Search references for BASIS SET. Phrases containing BASIS SET
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Set of functions used to represent the electronic wave function
In theoretical and computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function
Basis_set_(chemistry)
American venture capital firm
Basis Set Ventures is an American venture capital firm that was one of the earliest to specialize in investing in early-stage startups building with artificial
Basis_Set_Ventures
Topics referred to by the same term
Basis set may refer to: Basis (linear algebra) Basis set (chemistry) This disambiguation page lists articles associated with the title Basis set. If an
Basis_set
Error in quantum-chemistry calculations due to overlapping basis sets
In quantum chemistry, calculations using finite basis sets are susceptible to basis set superposition error (BSSE). As the atoms of interacting molecules
Basis_set_superposition_error
Topics referred to by the same term
option Basis function Basis (linear algebra) Dual basis Orthonormal basis Schauder basis Basis (universal algebra) Basis of a matroid Generating set of an
Basis
Basis consisting of mutually orthogonal vectors
If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal basis. Any orthogonal basis can be used to define a system
Orthogonal_basis
Basis sets used in quantum chemistry
STO-nG basis sets are minimal basis sets used in computational chemistry, more specifically in ab initio quantum chemistry methods, to calculate the molecular
STO-nG_basis_sets
Set of vectors used to define coordinates
In mathematics, a set B of elements of a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite
Basis_(linear_algebra)
an initial basis set in order to perform self-consistent calculations. A priori, there is no known mechanism for selecting a single basis set so that, after
Rayleigh theorem for eigenvalues
Rayleigh_theorem_for_eigenvalues
conditions. Here, the set of all b ( i ) {\displaystyle b(i)} is called the basis set, whereas several authors call it the "basis". The set I {\displaystyle
Basis_(universal_algebra)
Cycles in a graph that generate all cycles
cycle basis of an undirected graph is a set of simple cycles that forms a basis of the cycle space of the graph. That is, it is a minimal set of cycles
Cycle_basis
Specific linear basis (mathematics)
Hilbert spaces, a non-orthonormal set of vectors having the same linear span as an orthonormal basis may not be a basis at all. For instance, any square-integrable
Orthonormal_basis
Mathematical construct in computer algebra
geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K [ x 1 , … , x n ]
Gröbner_basis
Generators of the Clifford algebra for relativistic quantum mechanics
matrices. When interpreted as the matrices of the action of a set of orthogonal basis vectors for contravariant vectors in Minkowski space, the column
Gamma_matrices
Collection of open sets used to define a topology
\mathbb {R} } is a basis for the Euclidean topology on R {\displaystyle \mathbb {R} } because every open interval is an open set, and also every open
Base_(topology)
Set of eigenvectors used in the computer vision problem of human face recognition
form a basis set of all images used to construct the covariance matrix. This produces dimension reduction by allowing the smaller set of basis images
Eigenface
Basis used to express spherical tensors
system in the standard basis ex, ey, ez, and coordinates Ax, Ay, Az: or any other coordinate system with associated basis set of vectors. From this extend
Spherical_basis
Combining multiple simulation methods
a high level of theory and a small basis set with methods that employ lower levels of theory with larger basis sets. They are commonly used to calculate
Quantum chemistry composite methods
Quantum_chemistry_composite_methods
American engineer
Wizards Unite. Wang currently serves as the chief technology officer of Basis Set Ventures, a venture capital fund. Zarya, Valentina (March 3, 2016). "How
Niniane_Wang
Topics referred to by the same term
Hilbert basis may refer to In Invariant theory, a finite set of invariant polynomials, such that every invariant polynomial may be written as a polynomial
Hilbert_basis
Function used in quantum chemistry
6239)+0.1543\,\phi _{1s}^{\text{GTO}}(r,3.425)} This is called a STO-3G basis set. The function is made of a linear combination of Gaussians curve-fitted
Slater-type_orbital
Quantum-mechanical framework for simulating molecules and solids
r')=t(r)} Usually the exchange potential is expanded in an auxiliary basis set (RI basis) { f μ } {\displaystyle \{f_{\mu }\}} as v x ( r ) = ∑ ν v x , ν
Optimized effective potential method
Optimized_effective_potential_method
Egyptian god of the desert, storms, violence, and foreigners
ⲥⲏⲧ Sēt, is the basis for the English vocalization. In art, Set is usually depicted as an enigmatic creature referred to by Egyptologists as the Set animal
Set_(deity)
Linear algebra concept
given a vector space V {\displaystyle V} with a basis B {\displaystyle B} of vectors indexed by an index set I {\displaystyle I} (the cardinality of I {\displaystyle
Dual_basis
Basis of a type of algebraic structure
