Search references for HILBERT BASIS-LINEAR-PROGRAMMING. Phrases containing HILBERT BASIS-LINEAR-PROGRAMMING
See searches and references containing HILBERT BASIS-LINEAR-PROGRAMMING!HILBERT BASIS-LINEAR-PROGRAMMING
The Hilbert basis of a convex cone C is a minimal set of integer vectors in C such that every integer vector in C is a conical combination of the vectors
Hilbert basis (linear programming)
Hilbert_basis_(linear_programming)
Set of vectors used to define coordinates
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 linear combination of elements of B.
Basis_(linear_algebra)
Topics referred to by the same term
polynomial function of these basis elements Orthonormal basis of a Hilbert space Hilbert basis (linear programming) Hilbert's basis theorem This disambiguation
Hilbert_basis
Einstein–Hilbert equations Hilbert algebra Hilbert C*-module Hilbert basis (linear programming) Hilbert class field Hilbert cube Hilbert curve Hilbert curve
List of things named after David Hilbert
List_of_things_named_after_David_Hilbert
Branch of mathematics
spaces. These are vector spaces with additional structure, such as Hilbert spaces. Linear algebra is thus a fundamental part of functional analysis and its
Linear_algebra
German mathematician (1862–1943)
Hilbert ring Hilbert–Poincaré series Hilbert series and Hilbert polynomial Hilbert space Hilbert spectrum Hilbert system Hilbert transform Hilbert's arithmetic
David_Hilbert
Basic solution (linear programming) — solution at vertex of feasible region Fourier–Motzkin elimination Hilbert basis (linear programming) — set of integer
List of numerical analysis topics
List_of_numerical_analysis_topics
Set of functions used to represent the electronic wave function
{\displaystyle |\psi _{i}\rangle } are expanded within the basis set as a linear combination of the basis functions | ψ i ⟩ ≈ ∑ μ c μ i | μ ⟩ {\textstyle |\psi
Basis_set_(chemistry)
Subfield of mathematical optimization
transformations: Linear programming problems are the simplest convex programs. In LP, the objective and constraint functions are all linear. Quadratic programming are
Convex_optimization
Description of a quantum-mechanical system
in any arbitrary complete basis of kets in Hilbert space. As mentioned above, "bases" that lie outside the physical Hilbert space are also employed for
Schrödinger_equation
Fundamental space of geometry
from his Erlangen program, with the emphasis given on the groups of translations and isometries. On the other hand, David Hilbert proposed a set of axioms
Euclidean_space
Mathematical form
infinite-dimensional vector spaces, one also has the: Tensor product of Hilbert spaces Topological tensor product. The tensor product, outer product and
Product_(mathematics)
Computer algebra system
preparation. Jesús A. De_Loera cites Normaliz among his favorite programs for computing Hilbert basis. Free and open-source software portal Comparison of computer
Normaliz
Concepts from linear algebra
and eigenvectors of a linear transformation T remains valid even if the underlying vector space is an infinite-dimensional Hilbert or Banach space. A widely
Eigenvalues_and_eigenvectors
Swedish mathematician and concert pianist
the continuous linear operators on spaces of functions. At Stockholm University, Hans Rådström suggested that Enflo consider Hilbert's fifth problem in
Per_Enflo
Projection of data onto lower-dimensional manifolds
a semidefinite programming problem. Unfortunately, semidefinite programming solvers have a high computational cost. Like Locally Linear Embedding, it has
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
Relationship between programs and proofs
In programming language theory and proof theory, the Curry–Howard correspondence is a direct relationship between computer programs and mathematical proofs
Curry–Howard_correspondence
Branch of mathematics that studies abstract algebraic structures
