* Lexical functional grammar, developed by Joan Bresnan and Ronald Kaplan in the 1970s, is a type of phrase structure grammar, as opposed to a dependency grammar.

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.

: A functional dependency ( FD for short ) is written as for finite sets of attribute names.

: A functional dependency holds in a relation if:

: A functional dependency holds in a relation universe if it holds in all relations in.

; Trivial functional dependency

: A functional dependency is trivial under a header if it holds in all relation universes over.

The correlation ratio is able to detect almost any functional dependency, and the entropy-based mutual information, total correlation and dual total correlation are capable of detecting even more general dependencies.

A non-prime attribute of R is an attribute that does not belong to any candidate key of R. A transitive dependency is a functional dependency in which X → Z ( X determines Z ) indirectly, by virtue of X → Y and Y → Z ( where it is not the case that Y → X ).

* X contains A ( that is, X → A is trivial functional dependency ), or

Whereas the second, third, and Boyce – Codd normal forms are concerned with functional dependencies, 4NF is concerned with a more general type of dependency known as a multivalued dependency.

A Table is in 4NF if and only if, for every one of its non-trivial multivalued dependencies X Y, X is a superkey — that is, X is either a candidate key or a superset thereof .< ref name =" Fagin ">" A relation schema R * is in fourth normal form ( 4NF ) if, whenever a nontrivial multivalued dependency X Y holds for R *, then so does the functional dependency X → A for every column name A of R *.

A functional dependency is a special case of multivalued dependency.

In a functional dependency X → Y, every x determines exactly one y, never more than one.

The concept of functional dependency arises when one attribute is dependent on another attribute and it also uniquely determines the other attribute.

:( Note: the " function " being discussed in " functional dependency " is the function of identification.

A functional dependency FD: X → Y is called trivial if Y is a subset of X.

This functional dependency may suggest that the attribute EngineCapacity be placed in a relation with candidate key VIN.

For example, if that functional dependency occurs as a result of the transitive functional dependencies VIN → VehicleModel and VehicleModel → EngineCapacity then that would not result in a normalized relation.

He showed convincingly that anxiety is a learned ( conditioned ) reaction and is the basis of experimental and clinical neuroses and assumed, therefore, that the neuronal changes which underlie the neuroses are functional and reversible.

Thus, the writer decided to hold one experimental section of the functional preparation for marriage course in the spring semester of 1960 exclusively for persons already married -- that is, prerequisite: `` marriage ''.

Merton's functional sociology may have great practical use in the study of different cultures, yet it is perfectly clear, as Nagel ( 1957::

-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.

This is the principle which we will invoke in every case to set up a functional equation.

An interesting approach to the bedroom is presented, with a young, basic, functional group of chests, dressers and corner units and a canted headboard.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

An alkyl group, generally abbreviated with the symbol R, is a functional group or side-chain that, like an alkane, consists solely of single-bonded carbon and hydrogen atoms, for example a methyl or ethyl group.

" Good ", for example, can mean " useful " or " functional " ( That's a good hammer ), " exemplary " ( She's a good student ), " pleasing " ( This is good soup ), " moral ( a good person versus the lesson to be learned from a story ), " righteous ", etc.

In chemistry, an alcohol is an organic compound in which the hydroxyl functional group (- OH ) is bound to a carbon atom.

The suffix-ol appears in the IUPAC chemical name of all substances where the hydroxyl group is the functional group with the highest priority ; in substances where a higher priority group is present the prefix hydroxy-will appear in the IUPAC name.

* If M is some set and S denotes the set of all functions from M to M, then the operation of functional composition on S is associative:

An amide is a compound with the functional group R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub > ( R and R ' refer to H or organic groups ).

Often, if the skill is being used in a functional object, people will consider it a craft instead of art, a suggestion which is highly disputed by many Contemporary Craft thinkers.

The truth is complex ; art is both useless in a functional sense, and also the most important human activity.

In Mycobacterium tuberculosis, the AC-III polypeptide is only half as long, comprising one 6-transmembrane domain followed by a cytoplasmic domain, but two of these form a functional homodimer that resembles the mammalian architecture.

Most of the time it is not only checked if the equipment meets the pre-set specification, but also if the equipment is fully functional.

Oz contains most of the concepts of the major programming paradigms, including logic, functional ( both lazy and eager ), imperative, object-oriented, constraint, distributed, and concurrent programming.

It merges elements of functional and logic programming, including constraint programming integration.

** Horn – Schunck method – optimizing a functional based on residuals from the brightness constancy constraint, and a particular regularization term expressing the expected smoothness of the flow field

A similar statement may be made for the Diffeomorphism constraint ( take functional derivative with respect to the shift functions instead ).

A similar statement may be made for the Diffeomorphism constraint ( take functional derivative with respect to the shift functions instead ).

Moreover, the constraints are functional: for any given value of a new variable, only one value of the old variable may satisfy the constraint.

* Alice – a concurrent functional constraint programming language early versions of which ran on the Mozart / Oz virtual machine, allowing interfacing between Alice and Oz code