He defines " A number be a multitude composed of units ": a counting number, a positive integer not including 0.

An atom containing an equal number of protons and electrons is electrically neutral, otherwise it has a positive charge if there are fewer electrons ( electron deficiency ) or negative charge if there are more electrons ( electron excess ).

These results refined Ernest Rutherford's and Antonius Van den Broek's model, which proposed that the atom contains in its nucleus a number of positive nuclear charges that is equal to its ( atomic ) number in the periodic table.

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

The principal quantum number, n, describes the energy of the electron and is always a positive integer.

In number theory, if P ( n ) is a property of positive integers, and if p ( N ) denotes the number of positive integers n less than N for which P ( n ) holds, and if

Thus, almost all positive integers are composite ( not prime ), however there are still an infinite number of primes.

Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

A number of these organizations are striving to foster positive relationships between the Arab and Jewish populations: The Harduf Waldorf school includes both Jewish and Arab faculty and students, and has extensive contact with the surrounding Arab communities.

This work culminated in the solar-system-like ( but quantum-limited ) Bohr model of the atom in the same year, in which a nucleus containing an atomic number of positive charge is surrounded by an equal number of electrons in orbital shells.

... the atoms of the elements consist of a number of negatively electrified corpuscles enclosed in a sphere of uniform positive electrification, ...

In number theory, an arithmetic, arithmetical, or number-theoretic function is a real or complex valued function ƒ ( n ) defined on the set of natural numbers ( i. e. positive integers ) that " expresses some arithmetical property of n ."

( A proper divisor of a number is a positive integer divisor other than the number itself.

and 1 ) d is smallest positive integer of this form, and ii ) every number of this form is a multiple of d.

More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

of real numbers is called Cauchy, if for every positive real number ε, there is a positive integer N such that for all natural numbers m, n > N

* There exists a computable function which, given any positive rational error bound, produces a rational number r such that

so that the absence of the hymen is by no means positive proof that a girl has had sex relations.

Proximate in the sense that there are more distant, more `` positive '' ends we seek, to which victory over Communism is but a means.

and though this process by no means represents an unambiguous gain and is, in fact, marked by the estrangement from the depths that seems to be the cost of human maturation, it is still a positive step forward ; ;

It is a proposal that justice now be served by means other than those that have ever preconditioned the search for it, or preconditioned more positive means for attaining it, in the past.

Since there are infinitely many positive integers, this means that there are positive integers that cannot be defined by phrases of under eleven words.

: Theorem ( A. Korselt 1899 ): A positive composite integer is a Carmichael number if and only if is square-free, and for all prime divisors of, it is true that ( where means that divides ).

This is a concept of distance expressed by means of a smooth positive definite symmetric bilinear form defined on the tangent space at each point.

( The convention of a negative sign in the exponent is often convenient because it means that is the amplitude of a " positive frequency ",.

If the electrode has a positive potential with respect to the SHE, then that means it is a strongly reducing electrode which forces the SHE to be the anode ( an example is Cu in aqueous CuSO < sub > 4 </ sub > with a standard electrode potential of 0. 337 V ).

For s-polarization, a positive r or t means that the electric fields of the incoming and reflected or transmitted wave are parallel, while negative means anti-parallel.

For p-polarization, a positive r or t means that the magnetic fields of the waves are parallel, while negative means anti-parallel.

Falsifiability is considered a positive ( and often essential ) quality of a hypothesis because it means that the hypothesis is testable by empirical experiment and thus conforms to the standards of scientific method.

Gödel defines a positive property thus: " Positive means positive in the moral aesthetic sense ( independently of the accidental structure of the world )...

For all positive data sets containing at least one pair of unequal values, the harmonic mean is always the least of the three means, while the arithmetic mean is always the greatest of the three and the geometric mean is always in between ( see Inequality of arithmetic and geometric means.

Furthermore, for a sequence of positive weights with sum we can define weighted power means as follows:

For exponents equal to positive or negative infinity the means are maximum and minimum, respectively, regardless of weights ( and they are actually the limit points for exponents approaching the respective extremes ):

In the case of the rational numbers this means that any number has two irreducible fractions, related by a change of sign of both numerator and denominator ; this ambiguity can be removed by requiring the denominator to be positive.

The term was introduced by Benjamin Peirce in the context of elements of an algebra that remain invariant when raised to a positive integer power, and literally means "( the quality of having ) the same power ", from idem + potence ( same + power ).

" LDS Church apostle Gordon B. Hinckley noted that the " more good " translation is incorrect but added that " Mormon means ' more good '" is a positive motto for members of the LDS Church.