unitary representation of a group G is a linear representation φ of G on a real or (usually) complex Hilbert space V such that φ(g) is a unitary operator
Representation_theory
Mathematical operation on vector spaces
variety of the 2 × 2 {\displaystyle 2\times 2} minors of this matrix. Hilbert spaces generalize finite-dimensional vector spaces to arbitrary dimensions
Tensor_product
Algebraic object with geometric applications
Handbook of Linear Algebra (2nd ed.). CRC Press. pp. 15–7. ISBN 978-1-4665-0729-6. Segal, I. E. (January 1956). "Tensor Algebras Over Hilbert Spaces. I"
Tensor
Hungarian and American mathematician and physicist (1903–1957)
"Reminiscences about the origins of linear programming.". In Bachem, A.; Grötschel, M.; Korte, B. (eds.). Mathematical Programming The State of the Art: Bonn 1982
John_von_Neumann
Mathematical set closed under positive linear combinations
Theory in Hilbert Spaces. Springer Science & Business Media. p. 88. ISBN 9781441994677. Cameron, Neil (1985-09-05). Introduction to Linear and Convex
Convex_cone
Unit of quantum information
qubit's orthonormal basis states { | 0 ⟩ , | 1 ⟩ } {\displaystyle \{|0\rangle ,|1\rangle \}} span the two-dimensional complex Hilbert space H 2 {\displaystyle
Qutrit
Module over a sheaf of differential operators
Mebkhout, who obtained a general, derived category version of the Riemann–Hilbert correspondence in all dimensions. The first case of algebraic D-modules
D-module
Algebraic variety in a projective space
invariants of X such as the degree and the dimension can be read off the Hilbert polynomial of this graded ring. Projective varieties arise in many ways
Projective_variety
Numerical method for solving physical or engineering problems
one chooses basis functions. We used piecewise linear basis functions in our discussion, but it is common to use piecewise polynomial basis functions.
Finite_element_method
Special dagger category that is compact
category FdHilb of finite dimensional Hilbert spaces and linear maps. The morphisms are linear operators between Hilbert spaces. The product is the usual tensor
Dagger_compact_category
Conversion of a matrix or a tensor to a vector
In mathematics, especially in linear algebra and matrix theory, the vectorization of a matrix is a linear transformation which converts the matrix into
Vectorization_(mathematics)
Forecasting rules for quantum computing
sooner than linear or simple exponential models predict, thanks to compounding improvements. Some authors have noted that the conceptual basis of Neven's
Quantum computing scaling laws
Quantum_computing_scaling_laws
Reconstruction of quantum states based on measurements
complete. That is, the measured operators must form an operator basis on the Hilbert space of the system, providing all the information about the state
Quantum_tomography
Computation model defining an abstract machine
A programming language that is Turing complete is theoretically capable of expressing all tasks accomplishable by computers; nearly all programming languages
Turing_machine
Unit of information in a quantum computer
expressed as a vector within the 𝑑-dimensional Hilbert space H𝑑, and it can be written as a linear combination |𝜓⟩=𝛼0· |0⟩+𝛼1· |1⟩+...+𝛼𝑑−1 · |𝑑−1⟩
Qudit
Branch of statistics mathematics
space by that in Hilbert space L 2 {\displaystyle L^{2}} , one arrives at the functional linear model The simple functional linear model (4) can be extended
Functional_data_analysis
Quantum mechanics posed in terms of category theory
the embedding lands in finite-dimensional Hilbert spaces. Six axioms characterize the category of Hilbert spaces completely, fulfilling the reconstruction
Categorical_quantum_mechanics
General concept and operation in mathematics
certain choice, for example the choice of a basis of V. This is also true in the case if V is a Hilbert space, via the Riesz representation theorem.
