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physics, a first-class constraint is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes
First-class_constraint
Topics referred to by the same term
databases Check constraint Foreign key constraint Specific types of mechanical constraints: First-class constraint and second-class constraint in Hamiltonian
Constraint
Topics referred to by the same term
First class (aviation) First class travel FirstClass (airline), was a Finnish airline First-class carriage in a railway train First-class constraint First
First_class
Quantization method for constrained Hamiltonian systems with second-class constraints
bracket developed by Paul Dirac to treat classical systems with second class constraints in Hamiltonian mechanics, and to thus allow them to undergo canonical
Dirac_bracket
Set of objects whose state must satisfy limits
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations
Constraint satisfaction problem
Constraint_satisfaction_problem
Field equation from quantum gravity
quantum mechanics, the Hamiltonian is a first-class constraint on physical states. We also have an independent constraint for each point in space. Although
Wheeler–DeWitt_equation
Computer programming paradigm
extended in 1987 a specific class of constraints that were introduced in Prolog II. The first implementations of constraint logic programming were Prolog
Constraint_programming
Parameter which a physical system must obey
types of constraints: holonomic and non-holonomic. First class constraints and second class constraints Primary constraints, secondary constraints, tertiary
Constraint_(mechanics)
Linear space of all constraints on a Hilbert space
\rangle =0.} In more general theories, the constraint algebra may be a noncommutative algebra. First class constraints Gambini, Rodolfo; Lewandowski, Jerzy;
Constraint_algebra
Class of British light cruisers
The Town class consisted of 10 light cruisers built for the Royal Navy during the 1930s. The Towns were designed within the constraints of the London Naval
Town-class_cruiser_(1936)
Type system in computer science
variables in parametrically polymorphic types. Such a constraint typically involves a type class T and a type variable a, and means that a can only be
Type_class
Logic programming with constraint satisfaction
Constraint logic programming is a form of constraint programming, in which logic programming is extended to include concepts from constraint satisfaction
Constraint_logic_programming
Mathematical formulation of special and general relativity
{\displaystyle e} . Therefore, the constraint is now a secondary constraint that is still a first class constraint, reflecting the invariance of the action
Relativistic Lagrangian mechanics
Relativistic_Lagrangian_mechanics
Concept in classical mechanics
similar to that of first- and second-class constraints. These divisions are independent: both first- and second-class constraints can be either primary
Primary_constraint
between tractable and intractable classes of constraint satisfaction problems on finite domains. Solving a constraint satisfaction problem on a finite
Complexity of constraint satisfaction
Complexity_of_constraint_satisfaction
Nuclear powered ballistic missile submarine built for Russian Navy
of the first submarine of the class, Yury Dolgorukiy (Юрий Долгорукий), was scheduled for 2002 but was delayed because of budget constraints. The vessel
Borei-class_submarine
In constraint satisfaction, a decomposition method translates a constraint satisfaction problem into another constraint satisfaction problem that is binary
Decomposition method (constraint satisfaction)
Decomposition_method_(constraint_satisfaction)
Formulation to quantize gauge field theories in physics
classical gauge theories. i.e. those that can be described with first class constraints. The more general formalism is described using the Batalin–Vilkovisky
BRST_quantization
Class of nuclear-powered fast attack submarines of the United States Navy
Angeles class of submarines are nuclear-powered fast-attack submarines (SSN) in service with the United States Navy. Also known as the 688 class (pronounced
Los_Angeles-class_submarine
Class of supercarriers for the U.S. Navy
Ford-class aircraft carrier is a class of nuclear-powered aircraft carriers built for the United States Navy to replace portions of the aging Nimitz-class
Gerald R. Ford-class aircraft carrier
Gerald_R._Ford-class_aircraft_carrier
Topics referred to by the same term
differentiability of a function Regularity conditions arise in the study of first-class constraints in Hamiltonian mechanics Regularity of an elliptic operator Regularity
Regular
Imperial Japanese Battleship class
the entirety of the program at once. Because of economic constraints, the proposal was cut first by the Navy Ministry to seven battleships and three battlecruisers
Fusō-class_battleship
Concept in mathematical optimization
constraint qualifications and it is equivalent to the optimality condition KKT or (not-MFCQ). The KKT conditions belong to a wider class of the first-order
Karush–Kuhn–Tucker_conditions
Proposed class of American super-battleships
Yamato-class battleships in terms of displacement. Preliminary design work for the Montana class began before the US entry into World War II. The first two
Montana-class_battleship
Physical quantity conserved throughout a motion
throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations
Constant_of_motion
Object-oriented programming language feature
