Bourdieu examined how the elite in society define the aesthetic values like taste and how varying levels of exposure to these values can result in variations by class, cultural background, and education.

All three computational processes ( recursion, the λ-calculus, and the Turing machine ) were shown to be equivalent — all three approaches define the same class of functions.

In the best of times, the European social system enforced elements of endogamy, closed occupation, culture, social class, affiliation and power-all of which define any caste system.

define class < window > (< view >)

In languages such as C ++ or Java, the class would also define its interface.

The object class definitions also define the list of attributes that must contain values and the list of attributes which may contain values.

Shared classes must define a secondary constructor for each regular constructor in the class.

In classical real analysis, one way to define a real number is as an equivalence class of Cauchy sequences of rational numbers.

The notion, and notation, of " a class " ( set ): In the first edition PM asserts that no new primitive ideas are necessary to define what is meant by " a class ", and only two new " primitive propositions " called the axioms of reducibility for classes and relations respectively ( PM 1962: 25 ).

As in the other arts, the music of the period was significantly influenced by the developments which define the Early Modern period: the rise of humanistic thought ; the recovery of the literary and artistic heritage of ancient Greece and Rome ; increased innovation and discovery ; the growth of commercial enterprise ; the rise of a bourgeois class ; and the Protestant Reformation.

One can create a class that does not define any methods other than and does not inherit from any other class.

To modify the default deserialization ( for example, to automatically initialize a member marked ), the class must implement the interface and define the method.

There are no serialization methods defined on the interface, but a serializable class can optionally define methods with certain special names and signatures that if defined, will be called as part of the serialization / deserialization process.

More generally, one can define objects by transfinite recursion on any well-founded relation R. ( R need not even be a set ; it can be a proper class, provided it is a set-like relation ; that is, for any x, the collection of all y such that y R x must be a set.

Identifiable characteristics came to define, in particular, the middle class home.

Middle class women employed the media ( especially newspapers ) to communicate with each other and define their priorities.

Observations are revealing a growing number of recurrent X-ray transients, characterized by short outbursts with very fast rise times ( tens of minutes ) and typical durations of a few hours that are associated with OB supergiants and hence define a new class of massive X-ray binaries: Supergiant Fast X-ray Transients ( SFXTs ).

Marxists define economic systems in terms of how the means of production are used, and which social class controls them.

We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.

For a congruence on a ring, the equivalence class containing 0 is always a two-sided ideal, and the two operations on the set of equivalence classes define the corresponding quotient ring.

One can also define a conformal structure on a smooth manifold, as a class of conformally equivalent Riemannian metrics.

This is actually a class of languages because one can define such a language for any given operation.

The inheritance mechanism in object-oriented programming can be used to define an abstract class as the common interface.

Can also be used to define menus with complex shapes such as color palettes .</ td >

The National Firearms Act and Firearm Owners Protection Act define a " machine gun " in the United States code Title 26, Subtitle E, Chapter 53, Subchapter B, Part 1, § 5845 as:

That means, define E ≤ F if E is an initial segment of F and the ordering of the members in E is the same as their ordering in F. If E is a chain in A, then the union of the sets in E can be ordered in a way that makes it a continuation of any set in E ; this ordering is a well ordering, and therefore, an upper bound of E in A.

Since E and P are defined separately, this equation can be used to define D. The physical interpretation of D is not as clear as E ( effectively the field applied to the material ) or P ( induced field due to the dipoles in the material ), but still serves as a convenient mathematical simplification, since Maxwell's equations can be simplified in terms of free charges and currents.

In general, one can define a stereographic projection from any point Q on the sphere onto any plane E such that

E – E < sub > C </ sub >, and in particular we can define Sommerfeld's parameter ζ

For such a subgroup G, define Fix ( G ) to be the field consisting of all elements of L that are held fixed by all elements of G. Then the maps E Gal ( L / E ) and G Fix ( G ) form an antitone Galois connection.

If G, H are graphs, we define a map φ: E ( G ) —> E ( H ) to be cycle-continuous if the pre-image of every cycle of H is a cycle of G. A fascinating conjecture of Jaeger asserts that every bridgeless graph has a cycle-continuous mapping to the Petersen graph.

