In addition, this article discusses the definition for the more general case of functions between two metric spaces.

Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block ciphers, but also to stream ciphers and cryptographic hash functions.

In general, elliptic integrals cannot be expressed in terms of elementary functions.

Among the time-domain filters we here consider, there are two general classes of filter transfer functions that can approximate a desired frequency response.

Erasmus applies the general principles of honor and sincerity to the special functions of the Prince, whom he represents throughout as the servant of the people.

By 1951, 87 subroutines in the following categories were available for general use: floating point arithmetic ; arithmetic operations on complex numbers ; checking ; division ; exponentiation ; routines relating to functions ; differential equations ; special functions ; power series ; logarithms ; miscellaneous ; print and layout ; quadrature ; read ( input ); nth root ; trigonometric functions ; counting operations ( simulating repeat until loops, while loops and for loops ); vectors ; and matrices.

It is important to note that a particular Euclidean function f is not part of the structure of a Euclidean domain: in general, a Euclidean domain will admit many different Euclidean functions.

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

In general, functional decompositions are worthwhile when there is a certain " sparseness " in the dependency structure ; that is, when constituent functions are found to depend on approximately disjoint sets of variables.

" Within this general category, variants in terms of powers and functions may exist.

In developmental psychology, internalization is the process through which social interactions become part of the child ’ s mental functions, i. e., after having experienced an interaction with another person the child subsequently experiences the same interaction within him / herself and makes it a part of their understanding of interactions with others in general.

The two-sample KS test is one of the most useful and general nonparametric methods for comparing two samples, as it is sensitive to differences in both location and shape of the empirical cumulative distribution functions of the two samples.

The Dirichlet convolution can be defined for general arithmetic functions, and yields a ring structure, the Dirichlet ring.

Halliday's notion of language functions, or " metafunctions ", became part of his general linguistic theory.

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.

During the 1980s there was an attempt made to separate party and state functions, with the party deciding general policy and the state carrying it out.

In fact, for many fields K one does not know in general precisely which finite groups occur as Galois groups over K. This is the inverse Galois problem for a field K. ( For some fields K the inverse Galois problem is settled, such as the field of rational functions in one variable over the complex numbers.

In computability theory, Rice's theorem states that, for any non-trivial property of partial functions, there is no general and effective method to decide whether an algorithm computes a partial function with that property.

Here, a property of partial functions is called trivial if it holds for all partial computable functions or for none, and an effective decision method is called general if it decides correctly for every algorithm.

In general and according to the standard, terminals and computers have male connectors with DTE pin functions, and modems have female connectors with DCE pin functions.

Universal constructions are more general than adjoint functor pairs: a universal construction is like an optimization problem ; it gives rise to an adjoint pair if and only if this problem has a solution for every object of C ( equivalently, every object of D ).

Furthermore, the Universal House of Justice is instructed by Bahá ' u ' lláh to exert a positive influence on the general welfare of humankind, to promote a permanent peace among the nations of the world, ensure the " training of peoples, the up building of nations, the protection of man and the safeguarding of his honour ".

* April 17 – Riots of Mons during the Belgian general strike of 1893, The day after, Belgian parliament approved Universal suffrage.

The most general of these would be that Universal Grammar is whatever properties of a normally developing human brain cause it to learn languages that conform to universal grammar ( the non-capitalized, pretheoretical sense ).

Sometimes aspects of Universal Grammar in this sense seem to be describable in terms of general facts about cognition.

Universal algebra ( sometimes called general algebra ) is the field of mathematics that studies algebraic structures themselves, not examples (" models ") of algebraic structures.

The adoption of the Universal Declaration of Human Rights in 1948 marks the recognition at least nominally of a general ban of torture by all UN member states.

The 1967 International and Universal Exposition or Expo 67, as it was commonly known, was the general exhibition, Category One World's Fair held in Montreal, Quebec, Canada, from April 27 to October 29, 1967.

Universal Terminology eXchange ( UTX ) format is a standard specifically designed to be used for user dictionaries of machine translation, but it can be used for general, human-readable glossaries.

On March 2, 1875, he published his first article for Vicente Villada's Revista Universal, a broadsheet discussing politics, literature, and general business commerce.

In May 2006, an investigation led by then New York attorney general, Eliot Spitzer, concluded with a determination that Universal Music Group bribed radio stations to play songs from Ashlee Simpson, Brian McKnight, Big Tymers, Nick Lachey, Lindsay Lohan and other performers under Universal labels.

Universal suffrage ( also universal adult suffrage, general suffrage or common suffrage ) consists of the extension of the right to vote to adult citizens ( or subjects ) as a whole, though it may also mean extending said right to minors ( Demeny voting ) and non-citizens.

In the Universal Copyright Convention, " publication " is defined in article VI as " the reproduction in tangible form and the general distribution to the public of copies of a work from which it can be read or otherwise visually perceived.

From then ( until January 2006 ) the international CNBC services carried the tagline " A Service of NBC ( Universal ) and Dow Jones " ( or depending on other local partners, a variation of this tagline ) when introducing regional programmes ( including magazine programmes ) and airing general channel promotions.

The inter-American system for the protection of human rights emerged with the adoption of the American Declaration of the Rights and Duties of Man in April 1948 the first international human rights instrument of a general nature, predating the Universal Declaration of Human Rights by more than six months.

The American Declaration of the Rights and Duties of Man was the world's first international human rights instrument of a general nature, predating the Universal Declaration of Human Rights by less than a year.

In “ The Concrete Universal ,” Wimsatt attempts to determine how specific or general ( i. e., concrete or universal ) a verbal representation must be in order to achieve a particular effect.

In general, the relationship between and is only a little more complicated, and is again controlled by the Universal coefficient theorem.

* Universal kriging assumes a general polynomial trend model, such as linear trend model.

His general goal of standardization and internationalization is evident in his work to combine the postal service with the telegraph service in Germany, and in his efforts to organize the International Postal Conference in Bern in 1874, in which the Universal Postal Union was established.

The 1967 International and Universal Exposition, or Expo 67 as it was commonly known, was the general exhibition, Category One World's Fair held in Montreal from April 27 to October 29, 1967.

The Universal Declaration of Human Rights and the concept of " human rights " in general were designed to limit oppression by giving a clear articulation of what fundamental freedoms any system should allow to all of the people over whom it has power.

After leaving the Roach studio, Walker wrote dialogue for comedies produced by ex-Roach general manager Warren Doane at Universal Pictures.