Müller & Susumu Nishimura (2000). "Type Inference for First-Class Messages with Feature Constraints". International Journal of Foundations of Computer Science
First-class_message
Planned Indian aircraft carrier class
aircraft carrier being built for the Indian Navy. The class represents the largest warships and the first aircraft carriers to be designed and built in India
Vikrant-class aircraft carrier
Vikrant-class_aircraft_carrier
Object-oriented programming principle
supertype. The history constraint prohibits this. It was the novel element introduced by Liskov and Wing. A violation of this constraint is, for example, defining
Liskov_substitution_principle
Class of nuclear-powered fleet submarines
design and build the Seawolf class. The estimated costs of project SSN20, although great, were not considered a "constraint". However, by 1990 the Berlin
Astute-class_submarine
French warship class (2005–present)
The Mistral class is a class of five landing helicopter docks built by France. Also known as helicopter carriers, and referred to as "projection and command
Mistral-class landing helicopter dock
Mistral-class_landing_helicopter_dock
Destroyer class in the Japanese Maritime Self-Defense Forces
guided-missile destroyers (DDG). However, due to constraints such as budget, the design of the Hatsuyuki class was compelled to compromise in terms of C4I
Asagiri-class_destroyer
US Navy guided-missile destroyer class
5-inch/54-caliber Mark 45. Despite their constraints, the designers benefited from insight gained from previous classes; for example, they chose an all-steel
Arleigh_Burke-class_destroyer
Programming which all objects are created by classes
enforce class invariants—constraints on the state of the objects. A common usage of access specifiers is to separate the internal data of a class from its
Class_(programming)
Natural language processing methodology
Constraint grammar (CG) is a methodological paradigm for natural language processing (NLP). Linguist-written, context-dependent rules are compiled into
Constraint_grammar
Stealth missile destroyer class of the US Navy
The Zumwalt-class destroyer is a class of three United States Navy guided-missile destroyers designed as multi-mission stealth ships with a focus on land
Zumwalt-class_destroyer
World Wide Web Consortium standard
Shapes Constraint Language (SHACL) is a World Wide Web Consortium (W3C) standard language for describing Resource Description Framework (RDF) graphs. SHACL
SHACL
Extension to C++ templates
myFunction(Concept4 auto param) requires Concept5<T>; Concept1: A type-constraint. This kind replaces class or typename for declaring a template type parameter. When
Concepts_(C++)
Class of stealth guided missile destroyers
2021, on account of financial constraints. Anti-air warfare As part of its anti-air warfare (AAW) capabilities, the class features thirty-two Barak 8 surface-to-air
Visakhapatnam-class_destroyer
Algorithmic paradigm for constraint satisfaction or enumeration problems
Backtracking is a class of algorithms for finding solutions to some computational problems, notably constraint satisfaction or enumeration problems, that
Backtracking
Class of cutters of the U.S. Coast Guard
systems. The renovations were stopped in 2012 due to budget constraints. The first four Island-class boats commissioned were assigned to Squadron One in Miami
Island-class_patrol_boat
Autonomous artificial intelligence agent
In practice, they usually operate within human-defined objectives, constraints, and available tools. There is no standard definition of what an AI agent
AI_agent
In constraint satisfaction, local consistency conditions are properties of constraint satisfaction problems related to the consistency of subsets of variables
Local_consistency
Indian stealth guided-missile frigates
scrapped in 2021 on account of financial constraints. As part of its anti-air warfare (AAW) capabilities, the class features thirty-two Barak 8 surface-to-air
Nilgiri-class_frigate_(2019)
Destroyer class of the US Navy
The 18 Forrest Sherman-class destroyers comprised the first post-war class of US destroyers. Commissioned beginning in 1955, these ships served until
Forrest Sherman-class destroyer
Forrest_Sherman-class_destroyer
Biological factors limiting evolution
Biological constraints are factors which make populations resistant to evolutionary change. One proposed definition of constraint is "A property of a trait
Biological_constraints
Abauzit First-order fluid First-order transition First Step to Nobel Prize in Physics First class constraint First law of thermodynamics First quantization
Index_of_physics_articles_(F)
Class of British light cruisers
unfinished. Against a background of changing priorities and financial constraints, approval to complete them to a modified design was given in November
Tiger-class_cruiser
Type of game defined in mathematics
and Blue players take turns coloring the vertices of a graph, with the constraint that two vertices that are connected by an edge may not be colored differently
Hot_game
Digital database whose organization is based on the relational model of data
within the application layer. SQL implements constraint functionality in the form of check constraints. Constraints restrict the data that can be stored in
Relational_database
Australian underwater naval vessel
The Collins-class submarines are Australian-built diesel-electric submarines operated by the Royal Australian Navy (RAN). The Collins class takes its name
Collins-class_submarine
US navy catamaran
