However, it is important to understand the precise technical definition of these terms.

Aerodynamicists disagree over the precise definition of hypersonic flow ; minimum Mach numbers for hypersonic flow range from 3 to 12.

Before giving a mathematically precise definition, we give a brief example.

Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

) In reliance on this assumption, modern statutes often leave a number of terms and fine distinctions unstated — for example, a statute might be very brief, leaving the precise definition of terms unstated, under the assumption that these fine distinctions will be inherited from pre-existing common law.

::" We have no idea how consciousness emerges from the physical activity of the brain and we do not know whether consciousness can emerge from non-biological systems, such as computers ... At this point the reader will expect to find a careful and precise definition of consciousness.

There is continual argument over the precise definition of each of these periods, and one historian might group them differently, or choose different names or descriptions.

Rosser 1939 addresses the notion of " effective computability " as follows: " Clearly the existence of CC and RC ( Church's and Rosser's proofs ) presupposes a precise definition of " effective ".

:" Since a precise mathematical definition of the term effectively calculable ( effectively decidable ) has been wanting, we can take this thesis ... as a definition of it ..."

There is no precise definition for the term " Chicagoland ," but it generally means the city and its suburbs combined together.

It is necessary to have a precise definition of residence to decide whether visitors to a country should be included in the population count.

The most common approach to turn this intuitive idea into a precise definition uses limits, but there are other methods, such as non-standard analysis.

( To be precise: for the definition of the dipole moment one should always consider the " dipole limit ", where e. g. the distance of the generating charges should converge to 0, while simultaneously the charge strength should diverge to infinity in such a way that the product remains a positive constant.

" It also notes that "... no definition adequately specifies precise boundaries for the concept of ' mental disorder '... different situations call for different definitions ".

There is no scientifically precise definition of genius, and the question of whether the notion itself has any real meaning has long been a subject of debate.

While a precise definition varies among genocide scholars, a legal definition is found in the 1948 United Nations Convention on the Prevention and Punishment of the Crime of Genocide ( CPPCG ).

The precise level of glucose considered low enough to define hypoglycemia is dependent on ( 1 ) the measurement method, ( 2 ) the age of the person, ( 3 ) presence or absence of effects, and ( 4 ) the purpose of the definition.

For instance, the precise definition for a homomorphism f to be iso is not only that it is bijective, and thus has an inverse f < sup >- 1 </ sup >, but also that this inverse is a homomorphism, too.

Today, law enforcement agencies, popular media, the United Nations, other nations and even some medical practitioners can be observed applying the term very broadly and often pejoratively in reference to a wide range of illicit substances, regardless of the more precise definition existing in medical contexts.

The precise definition requires that the dimension " d " so defined is a critical boundary between growth rates that are insufficient to cover the space, and growth rates that are overabundant.

Latency is a measure of time delay experienced in a system, the precise definition of which depends on the system and the time being measured.

The first modern and more precise definition of a vector space was introduced by Peano in 1888 ; by 1900, a theory of linear transformations of finite-dimensional vector spaces had emerged.

This, naturally, will be difficult to do since both the archaeological and place-name evidence in this period, with some fortunate exceptions, is insufficient for precise chronological purposes.

From the moment that Hino had first walked into the mission to ask for a job, any job -- his qualifications neatly written on a piece of paper in a precise hand -- he had been ready to become a Christian.

therefore, only with precise foreknowledge of the line frequencies is an astronomical search for the radio spectra of these molecules feasible.

As soon as the time came for re-sharpening, the precise form of the gear tooth was lost and a new cutter had to be made.

The precise mechanism for organification of iodine in the thyroid is not as yet completely understood.

Here we shall restrict discussion to those methods that appear sufficiently sensitive and precise for determining the concentration of TSH in blood.

Even though the registers may have an incomplete record of persons present in a particular area or include persons no longer living there, they contain precise information on ages, by date of birth, for some of the persons present ( especially children in relatively stable communities ) and supplementary information ( such as records of marital status ) for many others.

When the power of the latter was made both limited and explicit -- when norms were clarified and made more precise and the creation of new norms was placed exclusively in parliamentary hands -- two purposes were served: Government was made subservient to an institutionalized popular will, and law became a rational system for implementing that will, for serving conscious goals, for embodying the `` public policy ''.

Uncertainty overcoming itself is the precondition of the quest for new and more precise information about the world.

Couperin and Rameau gave titles to nearly everything they wrote, not in the later sense of `` program music '' but as a kind of nonmusical reference for the close, clear musical forms filled with keen wit and precise utterance.

He also drew precise crisp spots, which he sold to various literary and artistic journals, The New Yorker, for instance, or Esquire.

A consequence of using waveforms to describe particles is that it is mathematically impossible to obtain precise values for both the position and momentum of a particle at the same time ; this became known as the uncertainty principle, formulated by Werner Heisenberg in 1926.

