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and ergodic theory, a Markov operator is an operator on a certain function space that conserves the mass (the so-called Markov property). If the underlying
Markov_operator
Random process independent of past history
chain mixing time Markov chain tree theorem Markov decision process Markov information source Markov odometer Markov operator Markov random field Master
Markov_chain
Matrix used to describe the transitions of a Markov chain
stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability
Stochastic_matrix
matrix, and the projection operators are to be replaced by positive operator valued measures. More precisely, a quantum Markov chain is a pair ( E , ρ )
Quantum_Markov_chain
Type of shift space studied in ergodic theory
common object of study is the Markov measure, which is an extension of a Markov chain to the topology of the shift. A Markov chain is a pair (P, π) consisting
Subshift_of_finite_type
Mathematical measure space associated to a random walk
The general setting is that of a Markov operator on a measured space, a notion which generalises the Markov operator f ↦ f ∗ μ {\displaystyle f\mapsto
Poisson_boundary
Mathematical structure that describes the dynamics in a Markovian open quantum system
quantum Markov semigroup describes the dynamics in a Markovian open quantum system. The axiomatic definition of the prototype of quantum Markov semigroups
Quantum_Markov_semigroup
Operator in analysis and probability theory
{ P t } t ≥ 0 {\displaystyle \{P_{t}\}_{t\geq 0}} a Markov semigroup of non-negative operators on L 2 ( X , μ ) {\displaystyle L^{2}(X,\mu )} , A {\displaystyle
Carré_du_champ_operator
Probability concept
A continuous-time Markov chain (CTMC) is a continuous stochastic process in which, for each state, the process will change state according to an exponential
Continuous-time_Markov_chain
Probability concept
In probability, a discrete-time Markov chain (DTMC) is a sequence of random variables, known as a stochastic process, in which the value of the next variable
Discrete-time_Markov_chain
Index of articles associated with the same name
Discrete-time Markov chain § Stationary distributions and continuous-time Markov chain § Stationary distribution, a special distribution for a Markov chain such
Stationary_distribution
Markovian quantum master equation for density matrices (mixed states)
interest can be neglected. These three approximations are called Born, Markov, and rotating wave, respectively. The weak-coupling limit derivation assumes
Lindbladian
Type of physical or mathematical property
x_{t+1}=i)} . Kolmogorov's criterion defines the condition for a Markov chain or continuous-time Markov chain to be time-reversible. Time reversal of numerous classes
Time_reversibility
Solution to a specific type of stochastic differential equation
continuity; the Markov property; the strong Markov property; the existence of an infinitesimal generator; the existence of a characteristic operator; Dynkin's
Itô_diffusion
Stochastic process
relating to stochastic processes, a Feller process is a particular kind of Markov process. Let X {\textstyle X} be a locally compact Hausdorff space with
Feller_process
Quantum algorithm in computer science
the Jones polynomial. This is done by means of the Markov trace. The "Markov trace" is a trace operator defined on the Temperley–Lieb algebra T L n ( d )
Aharonov–Jones–Landau algorithm
Aharonov–Jones–Landau_algorithm
Field of machine learning
knowledge of an exact mathematical model of the Markov decision process, and they target large Markov decision processes where exact methods become infeasible
Reinforcement_learning
Israeli mathematician (1931–2020)
study of Markov operators" Dept. of Mathematics, University of North Carolina at Chapel Hill, 1980 Shaul R. Foguel "The Ergodic theory of Markov processes"
Shaul_Foguel
Average value of a random variable
standard deviations of the expected value. However, in special cases the Markov and Chebyshev inequalities often give much weaker information than is otherwise
Expected_value
Generative AI chatbot by OpenAI
it for". The Washington Post. Gao, Catherine A.; Howard, Frederick M.; Markov, Nikolay S.; Dyer, Emma C.; Ramesh, Siddhi; Luo, Yuan; Pearson, Alexander
ChatGPT
Overview of and topical guide to machine learning
Bayesian network Dynamic Markov compression Dynamic topic model Dynamic unobserved effects model EDLUT ELKI Edge recombination operator Effective fitness Elastic
Outline_of_machine_learning