polynomial basis. In linear algebra, it refers to a set of n linearly independent generalized eigenvectors of an n×n matrix A {\displaystyle A} , if the set is
Canonical_basis
Chinese-American venture capitalist
American entrepreneur and venture capitalist. She is best known for founding Basis Set Ventures, a San Francisco–based venture capital firm that was one of the
Lan_Xuezhao
Coordinate change in linear algebra
In mathematics, an ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate
Change_of_basis
In additive number theory, an additive basis is a set S {\displaystyle S} of natural numbers with the property that, for some finite number k {\displaystyle
Additive_basis
in terms of an expansion over a basis set, χ i {\displaystyle \chi _{i}} . The most common choice for this basis set is Gaussian orbitals (GTOs) however
Yoshimine_sort
Maximal independent set of the matroid
a basis of a matroid is a maximal independent set of the matroid—that is, an independent set that is not contained in any other independent set. As
Basis_of_a_matroid
Concepts from linear algebra
associated with that eigenvalue. If a set of eigenvectors of T forms a basis of the domain of T, then this basis is called an eigenbasis. Eigenvalues are
Eigenvalues_and_eigenvectors
One hundredth of one percentage point
A basis point (often abbreviated as bp, often pronounced as "bip" or "beep") is one hundredth of 1 percentage point. Changes of interest rates are often
Basis_point
Vectors whose components are all 0 except one that is 1
In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as R n {\displaystyle \mathbb {R}
Standard_basis
Primarily Arizonan charter school operator
are made up of BASIS Charter Schools, BASIS Independent Schools, and BASIS International Schools. The first BASIS Curriculum School, BASIS Tucson, was founded
Basis_Schools
product and comultiplication. An explicit basis of the free Lie algebra can be given in terms of a Hall set, which is a particular kind of subset inside
Free_Lie_algebra
Technique in quantum chemistry
wavefunctions. In a mathematical sense, these wave functions are the basis set of functions, the basis functions, which describe the electrons of a given atom. In
Linear combination of atomic orbitals
Linear_combination_of_atomic_orbitals
Matroid with complemented basis sets
as M {\displaystyle M} , and in which a set is independent if and only if M {\displaystyle M} has a basis set disjoint from it. Matroid duals go back
Dual_matroid
Equations in quantum chemistry
are a representation of the Hartree–Fock equation in a non orthonormal basis set which can be of Gaussian-type or Slater-type. It applies to closed-shell
Roothaan_equations
2018 film by Mimi Leder
women remain housewives. She intends to set a precedent ruling that a man was discriminated against on the basis of sex, which could subsequently be cited
On_the_Basis_of_Sex
of the basis set. A plane-wave density functional calculation on a crystal with specified lattice vectors will typically include in the basis set all plane
Pulay_stress
Computational tool
In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear
Schauder_basis
Collection of mathematical objects
linearly independent set. This linearly independent set must span the vector space because of maximality, and is therefore a basis. Another classical use
Set_(mathematics)
Branch of chemistry
at MIT, using a basis set of Slater orbitals.[citation needed] For diatomic molecules, a systematic study using a minimum basis set and the first calculation
Computational_chemistry
computability theory, there are a number of basis theorems. These theorems show that particular kinds of sets always must have some members that are, in
Basis_theorem_(computability)
Wave-like behavior of an electron in a molecule
(although is still necessary for a quantitative approach). Some properties: A basis set of orbitals includes those atomic orbitals that are available for molecular
Molecular_orbital
Method in computational chemistry
explicitly sensitive to the basis set choice. In principle, a complete basis set for a molecule can be spanned by placing a large set of functions on a single
Mulliken_population_analysis
Type of mathematical function
orthogonal to the radial basis functions, estimates outside the fitting set tend to perform poorly.[citation needed] Radial basis functions are used to approximate
Radial_basis_function
Molecule containing main group elements with more than eight valence electrons
here originates from the fact that one must include d-functions in the basis sets used to describe these compounds (or else unreasonably high energies and
Hypervalent_molecule
characteristic p and K is a field extension. A p-basis is a set of elements xi of K such that the elements dxi form a basis for the K-vector space ΩK/k of differentials
P-basis
Algebra of formal sums
with a basis. Being an abelian group means that it is a set with an addition operation that is associative, commutative, and invertible. A basis, also
Free_abelian_group
Polynomial ideals are finitely generated
mathematics, Hilbert's basis theorem asserts that every ideal of a polynomial ring over a field has a finite generating set (a finite basis in Hilbert's terminology)
Hilbert's_basis_theorem
In functional analysis, a Markushevich basis (sometimes M-basis) is a biorthogonal system that is both complete and total. Completeness means that the