Duality_(mathematics)
Solving multiple machine learning tasks at the same time
parameter vector modeling each task is a linear combination of some underlying basis. Similarity in terms of this basis can indicate the relatedness of the
Multi-task_learning
Method of data analysis
components) constitute an orthonormal basis in which different individual dimensions of the data are linearly uncorrelated. Many studies use the first
Principal_component_analysis
Array of numbers
(see above), where matrices describe linear maps, infinite matrices can be used to describe operators on Hilbert spaces, where convergence and continuity
Matrix_(mathematics)
Basic unit of quantum information
span the two-dimensional linear vector (Hilbert) space of the qubit. Qubit basis states can also be combined to form product basis states. A set of qubits
Qubit
Most widely known generalized inverse of a matrix
In mathematics, and in particular linear algebra, the Moore–Penrose inverse A + {\displaystyle A^{+}} of a matrix A {\displaystyle A} , often called
Moore–Penrose_inverse
System comprising multiple qubits
d^{N}} -dimensional Hilbert space can in the bra-ket notation be written as a linear combination of some set of orthogonal basis vectors labeled | 0 ⟩
Quantum_register
Matrix decomposition method
Such Cholesky procedure may work even for Hilbert matrices, notoriously difficult to invert. Non-linear multi-variate functions may be minimized over
Cholesky_decomposition
Mathematical term; concerning axioms used to derive theorems
with Hilbert of regarding the axiomatic method as fundamental came under criticism. Part of L. E. J. Brouwer's critique of Hilbert's entire program resulted
Axiomatic_system
mathematics, Graver bases enable iterative solutions of linear and various nonlinear integer programming problems in polynomial time. They were introduced by
Graver_basis
Interaction of a quantum system with a classical observer
orthonormal basis for the Hilbert space, and each possible outcome of that measurement corresponds to one of the vectors comprising the basis. A density
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Theorem of quantum information theory
dimension of the environment Hilbert space by zero vectors. The proof of the no-hiding theorem is based on the linearity and the unitarity of quantum
No-hiding_theorem
Branch of mathematics
quotient rings, polynomial rings, and ideals as well as theorems such as Hilbert's basis theorem. Field theory is concerned with fields, examining field extensions
Algebra
Geometric space whose points represent algebro-geometric objects of some fixed kind
the moduli space of smooth curves and linear systems (satisfying certain criteria) may be embedded in the Hilbert scheme of a sufficiently high-dimensional
Moduli_space
Value determined from a polyhedron
dissections can tile space. It is named after Max Dehn, who used it to solve Hilbert's third problem by proving that certain polyhedra with equal volume cannot
Dehn_invariant
In physics, a linear operator acting on a vector space of linear operators
them from the operators upon which they act. Fix a choice of basis for the underlying Hilbert space { | i ⟩ } i {\displaystyle \{|i\rangle \}_{i}} . Defining
Superoperator
Branch of mathematical logic
established by David Hilbert, who initiated what is called Hilbert's program in the Foundations of Mathematics. The central idea of this program was that if we
Proof_theory
Theorem in quantum mechanics
operator on that Hilbert space sometimes termed an "observable". The eigenvectors of such an operator form an orthonormal basis for the Hilbert space, and each
Gleason's_theorem
Branch of mathematics
otherwise known as smooth manifolds. It uses the techniques of vector calculus, linear algebra and multilinear algebra. The field has its origins in the study
Differential_geometry
Basic circuit in quantum computing
complex sphere onto the basis vectors that span the space (and labels the outcomes). In many cases the space is represented as a Hilbert space H {\displaystyle
Quantum_logic_gate
Model of quantum computing
registers are called computational basis states. All n-qubit registers are complex linear combinations of these computational basis states. Quantum logic gates
Quantum_circuit
American mathematician (1924–2021)
most uses of linear programming to prove extremal combinatorial theorems. Over his career Hoffman studied the class of integer programming problems that
Alan_J._Hoffman
Representation of the symmetry group of spacetime in special relativity
can be realized as a collection of matrices, linear transformations, or unitary operators on some Hilbert space; it has a variety of representations. This
Representation theory of the Lorentz group