to work in calm sea states found in protected harbors, an unacceptable constraint for operational deployment. The Navy has been aware of the current ramp's
Spearhead-class expeditionary fast transport
Spearhead-class_expeditionary_fast_transport
Formulation of general relativity
more radical. The first class constraints of general relativity are the spatial diffeomorphism constraint and the Hamiltonian constraint (also known as the
Canonical_quantum_gravity
Term for socially or educationally disadvantaged group of people in India
Twenty-seven percent of reservations were recommended owing to the legal constraint that the total quantum of reservations should not exceed 50 percent. States
Other_Backward_Class
Class of large container ships
0 m) at 59 m (194 ft) beam. Handling equipment at ports was the main constraint on size, rather than the dimensions of canals or straits. The container
Triple_E-class_container_ship
Future frigate of the Royal Navy
contractor, citing the capacity constraints of its shipyards on the Clyde, which were full with the work on the new River-class patrol vessels and Type 26
Type_31_frigate
Class of German World War II-era fast battleships
The Bismarck class was a pair of fast battleships built for Nazi Germany's Kriegsmarine shortly before the outbreak of World War II. The ships were the
Bismarck-class_battleship
Class of Chinese guided-missile destroyers
The Type 052B (NATO/OSD Luyang I-class destroyer) is a class of guided-missile destroyers in the Chinese People's Liberation Army Navy Surface Force (PLAN)
Type_052B_destroyer
2017–2021 U.S. presidential administration
[since the Inauguration of Donald Trump] ... attributable to weakening constraints on the executive." Freedom House also attributed a 2019 decrease in its
First presidency of Donald Trump
First_presidency_of_Donald_Trump
British guided missile destroyer class
the smaller design allowed for more ships to be built within budget constraints, it imposed compromises in endurance, sea-keeping, and space for future
Type_42_destroyer
Class of 38 British 4-6-2 locomotives
express, subsequently named the Coronation Scot. The first ten locomotives of the Coronation class were built in a streamlined form in 1937 by the addition
LMS_Coronation_Class
British Fast battleship
German and Japanese battleships already under construction. The main constraint on the construction of any new battleships was the limited available capacity[where
HMS_Vanguard_(23)
Class of dreadnought battleship
economic constraints, only four battlecruisers and a single battleship of the Fusō class were ultimately approved by the Diet. Three more Fusō-class ships
Ise-class_battleship
Class of anti-air frigates of French Navy
of the class were both named after French admirals. Three ships were initially planned with more in a follow-on group, but budgetary constraints caused
Suffren-class_frigate
Formulation of classical mechanics
minimum, or saddle point) throughout the time evolution of the system. This constraint allows the calculation of the equations of motion of the system using
Lagrangian_mechanics
Austro-Hungarian dreadnought battleship class
The Tegetthoff class (also called the Viribus Unitis class) was a class of four dreadnought battleships built for the Austro-Hungarian Navy. Named for
Tegetthoff-class_battleship
Battleship class of the German Imperial Navy
The Bayern class was a class of four dreadnought battleships built for the German Kaiserliche Marine (Imperial Navy). The class comprised Bayern, Baden
Bayern-class_battleship
Field of artificial intelligence
representing the real world, described as classes, subclasses, slots (data values) with various constraints on possible values. Rules were good for representing
Knowledge representation and reasoning
Knowledge_representation_and_reasoning
Type of software system
and algorithms. Constraint solvers solve constraint satisfaction problems (CSPs). They support constraint programming. A constraint is a which must be
Reasoning_system
Emergency first response medical treatment
of first aid under conditions where the arrival of emergency responders or the evacuation of an injured person may be delayed due to constraints of terrain
First_aid
Class of Chinese guided missile destroyers
The Type 052 (NATO/OSD Luhu-class destroyer) is a class of destroyers developed in the People's Republic of China (PRC) for the People's Liberation Army
Type_052_destroyer
Logical problem studied in computer science
arithmetic. SMT can be thought of as a constraint satisfaction problem and thus a certain formalized approach to constraint programming. Formally speaking, an
Satisfiability modulo theories
Satisfiability_modulo_theories
Classification of stars based on spectral properties
Luminosity class 0 or Ia+ is used for hypergiants, class I for supergiants, class II for bright giants, class III for regular giants, class IV for subgiants
Stellar_classification
Generalization of "n-th" to infinite cases
{\displaystyle \emptyset } and closed under successor). The "smallest" constraint guarantees that each element of ω {\displaystyle \omega } is either
Ordinal_number
1996 film directed by Jonathan Frakes
Worlds" and had never been heavily featured in the series due to budget constraints and the fear that they would lose their scare factor. "The Borg were
Star_Trek:_First_Contact
Russian nuclear-powered destroyer
The Lider class (Russian: Лидер, lit. 'leader'), also referred to as Shkval class (Russian: шквал, lit. 'squall'), Russian designation Project 23560 Lider
Project 23560 Lider-class destroyer
Project_23560_Lider-class_destroyer
