* Signed measure, in mathematics, a generalization of the concept of a measure that is allowed to have negative values

A multifunctor is a generalization of the functor concept to n variables.

A generalization ( or generalisation ) of a concept is an extension of the concept to less-specific criteria.

Of any two related concepts, such as A and B, A is considered a " generalization " of concept B if and only if:

When the mind makes a generalization, it extracts the essence of a concept based on its analysis of similarities from many discrete objects.

One method of refinement is generalization, for example widening the scope of a concept.

They were a generalization of the concept of ideal numbers developed by Ernst Kummer.

They are a generalization of the concept of a straight line in the plane.

This generalization of the concept of slope allows very complex constructions to be planned and built that go well beyond static structures that are either horizontals or verticals, but can change in time, move in curves, and change depending on the rate of change of other factors.

* The gradient is a generalization of the concept of slope for functions of more than one variable.

The equicontinuity of a set of functions is a generalization of the concept of uniform continuity.

In some respects, a system virtual machine can be considered a generalization of the concept of virtual memory that historically preceded it.

Memory virtualization is a generalization of the concept of virtual memory.

In mathematics, a distance function or metric is a generalization of the concept of physical distance.

Although physical modelling was not a new concept in acoustics and synthesis, having been implemented using finite difference approximations of the wave equation by Hiller and Ruiz in 1971, it was not until the development of the Karplus-Strong algorithm, the subsequent refinement and generalization of the algorithm into the extremely efficient digital waveguide synthesis by Julius O. Smith III and others, and the increase in DSP power in the late 1980s that commercial implementations became feasible.

* In semantics and discourse analysis: A generalization of the concept of conversation within all modalities and contexts.

Thus the concept of a random function is one example of a random element and hence is a generalization of the simpler idea of a random variable.

The generalization can be said to be the concept of divisibility in any integral domain.

Henri Léon Lebesgue ForMemRS (; June 28, 1875 – July 26, 1941 ) was a French mathematician most famous for his theory of integration, which was a generalization of the 17th century concept of integration — summing the area between an axis and the curve of a function defined for that axis.

* The kernel in category theory is a generalization of this concept to morphisms rather than mappings between sets.

This is a generalization of the kernel concept above to the case when there is no neutral element.

Orthogonality is a concept that has undergone a huge amount of generalization in mathematics, science, and engineering over the many centuries of time since the Ancient Babylonians, Ancient Egyptians, and Ancient Greeks.

) It is one of the first attempts at creating a quantum information theory, showing that Shannon information theory cannot directly be generalized to the quantum case, but rather that it is possible to construct a quantum information theory, which is a generalization of Shannon's theory, within the formalism of a generalized quantum mechanics of open systems and a generalized concept of observables ( the so-called semi-observables ).

Historically, however, the concept is one that has been of marked benefit to the people of the Western civilizational group.

But it is more than irony: one of the main reasons why nationalism is no longer a tenable concept is because it has spread throughout the planet.

It is interesting, however, that despite this strong upsurge in Southern writing, almost none of the writers has forsaken the firmly entrenched concept of the white-suited big-daddy colonel sipping a mint julep as he silently recounts the revenue from the season's cotton and tobacco crops ; ;

This concept has stimulated much basic research concerning the behavior of particulate biological materials, the pathogenesis of respiratory infections, the medical management of such diseases and defense against their occurrence.

271 - 307 ) indicate, that the concept of function in sociology has been built up from physiological and biological models, in which the notions of teleology, i.e., metaphysical purpose, are central.

Society here and abroad has been built around the dominating male -- even the Bible appears to endorse the concept.

The concept has a long history in philosophical and ethical thought.

Semantic ambiguity arises when a word or concept has an inherently diffuse meaning based on widespread or informal usage.

The concept that matter is composed of discrete units and cannot be divided into arbitrarily tiny quantities has been around for millennia, but these ideas were founded in abstract, philosophical reasoning rather than experimentation and empirical observation.

As a formal concept, the method has variously been ascribed to Alhazen, René Descartes ( Discourse on the Method ) and Galileo Galilei.

JBK has pushed the concept of " regional " heathenry as opposed to national " internet heathenry ", and has formed an active network of " Midwest Tribes " which if organized would be one of the largest organizations in America, regularly drawing attendance of over 200 to their yearly event ( Lighting Across the Plains ).

The desire to create air portable armoured vehicles that can still take on conventional MBTs has usually resulted ATGM armed light vehicles or in protected / armoured / mobile gun system style vehicles in which a lack of armour protection being in part offset by the provision of a first look / first hit / first kill capability through the mating of a powerful gun to superior targeting electronics, a concept similar in operation to that of the US tank destroyers of WWII.

Although this concept remains a guiding principle of the profession, it is a concept that has been widely critiqued within the conservation profession and is now considered by many to be " a fuzzy concept ".

A discussion of every disease caused by modification of the various apoptotic pathways would be impractical, but the concept overlying each one is the same: the normal functioning of the pathway has been disrupted in such a way as to impair the ability of the cell to undergo normal apoptosis.

The name has been extended to many other entities, and the concept of a protective shield is found in other mythologies, while its form varies across sources.

He has recently married an 18-year-old trophy wife, Anne, a vain girl who is in love with Fredrik, but too immature to grasp the concept of marriage.

Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.

The concept of a secular day of rest, not directly related to a religious day of rest, has been cited as justification for retention of restrictions on commercial activity on Sunday.

Some philosophers deny that the concept of " being " has any meaning at all, since we only define an object's existence by its relation to other objects, and actions it undertakes.

The concept has fallen into disuse in Australia.

Schaefer ’ s concept of " vocality " offers neither a compromise nor a synthesis of the views which see the poem as on the one hand Germanic, pagan, and oral and on the other Latin-derived, Christian, and literate, but, as stated by Monika Otter: "... a ' tertium quid ', a modality that participates in both oral and literate culture yet also has a logic and aesthetic of its own.

The defining characteristic of the battle as a concept in Military science has been a dynamic one through the course of military history, changing with the changes in the organisation, employment and technology of military forces.