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Quadratic programming as a special case
In mathematical optimization theory, the linear complementarity problem (LCP) arises frequently in computational mechanics and encompasses the well-known
Linear complementarity problem
Linear_complementarity_problem
Method in linear algebra
theory, the mixed linear complementarity problem, often abbreviated as MLCP or LMCP, is a generalization of the linear complementarity problem to include free
Mixed linear complementarity problem
Mixed_linear_complementarity_problem
a more general context) "the complementarity problem." A special case of this, called "the linear complementarity problem", is a major part of Cottle's
Richard_W._Cottle
the name complementarity. e.g. X = (1, 0) and Y = (0, 2) are complementary, but X = (1, 1) and Y = (2, 0) are not. A complementarity problem is a special
Complementarity_theory
mathematics, a Q-matrix is a square matrix whose associated linear complementarity problem LCP(M,q) has a solution for every vector q. M is a Q-matrix
Q-matrix
Mathematics problem
Richard W.; Pang, Jong-Shi; Stone, Richard E. (1992). The linear complementarity problem. Computer Science and Scientific Computing. Boston, MA: Academic
Nonlinear complementarity problem
Nonlinear_complementarity_problem
Method for mathematical optimization
programming, and for the linear-complementarity problem with "sufficient matrices"; conversely, for linear complementarity problems, the criss-cross algorithm
Criss-cross_algorithm
American mathematician (1914–2005)
for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems in statistical
George_Dantzig
Study of mathematical algorithms for optimization problems
somewhere on this curve". Also, the problem of computing contact forces can be done by solving a linear complementarity problem, which can also be viewed as
Mathematical_optimization
algorithm is a procedure for solving linear complementarity problems, and more generally mixed linear complementarity problems. It is named after Carlton E.
Lemke's_algorithm
Complex square matrix for which every principal minor is positive
sufficient matrices is another generalization of P-matrices. The linear complementarity problem L C P ( M , q ) {\displaystyle \mathrm {LCP} (M,q)} has a unique
P-matrix
Solving an optimization problem with a quadratic objective function
Richard W.; Pang, Jong-Shi; Stone, Richard E. (1992). The linear complementarity problem. Computer Science and Scientific Computing. Boston, MA: Academic
Quadratic_programming
Study of the deformation of solids that touch each other
After discretization the linear elastic contact mechanics problem can be stated in standard Linear Complementarity Problem (LCP) form. h = h 0 + g +
Contact_mechanics
Matrix in mathematics
occur in the study of solutions to linear complementarity problem. Linear complementarity problems arise in linear and quadratic programming, computational
M-matrix
Software for approximate simulation of physical systems
unit Cell microprocessor Linear complementarity problem Impulse/constraint physics engines require a solver for such problems to handle multi-point collisions
Physics_engine
Complementarity theory — study of problems with constraints of the form ⟨u, v⟩ = 0 Mixed complementarity problem Mixed linear complementarity problem
List of numerical analysis topics
List_of_numerical_analysis_topics
Chinese-American mathematician
of a matrix splitting algorithm for the symmetric monotone linear complementarity problem". SIAM Journal on Control and Optimization. 29 (5): 1037–1060
Paul_Tseng
LP-type problem (also called a generalized linear program) is an optimization problem that shares certain properties with low-dimensional linear programs
LP-type_problem
Topics referred to by the same term
packing theory, in chemistry Light compensation point, in biology Linear complementarity problem, in mathematical optimisation Link Control Protocol, in computer
LCP
Algebraic modeling language
optimization Semidefinite programming problems with bilinear matrix inequalities Complementarity theory problems (MPECs) in discrete or continuous variables
AMPL
Mechanical constraint which prevents penetration between two bodies
for the solution of the Signorini conditions: the nonlinear/linear complementarity problem (N/LCP) formulation and the augmented Lagrangian formulation
