The industry norm can be argued to be anything between 93 %- 96 % when a UPS is in full operational mode, and to reach these figures companies often put their UPS in an ideal scenario.

of a number field K contains an integral ideal of norm not exceeding a certain bound, depending on K, called Minkowski's bound: the finiteness of the class number of an algebraic number field follows immediately.

The government-sponsored image of the conversion process emphasises psychological persuasion and a variety of " soft-sell " techniques ; this is the " ideal norm " in regime reports, according to Tong.

This result gives a bound, depending on the ring, such that every ideal class contains an ideal norm less than the bound.

If a is an ideal of O < sub > K </ sub >, other than the zero ideal we denote its norm by Na.

Hence this norm of an ideal is always a positive integer.

When I is a principal ideal αO < sub > K </ sub > then N ( I ) is equal to the absolute value of the norm to Q of α, for α an algebraic integer.

In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension.

When the less complicated number ring is taken to be the ring of integers, Z, then the norm of a nonzero ideal I of a number ring R is simply the size of the finite quotient ring R / I.

The norm of a principal ideal generated by α is the ideal generated by the field norm of α.

By convention, the norm of the zero ideal is taken to be zero.

Ushering in the modern recording era, he challenged our perception and processes of how recordings could be made, explored the possibilities of modern recording and exploited the potential for the popularity of classical music-and all this while setting standards of artistic achievement, integrity, risk-taking, and of the aesthetic ideal that became our new norm.

A six-partner group marriage ( three male, three female ) is considered the ideal norm in the alien society described in the novel ; the main characters are in a five-partner group marriage, and much of the dramatic tension hinges on there being more than one candidate for the sixth position.

The previous norm, the mortise lock, is a more complex device, and its higher manufacturing cost as well as its more labor intensive installation make the bored cylindrical lock an ideal substitute, both in price and functionality.

* Ideal norm, the ideal theoretic generalization of the field norm

This norm diverges only minimally from the original ideal of " one letter, one sound "; that is, it accepts only minor allophonic variation.

A reader of the Boston newspapers can hardly escape the impression that petty chicanery, or worse, is the norm in Massachusetts public life.

Thus, the vector space B ( X, Y ) can be given the operator norm

If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.

There are various norms that can be placed on the tensor product of the underlying vector spaces, amongst others the projective cross norm and injective cross norm.

*: The condition number computed with this norm is generally larger than the condition number computed with square-summable sequences, but it can be evaluated more easily ( and this is often the only measurable condition number, when the problem to solve involves a non-linear algebra, for example when approximating irrational and transcendental functions or numbers with numerical methods.

Instead, education officials across the world believe that by setting clear, achievable, higher standards, aligning the curriculum, and assessing outcomes, learning can be increased for all students, and more students can succeed than the 50 percent who are defined to be above or below grade level by norm referenced standards.

Finally, one can use the norm to define a metric ( or distance function ) on R < sup > n </ sup > by

Now that 32-bit graphics cards, which support 24-bit color, are the norm, palettes can be populated with the optimum colors for individual images.

In other cases, defection from the norm can pose a real risk, particularly if the international environment is changing.

One school is sometimes called exclusive legal positivism, and it is associated with the view that the legal validity of a norm can never depend on its moral correctness.

In many Western classical poetic traditions, the metre of a verse can be described as a sequence of feet, each foot being a specific sequence of syllable types — such as relatively unstressed / stressed ( the norm for English poetry ) or long / short ( as in most classical Latin and Greek poetry ).

In a more general sense, a vector norm can be taken to be any real-valued function that satisfies these three properties.

For a nonzero vector of finite norm in, one can assume that is nonzero, or to fix ideas.

One school is sometimes called exclusive legal positivism, and it is associated with the view that the legal validity of a norm can never depend on its moral correctness.

If X and Y are subsets of the real numbers, d < sub > 1 </ sub > and d < sub > 2 </ sub > can be the standard Euclidean norm, || · ||, yielding the definition: for all ε > 0 there exists a δ > 0 such that for all x, y ∈ X, | x − y | < δ implies | f ( x ) − f ( y )| < ε.

Wings with this shape are the norm in subsonic flight, but symmetrically shaped wings ( above and below ) can generate lift by using a positive angle of attack to deflect air downward.

A person that chooses to throw trash away in a garbage can is following social norms, but an individual violating the norm would choose to litter.

A general formal framework that can be used to represent the essential elements of the social situation surrounding a norm is the repeated game of game theory.

In contrast, Economic norms theory shows how market-contracting is a learned norm, and state spending, regulation, and redistribution are necessary to ensure that most everyone can participate in the “ social market ” economy, which is in everyone ’ s interests.

The necessary conditions can be stated as following: if a Gaussian integer is a Gaussian prime, then either its norm is a prime number, or its norm is a square of a prime number.

This can result in nepotism in the work force, as it is common for authoritative figures to draw from family and close ties to fill employment opportunities ; instead of assessing talent and suitability such as is the norm in Western societies.

In fact, some -- Anzilotti is the principle example -- went so far as to say that all international law could be traced to the single legal norm, Pacta sunt Servanda.

The usual U.S. norm would be: Af Middle pitches, slight pause ( juncture ) before mother, slight rise at the end.

Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.

The algebra multiplication and the Banach space norm are required to be related by the following inequality:

* Uniform algebra: A Banach algebra that is a subalgebra of C ( X ) with the supremum norm and that contains the constants and separates the points of X ( which must be a compact Hausdorff space ).

In 1917 it was established that all cardinals, even cardinal deacons, had to be priests, and in 1962, John XXIII set the norm that all cardinals be bishops.

* If is the norm ( usually noted as ) defined in the sequence space ℓ < sup >∞</ sup > of all bounded sequences ( which also matches the non-linear distance measured as the maximum of distances measured on projections into the base subspaces, without requiring the space to be isotropic or even just linear, but only continuous, such norm being definable on all Banach spaces ), and is lower triangular non-singular ( i. e., ) then

Muslim tradition expects their women to be subservient and it is their societal norm for women to reveal little, if any of their face.

What is believed to be a timeless truth to one person or denomination may be considered a cultural norm or minor opinion to another.

Some scholars have speculated that he may have been a widower since he was a Pharisee and member of the Sanhedrin, positions in which the social norm of the day required the men to be married.

Fluctuations in the value of the currency made collection of taxes in kind the norm, although these could be converted into coin.

Current molecular studies in evolution and speciation indicate that although allopatric speciation seems to be the norm in groups ( such as in many invertebrates — especially in the insects ), there are numerous cases of sympatric speciation in groups with greater mobility ( such as the birds ).

Such theorists find narrative ( or, following Nietzsche and Foucault, genealogy ) to be a helpful tool for understanding ethics because narrative is always about particular lived experiences in all their complexity rather than the assignment of an idea or norm to separate and individuated actions.

People born into a particular culture that grow up absorbing the values and behaviors of the culture will develop a worldview that considers their culture to be the norm.

In most European countries it is still the norm to use the term " fatherland " and many would be offended if it was in any way compared with Nazism.