Representation_theory_of_the_Lorentz_group
Foundational object in quantum communication theory
Heisenberg picture: The spaces of operators L(HA) and L(HB) are Hilbert spaces with the Hilbert–Schmidt inner product. Therefore, viewing Φ : L ( H A ) → L
Quantum_channel
geometry) Dimension of an algebraic variety Hilbert's Nullstellensatz Complete variety Elimination theory Gröbner basis Projective variety Quasiprojective variety
List of algebraic geometry topics
List_of_algebraic_geometry_topics
American mathematician and mathematical physicist (1931–2020)
Cartan, Georges Valiron and the contributions to invariant theory by David Hilbert. Robert Hermann died on February 10, 2020. 1966: Lie Groups for Physicists
Robert Hermann (mathematician)
Robert_Hermann_(mathematician)
Branch of mathematics
has a basis. Hilbert wrote a thesis on invariants in 1885 and in 1890 showed that any form of any degree or number of variables has a basis. He extended
Abstract_algebra
Euclidean geometry without distance and angles
as Playfair's axiom). Affine geometry can also be developed on the basis of linear algebra. In this context an affine space is a set of points equipped
Affine_geometry
Differential calculus on function spaces
foundation. The 20th and the 23rd Hilbert problem published in 1900 encouraged further development. In the 20th century David Hilbert, Oskar Bolza, Gilbert Ames
Calculus_of_variations
Abstraction of linear independence of vectors
Examples are linear dependence of arbitrary subsets of infinite-dimensional vector spaces (but not infinite dependencies as in Hilbert and Banach spaces)
Matroid
going-down theorems (commutative algebra) Hilbert's basis theorem (commutative algebra,invariant theory) Hilbert's syzygy theorem (commutative algebra) Integral
List_of_theorems
Measure of the joint variability
be Hilbert spaces over R {\displaystyle \mathbb {R} } or C {\displaystyle \mathbb {C} } with ⟨ , ⟩ {\displaystyle \langle \,,\rangle } anti linear in
Covariance
Type of quantum computer
There are three main steps for creating a model: Choose our basis and restrict our Hilbert space Braid the anyons together Fuse the anyons at the end and
Topological_quantum_computer
Matrix with nonzero elements on the main diagonal and the diagonals above and below it
In linear algebra, a tridiagonal matrix is a band matrix that has nonzero elements only on the main diagonal, the subdiagonal/lower diagonal (the first
Tridiagonal_matrix
Australian and American mathematician (born 1975)
a prodigious rate, is a complete mystery. It has been said that David Hilbert was the last person to know all of mathematics, but it is not easy to find
Terence_Tao
historical and recent, include Felix Klein's Erlangen program, Hilbert's problems, Langlands program, and the Millennium Prize Problems. In the Mathematics
Future_of_mathematics
Physical phenomenon
finite-dimensional linear algebra, Hilbert spaces and projection matrices. A qubit is described using a two-dimensional complex number-valued vector space (a Hilbert space)
Quantum_teleportation
Property of artificial neural networks
researchers that a sufficiently large or deep network can model the complex, non-linear relationships often found in real-world data. The best-known version of
Universal approximation theorem
Universal_approximation_theorem
Branch of mathematics
prominent results in this direction are Hilbert's basis theorem and Hilbert's Nullstellensatz, which are the basis of the connection between algebraic geometry
Algebraic_geometry
Four-dimensional number system
six bivector basis elements, since with four different basic vector directions, six different pairs and therefore six different linearly independent planes
Quaternion
Branch of applied mathematics
infinite-dimensional vector space. That is called Hilbert space (introduced by mathematicians David Hilbert (1862–1943), Erhard Schmidt (1876–1959) and Frigyes
Mathematical_physics
and superdiagonals. Linear independence — two or more vectors are linearly independent if there is no way to construct one from linear combinations of the
List_of_named_matrices
Mathematics timeline
influenced by David Hilbert: with Hilbert's axioms as exemplary, by Hilbert's third problem as solved by Dehn, one of the actors, by Hilbert's fifteenth problem
Timeline_of_manifolds
View of mathematicians to consolidate two or more theories into a more generalized one
subject should be fitted into one theory (examples include Hilbert's program and Langlands program). The unification of mathematical topics has been called
Unifying theories in mathematics
Unifying_theories_in_mathematics
Theorem in physics
are represented by "observables", which are self-adjoint linear operators acting on the Hilbert space. When an observable is measured, the result will be