Unilateral_contact
Open source scientific software for modeling non-smooth dynamical systems
optimization problems arising in the simulation of nonsmooth dynamical systems Linear complementarity problem (LCP) Mixed linear complementarity problem (MLCP)
Siconos
case of the Linear complementarity problem and can be done in finite time by the Lemke–Howson algorithm. There is a reduction from the problem of finding
Bimatrix_game
Idempotent linear transformation from a vector space to itself
In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism)
Projection_(linear_algebra)
Physics experiment
pattern will disappear. This which-way experiment illustrates the complementarity principle that photons can behave as either particles or waves, but
Double-slit_experiment
Vietnamese mathematician (1927–2019)
Vychisl. Mat. Mat. Fiz., 28:7 (1988), 992–999 Solving the linear complementarity problem through concave programming Nguyen Van Thoai, Hoang Tuy Zh. Vychisl
Hoàng_Tụy
Israeli mathematician and computer scientist
1992 Frederick W. Lanchester Prize for their research on the linear complementarity problem, also including Masakazu Kojima, Shinji Mizuno, Toshihito Noma
Nimrod_Megiddo
Unsolved problem in computational complexity theory
automorphisms of a graph. The recognition of self-complementarity of a graph or digraph. A clique problem for a class of so-called M-graphs. It is shown
Graph_isomorphism_problem
Theoretical problem in quantum physics
mechanics evolves deterministically according to the Schrödinger equation as a linear superposition of different states. However, actual measurements always find
Measurement_problem
Relativistic wave equation in quantum mechanics
problems that are only resolved in quantum field theory, where the equation describes the dynamics of spin-0 fields. Mathematically, it is a linear second-order
Klein–Gordon_equation
Topics referred to by the same term
is used to solve linear PDEs Nonlinear algebra, branch of mathematics generalizing linear algebra Nonlinear complementarity problem (NCP), finding a vector
Nonlinearity_(disambiguation)
Class of games in game theory
strategies and affine delay funcions can be presented as a Linear complementarity problem. In a weighted CG, different players may have different effects
Congestion_game
orientation of a hypercube was formulated as an abstraction of linear complementarity problems by Stickney & Watson (1978) and it was termed "unique sink
Unique_sink_orientation
mathematical programming problems such as linear programs (LPs), nonlinear programs (NPs), mixed integer programs (MIPs), mixed complementarity programs (MCPs)
Extended Mathematical Programming
Extended_Mathematical_Programming
Mathematical optimization algorithm
"Optimization III: Convex Optimization" (PDF). Murty, K. G. (1988). Linear complementarity, linear and nonlinear programming. Sigma Series in Applied Mathematics
Active-set_method
Paradox from inconsistencies in friction models
trajectories may attain a zone in the phase space, where the linear complementarity problem (LCP) that gives the contact force, has no solution. Then the
Painlevé_paradox
Complexity class
condition. UEOPL contains, among others, the problem of solving the P-matrix-Linear complementarity problem, finding the sink of a Unique sink orientation
TFNP
Concept in mathematical optimization
Lagrange multiplier The Big M method, for linear problems, which extends the simplex algorithm to problems that contain "greater-than" constraints. Interior-point
Karush–Kuhn–Tucker_conditions
problems / regression, both linear and nonlinear Mathematical programs with complementarity constraints (MPCC/MPEC) Mixed-integer nonlinear problems (MIP/MINLP)
Artelys_Knitro
Algorithms for solving convex optimization problems
barrier methods or IPMs) are algorithms for solving linear and non-linear convex optimization problems. IPMs combine two advantages of previously-known algorithms:
Interior-point_method
1989 Optimisation algorithm
conditions for the problem are A T λ + s = c , (Lagrange gradient condition) A x = b , (Feasibility condition) X S e = 0 , (Complementarity condition) ( x
Mehrotra predictor–corrector method
Mehrotra_predictor–corrector_method
Abstraction of ordered linear algebra
linear-fractional programming, quadratic-programming problems, and linear complementarity problems. Outside of combinatorial optimization, oriented matroid