Square matrix in which each ascending skew-diagonal from left to right is constant
sequence of output data, a realization of an underlying state-space or hidden Markov model is desired. The singular value decomposition of the Hankel matrix
Hankel_matrix
Theorem
of Markov processes. In other scenarios, the closely related Lumer–Phillips theorem is often more useful in determining whether a given operator generates
Hille–Yosida_theorem
Collection of random variables
scientists. Markov processes and Markov chains are named after Andrey Markov who studied Markov chains in the early 20th century. Markov was interested
Stochastic_process
Uzbek mathematician and professor
Mukhamedov, Farrukh (2024). "Nonlinear Stochastic Operators and Associated Inhomogeneous Entangled Quantum Markov Chains". Journal of Nonlinear Mathematical
Farrukh_Mukhamedov
Concepts from linear algebra
components. This vector corresponds to the stationary distribution of the Markov chain represented by the row-normalized adjacency matrix; however, the adjacency
Eigenvalues_and_eigenvectors
Geometric algorithm
Diffusion maps exploit the relationship between heat diffusion and random walk Markov chain. The basic observation is that if we take a random walk on the data
Diffusion_map
Quantum variations of random walks
walks is through continuous-time Markov chains. Unlike the coin-based mechanism used in discrete-time random walks, Markov chains do not rely on a coin flip
Quantum_walk
Generalization of the Bernoulli process to more than two possible outcomes
Bernoulli shift. This is essentially the Markov partition. The term shift is in reference to the shift operator, which may be used to study Bernoulli schemes
Bernoulli_scheme
Quantum search algorithm
Attacking Cryptographic Systems (SHARCS '09). 09: 105–117. Viamontes G.F.; Markov I.L.; Hayes J.P. (2005), "Is Quantum Search Practical?" (PDF), Computing
Grover's_algorithm
bound of Mf. For an integrable function, it corresponds to the elementary Markov inequality; however, Mf is never integrable, unless f = 0 almost everywhere
Maximal_function
Property of measure-preserving dynamical systems
ergodic for the shift map. Another important case is that of a stationary Markov chain, which is discussed in detail below. A similar interpretation holds
Ergodicity
}}X(t)>0\\\max(r_{i},0)&{\text{ if }}X(t)=0.\end{cases}}} The operator is a continuous time Markov chain and is usually called the environment process, background
Fluid_queue
German mathematician
of the transfer operator approach to metastability that has led to the development of widely used computational methods like Markov state models in molecular
Christof_Schütte
Condition for a mathematical function to map some value to itself
proves the existence of two fixed points Ryll-Nardzewski fixed-point theorem Markov–Kakutani fixed-point theorem Schauder fixed-point theorem Topological degree
Fixed-point_theorem
Branch of functional analysis
functions is achieved by applying Riesz-Markov, as above. In this formulation, T can be a normal operator. Given an operator T, the range of the continuous functional
Borel_functional_calculus
Construction in functional analysis, useful to solve differential equations
preceding comments can be extended to the unbounded self-adjoint operators since Riesz-Markov holds for locally compact Hausdorff spaces. In quantum mechanics
Decomposition of spectrum (functional analysis)
Decomposition_of_spectrum_(functional_analysis)
Mathematical framework for identifying causal effects
remove do-operators through algebraic manipulations. The rules apply to a causal graph G {\displaystyle {\mathcal {G}}} and assume the Markov condition
Do-calculus
2014 to 2018. Sarig has developed methods using transfer operators to study countable Markov shifts and symbolic dynamics in smooth ergodic theory. His
Omri_Sarig
Medium tank/Main battle tank
Obozreniye Bronetankovoj Tekhniki (1905–1995 gg.) Bastion Nevskij 269-71 Markov, David Andrew Hull, Steven Zaloga Soviet/Russian Armor and Artillery Design
T-54/T-55 operators and variants
T-54/T-55_operators_and_variants
Probabilistic problem-solving algorithm
parameterized, mathematicians often use a Markov chain Monte Carlo (MCMC) sampler. The central idea is to design a judicious Markov chain model with a prescribed
Monte_Carlo_method
Concept in computability theory
unbounded search operator is related to Markov's principle. In the following x represents the string xi, ..., xn. The bounded μ-operator can be expressed