Today there is considerable confusion as how best to define Sir Thomas Browne's scientific methodology, described by E. J.

The isomorphisms between fibers obtained in this way will in general depend on the choice of the curve: if they do not then parallel transport along every curve can be used to define parallel sections of E over all of M. This is only possible if the curvature of ∇ is zero.

By means of a Chevalley basis for the Lie algebra, one can define E < sub > 6 </ sub > as a linear algebraic group over the integers and, consequently, over any commutative ring and in particular over any field: this defines the so-called split ( sometimes also known as “ untwisted ”) adjoint form of E < sub > 6 </ sub >.

In particular, one may define the Chern classes of E in the sense of Grothendieck, denoted by expanding this way the class, with the relation:

However, we can define the closure of any binary relation E, with respect to a fixed algebra, such that it is a congruence, in the following way:.

For an algebra, it is straightforward to define the operations induced on A / E if E is a congruence.

For a single stage we may define Af where the maximization is by choice of Af.

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.

One can also define an A-ary function where A is any set ; there is one input for each element of A.

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.

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

Still the attacks provoked efforts to define biodefense and biosecurity, where more limited definitions of biosafety had focused on unintentional or accidental impacts of agricultural and medical technologies.

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 is where the concept of a bijection comes in: define the correspondence

The Smalcald Articles were designed to sharply define where the Lutherans could and could not compromise.

First we must also define where our view point is, that is, from what vantage point will the scene be drawn.

If S is an arbitrary set, then the set S < sup > N </ sup > of all sequences in S becomes a complete metric space if we define the distance between the sequences ( x < sub > n </ sub >) and ( y < sub > n </ sub >) to be, where N is the smallest index for which x < sub > N </ sub > is distinct from y < sub > N </ sub >, or 0 if there is no such index.

in a Euclidean coordinate system where and, define

It cannot be said with certainty from where the megalithic culture of Korea originated, and therefore it is difficult to define its true cultural character.

We need a " mark " to define where we are and which direction we are heading to see if we ever get back to exactly the same pixel.

Some economy of data is possible where a frame need only rewrite a portion of the pixels of the display, because the Image Descriptor can define a smaller rectangle to be rescanned instead of the whole image.

Under the plan of the US Constitution the Congress was delegated the power to declare or define the Law of Nations in cases where its terms might be vague or indefinite.

# Prospecting or exploration to find and then define the extent and value of ore where it is located (" ore body ")

# it counts the factors that connect or link the legal issues to the laws of potentially relevant states and applies the laws that have the greatest connection, e. g. the law of nationality ( lex patriae ) or domicile ( lex domicilii ) will define legal status and capacity, the law of the state in which land is situated ( lex situs ) will be applied to determine all questions of title, the law of the place where a transaction physically takes place or of the occurrence that gave rise to the litigation ( lex loci actus ) will often be the controlling law selected when the matter is substantive, but the proper law has become a more common choice.

The name " transcendental " comes from Leibniz in his 1682 paper where he proved sin x is not an algebraic function of x. Euler was probably the first person to define transcendental numbers in the modern sense.

Hopcroft and Ullman ( 1979, p. 148 ) formally define a ( one-tape ) Turing machine as a 7-tuple where

Along with the short line, service line, and side wall these lines define the doubles box, where the non-serving doubles partner stands during the serve ; 36 inches from the side wall is another set of lines which, along with the short line and the service line, define an area that the server must not enter if he wishes to hit a drive serve between himself and the nearest side wall.

" John Minsheu ( or Minshew ) was the first lexicographer to define the word in this sense, in his Ductor in Linguas ( 1617 ), where he referred to " A Cockney or Cockny, applied only to one born within the sound of Bow bell, that is in the City of London ".

A common alternative notation is and for positive semidefinite and positive definite matrices, respectively .</ ref > The notion comes from functional analysis where positive-semidefinite matrices define positive operators.

The convention of " width " meaning " half maximum " is also widely used in signal processing to define bandwidth as " width of frequency range where less than half the signal's power is attenuated ", i. e., the power is at least half the maximum.