A broad division may be drawn between " imperative " and " functional " definition styles.

The quantity is properly said to be a functional of the continuous joint progression of and, but, in the mathematical definition of a function, is not a function of.

But outside North America this functional definition no longer holds.

The word moiety () is often used synonymously with " functional group ," but, according to the IUPAC definition, a moiety is a part of a molecule that may include either whole functional groups or parts of functional groups as substructures.

Hawks's own functional definition of what constitutes a " good movie " is revealing of his no-nonsense style: " Three great scenes, no bad ones.

However, the more original definition of subcellular functional unit in general still coexists.

The above definition follows a classical approach to biochemistry, established at times when the distinction between a protein and a functional, proteinaceous unit was difficult to elucidate.

Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.

The practical definition of a stem cell is the functional definition — a cell that has the potential to regenerate tissue over a lifetime.

" ( Marx, introduction ) This is a functional definition of religion, meaning that it explains what religion does in social life: essentially, it unites societies.

The mixing of composite and double base propellant ingredients has become so common as to blur the functional definition of double base propellants.

It provides tools to complete product definition, including functional tolerances, as well as kinematics definition.

Research of single genes does not fall into the definition of genomics unless the aim of this genetic, pathway, and functional information analysis is to elucidate its effect on, place in, and response to the entire genome's networks.

Similarly in D version 1, it is assumed that the programmer knows what to do with delegates and local variables, as their references will be invalid after return from its definition scope ( local variables are on the stack )-this still permits many useful functional patterns, but for complex cases needs explicit heap allocation for variables.

An operational definition, also called functional definition, defines something ( e. g. a variable, term, or object ) in terms of the specific process or set of validation tests used to determine its presence and quantity.

For general functions, the graphic representation cannot be applied and the formal definition of the graph of a function suits the need of mathematical statements, e. g., the closed graph theorem in functional analysis.

This simply linearizes the definition of an eigenvalue, and is the correct definition for a common eigenvector, as if v is a common eigenvector, meaning then the functional is defined as

) Delirium must by definition be caused by an organic process, i. e., a physically identifiable structural, functional, or chemical problem in the brain ( see organic brain syndrome ), and thus, fluctuations of mentation due to changes in purely psychiatric processes or diseases, such as sudden psychosis from schizophrenia or bipolar disorder, are ( by definition ) not termed delirium.

The Linux Kernel still mostly supports APM, with the last fully functional APM support shipping in 3. 3.

The requirement of multiple name servers aims to make the domain still functional even if one name server becomes inaccessible or inoperable.

Although Polymer is fully functional, it is technically incomplete and unoptimized, and is still in development.

It was built in 1325 with a church on either bridgehead, one of which, the Ägidienkirche, is still functional.

Depending on the particular formalism adopted for the calculus, it may be seen as a simple application of a " functional substitution " rule of inference, as in Gödel's paper, or it may be proved by considering the formal proof of, replacing in it all occurrences of Q by some other formula with the same free variables, and noting that all logical axioms in the formal proof remain logical axioms after the substitution, and all rules of inference still apply in the same way.

The Institute of technology system was organised on the committee areas or " functional areas ", these still remain legal but are not as important as originally envisioned as the institutes are now more national in character and are only really applied today when selecting governing councils, similarly Dublin Institute of Technology was originally a group of several colleges of the City of Dublin committee.

The cat has many parts that can be removed leaving it still functional ; for example, its tail can be bobbed, or it can lose an ear in a fight.

The ancient port of Jaffa is still intact and functional.

For example, if a networking service crashed due to buffer overflow, only the networking service's memory would be corrupted, leaving the rest of the system still functional.

Furthermore, although the transmission systems are still functional, receiving aerials in many places have long since been dismantled or are unmaintained.

Brain death may result in legal death, but still with the heart beating, and with mechanical ventilation all other vital organs may be kept completely alive and functional, providing optimal opportunities for organ transplantation.

Brain death may result in legal death, but still with the heart beating, and with mechanical ventilation all other vital organs may be kept completely alive and functional, providing optimal opportunities for organ transplantation.