Mu_operator
Generalization of the concept from statistical mechanics
corpus linguistics and artificial intelligence, which employ Markov networks, and Markov logic networks. The Gibbs measure is also the unique measure
Partition function (mathematics)
Partition_function_(mathematics)
Branch of probability theory
superposition of renewal processes can be studied as a special case of Markov renewal processes. Applications include calculating the best strategy for
Renewal_theory
Stochastic matrix representing links between entities
mathematically well defined and it belongs to the class of Markov chains and the class of Perron-Frobenius operators. That makes S suitable for the PageRank algorithm
Google_matrix
Algorithm that estimates unknowns from a series of measurements over time
systems discretized in the time domain. They are modeled on a Markov chain built on linear operators perturbed by errors that may include Gaussian noise. The
Kalman_filter
Markov additive process Markov blanket / Bay Markov chain mixing time / (L:D) Markov decision process Markov information source Markov kernel Markov logic
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Probabilistic graphical representation of causal relationships
ideas may be applied to undirected, and possibly cyclic, graphs such as Markov networks. Suppose we want to model the dependencies between three variables:
Bayesian_network
Mathematical function
or stochastic processes. The most important example of kernels are the Markov kernels. Let ( S , S ) {\displaystyle (S,{\mathcal {S}})} , ( T , T ) {\displaystyle
Transition_kernel
Dutch mathematician
Leo Klein Haneveld (1996). Machines Served by a Patrolling Operator. 1957 On the use of Markov processes in one-server waiting-time problems and renewal
Johannes_Runnenburg
Function over linear operators
trace. Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function. The partial trace has applications in
Partial_trace
Study of speech signals and the processing methods of these signals
the dominant speech processing strategy started to shift away from Hidden Markov Models towards more modern neural networks and deep learning. In 2012, Geoffrey
Speech_processing
Theorem in linear algebra
theorem has important applications to probability theory (ergodicity of Markov chains); to the theory of dynamical systems (subshifts of finite type);
Perron–Frobenius_theorem
1965 Soviet science fiction film
Barabashev - Scientific Consultant V. A. Fedoretc A. V. Markov - Scientific Consultant V. L. Kozlov M. N. Markov V. S. Troitsky - Scientific Consultant V. V. Sharonov
Luna_(1965_film)
Technique for the generative modeling of a continuous probability distribution
efficiency and quality. There are various equivalent formalisms, including Markov chains, denoising diffusion probabilistic models, noise conditioned score
Diffusion_model
Anti-tank weapon
(2003). Russia's Chechen War. Routledge. ISBN 978-1-134-43250-9. Hull, A.W., Markov, D.R., Zaloga, S.J. (1998). Soviet/Russian Armor and Artillery Design Practices
9K111_Fagot
Mathematical form
functional analysis, Dirichlet forms generalize the Laplacian (the mathematical operator on scalar fields). Dirichlet forms can be defined on any measure space
Dirichlet_form
Book by Claude Dellacherie and Paul-André Meyer
du champ operator, and Lévy systems. Volume 5 is titled Markov processes (the end), and covers excessive measures, time reversal of Markov processes
Probabilities_and_Potential
Constant in Riemannian geometry
only in Riemannian geometry and global analysis, but also in the theory of Markov chains and in graph theory, where they have inspired the analogous Cheeger
Cheeger_constant
Stochastic differential equation
process (i.e. a continuous-time Markov process satisfying certain regularity conditions) is a Fourier multiplier operator that encodes a great deal of information
Infinitesimal generator (stochastic processes)
Infinitesimal_generator_(stochastic_processes)
Theorem relating unitary operators to one-parameter Lie groups
analysis that establishes a one-to-one correspondence between self-adjoint operators on a Hilbert space H {\displaystyle {\mathcal {H}}} and one-parameter
Stone's theorem on one-parameter unitary groups
Stone's_theorem_on_one-parameter_unitary_groups
Topics referred to by the same term
finding content on digital media servers Discrete memoryless channel Dynamic Markov Compression algorithm Dynamic Mesh Communication, a mesh-based intercom
DMC
Model in probability theory