Oriented_matroid
Type of programming language
kind of mathematical problems like: linear problems integer problems (mixed integer) quadratic problems mixed complementarity problems mathematical programs
Algebraic_modeling_language
Hungarian mathematician (born 1955)
Tamás (1 July 1993). "The linear complementarity problem, sufficient matrices, and the criss-cross method" (PDF). Linear Algebra and Its Applications
Tamás_Terlaky
Conjectured solution to the black hole information paradox
Black hole complementarity is a conjectured solution to the black hole information paradox, proposed by Leonard Susskind, Lárus Thorlacius, John Uglum
Black_hole_complementarity
Problem in physics and quantum mechanics
The quantum many-body problem is a general name for a vast category of physical problems pertaining to deriving the behavior of multi-particle systems
Many-body_problem
Interpretation of quantum mechanics
a quantum event. The many-worlds interpretation's key idea is that the linear and unitary dynamics of quantum mechanics applies everywhere and at all
Many-worlds_interpretation
Description of a quantum-mechanical system
observable in that eigenstate. More generally, a quantum state will be a linear combination of the eigenstates, known as a quantum superposition. When an
Schrödinger_equation
Method for immune repertoire sequencing
result is that each TCR is unique and recognizes a specific antigen Complementarity determining regions (CDRs) are a part of the TCR and play an essential
Tcr-seq
Thought experiments
and second derivative conditions, and linearity of budget sets or objective functions. In fact, sometimes a problem meeting these conditions can be monotonically
Comparative_statics
Dominating set that induces a connected subgraph
spanning tree problem can be solved in polynomial time, by transforming them into an instance of the matroid parity problem for linear matroids. Connected
Connected_dominating_set
Japanese operations researcher
primal-dual interior point methods for linear programming and its generalization to linear complementarity problems". The group also included Masakazu Kojima
Akiko_Yoshise
Hungarian and American mathematician and physicist (1903–1957)
slip of paper." When George Dantzig brought von Neumann an unsolved problem in linear programming "as I would to an ordinary mortal", on which there had
John_von_Neumann
Mandelbaum (1989) "Dynamic Complementarity Problems", unpublished manuscript. Heemels, Schumacher, and Weiland (2000) "Linear complementarity systems", SIAM Journal
Differential variational inequality
Differential_variational_inequality
Any entity that can be measured
observables may not be simultaneously measurable, a property referred to as complementarity. This is mathematically expressed by non-commutativity of their corresponding
Observable
File format for presenting and archiving mathematical programming problems
Global optimization Semidefinite programming problems with bilinear matrix inequalities Complementarity problems (MPECs) in discrete or continuous variables
Nl_(format)
Procedure for finding a stable matching
in the number of participants, and linear in the size of the input to the algorithm. The stable matching problem, and the Gale–Shapley algorithm solving
Gale–Shapley_algorithm
Interdisciplinary research area
in which the training reduces to solving a linear system of equations, for example in least-squares linear regression, the least-squares version of support
Quantum_machine_learning
Mathematical optimization software
programming Costly or expensive black-box global optimization Nonlinear complementarity problems TOMLAB supports more areas than general optimization, for example:
TOMLAB
Portuguese engineer (1951–2008)
quasi-static frictional contact by using a second-order cone linear complementarity problem” (with Y. Kanno, A. Pinto da Costa), International Journal for
João_Arménio_Correia_Martins
form of complementarity between the endogenous variable and exogenous parameter. Roughly speaking, a maximization problem displays complementarity if a higher
Monotone_comparative_statics
Description of physical properties at the atomic and subatomic scale
ISBN 978-981-256-691-1. Plotnitsky, Arkady (2012). Niels Bohr and Complementarity: An Introduction. US: Springer. pp. 75–76. ISBN 978-1-4614-4517-3.
