The complexity class PCP is the class of decision problems that have probabilistically checkable proofs with completeness 1, soundness α < 1, randomness complexity O ( log n ) and query complexity O ( 1 ).

The complexity class PCP < sub > c ( n ), s ( n )</ sub > is the class of all decision problems having probabilistically checkable proof systems over binary alphabet of completeness c ( n ) and soundness s ( n ), where the verifier is nonadaptive, runs in polynomial time, and it has randomness complexity r ( n ) and query complexity q ( n ).

The complexity class PCP is defined as PCP < sub > 1, ½ </ sub >.

The class is called PCP ( poly, poly ).

Although the most common class of pincer ligands features PCP donor sets, variations have been developed where the phosphines are replaced by thioethers and tertiary amines.

According to Moyra Grant, in political philosophy " collectivism " refers to any philosophy or system that puts any kind of group ( such as a class, nation, race, society, state, etc.

The beginning of a systematic work of organs of VCheKa in RKKA refers to July 1918, the period of extreme tension of the civil war and class struggle in the country.

In presidential systems, the term refers to a regularly-scheduled election where both the president, and either " a class " of or all members of the national legislature are elected at the same time.

" Ultra-Left " refers to those GPCR rebel positions that diverged from the central Maoist line by identifying an antagonistic contradiction between the CPC-PRC party-state itself and the masses of workers and " peasants " conceived as a single proletarian class divorced from any meaningful control over production or distribution.

* Party class refers to affiliations in the political domain.

In linguistics, the term noun class refers to a system of categorizing nouns.

Method overloading refers to methods that have the same name but different signatures inside the same class.

Democratic socialism generally refers to any political movement that seeks to establish an economy based on economic democracy by and for the working class.

In the United States, the terms working class and blue-collar may refer to employed and hard-working members of the middle-middle and lower-middle class, while the upper-middle class in the United States often refers to employment positions that require a college or graduate degree.

Given a general statement such as all ravens are black, a form of the same statement that refers to a specific observable instance of the general class would typically be considered to constitute evidence for that general statement.

This refers to a class of programs that organize and manipulate data, usually large amounts of numeric data.

As Mclellan ( 1971 ) states, ‘ it refers to class struggle mainly in the context of the struggle between capital and labour, within capitalism, rather than over its suppression ’.

Standard of living refers to the level of wealth, comfort, material goods and necessities available to a certain socioeconomic class in a certain geographic area.

In contemporary academic theories, the term bourgeoisie usually refers to the ruling class in capitalist societies.

A proper noun is a noun that in its primary application refers to a unique entity, such as London, Jupiter, Sarah, or Microsoft, as distinguished from a common noun, which usually refers to a class of entities ( cities, planets, persons, corporations ), or non-unique instances of a certain class ( a city, another planet, these persons, our corporation ).

This refers to whether a particular class of cardiac dysrhythmia is treatable using defibrillation.

The batman relationship and class differences between Sam and Frodo are somewhat subdued, though Sam still refers to Frodo as " Mr ." ( but not " Master ").

In Marxist socio-political thought, the dictatorship of the proletariat refers to a socialist state in which the proletariat, or the working class, has control of political power.

In some of these Cronquist-based systems the name Magnoliopsida ( at the rank of class ) refers to the flowering plants ( the angiosperms ).

Client-side scripting generally refers to the class of computer programs on the web that are executed client-side, by the user's web browser, instead of server-side ( on the web server ).

This is in honor of John Ledyard, class of 1773, who scooped a canoe out of a handy tree and first set the course way back in his own student days.

`` When you stand up in public and take vows to strive to set an example before your children and to teach them the fundamentals of the Christian faith, you strive a little harder to uphold those vows '', explains the slender vice president of the young couples Sunday school class.

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.

When an ATM circuit is set up each switch on the circuit is informed of the traffic class of the connection.

Although Zermelo's fix allows a class to describe arbitrary ( possibly " large ") entities, these predicates of the meta-language may have no formal existence ( i. e., as a set ) within the theory.

Each class of polymeric biomolecule has a different set of subunit types.

A generalization of the class of Horn formulae is that of renamable-Horn formulae, which is the set of formulae that can be placed in Horn form by replacing some variables with their respective negation.

Classes are usually taken to be abstract objects, like sets ; ' class ' is often regarded as equivalent, or nearly equivalent, in meaning to ' set '.

To belong to a set or class: " She could be a nurse.

The earliest and most famous example is Code of Hammurabi which set the different punishment and compensation according to the different class / group of victims and perpetrators.

* Complexity class, a set of problems of related complexity in computational complexity theory

"... hen we form a set of phenomena into a class, that is, when we compare them with one another to ascertain in what they agree, some general conception is implied in this mental operation " ( A System of Logic, Book IV, Ch.

But " having distance 0 " is an equivalence relation on the set of all Cauchy sequences, and the set of equivalence classes is a metric space, the completion of M. The original space is embedded in this space via the identification of an element x of M with the equivalence class of sequences converging to x ( i. e., the equivalence class containing the sequence with constant value x ).

This won him a television set for his school and a candy bar for everyone in his class.

Running in Fédération Internationale de l ' Automobile ( FIA ) class G, it set several new records, among them 48 hours with average speed, 10, 000 km with an average speed of and 72 hours with an average speed of.

An equivalence relation partition of a set | partitions a set into several disjoint set | disjoint subsets, called equivalence class es.

A frequent particular case occurs when f is a function from X to another set Y ; if x < sub > 1 </ sub > ~ x < sub > 2 </ sub > implies f ( x < sub > 1 </ sub >) = f ( x < sub > 2 </ sub >) then f is said to be a morphism for ~, a class invariant under ~, or simply invariant under ~.

The set of all a and b for which a ~ b holds make up an equivalence class of X by ~.