Markushevich_basis
Size of biclique cover of a graph
every set S i {\displaystyle S_{i}} can be described as the union of some basis elements from B {\displaystyle {\mathcal {B}}} . The set basis problem
Bipartite_dimension
and mathematical physics, a coordinate basis or holonomic basis for a differentiable manifold M is a set of basis vector fields {e1, ..., en} defined at
Holonomic_basis
Interaction between electrons, often complicating physical calculations
is highly dependent on the basis set used. The "exact" energy is the energy with full correlation and complete basis set. Electron correlation is sometimes
Electronic_correlation
Concept in physics
to be described with far fewer Fourier modes, thus making plane-wave basis sets practical to use. In this approach usually only the chemically active
Pseudopotential
Topics referred to by the same term
Basis theorem can refer to: Basis theorem (computability), a type of theorem in computability theory showing that sets from particular classes must have
Basis_theorem
Mathematical optimization algorithm
mathematical optimization, the active-set method is an algorithm used to identify the active constraints in a set of inequality constraints. The active
Active-set_method
Software for condensed matter physics
pseudopotentials, or the projector augmented wave method, and a plane wave basis set. The basic methodology is density functional theory (DFT), but the code
Vienna Ab initio Simulation Package
Vienna_Ab_initio_Simulation_Package
numerically exact solutions (within the infinitely flexible complete basis set) to the electronic time-independent, non-relativistic Schrödinger equation
Full configuration interaction
Full_configuration_interaction
Approximation method in quantum physics
combination of a finite number of basis functions, which are usually (but not always) chosen to be orthogonal. The finite basis set is assumed to be approximately
Hartree–Fock_method
Physical object which does not deform when forces or moments are exerted on it
basis set (or coordinate system) which has a fixed orientation relative to the body (i.e. rotates together with the body), relative to another basis set
Rigid_body
Semiempirical quantum chemistry method
Since the extended Hückel basis set is fixed, the monoparticle calculated wavefunctions must be projected to the basis set where the accurate calculation
Extended_Hückel_method
In software engineering, basis path testing, or structured testing, is a white box method for designing test cases. The method analyzes the control-flow
Basis_path_testing
The Graver basis of an m × n integer matrix A {\displaystyle A} is the finite set G ( A ) {\displaystyle G(A)} of minimal elements in the set { x ∈ Z n
Graver_basis
In quantum mechanics, an unextendible product basis is a set of orthogonal, non-entangled state vectors for a multipartite system, with the property that
Unextendible_product_basis
Mathematical function
a large library of published Gaussian basis sets optimized for a variety of criteria available at the Basis Set Exchange portal. In Cartesian coordinates
Gaussian_orbital
Method for approximating many-body systems
to the orbital basis set. Unfortunately, R12 methods invoke the resolution of the identity, which requires a relatively large basis set in order to be
Coupled_cluster
License. ABINIT implements density functional theory, using a plane wave basis set and pseudopotentials, to compute the electronic density and derived properties
ABINIT
Atomic model
cubic harmonics, X l c ( r ) {\displaystyle X_{lc}(\mathbf {r} )} , as a basis set. LCAO and MO calculations in computational chemistry or tight binding
Cubic_harmonic
Materials simulation software
code utilizing numeric atom-centered basis functions for its electronic structure calculations. The localized basis set enables the accurate treatment of
FHI-aims
American text analytics company
BasisTech is a software company specializing in applying artificial intelligence techniques to understanding documents and unstructured data written in
Basis_Technology
Interaction between electronic and nuclear vibrational motion in a molecule
for a plane-wave basis (see e.g. ref.), it converges extremely slowly with respect to the basis set if an atomic orbital basis set is used, due to the
Vibronic_coupling
Computational electrodynamics technique
which relies on the decomposition of the electromagnetic fields into a basis set of local eigenmodes that exists in the cross section of the device. The
Eigenmode_expansion
Family of RISC-based computer architectures
is a family of RISC instruction set architectures for computer processors. Arm Holdings develops the instruction set architecture and licenses them to
Arm_architecture_family
Set of coordinates where the coordinate hypersurfaces all meet at right angles
specified by the coordinates, and at every such point there is bound a set of basis vectors, which generally are not constant: this is the essence of curvilinear
Orthogonal_coordinates
Concentration of chemical orbitals on adjacent atoms
describe the inter-relationship of a set of basis vectors of a quantum system, such as an atomic orbital basis set used in molecular electronic structure