Bell's_theorem
First working programmable, fully automatic digital computer
ISBN 978-0-262-03398-5. OCLC 952615433. Cruz, Frank (2013-11-09). "Programming the ENIAC". Programming the ENIAC. Columbia University. Retrieved 2016-05-16. von
Z3_(computer)
Concept in quantum information theory
representing a mixed state as a pure quantum state of higher-dimensional Hilbert space. The purification allows the original mixed state to be recovered
Quantum_state_purification
Geometric object with flat sides
neither bounded nor finite. Polytopes are defined in this way, e.g., in linear programming. A polytope is bounded if there is a ball of finite radius that contains
Polytope
Branch of mathematics
salesman problem, minimum spanning trees, hidden-line removal, and linear programming. Although being a young area of geometry, it has many applications
Geometry
Encryption method in quantum mechanics
B {\displaystyle {\mathcal {A}},{\mathcal {B}}} be a three dimensional Hilbert space spanned by | A ⟩ , | B ⟩ , | U ⟩ {\displaystyle |A\rangle ,|B\rangle
Quantum_coin_flipping
Attempt to find a consistent theory of quantum gravity
renormalizable according to the old point of view. (In order to render the Einstein–Hilbert action 1 16 π G ∫ d 2 x g R {\displaystyle \textstyle {1 \over 16\pi G}\int
Asymptotic_safety
Finite extension of the rationals
and the choice of a basis since any element of K {\displaystyle K} can be uniquely represented as a linear combination of the basis elements. This way
Algebraic_number_field
Awarded every year by the American Mathematical Society
Nelson; Schwartz, Jacob T. (1988) [1963]. Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert Space (Wiley Classics Library ed.). New
Leroy_P._Steele_Prize
Restricted model of non-universal quantum computation
acting on the exponentially large Hilbert space of the system: simple counting arguments show that the size of the Hilbert space corresponding to a system
Boson_sampling
Azerbaijani mathematician
release.4, 1974 Allakhverdiyev J. E. About an optimal control problem in Hilbert space. Journal Differential equation. No. 12,1977. Allakhverdiyev J. E
Jalal_Allakhverdiyev
Special mathematical functions defined on the surface of a sphere
complete set of orthonormal functions and thus form an orthonormal basis of the Hilbert space of square-integrable functions L C 2 ( S 2 ) {\displaystyle
Spherical_harmonics
Mathematics award
Mathematiche [Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles] (2011 ed.). Springer. pp. 2013–2014. ISBN 978-3642136054. "Fields
Fields_Medal
Quantum analog of probabilistic automata
{\displaystyle Q} of orthogonal basis vectors for the Hilbert space H Q {\displaystyle {\mathcal {H}}_{Q}} . This set of basis vectors is divided up into subsets
Quantum_finite_automaton
Mathematical model of the time dependence of a point in space
into an infinite-dimensional linear problem involving U. The Liouville measure restricted to the energy surface Ω is the basis for the averages computed
Dynamical_system
Branch of number theory
and his own contribution lives on in the names of the Hilbert class field and of the Hilbert symbol of local class field theory. Results were mostly
Algebraic_number_theory
Crucial concept of quantum information
{\displaystyle {\mathcal {B}}(\mathbb {H} )} is the set of bounded linear operators on a Hilbert space H {\displaystyle \mathbb {H} } . Then M 1 , M 2 {\displaystyle
Incompatibility of quantum measurements
Incompatibility_of_quantum_measurements
Unsolved problem in computer science
algorithms can be surprisingly low. An example is the simplex algorithm in linear programming, which works surprisingly well in practice; despite having exponential
P_versus_NP_problem
Discrete Fourier transform algorithm
short-time Fourier transform, discrete wavelet transforms, or discrete Hilbert transform can be more suitable. These transforms allow for localized frequency
Fast_Fourier_transform
1920s books on mathematical history by Felix Klein
and Hilbert's problems. The second volume is organised in three chapters. The first chapter, "Elementary Content regarding the Fundamentals of Linear Invariant
Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert
Vorlesungen_über_die_Entwicklung_der_Mathematik_im_19._Jahrhundert
Number whose square is a given number
n = 2. The name of the square root function varies from programming language to programming language, with sqrt (often pronounced "squirt") being common
Square_root
Deviations from local realism
Varvitsiotis, Antonios (2017). "Linear conic formulations for two-party correlations and values of nonlocal games". Mathematical Programming. 162 (1–2): 431–463.