martingale inequality Doob–Meyer decomposition theorem Local martingale Markov chain Markov property Martingale (betting system) Martingale central limit theorem
Martingale (probability theory)
Martingale_(probability_theory)
Anti-tank missile
(2003). Russia's Chechen War. Routledge. ISBN 978-1-134-43250-9. Hull, A.W., Markov, D.R., Zaloga, S.J. (1999). Soviet/Russian Armor and Artillery Design Practices
9K115_Metis
transition matrix of a finite-state, discrete-time, reversible stationary Markov chain. It can be seen as a special case of Cheeger inequalities in expander
Cheeger_bound
Soviet and Russian medium-range trijet airliner
1980s. The first project chief was Sergey Yeger [ru]; in 1964, Dmitryi S. Markov [ru] assumed that position. In 1975, the project lead role was turned over
Tupolev_Tu-154
computational statistics, the preconditioned Crank–Nicolson algorithm (pCN) is a Markov chain Monte Carlo (MCMC) method for obtaining random samples – sequences
Preconditioned Crank–Nicolson algorithm
Preconditioned_Crank–Nicolson_algorithm
Soviet armored personnel carrier
Armored Vehicles. Hong Kong: Concord Publications. ISBN 962-361-013-0. Hull/Markov/Zaloga (1999). Soviet/Russian Armor and Artillery Design Practices: 1945
BTR-80
They have been applied to the following fields: solving Markov decision processes and Markov chains for machine learning, transfer learning, value function
Diffusion_wavelets
Type of machine learning model
files, blocking user-agents and filtering suspicious traffic. Website operators have resorted to novel methods such as AI tarpits, but some fear that
Large_language_model
Mathematical concept
Control, like Ho and Kalman, Silverman and Youla and Tissi, to store the Markov parameters of an LTI system into a finite dimensional Hankel matrix and
Subspace identification method
Subspace_identification_method
Measure in decision theory
for all states of a Markov chain. Further, Katehakis and Veinott demonstrated that the index is the expected reward of a Markov decision process constructed
Gittins_index
Machine learning software library
for Python by allowing users to define models, control flow, and custom operators using native Python syntax. Unlike graph-based frameworks that require
MindSpore
System for reasoning about vagueness
direction was made by E. S. Santos by the notions of fuzzy Turing machine, Markov normal fuzzy algorithm and fuzzy program (see Santos 1970). Successively
Fuzzy_logic
Quantum mechanical system that interacts with a quantum-mechanical environment
describing implicitly through system operators V n {\displaystyle V_{n}} the influence of the bath on the system. The Markov property imposes that the system
Open_quantum_system
Finite difference equation
the Poisson equation. In it, the discrete Laplace operator takes the place of the Laplace operator. The discrete Poisson equation is frequently used in
Discrete_Poisson_equation
assignment problem. The framework introduces a novel approach to solving Markov decision processes (MDP) and reinforcement learning problems, using multiscale
Proto-value_function
Idealization of a large number of atomic-sized systems
full set of possible states. For example, a collection of walkers in a Markov chain Monte Carlo iteration is called an ensemble in some of the literature
Ensemble (mathematical physics)
Ensemble_(mathematical_physics)
Projection of data onto lower-dimensional manifolds
diffusion and a random walk (Markov Chain); an analogy is drawn between the diffusion operator on a manifold and a Markov transition matrix operating on
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
Stochastics Journal of Applied Probability Journal of Theoretical Probability Markov Processes and Related Fields Methodology and Computing in Applied Probability
List_of_probability_journals
Soviet assault gun
Power, (Corgi 1982), p. 203-204 Zaloga, Steven J., Hull, Andrew W. and Markov, David R. (1999). Soviet/Russian Armor and Artillery Design Practices: 1945
ASU-85
Branch of mathematics that studies dynamical systems
the results of Eberhard Hopf for Riemann surfaces of negative curvature. Markov chains form a common context for applications in probability theory. Ergodic
Ergodic_theory
Mathematical concept
state random dynamical system; some elementary contradistinctions between Markov chain and random dynamical system descriptions of a stochastic dynamics
Random_dynamical_system
Study of Boolean functions via discrete Fourier analysis
