Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.

As Athens attracted an increasing number of resident aliens ( metics ), this shift in the definition of citizen worked to keep the immigrant population more sharply distinguished politically.

A more abstract definition, which is equivalent but more easily generalized to infinite-dimensional spaces, is to say that bras are linear functionals on kets, i. e. operators that input a ket and output a complex number.

However, there is considerable variation on this pattern in almost every respect, including length, number of lines and rhyming scheme, making the strict definition of a ballad extremely difficult.

This number can be seen as equal to the one of the first definition, independently of any of the formulas below to compute it: if in each of the n factors of the power one temporarily labels the term X with an index i ( running from 1 to n ), then each subset of k indices gives after expansion a contribution X < sup > k </ sup >, and the coefficient of that monomial in the result will be the number of such subsets.

The basic idea of his proof is that a proposition that holds of x if x = n for some natural number n can be called a definition for n, and that the set

The number of atoms on the left and the right in the equation for a chemical transformation is equal ( when unequal, the transformation by definition is not chemical, but rather a nuclear reaction or radioactive decay ).

) 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.

The only exception to the atomic mass of an isotope atom not being a natural number is < sup > 12 </ sup > C, which has a mass of exactly 12 by definition, because u is defined as 1 / 12 of the mass of a free neutral carbon-12 atom in the ground state.

It relies on the following equivalent definition of differentiability at a point: A function g is differentiable at a if there exists a real number g ′( a ) and a function ε ( h ) that tends to zero as h tends to zero, and furthermore

The key notions in the definition are ( 1 ) that some n is specified at the start, ( 2 ) for any n the computation only takes a finite number of steps, after which the machine produces the desired output and terminates.

However, whether this is possible depends on how the field of complex numbers is derived in the first place: it may not be possible to distinguish a complex number from its conjugate ( say, 3 + i from 3-i ), since it is impossible to find a property of one that is not also a property of the other, without falling back on the underlying set-theoretic definition.

A union type definition will specify which of a number of permitted primitive types may be stored in its instances, e. g. " float or long integer ".

As diplomats by definition enter the country under safe-conduct, violating them is normally viewed as a great breach of honour, although there have been a number of cases where diplomats have been killed.

In a debate at Orange Coast College, he voiced his support for Proposition 8, which defines marriage in California as only between a man and a woman, and said that he " would suggest not changing the definition of marriage in our society to make a small number of people feel more comfortable.

Then the equivalence class of the pair can be identified with the rational number, and this equivalence relation and its equivalence classes can be used to give a formal definition of the set of rational numbers.

However, it is argued that this approach fails to properly define euthanasia, as it leaves open a number of possible actions which would meet the requirements of the definition, but would not be seen as euthanasia.

By definition, equality follow a number of " equivalence relations ", including ( a ) reflexive ( i. e. ), ( b ) symmetric ( i. e. if then ) ( c ) transitive ( i. e. if and then ).

Boltzmann showed that this definition of entropy was equivalent to the thermodynamic entropy to within a constant number which has since been known as Boltzmann's constant.

This definition describes the entropy as being proportional to the natural logarithm of the number of possible microscopic configurations of the individual atoms and molecules of the system ( microstates ) which could give rise to the observed macroscopic state ( macrostate ) of the system.

Because no set definition of what constitutes a lake and no procedures for counting the number of lakes exist, it has been impossible to ascertain exactly how many lakes the region has.

By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.

The correct definition is the number 1 followed by < i > one hundred </ i > zeroes ) on his show.

The only factors that are personally set by the choreographer are the movements themselves, the number of the dancers, and the approximate total duration of the dance.

This, of course, depends on the character of the site itself, the previous experience of the investigator, and the number of factors needed to arrive at a good decision.

The final choice of material depends upon such factors as costs, method of fabrication, degree of complexity, number of units required, time available for tooling, and projected life expectancy of the unit.

This means that such factors as the health of the parents, particularly the mother, their ability to provide their children with the necessities of life, the degree of population density of a country and the shortage of housing facilities may legitimately be taken into consideration in determining the number of offspring.

Lower costs and a larger number of stations are the key factors making such specialization possible.

efficiency grows as the number of factors increases.

The type of displays seen at an event are constrained by a number of factors, including the weather and visibility.

