In doing so, Paul extends Habakkuk's original concept of righteous living at the present time into a future life.

In summary, the thermodynamic definition of entropy provides the experimental definition of entropy, while the statistical definition of entropy extends the concept, providing an explanation and a deeper understanding of its nature.

Clearly express questioning ( interrogation ) would qualify but the concept also extends to surreptitious attempts to acquire information from the defendant through the use of undercover agents or paid informants.

A mixture can separate into more than two liquid phases and the concept of phase separation extends to solids, i. e., solids can form solid solutions or crystallize into distinct crystal phases.

The German word for " game ", " Spiele / Spiel ", has a different sense than in English ; the meaning of " Spiele " also extends to the concept of " play " and " playing.

In mathematics, a projective plane is a geometric structure that extends the concept of a plane.

The concept of independence extends to dealing with collections of more than two events or random variables.

In Peter Drucker's ( 1998 ) new management paradigms, this concept of business relationships extends beyond traditional enterprise boundaries and seeks to organize entire business processes throughout a value chain of multiple companies.

The concept of dividing pre-historical ages into systems based on metals extends far back in European history, but the present archaeological system of the three main ages: stone, bronze and iron, originates with the Danish archaeologist Christian Jürgensen Thomsen ( 1788 – 1865 ), who placed the system on a more scientific basis by typological and chronological studies, at first of tools and other artifacts present in the Museum of Northern Antiquities in Copenhagen ( later the National Museum of Denmark ).

In philosophical semantics or the philosophy of language, the ' extension ' of a concept or expression is the set of things it extends to, or applies to, if it is the sort of concept or expression that a single object by itself can satisfy.

The concept of similarity extends to polygons with more than three sides.

Impedance extends the concept of resistance to AC circuits, and possesses both magnitude and phase, unlike resistance, which has only magnitude.

In the United States, the concept of " Homeland Security " extends and recombines responsibilities of government agencies and entities.

As part of the development of Lebesgue integration, Lebesgue invented the concept of measure, which extends the idea of length from intervals to a very large class of sets, called measurable sets ( so, more precisely, simple functions are functions that take a finite number of values, and each value is taken on a measurable set ).

A number of extensions to the original " Befunge-93 " specification also exist, most notably Funge-98, which extends the concept to an arbitrary number of dimensions and can be multithreaded, with multiple instruction pointers operating simultaneously on the same space.

* 1848 – William Thomson extends the concept of absolute zero from gases to all substances

A number of experts believe that the concept of information metabolism, cybernetic modeling and general systems theory extends beyond of psychology and sociology, and consider the relationship of technical information devices, and the types of information human interactions as operator with various technical and electronic management systems of major industries, including chemical, nuclear power stations, complex computer complexes with adaptive tunable to a specific operator interfaces.

The HORUS interconnect from Newisys extends this concept to larger clusters.

This concept extends to multivariate distributions.

Moreover, in The Ego and its Own ( 1845 ), Max Stirner extends the Feurbach analysis by arguing that even the idea of “ humanity ” is an alienating concept for the individual man and woman to intellectually consider ; Marx and Engels responded to these philosophic propositions in The German Ideology ( 1845 ).

Neoclassical economics extends the concept of rent to include factors other than natural resource rents.

In differential geometry, the exterior derivative extends the concept of the differential of a function, which is a 1-form, to differential forms of higher degree.

M extends the concept of configuration and is commonly described with reference to Petri net diagrams as a marking.

No leaf ever wholly equals another, and the concept ' leaf ' is formed through an arbitrary abstraction from these individual differences, through forgetting the distinctions ..."

In keeping with the concept of vacuous truth, when disjunction is defined as an operator or function of arbitrary arity, the empty disjunction ( OR-ing over an empty set of operands ) is often defined as having the result 0.

Yet the borders of Europe — a concept dating back to classical antiquity — are somewhat arbitrary, as the primarily physiographic term " continent " can incorporate cultural and political elements.

Once the Euclidean plane has been described in this language, it is actually a simple matter to extend its concept to arbitrary dimensions.

" Hello world " is also used by computer hackers as a proof of concept that arbitrary code can be executed through an exploit where the system designers did not intend code to be executed — for example, on Sony's PlayStation Portable.

In keeping with the concept of vacuous truth, when conjunction is defined as an operator or function of arbitrary arity, the empty conjunction ( AND-ing over an empty set of operands ) is often defined as having the result 1.

There are different generalisations of the concept of rank to matrices over arbitrary rings.

* The 8-bit byte ( against financial pressure during development to reduce the byte to 4 or 6 bits ), rather than adopting the 7030 concept of accessing bytes of variable size at arbitrary bit addresses.

As America's Founding Fathers shared a perfect horror at the concept of arbitrary courts of justice, such as those " of Philip in the Netherlands, in which life and property were daily confiscated without a jury, and which occasioned as much misery and a more rapid depopulation of the province ", they incorporated the right to trial by jury into the Bill of Rights, thereby restoring what soon-to-be United States Supreme Court Justice James Iredell described as that " noble palladium of liberty ", and protecting it from the reach of future legislators.

Liberty is generally considered a concept of political philosophy that seeks to identify the conditions in which an individual has immunity from the arbitrary exercise of authority.

The concept of ethnic origin in practice may seem arbitrary and without a rigorous definition of how to assign a person to the particular categories.

The motivation behind the concept of logarithmic units is that defining a quantity on a logarithmic scale in terms of a logarithm to a specific base amounts to making a ( totally arbitrary ) choice of a unit of measurement for that quantity, one that corresponds to the specific ( and equally arbitrary ) logarithm base that was selected.

The concept has been generalized to differential manifolds of arbitrary dimension embedded in a Euclidean space.

In this article, we consider generalizations of this concept to operators on Hilbert spaces of arbitrary dimension.

In functional analysis, the concept of an orthonormal basis can be generalized to arbitrary ( infinite-dimensional ) inner product spaces ( or pre-Hilbert spaces ).

Sudbury model democratic schools ' proponents argue that a school that has good, clear laws, fairly and democratically passed by the entire school community, and a good judicial system for enforcing these laws, is a school in which community discipline prevails, and in which an increasingly sophisticated concept of law and order develops, against other schools today, where rules are arbitrary, authority is absolute, punishment is capricious, and due process of law is unknown.

Additive functors between preadditive categories generalize the concept of ring homomorphism, and ideals in additive categories can be defined as sets of morphisms closed under addition and under composition with arbitrary morphisms.

In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring.

The concept of a field is of use, for example, in defining vectors and matrices, two structures in linear algebra whose components can be elements of an arbitrary field.

One Islamic concept concerning the structure of ruling is shura, or consultation, which is the duty of rulers mentioned in two verses in the Quran, 3: 153, and 42: 36, and contrasted by Muslims with arbitrary personal rule.

Despite its usefulness, the concept of a partial atomic charge is somewhat arbitrary, because it depends on the method used to delimit between one atom and the next ( in reality, atoms have no clear boundaries ).

Equal opportunity is a stipulation that all people should be treated similarly, unhampered by artificial barriers or prejudices or preferences, except when particular “ distinctions can be explicitly justified .” The aim according to this often " complex and contested concept " is that important jobs should go to those “ most qualified ” – persons most likely to perform ably in a given task – and not go to persons for arbitrary or irrelevant reasons, such as circumstances of birth, upbringing, friendship ties to whoever is in power, religion, sex, ethnicity, race, caste, or “ involuntary personal attributes ” such as disability, age, or sexual preferences.