the noise operator can also be defined using a continuous-time Markov chain in which each bit is flipped independently with rate 1. The operator T ρ {\displaystyle
Analysis_of_Boolean_functions
More specifically, PSL uses "soft" logic as its logical component and Markov random fields as its statistical model. PSL provides sophisticated inference
Probabilistic_soft_logic
Russian mathematician and computer scientist
1960 under the supervision of Andrei Andreevich Markov. His dissertation was called "Algorithmic Operators on Constructive Complete Separable Metric Spaces"
Grigori_Tseitin
follows from the Riesz–Markov–Kakutani representation theorem. Let M {\displaystyle M} be a C*-algebra (more generally, an operator system in a C*-algebra
Positive_linear_functional
Anti-tank gun
125 mm gun - Soviet–Russian tank-mounted List of Soviet tanks Hull, A.W., Markov, D.R., Zaloga, S.J. (1999). Soviet/Russian Armor and Artillery Design Practices
Sprut_anti-tank_gun
Mathematical operation
(PDF) on 2011-08-09 Burleson, Donald R., Computing the square root of a Markov matrix: eigenvalues and the Taylor series Denman, Eugene D.; Beavers, Alex
Square_root_of_a_matrix
Matrix with no negative elements
ISBN 0-471-83966-3. OCLC 1150971811. Seneta, E. (1981). Non-negative matrices and Markov chains. Springer Series in Statistics (2nd ed.). Springer. doi:10.1007/0-387-32792-4
Nonnegative_matrix
Descriptor of computer vision
implementation for motion detection as well as a new LBP operator variant combined with Markov Random Fields with improved recognition rates and robustness
Local_binary_patterns
Russian third-generation main battle tank
ISSN 0004-2420, PB-17-98-4, retrieved 4 March 2022 Zaloga, Steven J.; Markov, David (2000). Russia's T-80U Main Battle Tank. Hong Kong: Concord. ISBN 962-361-656-2
T-90
One of several equivalent definitions of a computable function
functions of lambda calculus and the functions that can be computed by Markov algorithms. The subset of all total recursive functions with values in {0
General_recursive_function
(eds.). Large Deviations for Additive Functionals of Markov Chains: The 25th Great Plains Operator Theory Symposium, June 7–12, 2005, University of Central
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Rule for estimating the mean of a dataset
possible because the James–Stein estimator is biased, so that the Gauss–Markov theorem does not apply. Similar to the Hodges' estimator, the James-Stein
James–Stein_estimator
Type of Monte Carlo algorithms for signal processing and statistical inference
objective is to compute the posterior distributions of the states of a Markov process, given the noisy and partial observations. The term "particle filters"
Particle_filter
Anti-tank gun
(2014–present) Hull, Markov & Zaloga 1999, p. VI-14. Hull, Markov & Zaloga 1999, p. VI-13. Soviet Towed Anti-Tank Guns 2020. Hull, Markov & Zaloga 1999, p
MT-12
Season of television series
Rosa and second-in-command of Magyar Ultra Daniel Cerqueira as Dr. Kamil Markov, a Chechen chemical weapons scientist Peter Firth as Milos Borisovich, a
Strike_Back:_Retribution
Anti-tank missile
1117–1118. ISBN 978-1-134-64675-3. Jones & Ness 2010, p. 917. Hull, A.W.; Markov, D.R.; Zaloga, S.J. (1999). Soviet/Russian Armor and Artillery Design Practices
9M14_Malyutka
Regularization technique for ill-posed problems
uncorrelatedness of errors, and if one still assumes zero mean, then the Gauss–Markov theorem entails that the solution is the minimal unbiased linear estimator
Ridge_regression
MARKOV OPERATOR
MARKOV OPERATOR
Boy/Male
Russian
Of Mars; the god of war.
Surname or Lastname
English and Jewish (Ashkenazic)
English and Jewish (Ashkenazic) : patronymic from the personal name Mark.
Male
Hebrew
(יַעֲקׄב) Variant spelling of Hebrew Yaaqob, YAAKOV means "supplanter."Â
Male
Finnish
Finnish form of Greek Markos, MARKKU means "defense" or "of the sea."
Surname or Lastname
English
English : from a pet form of the personal name Mary (Marie) or possibly sometimes from a pet form of the much less common male personal name Mark 1.Jewish (eastern Ashkenazic) : patronymic from the Yiddish personal name Marke, a variant of Mark.
Male
Spanish
Portuguese and Spanish form of Latin Marcus, MARCOS means "defense" or "of the sea."
Male
Italian
Italian and Spanish form of Latin Marius, MARIO means "male, virile."
Female
Japanese
(舞å) Japanese name MAIKO means "dancing child."
Female
English
English variant spelling of French Margot, MARGO means "pearl."
Female
Japanese
(真里å) Japanese name MARIKO means "true village child."