The action of osteoblasts and osteoclasts are controlled by a number of chemical factors that either promote or inhibit the activity of the bone remodeling cells, controlling the rate at which bone is made, destroyed, or changed in shape.

The number and quality of combatants and equipment, the skill of the commanders of each army, and the terrain advantages are among the most prominent factors.

These two factors combined with others have obscured the history of the Baltic languages, leading to a number of theories regarding their position in the Indo-European family.

The rate at which a woman develops ptosis depends on many factors including genetics, smoking, body mass index, number of pregnancies, the size of breasts before pregnancy, and age.

This article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index.

Furthermore, if b < sub > 1 </ sub > and b < sub > 2 </ sub > are both coprime with a, then so is their product b < sub > 1 </ sub > b < sub > 2 </ sub > ( modulo a it is a product of invertible elements, and therefore invertible ); this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.

A number of factors, though, aggravated this feud.

The number is a Carmichael number if its three factors are all prime.

Any rational number with a denominator whose only prime factors are 2 and / or 5 may be precisely expressed as a decimal fraction and has a finite decimal expansion.

The number twelve, a highly composite number, is the smallest number with four non-trivial factors ( 2, 3, 4, 6 ), and the smallest to include as factors all four numbers ( 1 to 4 ) within the subitizing range.

As S approaches T the square will be outside C and therefore both Af and Af must cross C an odd number of times as S varies from zero to T.

The Centimorgan is also often used to imply distance along a chromosome, but the number of base pairs it corresponds to varies widely.

The threshold is indexed biannually in March and September, and varies according to the number of dependants the bankrupt has.

The number of years varies depending on the company issuing the report, but the report will eventually cease to record that information.

The specific object varies with each game and can include taking as many tricks as possible, taking as many scoring cards ( or as few penalty cards ) within the tricks won as possible, taking as few tricks as possible, or taking an exact number of tricks.

Subfolders can contain still more files and folders and so on, thus building a tree-like structure in which one " master folder " ( or " root folder " — the name varies from one operating system to another ) can contain any number of levels of other folders and files.

The actual number in Scotland varies considerably — between approximately 350 to 500 due to the use of the term " island dun " for well over one hundred Hebridean examples — a distinction that has created a divide between mainland Scottish crannog and Hebridean islet settlement studies.

The number of Standing Committee members varies and has tended to increase over time.

The number of adherents to the various smaller groups of Christadelphians varies from approximately 1, 850 members ( the Unamended Christadelphians as of 2006 ) to groups made up of little more than one or two immediate families.

Chimpanzees mate throughout the year, although the number of females in estrus varies seasonally in a group.

The number of nuclei in the cyst varies from 1 to 8 among species and is one of the characteristics used to tell species apart.

The number of moults varies, both between species and genders, but generally will be between five times and nine times before the spider reaches maturity.

The number of harp strings varies greatly, depending on the type of guitar and also the player's personal preference.

Accuracy on machine guns varies based on a wide number of factors from design to manufacturing tolerances, most of which have been improved over time.

For internal combustion engines in the form of jet engines, the power output varies drastically with airspeed and a less variable measure is used: thrust specific fuel consumption ( TSFC ), which is the number of pounds of propellant needed to generate impulses that measure a pound force-hour.

United States: In the United States the privately held company R. R. Bowker is the responsible entity, and there is a charge, which varies depending upon the number of ISBNs purchased, with prices ranging from $ 125. 00 for a single number.

The number of B channels for PRI varies according to the nation: in North America and Japan it is 23B + 1D, with an aggregate bit rate of 1. 544 Mbit / s ( T1 ); in Europe, India and Australia it is 30B + 1D, with an aggregate bit rate of 2. 048 Mbit / s ( E1 ).

The total number of Kashubians varies depending on one's definition.

The number of Rashad languages, also called Tegali – Tagoi, varies among descriptions, from two ( Williamson & Blench 2000 ), three ( Ethnologue ), to eight ( Blench ms ).

The species are not clearly distinct and estimates of the number of species varies from 13 to 18.

The number of mitochondria in a cell varies widely by organism and tissue type.

The number of rules observed varies with the order ; Theravada bhikkhus follow around 227 rules.

Mach number varies by the composition of the surrounding medium and also by local conditions, especially temperature and pressure.