Quantum_nonlocality
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
Male
English
English form of Old French Gilebert, GILBERT means "pledge-bright."Â
Boy/Male
Hindu
King, Basil the herb
Male
French
Norman French form of German Hilbert, ILBERT means "battle-bright."
Male
French
French form of German Filabert, FULBERT means "very bright."Â
Male
Scottish
Scottish Gaelic form of English Albert, AILBEART means "bright nobility."
Male
French
French form of German Filabert, FILIBERT means "very bright."
Female
Spanish
Feminine form of Spanish Gilberto, GILBERTA means "pledge-bright."
Boy/Male
English
Son of Gilbert.
Male
English
English form of Latin Filbertus, FILBERT means "very bright."
Male
English
Variant spelling of English Delbert, DILBERT means "bright nobility."
Male
Scottish
Variant spelling of Scottish Gaelic Ailbeart, AILBERT means "bright nobility."
Surname or Lastname
English
English : variant of Hilbert.
Male
English
Probably a Middle English form of Anglo-Saxon Æðelbert, DELBERT means "bright nobility."
Surname or Lastname
English
English : variant spelling of Hulbert.
Surname or Lastname
English and German
English and German : from a Germanic personal name, Holbert, Hulbert, composed of the elements hold, huld ‘friendly’, ‘gracious’ + berht ‘bright’, ‘famous’.German (Hülbert) : topographic name for someone living by a pool or small pond, from Old High German huliwa ‘pool’.
Male
German
Contracted form of German Hildebert, HILBERT means "battle-bright."
Surname or Lastname
English
English : variant of Hilburn.
Surname or Lastname
English
English : variant of Hilbert.
Boy/Male
Muslim
King, Basil the herb (1)
Male
French
Variant spelling of French Philibert, PHILBERT means "very bright."
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
Boy/Male
Hindu, Indian
Binding; Attach Together
Female
Hebrew
(×œÖ´×‘Ö°× Ö·×ª) Variant form of Hebrew Livnah ("whiteness, transparency"), LIVNATH means "Belus, glass," from the sand of which glass was first made by the Phoenicians." In the bible, this is part of the name of a river, Shihor-libnath, which flows into the sea.
Boy/Male
Tamil
Precious, Valuable
Female
African
beloved.
Boy/Male
Biblical
He that fights or disputes.
Male
English
 English pet form of Hebrew David, DAW means "beloved." Compare with another form of Daw.
Surname or Lastname
English and German
English and German : topographic name for someone living near a hilltop or mountain peak, from Middle English knolle ‘hilltop’, ‘hillock’ (Old English cnoll), Middle High German knol ‘peak’. In some cases the English name is habitational, from one of the many places named with this word, for example Knole in Kent or Knowle in Dorset, West Midlands, etc.German and Jewish (Ashkenazic) : nickname for a peasant or a crude clumsy person, from Middle High German knolle ‘lump’, ‘clod’, German Knolle.
Girl/Female
African, American, Assamese, Bengali, Danish, French, German, Gujarati, Hindu, Indian, Italian, Kannada, Latin, Malayalam, Marathi, Mythological, Oriya, Sanskrit, Tamil, Telugu, Traditional
Exalted; Lofty; Goddess Laxmi
Boy/Male
Hebrew
God's help.
Boy/Male
Tamil
Most Love
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
HILBERT BASIS-LINEAR-PROGRAMMING
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
a.
A bass, or deep, sound or tone.
a.
Of a linear shape.
n.
The two American fresh-water species of black bass (genus Micropterus). See Black bass.
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.
a.
One who sings, or the instrument which plays, bass.
a.
Composed of lines; delineated; as, lineal designs.
pl.
of Bass
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).
a.
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
n.
The quantity contained in a basin.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
pl.
of Basis
n.
The southern, red, or channel bass (Sciaena ocellata). See Redfish.
a.
Hence, basic; metallic; not acid; -- opposed to negative, and said of metals, bases, and basic radicals.
n.
One who lines, as, a liner of shoes.
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
a.
Linear.
adv.
In a linear manner; with lines.