Quantum_mechanics
Motion of multibody systems
inclusion problems. The evaluation of these inequalities/inclusions is commonly done by solving linear (or nonlinear) complementarity problems, by quadratic
Contact_dynamics
Type of mathematical modeling system
Washington, D.C. 1991 Mixed Integer Non-Linear Programs capability (DICOPT) 1994 GAMS supports mixed complementarity problems 1995 MPSGE language is added for
General algebraic modeling system
General_algebraic_modeling_system
Study of the attraction between people that leads to friendship or romance
propinquity (frequency of interaction), familiarity, similarity, complementarity, reciprocal liking, and reinforcement. The impact of familiarity, for
Interpersonal_attraction
Japanese mathematician (born 1951)
finite pivot algorithms in various settings, including linear programming, linear complementarity and their combinatorial abstractions in oriented matroids
Komei_Fukuda
Interpretation of quantum mechanics
arbitrary quantum state ρ ^ {\displaystyle {\hat {\rho }}} may be written as a linear combination of the SIC projectors ρ ^ = ∑ i = 1 d 2 [ ( d + 1 ) P ( H i
QBism
Dynamical system that exhibits continuous and discrete dynamic behavior
represents the interactions between the ball and the ground, is the complementarity relation between the force and the distance (the gap) between the ball
Hybrid_system
Distance function defined between probability distributions
theorem of linear programming, since the primal problem is feasible and bounded, so is the dual problem, and the minimum in the first problem equals the
Wasserstein_metric
diversity constraints (maximize smallest number of residents per sector), complementarity constraints (maximize couples / siblings matched to the same institute)
Optimal_stable_matching
Business analytics software company
programming Mixed-integer nonlinear programming Global optimization Complementarity problems (MPECs) Stochastic programming Robust optimization Constraint programming
AIMMS
Theory seeking to explain childhood mental development
considered postformal. Reich and Ozer investigated the concept of complementarity, which they defined as the process of making sense of seemingly incompatible
Postformal_thought
projected dynamical systems, Moreau's sweeping process, linear and nonlinear complementarity dynamical systems, discontinuous ordinary differential equations
Differential_inclusion
Quadratic fractional programming problem
replacing the lower-level problem by its Karush-Kuhn-Tucker conditions. This yields a single-level mathematical program with complementarity constraints, i.e.
Bilevel_optimization
Quantum mechanical model
Muneer A. (2006). "Transition amplitude for time-dependent linear harmonic oscillator with Linear time-dependent terms added to the Hamiltonian" (PDF). M
Quantum_harmonic_oscillator
Region in spacetime from which nothing can escape
"firewall" at the event horizon. An alternative is provided by the complementarity principle, according to which, in the chart of the far observer, infalling
Event_horizon
Thought experiment in quantum mechanics
cartoons, music, and webcomics. Physics portal Basis function Cat state Complementarity (physics) Double-slit experiment Elitzur–Vaidman bomb tester Heisenberg
Schrödinger's_cat
Physics experiment
fundamental aspects of quantum mechanics, including quantum entanglement and complementarity. The quantum eraser experiment is a variation of Thomas Young's classic
Quantum_eraser_experiment
Quantum-mechanical version of computer memory
information processing applications such as quantum network, quantum repeater, linear optical quantum computation or long-distance quantum communication. Optical
Quantum_memory
Applications of machine learning to quantum physics
turn large and noisy data sets into meaningful information. This is a problem that has already been studied extensively in the classical setting, and
Machine_learning_in_physics
Branch of applied mathematics
a positive number λ {\displaystyle \lambda } that would solve the complementarity equation p T ( A − λ B ) q = 0 , {\displaystyle p^{\mathrm {T} }(\mathbf
Mathematical_economics
Compact astronomical body
Chowdhury, Borun D.; Puhm, Andrea (2013). "Unitarity and Fuzzball Complementarity: "Alice Fuzzes but May Not Even Know It!"". Journal of High Energy
Black_hole
ISBN 0534408966. Morin, David (2005). Introduction to Classical Mechanics: With Problems and Solutions. Cambridge University Press. ISBN 9780521876223. Müller-Kirsten
List of textbooks on classical mechanics and quantum mechanics
List_of_textbooks_on_classical_mechanics_and_quantum_mechanics
Science concerned with physical bodies subjected to forces or displacements
