Jakobson's universalizing structural-functional theory of phonology, based on a markedness hierarchy of distinctive features, was the first successful solution of a plane of linguistic analysis according to the Saussurean hypotheses.

Influenced by the Organon-Model by Karl Bühler, Jakobson distinguishes six communication functions, each associated with a dimension or factor of the communication process-Elements from Bühler's theory appear in the diagram below in yellow and pink, Jakobson's elaborations in blue:

Lévi-Strauss had known Jakobson during their time together in New York during WWII and was influenced by both Jakobson's structuralism as well as the American anthropological tradition.

Published as Linguistics and Poetics in 1960, Jakobson's lecture is often credited with being the first coherent formulation of stylistics, and his argument was that the study of poetic language should be a sub-branch of linguistics.

Meanwhile, though the influence of structuralism declined during the 1970s, Jakobson's work has continued to receive attention in linguistic anthropology, especially through the ethnography of communication developed by Dell Hymes and the semiotics of culture developed by Jakobson's former student Michael Silverstein.

Jakobson's three principal ideas in linguistics play a major role in the field to this day: linguistic typology, markedness, and linguistic universals.

" Embedded in the acronym is an application and extension of Jakobson's arguments concerning the multifunctionality of language.

In a third example of the current ( third ) paradigm, since Roman Jakobson's student, Michael Silverstein opened the way, there has been an efflorescence of work done by linguistic anthropologists on the major anthropological theme of ideologies — in this case " language ideologies ", sometimes defined as " shared bodies of commonsense notions about the nature of language in the world.

Baryshnikov made signature roles of Jakobson's 1969 virtuosic Vestris along with an intensely emotional Albrecht in Giselle.

Recently, Roman Jakobson's and Andrey Zaliznyak's analyses show that the passages of Zadonschina with counterparts in Slovo differ from the rest of the text by a number of linguistic parameters, whereas this is not so for Igor's Tale.

In Roman Jakobson's work, ' Phatic ' communication is that which concerns the channel of communication, for instance when one says " I can't hear you, you're breaking up " in the middle of a cell phone conversation.

Paradigmatic analysis assumes that Roman Jakobson's description of the poetic system ( 1960, p. 358 ) applies to music and that in both a " projection of the principle of equivalence from the axis of selection on to the axis of combination " occurs.

* Holenstein, E., Roman Jakobson's Approach to Language: Phenomenological Structuralism, Bloomington and London: Indiana University Press, 1975

* Waugh, L., Roman Jakobson's Science of Language, 1976

When, in the 1970s and 1980s, Jürgen Habermas redefined critical social theory as a theory of communication, i. e. communicative competence and communicative rationality on the one hand, distorted communication on the other, the two versions of critical theory began to overlap or intertwine to a much greater degree than before.

Since the 1960s, Frankfurt School critical theory has increasingly been guided by Jürgen Habermas ' work on communicative reason, linguistic intersubjectivity and what Habermas calls " the philosophical discourse of modernity ".

Action is very important to his social theory and, according to Mead, actions also occur within a communicative process.

Terminological theories include general theory of terminology, socioterminology, communicative theory of terminology, sociocognitive terminology, and frame-based terminology.

UP shares with speech act theory, semiotics, and linguistics an interest in the details of language use and communicative action.

This last method of evaluation — the theory of speech acts — is the domain that Habermas is most interested in developing as a theory of communicative action.

In contrast to these, Habermas has formulated a theory of communicative action.

** This theory focuses on linguistic strategies to decrease or increase communicative distances.

According to intercultural adaptation theory communicative competence is a measure of adaptation which is equated with assimilation.

Genre theory does not conceptualize context as simply the space outside of text or the container surrounding texts, but as dynamic environments that simultaneously structure and are structured by the communicative practices of social agents.

" Jürgen Habermas and Karl-Otto Apel further transformed the concept of Verstehen, reformulating it on the basis of a transcendental-pragmatic philosophy of language and the theory of communicative action.

