In a curved spacetime, the light-cones cannot all be tilted so that they are ' parallel '; this reflects the fact that the spacetime is curved and is essentially different from Minkowski space.

In vacuum regions ( those points of spacetime free of matter ), this inability to tilt all the light-cones so that they are all parallel is reflected in the non-vanishing of the Weyl tensor.

In conjunction with the world-lines of freely falling particles, the light-cones can be used to reconstruct the space – time's semi-Riemannian metric, at least up to a positive scalar factor.

However, the view that there is no causal instantaneous effect has also been proposed within the Copenhagen interpretation: in this alternate view, measurement affects our ability to define ( and measure ) quantities in the physical system, not the system itself.

This causal relationship is unidirectional ; an observable feature of an entity does not define the underlying essence ( Dar-Nimrod & Heine, 2011 ).

For some theorists ( e. g., functionalists ), who define mental states in terms of causal roles, any system that can instantiate the same pattern of causal roles, regardless of physical constitution, will instantiate the same mental states, including consciousness ( Putnam, 1967 ).

The metric captures all the geometric and causal structure of spacetime, being used to define notions such as distance, volume, curvature, angle, future and past.

Dickens not only reveals character through gesture, he makes hands a crucial element of the plot, a means of clarifying the structure of the novel by helping to define the hero's relations with all the major characters, and a device for ordering such diverse themes as guilt, pursuit, crime, greed, education, materialism, enslavement ( by both people and institutions ), friendship, romantic love, forgiveness, and redemption.

These categories surely have some objects that are " special " in a certain way, such as the empty set or the product of two topologies, yet in the definition of a category, objects are considered to be atomic, i. e., we do not know whether an object A is a set, a topology, or any other abstract concept – hence, the challenge is to define special objects without referring to the internal structure of those objects.

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

A data set has several characteristics which define its structure and properties.

* Data definition subsystem helps the user create and maintain the data dictionary and define the structure of the file in a database.

A variety of definitions exist: F. Stuart Chapin and coauthors define it as " the application of ecological science to resource management to promote long-term sustainability of ecosystems and the delivery of essential ecosystem goods and services ", while Norman Christensen and coauthors defined it as " management driven by explicit goals, executed by policies, protocols, and practices, and made adaptable by monitoring and research based on our best understanding of the ecological interactions and processes necessary to sustain ecosystem structure and function " and Peter Brussard and colleagues defined it as " managing areas at various scales in such a way that ecosystem services and biological resources are preserved while appropriate human use and options for livelihood are sustained ".

The four Industrial art works atop the support towers of the Kansas City Convention Center ( Bartle Hall ) were once the subject of ridicule but now define the night skyline near the new Sprint Center along with One Kansas City Place ( the tallest office tower structure in Missouri ), the KCTV-Tower with its hundreds of lit bulbs ( the tallest freestanding structure in Missouri ), and the Liberty Memorial, a WWI memorial and museum, which flaunts simulated flames and smoke billowing into the night skyline.

We could also define a Lie algebra structure on T < sub > e </ sub > using right invariant vector fields instead of left invariant vector fields.

Thus the welfare analysis of oligopolies is sensitive to the parameter values used to define the market's structure.

But Jean Piaget, who would better define himself as constructivist, considers structuralism as " a method and not a doctrine " because for him " there exists no structure without a construction, abstract or genetic "

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.

The modular structure made it possible to define the standard SMIL language profile and the XHTML + SMIL language profile with common syntax and standard semantics.

Uniform spaces are topological spaces with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence.

This technique ( sometimes called a system breakdown structure ) is used to define and organize the total scope of a project.

The human vocal tract is able to produce a highly variable structure of overtones, called formants, which define different vowels.

Starting from finite-dimensional vector spaces ( as objects ) and the dual functor, one can define a natural isomorphism, but this requires first adding additional structure, then restricting the maps from " all linear maps " to " linear maps that respect this structure ".

* XML schema, a way to define the structure, content and, to some extent, the semantics of XML documents

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

Using bi-Lipschitz mappings, it is possible to define a Lipschitz structure on a topological manifold, since there is a pseudogroup structure on bi-Lipschitz homeomorphisms.

Taiwan's incorporation into the Japanese political orbit brought Taiwanese aborigines into contact with a new colonial structure, determined to define and locate indigenous people within the framework of a new, multi-ethnic empire.

Historically, they were used to define gene structure and gene regulation.

That fact is very clearly illustrated in the case of the many present-day intellectuals who were Communists or near-Communists in their youth and are now so extremely conservative ( or reactionary, as many would say ) that they can define no important political conviction that does not seem so far from even a centrist position as to make the distinction between Mr. Nixon and Mr. Khrushchev for them hardly worth noting.

Here briefly in this humble tribute I have sought for some simple and succinct summation that would define the immense service of this patriot to his country.

We define these values as Af, and define g{t} in the same way for each T.

Related to this is the fact that most of the higher religions define for the individual his place in the universe and give him a feeling that he is relatively secure in an ordered, dependable universe.

In summary, while we stress that constructive engagement between anthropology and the military is possible, CEAUSSIC suggests that the AAA emphasize the incompatibility of HTS with disciplinary ethics and practice for job seekers and that it further recognize the problem of allowing HTS to define the meaning of “ anthropology ” within DoD.

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.

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.

Thus, an axiom is an elementary basis for a formal logic system that together with the rules of inference define a deductive system.

Those who uphold the original beliefs of Jacobus Arminius himself, is the common way to define Arminianism, but those of Hugo Grotius, John Wesley and others also understood the term as a sort of umbrella for a bigger alliance of ideas as well.

Braudel's work came to define a " second " era of Annales historiography and was very influential throughout the 1960s and 1970s, especially for his work on the Mediterranean region in the era of Philip II of Spain.

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

Nonetheless, Dürer still believed that truth was hidden within nature, and that there were rules which ordered beauty, even though he found it difficult to define the criteria for such a code.

In fact, Buddhism, in its fundamental form, does not define what is right and what is wrong in absolute terms for lay followers.

The C and C ++ programming languages, for example, define byte as an " addressable unit of data storage large enough to hold any member of the basic character set of the execution environment " ( clause 3. 6 of the C standard ).

The explanations below are for quick reference and do not fully or completely define the statistic ; for the strict definition, see the linked article for each statistic.

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

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.