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.

A precise definition for the word has proved elusive.

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.

The precise meaning of the term varies by jurisdiction, but in many countries EMTs respond to emergency calls, perform certain medical procedures and transport patients to hospital in accordance with protocols and guidelines established by physician medical directors.

* Security desk routing and notification functionalities that deliver 911 calls and custom email alerts to on-site security personnel, notifying them of the emergency and providing them with the caller ’ s precise location information ;

The precise reason for the early end of the mission was the subject of much speculation, but was reported to be an emergency evacuation after the Salyut atmosphere developed an acrid odor.

At some point in the early history of emergency service mobile radio systems, the LAPD developed its own phonetic alphabet for relaying precise information on individual letters.

Air traffic controllers had not noticed the disappearance from radar of BE 548, while the emergency services only became aware of the accident after 15 minutes had passed and did not know the precise circumstances of it for nearly an hour.

The precise services offered by stations vary by country, but typical FSS services may include providing preflight briefings including weather and notices to airmen ( NOTAMs ); filing, opening, and closing flight plans ; monitoring navigational aids ( NAVAIDs ); collecting and disseminating pilot reports ( PIREPs ); offering traffic advisories to aircraft on the ground or in flight ; relaying instructions or clearances from air traffic control ; and providing assistance in an emergency.

Assuming that the transcriptions are not intended to be precise, only 11 of the 26 — Bravo, Echo, Hotel, Juliet ( t ), Kilo, Mike, Papa, Quebec, Romeo, Whiskey, and Zulu — are given English pronunciations by all these agencies, though not always the same English pronunciations.

Official and highly precise timekeeping services ( clocks ) are provided by two federal agencies: the National Institute of Standards and Technology ( NIST ) ( an agency of the Department of Commerce ); and its military counterpart, the United States Naval Observatory ( USNO ).

Press have speculated that Megeurba was tortured to obtain this information, although Manningham-Buller has maintained neither she nor MI5 were aware of the " precise circumstances that attended their agencies ' questioning of Megeurba ".

However, no precise measurement of the costs of regulation balanced against the harms associated with money laundering, and, given the evaluation problems involved in assessing such an issue, it is unlikely the effectiveness of terror finance and money laundering laws could be determined with any degree of accuracy.

This peculiar tactic was developed informally in the field and passed on to new personnel as it demanded precise coordination skills from everyone involved.

While the precise definition of an inverse element varies depending on the algebraic structure involved, these definitions coincide in a group.

The most precise value of α obtained experimentally through the present is based on a new measurement of g using a one-electron so-called " quantum cyclotron " apparatus, together with a calculation via the theory of QED that involved 891 four-loop Feynman diagrams:

The values shown in the cells of the table are not without controversy, for the precise meanings of some of the concepts involved are unclear and, in fact, are themselves at the center of the controversy surrounding the given interpretation.

However, all such techniques rely on accurate reporting of failure rates, and precise identification, of the failure modes involved.

Whilst this makes the model less precise, it is generally acknowledged to provide a useful simplification to the calculations involved in consumer choice theory, especially since consumer demand is often examined over a considerable period of time.

In his political memoirs, Bidault states that he was never involved in the OAS, and is not qualified to give any precise information about its heroic deeds.

The Islamic worship ( salat ) practiced by one Muslim may differ from another's in minor details, which can affect the precise actions and words involved.

To a large degree, anterograde amnesia remains a mysterious ailment because the precise mechanism of storing memories is not yet well understood, although it is known that the regions involved are certain sites in the temporal cortex, especially in the hippocampus and nearby subcortical regions.

As late as the early 20th century, manufacturing often involved filing parts to precise shape and size.

An effective one timer requires precise timing on the part of both players involved, especially the shooter.

This was necessary because manufacturing involved tweaking parameters, precise understanding of the manufacturing processes being used, and the occasional need to redesign.

Even though the practice of election had existed earlier and most of the dukes named in the Golden Bull were involved in the election, and although the practice had mostly been written down in an earlier document, the Declaration of Rhense from 1338, the Golden Bull was more precise in several ways.

Also note sequences such as the first hypnosis sequence at the Laughing Duke, which features an extremely complicated camera shot in 360 degrees, which involved a great deal of precise timing and technical faculty.

Henry Clausen reported the war warnings could not be more precise because Washington could not risk Japan guessing the U. S. was reading important parts of their traffic ( i. e., most importantly Purple, despite the fact there was no known tactical or strategic info in that traffic ), as well as the fact neither was cleared to receive Purple ; Clausen does not answer why Washington could not have said " an exceptionally reliable source " was involved, with very strong instructions to pay attention.

Animuccia was involved early on with music for these meetings ( the precise date is unknown ) and remained maestro di Capella of the Oratory until his death.

More precise results from the Newark trials are not to hand ; trials conducted after Abbots Ripton reported the following ( for an express train roughly matching one of those involved, like it on a 1 in 200 fall, but unlike it braking under favorable conditions )

The various kits worn by Melchester over the yearsMelchester Rovers ' colours have always involved some combination of red and yellow, although as with real life professional teams, their precise shirt designs have varied considerably over the years.

The regulatory networks involved in keeping the clock precise span over a range of post-translation regulation mechanisms.

Accordingly, as we said in Cafeteria & Restaurant Workers Union v. McElroy consideration of what procedures due process may require under any given set of circumstances must begin with a determination of the precise nature of the government function involved, as well as of the private interest that has been affected by governmental action.

Their language involved the telepathic projection of color patterns in precise gradations and following mathematical formulas.

Roughly speaking, this theory says that the Dade isometry can be extended unless the groups involved have a certain precise structure.

Although the precise sums of money involved have varied, the typical buy-in has been in the region of £ 1, 500, with a first prize of between £ 40, 000 and £ 60, 000.