Orbital_overlap
Type of artificial neural network
of mathematical modeling, a radial basis function network is an artificial neural network that uses radial basis functions as activation functions. The
Radial_basis_function_network
Physics and chemistry software
be carried out. The Daubechies wavelet basis sets are an orthogonal systematic basis set as plane wave basis set but has the great advantage to allow adapted
BigDFT
Software for quantum chemistry methods
Field) is a set of programs for electronic structure calculations within DFT and density functional perturbation theory, using plane wave basis sets and pseudopotentials
Quantum_ESPRESSO
Software package implementing the Bethe–Salpeter equation
Bethe–Salpeter equation in frequency-reciprocal space and on a plane wave basis set. Its purpose is to calculate, ab initio, dielectric and optical properties
EXC_code
Software testing technique that tests boundary values
by the equivalence partitioning theory would constitute the basis. Given that the basis sets are neighbors, there would exist a boundary between them. The
Boundary-value_analysis
On rearrangement of bases in matroids
possible to find a second set of n disjoint bases Ci, each of which consists of one element from each of the bases Bi. Rota's basis conjecture has a simple
Rota's_basis_conjecture
Standard system of axiomatic set theory
the basis of a formula φ ( x ) {\displaystyle \varphi (x)} , we need to previously restrict the sets y {\displaystyle y} will regard within a set z {\displaystyle
Zermelo–Fraenkel_set_theory
Occult religious organization founded in 1975
species. Set is held in high esteem as a teacher whose example is to be emulated but he is not worshipped as a deity. Highly individualistic in basis, the
Temple_of_Set
Time when financial transactions are reported
basis of accounting is a method used to define, recognise, and report financial transactions. The two primary bases of accounting are the cash basis of
Basis_of_accounting
Real-space Real-Time TDDFT code
representation, the code works without a basis set, relying on numerical meshes. Nevertheless, auxiliary basis sets (plane waves, atomic orbitals) are used
Octopus_(software)
and 6-311+G** basis sets B3LYP density functional with 6-31G* and 6-311+G** basis sets EDF1 density functional with 6-31G* basis set MP2 with 6-31G*
Spartan_(chemistry_software)
Method in physics
augmented-plane-wave method (FLAPW). It employs a systematically extendable basis set and does not rely on the pseudopotential approximation. These features
Linearized augmented-plane-wave method
Linearized_augmented-plane-wave_method
Index of articles associated with the same name
basis set multiplied by integer coefficients. In linear algebra, an element of a vector space, a sum of finitely many elements from a given basis set
Formal_sum
Unicameral legislature of the Indian state of Tamil Nadu
house in a bicameral legislature. The first election to the assembly on the basis of universal adult suffrage was held in January 1952. According to the Delimitation
Tamil Nadu Legislative Assembly
Tamil_Nadu_Legislative_Assembly
minimal localized basis set, which can be considerably smaller in size, but of equal or higher accuracy, than the unoptimized basis sets used in most linear-scaling
ONETEP
Higher-order interactions of magnetic moments of chemicals
quantization axis. Then any quantum operators can be represented using the basis set { | j , m j ⟩ } {\displaystyle \lbrace |j,m_{j}\rangle \rbrace } as a
Multipolar exchange interaction
Multipolar_exchange_interaction
Basis of polynomials consisting of monomials
In mathematics the monomial basis of a polynomial ring is its basis (as a vector space or free module over the field or ring of coefficients) that consists
Monomial_basis
Vector representing the position of a point with respect to a fixed origin
as a unit vector. In three dimensions, any set of three-dimensional coordinates and their corresponding basis vectors can be used to define the location
Position_(geometry)
Normal standard of review in U.S. constitutional law
Supreme Court has never set forth standards for determining what constitutes a legitimate government interest. Under rational basis review, it is "entirely
Rational_basis_review
which uses density functional theory with a numerical radial function basis set to calculate the electronic properties of molecules, clusters, surfaces
DMol3
Academic journal
Binkley, R. Seeger et al., Self-consistent molecular-orbital methods. 20. Basis set for correlated wave-functions, 72(1), 650–654 (1980) [9558 citations]
The Journal of Chemical Physics
The_Journal_of_Chemical_Physics
Mathematical form for PDEs
In mathematics, a Janet basis is a normal form for systems of linear homogeneous partial differential equations (PDEs) that removes the inherent arbitrariness
Janet_basis
Fractal sets in complex dynamics of mathematics
the Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of the function
Julia_set
BASIS SET
BASIS SET
Surname or Lastname
English
English : variant of Bayliss.Hungarian and Croatian (Bališ) : from the personal name Bali, a pet form of Baltazar or Balint.Perhaps also Greek : occupational status name from Turkish balija ‘workman’, ‘low-ranking man’.
