLEX STRUCTURE
COMPLEX STRUCTURE
COMPLEX STRUCTURE
COMPLEX STRUCTURE
COMPLEX STRUCTURE
imp. & p. p.
of Couple
a.
Finished; ended; concluded; completed; as, the edifice is complete.
n.
One who couples; that which couples, as a link, ring, or shackle, to connect cars.
a.
Intricate; entangled; complicated; complex.
n.
Composed of two or more parts; composite; not simple; as, a complex being; a complex idea.
a.
That which joins or links two things together; a bond or tie; a coupler.
adv.
In a complex manner; not simply.
imp. & p. p.
of Comply
a.
Complex, complicated.
a.
Not complex; uncompounded; simple.
v. t.
To bring to a state in which there is no deficiency; to perfect; to consummate; to accomplish; to fulfill; to finish; as, to complete a task, or a poem; to complete a course of education.
a.
One of the pairs of plates of two metals which compose a voltaic battery; -- called a voltaic couple or galvanic couple.
n.
One who complies, yields, or obeys; one of an easy, yielding temper.
imp. & p. p.
of Compile
a.
See Couple-close.
n.
Two taken together; a pair or couple; especially two lines of verse that rhyme with each other.
n.
A complex; an aggregate of parts; a complication.
a.
Repeatedly compound; made up of complex constituents.
n.
One who compiles; esp., one who makes books by compilation.
pl.
of Couple-close