an alternative theory is exposed in the pseudo-Aristotelian Mechanical Problems, often attributed to one of his successors. There is another tradition
Mechanics
Quantum mechanics mathematical equation
first presented the formula in 1957, is an equation which expresses the linear response of an observable quantity due to a time-dependent perturbation
Kubo_formula
Process by which a quantum system takes on a definitive state
spin ( s z {\displaystyle s_{z}} ), and so on. The observable acts as a linear function on the states of the system; its eigenvectors correspond to the
Wave_function_collapse
Wave equations respecting special and general relativity
Pauli matrices; the Weyl equation, for massless spin-1/2 fermions. The problem was resolved by Dirac in the late 1920s, when he furthered the application
Relativistic_wave_equations
Interpretation of quantum mechanics
dynamical reduction models, are proposed solutions to the measurement problem in quantum mechanics. As with other interpretations of quantum mechanics
Objective-collapse_theory
Cryptography based on quantum mechanical phenomena
offers an information-theoretically secure solution to the key exchange problem. The advantage of quantum cryptography lies in the fact that it allows
Quantum_cryptography
Theorem in quantum information science
interior. This leads to more radical interpretations, such as black hole complementarity. Even though it is impossible to make perfect copies of an unknown
No-cloning_theorem
Graph of numbers differing by a square
Erdős & Rényi (1963). Sachs was interested in them for their self-complementarity properties, while Erdős and Rényi studied their symmetries. Paley digraphs
Paley_graph
Interpretation of quantum mechanics
of the set of linear subspaces of a Hilbert space, with the relations between the questions corresponding to the relations between linear subspaces. It
Relational_quantum_mechanics
Phenomenon resulting from the superposition of two waves
issue of this probability when the wavefunction is expressed as a sum or linear superposition of two terms Ψ ( x , t ) = Ψ A ( x , t ) + Ψ B ( x , t ) {\displaystyle
Wave_interference
Interaction of a quantum system with a classical observer
states can change, were developed during the 20th century and make use of linear algebra and functional analysis. Quantum physics has proven to be an empirical
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Elementary particle, fundamental constituent of matter
Nucleon magnetic moment Preons Quarkonium Quark star Quark–lepton complementarity There is also the theoretical possibility of more exotic phases of
Quark
Function of the observed sample results
the border between null and alternative. This definition ensures the complementarity of p-values and alpha-levels: α = 0.05 {\displaystyle \alpha =0.05}
P-value
Equation used in quantum scattering problems
problems. In order to embed the boundary conditions, the Lippmann–Schwinger equation must be written as an integral equation. For scattering problems
Lippmann–Schwinger_equation
Relativistic quantum mechanical wave equation
quantum mechanics. The latter demanded that the equation would have to be linear in temporal derivatives, so that it would admit a probabilistic interpretation
Dirac_equation
Mathematical structures that allow quantum mechanics to be explained
discovered the uncertainty relations and Niels Bohr introduced the idea of complementarity. Werner Heisenberg's matrix mechanics was the first successful attempt
Mathematical formulation of quantum mechanics
Mathematical_formulation_of_quantum_mechanics
Example of irrational preferences over lotteries
The Allais paradox is a choice problem designed by Maurice Allais in 1953 to show an inconsistency of actual observed choices with the predictions of
Allais_paradox
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
Boy/Male
Sikh
Love unending
Surname or Lastname
English (Devon; of Cornish origin)
English (Devon; of Cornish origin) : topographic name for someone who lived by a menhir, i.e. a tall standing stone erected in prehistoric times (Cornish men ‘stone’ + hir ‘long’).
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Surname or Lastname
English
English : habitational name from Lingart, Lancashire, or Lingards Wood in Marsden, West Yorkshire, both named from Old English līn ‘flax’ + garðr ‘enclosure’.
Male
Greek
(ΑἰνÎας) Variant spelling of Greek AineÃas, AINEAS means "praiseworthy."
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
Surname or Lastname
English
English : occupational name for a whitewasher, Middle English limer, lymer, an agent derivative of Old English līm ‘lime’.