Boy/Male
Indian
Smiling, Happy
Boy/Male
Muslim
Smiling, Happy
Boy/Male
Muslim
Clear
Boy/Male
Indian
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Greek
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Muslim Arabic
Smiling.
Boy/Male
Muslim
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Surname or Lastname
English
English : probably a variant spelling of Bevis.
Male
English
 English form of French Basile, BASIL means "king." Also sometimes given as an herb name.
Boy/Male
Hindu
King, Basil the herb
Boy/Male
Indian
Vision, Propitious, Auspicious, Prudent, Bringer of glad tidings
Boy/Male
Tamil
King, Basil the herb
Surname or Lastname
English and French
English and French : from a medieval personal name, ultimately from Greek Basileios ‘royal’. The name was borne by a 4th-century bishop of Caesarea in Cappadocia, regarded as one of the four Fathers of the Eastern Church; he wrote important theological works and established a rule for religious orders of monks. Various other saints are also known under these and cognate names. The popularity of Vasili as a Russian personal name is largely due to the fact that this was the ecclesiastical name of St. Vladimir (956–1015), Prince of Kiev, who was chiefly responsible for the introduction of Christianity to Russia. As an American surname, this has also absorbed some Greek, Russian, and other derivatives of Greek Vasili.
Boy/Male
Muslim
Vast, Spacious, One who stretches, Enlarges
Boy/Male
Turkish
Intelligent.
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Female
Hebrew
 Variant spelling of Hebrew Basya, BASIA means "daughter of God."
Boy/Male
Muslim
King, Basil the herb (1)
Boy/Male
Greek American English
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
BASIS SET
BASIS SET
Boy/Male
Muslim
Prince, The Moon
Girl/Female
Hebrew
Lily.
Surname or Lastname
English
English : variant of Croswell.
Boy/Male
Muslim
Servant of the subduer (Allah)
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Mythological, Oriya, Sanskrit, Tamil
Wife of Lord Krishna
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from places called Monceaux, in Calvados and Orne, or Monchaux, in Nord and Seine-Maritime. These get their name from the plural form of Old French moncel ‘hillock’, Late Latin monticellum, a diminutive of mons. Compare Mont.
Girl/Female
Arabic, Muslim, Parsi
Moon
Boy/Male
English
From the powerful mill.
Boy/Male
Arabic, Muslim
Soldier; Army
Girl/Female
Biblical
A tower, darkness, small white cloud.
BASIS SET
BASIS SET
BASIS SET
BASIS SET
BASIS SET
pl.
of Bass
n.
The striped bass. See Bass.
n.
The striped bass. See Bass.
pl.
of Oasis
v. & a.
Fixed foundation; established basis.
a.
One who sings, or the instrument which plays, bass.
n.
The quantity contained in a basin.
n.
The two American fresh-water species of black bass (genus Micropterus). See Black bass.
n.
The deepest pedal stop, or the lowest tones of an organ; the fundamental or ground bass.
n.
A basin.
a.
A bass, or deep, sound or tone.
n.
The name given to several aromatic herbs of the Mint family, but chiefly to the common or sweet basil (Ocymum basilicum), and the bush basil, or lesser basil (O. minimum), the leaves of which are used in cookery. The name is also given to several kinds of mountain mint (Pycnanthemum).
pl.
of Basis
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
n.
An isolated or circumscribed formation, particularly where the strata dip inward, on all sides, toward a center; -- especially applied to the coal formations, called coal basins or coal fields.
a.
Hence, basic; metallic; not acid; -- opposed to negative, and said of metals, bases, and basic radicals.
n.
The southern, red, or channel bass (Sciaena ocellata). See Redfish.