While the precise identity of the author is debated, the consensus is that this work was composed by a ( Koine ) Greek speaking Gentile writing for an audience of Gentile Christians.

Although it was recognized that certain tributaries, represented for example, in the XVIIIth Dynasty tomb of Rekhmara at Egyptian Thebes as bearing vases of peculiar forms, were of some Mediterranean race, neither their precise habitat nor the degree of their civilization could be determined while so few actual prehistoric remains were known in the Mediterranean lands.

The precise formation mechanism is not known for certain, but the most widely accepted hypothesis suggests that the edge of the Cathedral Formation reef became detached from the rest of the reef, slumping and being transported some distance — perhaps kilometers — away from the reef edge.

These directives implied precise emphasis on: the search for political coordination with emerging and developing countries, namely India, South Africa, Russia and China ; creation of the Union of South American Nations and its derivative bodies, such as the South American Security Council ; strengthening of Mercosul ; projection at the Doha Round and WTO ; maintenance of relations with developed countries, including the United States ; undertaking and narrowing of relations with African countries ; campaign for the reform of the United Nations Security Council and for a permanent seat for Brazil ; and defense of social objectives allowing for a greater equilibrium between the States and populations.

The precise 4-bit encoding may vary however, for technical reasons, see Excess-3 for instance.

Sensibility is a vague word, covering an area of meaning rather than any precise talent, quality, or skill.

Occasionally a code word achieves an independent existence ( and meaning ) while the original equivalent phrase is forgotten or at least no longer has the precise meaning attributed to the code word.

The word " lycanthropy " is sometimes used generically for any transformation of a human into animal form, though the precise term for that is technically " therianthropy ".

Scientific puns rely on the contrast between precise technical and imprecise informal definitions of the same word.

For instance, Radhanites were a medieval guild or group ( the precise meaning of the word is lost to history ) of Jewish merchants who traded between the Christians in Europe and the Muslims of the Near East.

The word " terrorism " is politically and emotionally charged, and this greatly compounds the difficulty of providing a precise definition.

The word Geier ( taken from the German language ) does not have a precise meaning in ornithology, and it is occasionally used to refer to a vulture in English, as in some poetry.

" The Italian word for gargoyle is doccione or gronda sporgente, an architecturally precise phrase which means " protruding gutter.

Blanc continued the stutter ; however, it was harnessed for a more precise comedic effect ( such as stumbling over a simple word only to substitute a longer word without difficulty ).

" Vienna " and the official German name Wien, and the names of the city in most languages, are thought to be derived from the Celtic word " windo -", meaning bright or fair – as in the Irish " fionn " and the Welsh " gwyn " – but opinions vary on the precise origin.

It has also been pointed out that the concepts of " finding ", " music ", " love ", and " ardour "— the precise semantic field attached to the word troubadour — are allied in Arabic under a single root ( WJD ) that plays a major role in Sufic discussions of music, and that the word troubadour may in part reflect this.

In a very broad sense it can refer to the entire chain of Jewish tradition ( see Oral law ), but in reference to the Masoretic Text the word mesorah has a very specific meaning: the diacritic markings of the text of the Hebrew Bible and concise marginal notes in manuscripts ( and later printings ) of the Hebrew Bible which note textual details, usually about the precise spelling of words.

A precise English translation of this German-Nordic word does not actually exist, but " Meeting of the Realm " may serve as a literal translation, though perhaps " Diet of the Realm " would be more accurate ( dag literally means " day ", and is thus either cognate to the use of German tag for a Diet, or even a direct borrowing ; the former comes from Latin dies with the same meaning ).

In such cases, the word graut -/ grøtfest is more precise, taking the name from the rice pudding which is served as a course.

However, the word Kanto eventually became more of a generalized umbrella term than a precise definition of a musical genre.

The group still needed a name, so MacKaye chose the word " fugazi " from Mark Baker's Nam, a compilation of stories of Vietnam War veterans, where it was used as slang for " fucked up ", or, to be precise, an acronym for " Fucked Up, Got Ambushed, Zipped In a body bag ".

This use of the word subluxation should not be confused with the term's precise anatomic usage which considers only the anatomical relationships.

Kuzmin's association with the Symbolists was never definitive, and in 1910 he helped give rise to the Acmeist movement with his essay " O prekrasnoi yasnosti " ( On beautiful clarity ), in which he attacked " incomprehensible, dark cosmic trappings " and urged writers to be " logical in the conception, the construction of the work, the syntax ... love the word, like Flaubert, be economical in means and niggardly in words, precise and genuine -- and you will find the secret of an amazing thing — beautiful clarity — which I would call clarism.

While this common description is enough to give a rough idea of the sound, it is not precise ( it is analogous to giving the pronunciation of the English word " shot " as " syot ").

To serve the precise purpose of expressing the original definition, he begs to announce the birth of the word " pragmaticism.

A much-quoted statement from Clinton's grand jury testimony showed him questioning the precise use of the word " is.