Abortive class of British Royal Navy battlecruisers
Richelieu class. As both French designs had only two turrets these were given as wide a separation as allowed by the other design constraints. Raven and
G3_battlecruiser
Concept in functional programming
which combine GADTs together with the existential data types and type class constraints. Type inference in the absence of any programmer supplied type annotation
Generalized algebraic data type
Generalized_algebraic_data_type
Computer system emulating human expert
Mistral is a registered trade mark of CESI. AI winter CLIPS Constraint logic programming Constraint satisfaction Knowledge engineering Learning classifier
Expert_system
Hardware description and hardware verification language
either in a class definition or as stand-alone variables in some lexical scope, can be assigned random values based on a set of constraints. This feature
SystemVerilog
Chinese diesel-electric submarine class
It is the China's first AIP equipped submarine family. The Type 39A class is the successor of the Type 039 submarine. The class is designed to replace
Type_039A/B/C_submarine
Set of problems in computational complexity theory
Turing machine to run forever, so decidability places the additional constraint over recognizability that the Turing machine must halt on all inputs)
Complexity_class
Constraint in diffeomorphism invariant theories
(4 November 2025). "Diffeomorphism And Gauss Constraints Are Holonomy Corrected, Maintaining A First-class Algebra In Modified Gravity". quantumzeitgeist
Diffeomorphism_constraint
Locations where civilization emerged
which also first emerged in Western Asia, which enhanced tendencies towards dense settlements, specialized occupational groups, social classes, exploitation
Cradle_of_civilization
1998 unique amphibious assault ship of the Royal Navy
Times reported that the carrier faced cancellation due to budgetary constraints. However, at approximately the same time, British forces were engaged
HMS_Ocean_(L12)
Series of subcompact luxury cars produced by Mercedes-Benz
Mercedes-Benz since 2013. The first generation was a four-door sedan based on the platform of the W176 A-Class and W246 B-Class compact cars, marketed as
Mercedes-Benz_CLA
Class of 55 two-cylinder 4-6-2 locomotives
driving wheel. Repairs to the class were undertaken at Crewe, Swindon and Doncaster Works until the financial constraints of the British Railways Modernisation
BR_Standard_Class_7
Inherent difficulty of computational problems
complexity class of counting problems (not decision problems). Classes like IP and AM are defined using Interactive proof systems. ALL is the class of all
Computational complexity theory
Computational_complexity_theory
Culture and life of wage workers
above classes. He also argued that the pre-conditions for artistic creativity were economic well-being and emancipation from material constraints. Political
Working-class_culture
Style of computer programming
can be chosen, a generic constraint can be specified. In the declaration of class SORTED_LIST below, the generic constraint dictates that any valid actual
Generic_programming
1985 novel by Eliyahu M. Goldratt
by Eliyahu M. Goldratt, a business consultant known for his theory of constraints and Jeff Cox, the author of several management-oriented novels. The Goal
The_Goal_(novel)
Hierarchy of classes of formal grammars
generate the language of all inferior classes (set inclusive). The general idea of a hierarchy of grammars was first described by Noam Chomsky in "Three
Chomsky_hierarchy
Canadian warship class (1958–1998)
the Restigouche class. Unable to convert the vessels to helicopter-carrying versions like the St. Laurents due to budget constraints, instead the Restigouches
Restigouche-class_destroyer
American politician (born 1963)
25, 2020. "Dr. Rand Paul Introduces HEMP Act to Relieve Unnecessary Constraints on Hemp Industry, Provide Transparency and Certainty" (Press release)
Rand_Paul
Information repository with multiple applications
products that provided support for knowledge-base requirements such as class-subclass relations and rules wiki. As any informational hub, the knowledge
Knowledge_base
Ability to act or change without constraint
conflict between people who think all races, religions, genders, and social classes should be equally free and people who think freedom is the exclusive right
Freedom
Declarative language
The Object Constraint Language (OCL) is a declarative language describing rules applying to Unified Modeling Language (UML) models developed at IBM and
Object_Constraint_Language
Type of electric high-speed train
has included conversion of one first-class carriage (Coach G) on the 11 coach Pendolinos to an unreserved standard class to increase capacity, adding power
British_Rail_Class_390
Class of battleships of the Royal Navy
The Colossus-class battleships were a pair of dreadnought battleships built for the Royal Navy (RN) at the end of the first decade of the 20th century
Colossus-class battleship (1910)
Colossus-class_battleship_(1910)
In constraint satisfaction, local search is an incomplete method for finding a solution to a problem. It is based on iteratively improving an assignment
Local search (constraint satisfaction)
Local_search_(constraint_satisfaction)
Artificial intelligence project
microtheory must be free from monotonic contradictions. Each microtheory is a first-class object in the Cyc ontology; it has a name that is a regular constant
Cyc
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