The successful and positive resolution of these crises during adolescence involves an epigenetic principle -- during adolescence, the individual's positive resolutions in each area of identity crisis depend, to a considerable degree, on his already having resolved preliminary and preparatory identity crises during his infancy, childhood, and early adolescence.

Bonds never tested positive in tests performed in 2003, 2004, and 2005, which may be attributable to successful obfuscation of continued use as documented in the 2006 book Game of Shadows.

Among the most successful of these was Batman: Arkham Asylum ( 2009 ), which was released by Rocksteady Studios to critical acclaim ; review aggregator Metacritic reports it as having received 92 % positive reviews.

The Urban Land Institute ( ULI ) awarded the Battery Park City Master Plan its 2010 Heritage Award, for having " facilitated the private development of 9. 3 million square feet of commercial space, 7. 2 million square feet of residential space, and nearly 36 acres of open space in lower Manhattan, becoming a model for successful large-scale planning efforts and marking a positive shift away from the urban renewal mindset of the time.

Allen's pamphlet circulated widely, including among members of Congress, and was successful in casting the Vermonters ' case in a positive light.

Open Your Eyes received positive reviews, and was later remade by U. S. director Cameron Crowe as " Vanilla Sky " ( who cast Cruz in the same role and Tom Cruise in Noriega's role ), but " Open Your Eyes " was not commercially successful.

These measures were applied with successful results along with the government's policy of the Magical Hexagon which consists of full employment, social equality, economic growth, environmental quality, positive trade balance and price stability.

At the city-wide level it may be possible, through a range of positive measures to counteract the increases in traffic and congestion which would otherwise result from increasing population densities: Freiburg im Breisgau in Germany is one example of a city which has been more successful in this respect.

" Guidelines on the reporting of suicides in Ireland were introduced recently which attempt to remove any positive connotations the act might have ( e. g. using the term " completed " rather than " successful " when describing a suicide attempt which resulted in a death ).

Although the film wasn't financially successful, it was met with relatively positive reviews from film critics, and has been argued by animation historians and fans as the finest original feature-length appearance for the cartoon characters.

His fund achieved positive returns in almost every year, averaging 13 % p. a., even during the Great Depression, thanks to very modern investment strategies, which included inter-market diversification ( i. e., invested not only in stocks but also commodities and currencies ) as well as shorting, i. e., selling borrowed stocks or futures to make money on falling prices, which Keynes advocated among the principles of successful investment in his 1933 report (" a balanced investment position [...] and if possible, opposed risks.

Wayne's World received mostly positive reviews upon release and was commercially successful ( unlike many Saturday Night Live-based films ).

His later novels, including the Book of Bebb series and Godric, received hearty praise ; in his 1980 review of Godric, Benjamin DeMott summed up a host of positive reviews, saying “ All on his own, Mr. Buechner has managed to reinvent projects of self-purification and of faith as piquant matter for contemporary fiction, producing in a single decade a quintet of books each of which is individual in concerns and knowledge, and notable for literary finish .” In 1982, author Reynolds Price greeted Buechner ’ s The Sacred Journey as “ a rich new vein for Buechner – a kind of detective autobiography ” and “ he result is a short but fascinating and, in its own terms, beautifully successful experiment .”

The use of positive reinforcement is a successful and growing technique used by leaders to motivate and attain desired behaviors from subordinates.

Released on 28 May 1990, Pod, although not commercially successful, received positive reviews from mainstream critics ; The New York Times < nowiki >'</ nowiki > Karen Schoemer wrote: " The angular melodies, shattered tempos and screeching dynamics recall elements of each of the women's full-time bands, but Pod has a smart, innovative edge all its own .".

Although it was intended to be a Christmas season blockbuster, Wayne's World 2 was only moderately successful and did not receive the box office intake or positive fan reaction as the first film did.

Despite garnering generally positive reviews, the album failed to become successful commercially.

Despite obtaining gold status and receiving positive reviews, it was not as successful as the band's first two albums.

The theory says that for a marriage to be successful, couples must average a ratio of five positive interactions to one negative interaction.

The film received positive reviews and was highly successful at the box office, becoming the third highest-grossing film both in the United States and worldwide.

Although the girls agreed on Jessica's return the following year and Wahls was positive of a re-join after her daughter's birth in March 2003, No Angels ' management eventually decided on her departure in July 2003 as the group had equally successful went on as a quartet.

Some of the most successful online communities are those whose members have positively invested positive approaches to posting and carrying on conversations in forums and chatrooms.

Therefore, it is hypothesized that music therapy helps stroke victims recover faster and with more success by increasing the patient's positive emotions and motivation, allowing them to be more successful and driven to participate in traditional therapies.