Male
English
 English form of Latin Marcus, MARKUS means "defense" or "of the sea." Compare with another form of Markus.
Male
Greek
(ΜάÏκος) Greek form of Latin Marcus, MARKOS means "defense" or "of the sea." In the New Testament bible, this is the name of the author of the second Gospel.
Female
English
Pet form of French Marguerite, MARGOT means "pearl."
Male
German
 Serbian and Slovene form of Greek Markos, MARKO means "defense" or "of the sea." Also in use by the Basques, Bulgarians, Dutch, Finnish, Germans, and Romani. Compare with another form of Marko.
Surname or Lastname
English and Dutch
English and Dutch : patronymic from Mark 1.English : variant of Mark 2.German and Jewish (western Ashkenazic) : reduced form of Markus, German spelling of Marcus (see Mark 1).
Surname or Lastname
English
English : variant spelling of Marks.
Male
German
 German form of Latin Marcus, MARKUS means "defense" or "of the sea." Compare with another form of Markus.
Surname or Lastname
English
English : topographic name for someone who lived by a market, Middle English market.
Male
English
 Pet form of English Mark, MARKO means "defense" or "of the sea." Compare with another form of Marko.
Male
English
Probably an English contraction of French Marcelon, MARLON means "little one of the sea." This name was first brought to public attention by the American actor Marlon Brando whose family is said to be of French descent.Â
MARKOV OPERATOR
MARKOV OPERATOR
Male
English
Variant spelling of English Daren, DARIN means "from Araines."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Son of Vasudeva
Boy/Male
Arabic, Hindu, Indian, Muslim
Good Boy
Surname or Lastname
English
English : habitational name from Kersey in Suffolk, recorded in Domesday Book as Careseia, probably from Old English cærs ‘watercress’ + ēg ‘island’, ‘area of dry land in a marsh’.
Girl/Female
Arabic, Indian
Incurable Price
Male
Spanish
Spanish form of Latin Leo, LEÓN means "lion."
Boy/Male
Arabic, Muslim
Brilliant
Male
Irish
Variant spelling of Irish Gaelic Alsandair, ALSANDARE means "defender of mankind."
Boy/Male
Indian, Sanskrit
Radiant; Beaming; Praising
Boy/Male
Muslim
Light of the prophet Muhammad
MARKOV OPERATOR
MARKOV OPERATOR
MARKOV OPERATOR
MARKOV OPERATOR
MARKOV OPERATOR
n.
The privelege granted to a town of having a public market.
n.
One who or that which marks.
a.
Having the color called maroon. See 4th Maroon.
v. t.
To leave a trace, scratch, scar, or other mark, upon, or any evidence of action; as, a pencil marks paper; his hobnails marked the floor.
n.
An explosive shell. See Marron, 3.
n.
An opportunity for selling anything; demand, as shown by price offered or obtainable; a town, region, or country, where the demand exists; as, to find a market for one's wares; there is no market for woolen cloths in that region; India is a market for English goods.
v. t.
To fill with, or as with, marrow of fat; to glut.
a.
Having ripple marks.
v. t.
To expose for sale in a market; to traffic in; to sell in a market, and in an extended sense, to sell in any manner; as, most of the farmes have marketed their crops.
n.
A public place (as an open space in a town) or a large building, where a market is held; a market place or market house; esp., a place where provisions are sold.
n.
The soldier who forms the pilot of a wheeling column, or marks the direction of an alignment.
imp. & p. p.
of Mark
a.
A chestnut color; maroon.
n.
Exchange, or purchase and sale; traffic; as, a dull market; a slow market.
v. i.
To deal in a market; to buy or sell; to make bargains for provisions or goods.
v. t.
To be a mark upon; to designate; to indicate; -- used literally and figuratively; as, this monument marks the spot where Wolfe died; his courage and energy marked him for a leader.
a.
Designated or distinguished by, or as by, a mark; hence; noticeable; conspicuous; as, a marked card; a marked coin; a marked instance.
n.
The price for which a thing is sold in a market; market price. Hence: Value; worth.
v. t.
To put a mark upon; to affix a significant mark to; to make recognizable by a mark; as, to mark a box or bale of merchandise; to mark clothing.
n.
A number or other character used in registring; as, examination marks; a mark for tardiness.