Boy/Male
Hindu
The Sun
Girl/Female
Irish
Eimear possessed the “Six Gifts of Womanhood†– “beauty, a gentle voice, sweet words, wisdom, needlework and chastity!†She was bethrothed to the warrior Cuchulainn (read the legend) when they were children and they loved each other very deeply. But Cuchulainn had “a wandering eye†and Eimear endured this, realizing “everything new is fair,†but when he made love to Fand, wife of the sea god Manannan, Eimear confronted the lovers. After seeing the strength of Fand’s love she offered to withdraw. Touched by this display of unselfishness, Fand left Cuchulainn and returned to the sea. When Cuchulainn died Eimear spoke movingly and lovingly at his graveside.
Boy/Male
Hindu
Lingam
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
Surname or Lastname
English
English : metronymic from Line.
Surname or Lastname
English
English : variant of Lingard.French : occupational name for a maker of or dealer in linen goods, from Old French linge ‘linen (goods)’ (see Linge 1).
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Boy/Male
Irish
Meaning “â€fair-haired,â€â€ the name has been popular since the sixth century when St. Finbar came to an area of Cork that was being tormented by a serpent. The people begged him to do something to help them. One night he went to where the serpent was sleeping and sprinkled it with holy water. The angry serpent tore and devoured the land until she slithered into the sea at Cork Harbor. The track she left behind filled with water and became the River Lee and that’s why St. Finbar is the patron saint of Cork. It is said that the sun didn’t set for two weeks after Finbar’s death.
Surname or Lastname
English (Cornish)
English (Cornish) : habitational name from a place named with Cornish lan ‘church’. In England this surname is now found chiefly in the southern counties of Wiltshire and Hampshire, and Berkshire; it has no doubt moved there from Cornwall.
Surname or Lastname
Swedish
Swedish : ornamental name from lind ‘lime tree’ + either the German suffix -er denoting an inhabitant, or the surname suffix -ér, derived from the Latin adjectival ending -er(i)us.English (mainly southeastern) : variant of Lind 2.German : habitational name from any of numerous places called Linden or Lindern, named with German Linden ‘lime trees’.
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Female
English
English name probably derived from Germanic lindi, LINDA means "serpent."Â In some cases, it may have been derived from the Spanish word for "pretty."
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
Boy/Male
Indian
Radiant king
Girl/Female
Greek
Of the sea. Descendant of Dorus.
Surname or Lastname
English
English : ethnic name for someone from Flanders. In the Middle Ages there was considerable commercial intercourse between England and the Netherlands, particularly in the wool trade, and many Flemish weavers and dyers settled in England. The word reflects a Norman French form of Old French flamenc, from the stem flam- + the Germanic suffix -ing. The surname is also common in south and east Scotland and in Ireland, where it is sometimes found in the Gaelicized form Pléimeann.German : variant of Flemming, cognate with 1.
Boy/Male
Hindu, Indian, Sanskrit
Famous; Celebrated
Boy/Male
Australian, German
Counselor; Protector
Girl/Female
Hindu, Indian, Traditional
Forests
Girl/Female
Assamese, Bengali, Hindu, Indian, Kannada, Marathi, Sindhi, Tamil, Traditional
Unity; Beauty
Boy/Male
Indian
Evil spirit.
Boy/Male
Australian, German, Spanish
Form of Raymond Guards Wisely
Girl/Female
Hindu
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
LINEAR COMPLEMENTARITY-PROBLEM
a.
Of a linear shape.
a.
Serving to fill out or to complete; as, complementary numbers.
n.
Made of linen; as, linen cloth; a linen stocking.
n.
One skilled in compliments.
a.
Composed of lines; delineated; as, lineal designs.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
a.
Linear.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
a.
Formed by right lines; rectilineal; as, a right-lined angle.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.
n.
One who adjusts things to a line or lines or brings them into line.
n.
A vessel belonging to a regular line of packets; also, a line-of-battle ship; a ship of the line.
v. t.
To convert into vinegar; to make like vinegar; to render sour or sharp.
a.
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
n.
Alt. of Lingam
n.
One who lines, as, a liner of shoes.
n.
A dealer in linen; a linen draper.
adv.
In a linear manner; with lines.