The generalization of the " cost the limit of price " principle ( obtainable by the " reciprocal transparent cost price " golden rule ) and its concurrence, makes the intrinsic " surplus " from the productivity, without having any form of profit, gets the form of purchasing power per currency unit, so that among the possible consequences are: a lesser need of money to live, deflation, distributed investment power among consumers.

The axiom of choice can be seen as asserting the generalization of this property, already evident for finite collections, to arbitrary collections.

The maximum satisfiability problem, an FNP generalization of SAT, asks for the maximum number of clauses which can be satisfied by any assignment.

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality ( size ) of sets.

* n-ellipse, a generalization of the ellipse for n foci

* an extension / generalization for functions of multiple dimensions, such as images.

The approach based on the Einstein's mobility and Teorell formula gives the following generalization of Fick's equation for the multicomponent diffusion of the perfect components:

The generalization of this statement, namely that the laws of special relativity hold to good approximation in freely falling ( and non-rotating ) reference frames, is known as the Einstein equivalence principle, a crucial guiding principle for generalizing special-relativistic physics to include gravity.

This extension of the definition is also compatible with the generalization for commutative rings given below.

A generalization of the gradient for functions on a Euclidean space that have values in another Euclidean space is the Jacobian.

A further generalization for a function from one Banach space to another is the Fréchet derivative.

The general theory for Lie groups deals with semidirect products of the two types, by means of general results called Mackey theory, which is a generalization of Wigner's classification methods.

The process of verification is necessary to determine whether a generalization holds true for any given situation.

For instance, animal is a generalization of bird because every bird is an animal, and there are animals which are not birds ( dogs, for

* Connect ( m, n, k, p, q ) games are another generalization of gomoku to a board with m × n intersections, k in a row needed to win, p stones for each player to place, and q stones for the first player to place for the first move only.

This is called the exponential map, and it maps the Lie algebra into the Lie group G. It provides a diffeomorphism between a neighborhood of 0 in and a neighborhood of e in G. This exponential map is a generalization of the exponential function for real numbers ( because R is the Lie algebra of the Lie group of positive real numbers with multiplication ), for complex numbers ( because C is the Lie algebra of the Lie group of non-zero complex numbers with multiplication ) and for matrices ( because M < sub > n </ sub >( R ) with the regular commutator is the Lie algebra of the Lie group GL < sub > n </ sub >( R ) of all invertible matrices ).

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

( e. g. LIDAR mapping ) but in fact it is not mapping because a map is created through some cartographic works ( i. e. determining the scale / level of detail and content of geographic or cartographic database, entry criteria and symbol specification for geospatial objects, generalization, layout design etc .).

This is a generalization of Heron's formula for the area of a triangle.

marginal costs and there will be zero profits .. A generalization of the Bertrand model is the Bertrand-Edgeworth Model that allows for capacity constraints and more general cost functions.

Many order theoretical definitions for partially ordered sets can be generalized to preorders, but the extra effort of generalization is rarely needed.

The apparent paradox is caused by a hasty generalization, for if the surgeon is the boy's father, the statement cannot be true.

No generalization of these results to spaces of more than three dimensions has so far been found possible.

Enumerative graph theory then rose from the results of Cayley and the fundamental results published by Pólya between 1935 and 1937 and the generalization of these by De Bruijn in 1959.

The generalization of these three properties to more abstract vector spaces leads to the notion of norm.

Using these coefficients gives the Taylor polynomial of f. The Taylor polynomial of degree d is the polynomial of degree d which best approximates f, and its coefficients can be found by a generalization of the above formulas.

The model is a generalization that applies to these countries as a group and may not accurately describe all individual cases.

If X is an algebraic variety carrying the Zariski topology, we can define a locally ringed space by taking O < sub > X </ sub >( U ) to be the ring of rational functions defined on the Zariski-open set U which do not blow up ( become infinite ) within U. The important generalization of this example is that of the spectrum of any commutative ring ; these spectra are also locally ringed spaces.

Peirce's appreciation of these three dimensions serves to flesh out a physiognomy of inquiry far more solid than the flatter image of inductive generalization < span lang = la > simpliciter </ span >, which is merely the relabeling of phenomenological patterns.

Monoidal categories can be seen as a generalization of these and other examples.

Today, these dualities are usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras.

The Act also lists substances called prohormones, qualifying them as anabolic steroids, yet these substances were mainly included in the list due to the generalization of the definition of anabolic steroids which makes it currently impossible to synthesize any further substances linked with testosterone for the needs of athlete supplementation.

The peculiarity of the tetration among these operations is that the first three ( addition, multiplication and exponentiation ) are generalized for complex values of n, while for tetration, no such regular generalization is yet established ; and tetration is not considered an elementary function.

Disquotationalists are able to explain the existence and usefulness of the truth predicate in such contexts of generalization as " John believes everything that Mary says " by asserting, with Quine, that we cannot dispense with the truth predicate in these contexts because the convenient expression of such generalization is precisely the role of the truth predicate in language.

But the development and generalization of disciplinary mechanisms constituted the other, dark side of these processes.

There are alternative generalization in L-theory: the signature can be interpreted as the 4k-dimensional ( simply-connected ) symmetric L-group or as the 4k-dimensional quadratic L-group and these invariants do not always vanish for other dimensions.

A further generalization of these methods by James Glazier and Francois Graner, known as the cellular Potts model, has been used to simulate static and kinetic phenomena in foam and biological morphogenesis.

Indeed, the initial topology construction can be viewed as a generalization of these.

However, Pinker shows research showing these sorts of generalization to be exceedingly rare in comparison to the overapplication of regular past tense rules (" add '- ed '") to words with irregular past tenses.

These energy levels can be calculated with reasonable accuracy using the Einstein – Brillouin – Keller method, which is also the basis of the Bohr model of atomic hydrogen .< ref name =" knudson_2006 " >< ref name =" strand_1979 " > More recently, as explained further in the quantum-mechanical version, analytical solutions to the eigenenergies have been obtained: these are a generalization of the Lambert W function.

The generalization of " pig " to a ( potential ) member of two classes " winged things " and " blue things " means that it has a truth-relationship with both of these classes.

A common generalization of these two concepts is given by the Grothendieck group of an exact category.

Cauchy boundary conditions are the generalization of these type of conditions.

So far from being content, like Hobbes, to make a rough generalization to all mind from the phenomena of developed memory, as if these might be straightway assumed, Hartley made a point of referring them, in a subordinate place of their own, to his universal principle of mental synthesis.

However, the establishment of the VAT and its generalization have considerably reduced the scope and thus the revenue of these indirect duties and excise duties even if one of them, the tax on petroleum products, is still considerable.