But first, we must define two terms so that their meaning will be clearly understood: form -- any unique sequence of alphabetic characters that can appear in a language preceded and followed by a space ; ;

To define the Kolmogorov complexity, we must first specify a description language for strings.

Others, such as the Cambridge Academic Content Dictionary, define it as the " English language as it spoken and written in England.

A maturity model may provide, for example, a place to start, the benefit of a community ’ s prior experiences, a common language and a shared vision, a framework for prioritizing actions, a way to define what improvement means for your organization.

Anthropological linguists define dialect as the specific form of a language used by a speech community.

Using the diagonal argument, it is possible to define a real number x, which is not equal to G ( n ) for any n. This means that there is a language L ' that defines x, which is undefinable in L.

A modeling language is a data modeling language to define the schema of each database hosted in the DBMS, according to the DBMS database model.

A Document Type Definition ( DTD ) is a set of markup declarations that define a document type for an SGML-family markup language ( SGML, XML, HTML ).

In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it.

As the preface says, " Not all scholars share the same set of criteria for what constitutes a ' language ' and what features define a ' dialect.

To define the behavior of the FPGA, the user provides a hardware description language ( HDL ) or a schematic design.

Functional theories of grammar differ from formal theories of grammar, in that the latter seeks to define the different elements of language and describe the way they relate to each other as systems of formal rules or operations, whereas the former defines the functions performed by language and then relates these functions to the linguistic elements that carry them out.

Translated into the language of spacetime: the straight time-like lines that define a gravity-free inertial frame are deformed to lines that are curved relative to each other, suggesting that the inclusion of gravity necessitates a change in spacetime geometry.

Most of these languages only define an upper ontology with generic concepts, whereas the domain concepts are not part of the language definition.

Some closely knit language families, and many branches within larger families, take the form of dialect continua, in which there are no clear-cut borders that make it possible to unequivocally identify, define, or count individual languages within the family.

The similarities between those languages are caused by language contact, not by chance or common origin, and are not recognized as criteria that define a language family.

While it is clear that there are innate mechanisms that enable the learning of language and define the range of languages that can be learned, it is not clear that these mechanisms in anyway resemble a human language or universal grammar.

Many language specifications define a core that must be made available in all implementations, and in the case of standardized languages this core library may be required.

Pascal has its roots in the ALGOL 60 language, but also introduced concepts and mechanisms which ( on top of ALGOL's scalars and arrays ) enabled programmers to define their own complex ( structured ) datatypes, and also made it easier to build dynamic and recursive data structures such as lists, trees and graphs.

Conversely, specifying the symmetry can define the structure, or at least clarify what we mean by an invariant, geometric language in which to discuss it ; this is one way of looking at the Erlangen programme.

Where natural language speakers use words or clitics to signal generalizations, language analysts define what they call variables that range over any element of the set of members of a group — the domain.

It is a flavor that might take a little getting used to -- not because it is unpleasant, but because the flavor is hard to define in the light of our experience with other fruits.

The DA statement is used to name and define the positions and length of fields within an area.

The number of carbon atoms is used to define the size of the alkane ( e. g., C < sub > 2 </ sub >- alkane ).

The concept of algorithm is also used to define the notion of decidability.

Programming languages are primarily intended for expressing algorithms in a form that can be executed by a computer, but are often used as a way to define or document algorithms.

:: "... prose used to define the way the Turing machine uses its head and the way that it stores data on its tape.

This concept of " corrected lime potential " to define the degree of base saturation in soils became the basis for procedures now used in soil testing laboratories to determine the " lime requirement " of soils.

Archaeological cultural units such as Ancestral Pueblo, Hohokam, Patayan or Mogollon are used by archaeologists to define material culture similarities and differences that may identify prehistoric socio-cultural units, equivalent to modern societies or peoples.

In Riemannian geometry, the metric tensor is used to define the angle between two tangents.

Solomonoff used this algorithm, and the code lengths it allows, to define a " universal probability " of a string on which inductive inference of the subsequent digits of the string can be based.

Kolmogorov used this theorem to define several functions of strings, including complexity, randomness, and information.

Aesthetic considerations such as symmetry and simplicity are used in areas of philosophy, such as ethics and theoretical physics and cosmology to define truth, outside of empirical considerations.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

A binary operation is a binary function where the sets X, Y, and Z are all equal ; binary operations are often used to define algebraic structures.

The continuous dual space can be used to define a new topology on X: the weak topology.

The International System of Units does not define units for digital information but notes that the SI prefixes may be applied outside the contexts where base units or derived units would be used.

The biotechnology industry has also been instrumental in developing molecular diagnostic devices that can be used to define the target patient population for a given biopharmaceutical.

For 3D animation Bézier curves are often used to define 3D paths as well as 2D curves for keyframe interpolation.

( In particular, the exponential map can be used to define abstract index groups.

In addition, the character metrics use a specific layout where the usual baseline is not used, and the ideographic em-square is not relevant for Bliss character designs, that use additional " earth line " and " sky line " to define the composition square.

This classification is used to define the Global 200 list of ecoregions identified by the WWF as priorities for conservation.

Historically, allegations of cannibalism were used by the colonial powers to justify the enslavement of what were seen as primitive peoples ; cannibalism has been said to test the bounds of cultural relativism as it challenges anthropologists " to define what is or is not beyond the pale of acceptable human behavior ".

Regular languages are commonly used to define search patterns and the lexical structure of programming languages.

An alternate form of ( 2 ) – the machine successively prints all n of the digits on its tape, halting after printing the n < sup > th </ sup > – emphasizes Minsky's observation: ( 3 ) That by use of a Turing machine, a finite definition – in the form of the machine's table – is being used to define what is a potentially-infinite string of decimal digits.

The difference is that the Cartesian product can be interpreted simply as a pair of items ( or a list ), whereas the tensor product, used to define a monoidal category, is suitable for describing entangled quantum states.