The claws become functional, but the gills are still rudimentary.

A major branch of genomics is still concerned with sequencing the genomes of various organisms, but the knowledge of full genomes has created the possibility for the field of functional genomics, mainly concerned with patterns of gene expression during various conditions.

Although they lack image-forming eyes, their photoreceptors ( which detect light ) are still functional ; they do surface periodically as well.

Eventually, working in the still functional Great Library of Trantor, Mis comes to learn of the Second Foundation's whereabouts.

Many languages already have compiler front-ends designed for Parrot ; however, many of them are still only partially functional.

These lamps have proven incredibly reliable, with some samples known to be still functional after nearly 50 years of continuous operation.

The MIT tube was still in development, and while the goal was to hold 1024 bits per tube, this goal was never reached, even several years after the plan had called for full-size functional tubes.

The POA still remains intact to service the recreational amenities but the City of Bella Vista has now assumed many of the functional and infrastructure responsibilities.

Newburyport is often cited as an example by preservationists of how to maintain a city's architecture and heritage, while still having it remain functional and liveable.

Of these, the ones at Welsum, Olst ( one ), Marle and Wijhe ( one ) are still fully functional.

Given x ∈ A, the holomorphic functional calculus allows to define ƒ ( x ) ∈ A for any function ƒ holomorphic in a neighborhood of Furthermore, the spectral mapping theorem holds:

One key distinction is the purpose for the practice ; handloaders often seek smaller batches of high-quality ammunition, whereas reloaders are said to make large quantities of ammunition that does not need to be of as high quality but at least one authority ( McPherson ) holds that a better distinction for these connotations is that, regardless of quantity, handloads tend to be of generally high quality while reloads tend to be merely functional.

The materialistic view of the mind-body problem holds that mental disorders arise from physical processes ; in this view, the distinction between brain and mind, and therefore between organic and functional disease, is an artificial one.

: A functional dependency holds in a relation if:

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

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

A contemporary botanic garden is a strictly protected natural urban green area where a managing organization creates landscaped gardens and holds documented collections of living plants and / or preserved plant accessions containing functional units of heredity of actual or potential value for purposes such as scientific research, education, public display, conservation, sustainable use, tourism and recreational activities, production of marketable plant-based products and services for improvement of human well-being.

It was produced by Research Software Ltd. of England ( which holds a trademark on the name Miranda ) and was the first purely functional language to be commercially supported.

This definition states that a table is in 3NF if and only if, for each of its functional dependencies X → A, at least one of the following conditions holds:

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 *.

In mathematics, especially in functional analysis, a positive linear functional on an ordered vector space ( V, ≤) is a linear functional f on V so that for all positive elements v of V, that is v ≥ 0, it holds that

* Patriot Scientific's Ignite stack machine designed by Charles H. Moore holds a leading functional density benchmark.

Just the same shape of functional equation holds for the Dedekind zeta function of a number field K, with an appropriate gamma-factor that depends only on the embeddings of K ( in algebraic terms, on the tensor product of K with the real field ).

Tulpa ( Tibetan: sprul ba ; Tibetan: sprul pa where " sprul " holds the semantic field: " emanate ", " manifest " and " pa " is a functional postposition employed to build nouns from verbs ) is Tibetan for what has been rendered as " thoughtform " in English.

The esoteric tradition holds that at the time of his baptism in the Jordan River by John the Baptist, Jesus of Nazareth was partially " incorporated " into the Cosmic Christ Spirit, and thus actually became a functional part or functional aspect of the Cosmic Christ Spirit itself-at least temporarily ( for about 3 years ).

Contracts define a functional structure that holds such an organization together by imposing mutual obligations on people.

In functional analysis and related areas of mathematics a Montel space, named after Paul Montel, is any topological vector space in which an analog of Montel's theorem holds.

Specifically, there are Maass cusp forms associated with exceptional eigenvalues, for which the Ramanujan – Peterssen conjecture holds, and have a functional equation, but do not satisfy the Riemann hypothesis.