Jürgen Habermas established communicative action as a reaction to postmodern challenges to the discourse of modernity, informed both by critical theory and American pragmatism.

This account of the " lifeworld " would become an element of the theory of communicative action and discourse ethics, which Apel co-developed with Jürgen Habermas.

The ToM was an important theory, since it helped to explain the communicative, both verbal and nonverbal, as well the social impairments seen in autism and AS patients.

Another functionalist theory advances the notion of communicative competence, which focuses on socially-situated performance, was developed by Dell Hymes in response to the abstract nature of linguistic competence.

Hegel's early social philosophical works, but is supplemented by George Herbert Mead's social psychology, Habermas's communicative ethics, and Winnicott's object relation theory.

Communicative rationality, or communicative reason, is a theory or set of theories which describes human rationality as a necessary outcome of successful communication.

This is a very abstract definition since, in category theory, morphisms aren't necessarily functions and objects aren't necessarily sets.

Computational complexity theory deals with the relative computational difficulty of computable functions.

In category theory, n-ary functions generalise to n-ary morphisms in a multicategory.

The cell theory, first developed in 1839 by Matthias Jakob Schleiden and Theodor Schwann, states that all organisms are composed of one or more cells, that all cells come from preexisting cells, that vital functions of an organism occur within cells, and that all cells contain the hereditary information necessary for regulating cell functions and for transmitting information to the next generation of cells.

Partition theory studies various enumeration and asymptotic problems related to integer partitions, and is closely related to q-series, special functions and orthogonal polynomials.

However it is important to note that the objects of a category need not be sets nor the arrows functions ; any way of formalising a mathematical concept such that it meets the basic conditions on the behaviour of objects and arrows is a valid category, and all the results of category theory will apply to it.

A similar type of investigation occurs in many mathematical theories, such as the study of continuous maps ( morphisms ) between topological spaces in topology ( the associated category is called Top ), and the study of smooth functions ( morphisms ) in manifold theory.

If one axiomatizes relations instead of functions, one obtains the theory of allegories.

Although a " bijection " seems a more advanced concept than a number, the usual development of mathematics in terms of set theory defines functions before numbers, as they are based on much simpler sets.

The basic theory behind all business organizations is that, by combining certain functions within a single entity, a business ( usually called a firm by economists ) can operate more efficiently, and thereby realize a greater profit.

In computability theory, the Church – Turing thesis ( also known as the Turing-Church thesis, the Church – Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis ) is a combined hypothesis (" thesis ") about the nature of functions whose values are effectively calculable ; or, in more modern terms, functions whose values are algorithmically computable.

In the course of studying the problem, Church and his student Stephen Kleene introduced the notion of λ-definable functions, and they were able to prove that several large classes of functions frequently encountered in number theory were λ-definable.

Proofs in computability theory often invoke the Church – Turing thesis in an informal way to establish the computability of functions while avoiding the ( often very long ) details which would be involved in a rigorous, formal proof.

* Conjugate pairing of probability distributions, in the Fourier-analytic theory of characteristic functions and statistical mechanics

then used these equations to construct his theory of functions.

Riemann's dissertation on the theory of functions appeared in 1851.

* Harris Hancock Lectures on the theory of Elliptic functions ( New York, J. Wiley & sons, 1910 )

Classical analog filters are IIR filters, and classical filter theory centers on the determination of transfer functions given by low order rational functions, which can be synthesized using the same small number of reactive components.

In the context of decision theory, an estimator is a type of decision rule, and its performance may be evaluated through the use of loss functions.

A theory about some topic is usually first-order logic together with: a specified domain of discourse over which the quantified variables range, finitely many functions which map from that domain into it, finitely many predicates defined on that domain, and a recursive set of axioms which are believed to hold for those things.

Historically, the concept of fundamental group first emerged in the theory of Riemann surfaces, in the work of Bernhard Riemann, Henri Poincaré and Felix Klein, where it describes the monodromy properties of complex functions, as well as providing a complete topological classification of closed surfaces.