Of course, when a simple function is used to estimate data points from the original, interpolation errors are usually present ; however, depending on the problem domain and the interpolation method used, the gain in simplicity may be of greater value than the resultant loss in accuracy.

In mathematical analysis, the intermediate value theorem states that for each value between the least upper bound and greatest lower bound of the image of a continuous function there is at least one point in its domain that the function maps to that value.

The function is surjective because every point in the codomain is the value of f ( x ) for at least one point x in the domain.

The difference between being uniformly continuous, and simply being continuous at every point, is that in uniform continuity the value of δ depends only on ε and not on the point in the domain.

In most cases the number of these states is two, and they are represented by two voltage bands: one near a reference value ( typically termed as " ground " or zero volts ) and a value near the supply voltage, corresponding to the " false " (" 0 ") and " true " (" 1 ") values of the Boolean domain respectively.

Domain names are often seen in analogy to real estate in that ( 1 ) domain names are foundations on which a website ( like a house or commercial building ) can be built and ( 2 ) the highest " quality " domain names, like sought-after real estate, tend to carry significant value, usually due to their online brand-building potential, use in advertising, search engine optimization, and many other criteria.

Various factors influence the perceived value or market value of a domain name.

That is, the function provides an " output " or value for each member of the domain.

Given a function f: X → Y, the set X is the domain of f ; the set Y is the codomain of f. In the expression f ( x ), x is the argument and f ( x ) is the value.

* As is the case with any property interest, a conservation easement may be taken by eminent domain ( and thereby extinguished ) when the public value of the proposed project exceeds that of the conservation interest being protected by the easement.

* In RDF, a property is a property of an RDF class, possessing a value domain and range

A mail exchanger record ( MX record ) is a type of resource record in the Domain Name System that specifies a mail server responsible for accepting email messages on behalf of a recipient's domain, and a preference value used to prioritize mail delivery if multiple mail servers are available.

The characteristic payload information of an MX record is the fully qualified domain name of a mail host and a preference value.

Rather, the scientific method is used to proof the integrity of a value system and to establish its conclusions as consistent with the assumptions used, thereby enabling further extrapolation within that domain.

In the time domain, the signal or function's value is known for all real numbers, for the case of continuous time, or at various separate instants in the case of discrete time.

A tuple is an ordered multiset of attributes, which are ordered pairs of domain and value ; or just a row.

We define headers as finite subsets of C. A relational database schema is defined as a tuple S = ( D, R, h ) where D is the domain of atomic values ( see relational model for more on the notions of domain and atomic value ), R is a finite set of relation names, and

The domain was protected for its aesthetic value by Royal Decree on 10 June 1963, then registered on the Walloon main heritage list in 1993, and eventually listed as a Natura 2000 site.

Furthermore, later in the game the person may even learn to love the game itself, value its applications in life, and appreciate its history ( affective domain ).

By that time we should be in a much better position to determine the value of that aircraft as a weapon system.

There is another means which should show the direction and relative value of the stresses in viscoelastic fluids that is not mentioned as such in the literature, and that is the shape of the suspended drops of low viscosity fluids in shear fields.

After shifting, a conditional xor with 0x11B should be performed if the shifted value is larger than 0xFF.

However, in 2004, Maher concluded that " Physical treatments, such as acupuncture, backschool, hydrotherapy, lumbar supports, magnets, TENS, traction, ultrasound, Pilates therapy, Feldenkrais therapy, Alexander technique, and craniosacral therapy are either of unknown value or ineffective and so should not be considered " when treating lower back pain with an evidence-based approach.

An argument for the value of art, used in the fictional work ' The Hitchhikers Guide to the Galaxy ', proceeds that, if some external force presenting imminent destruction of Earth asked humanity what it's value was -- what should humanity's response be?

where a should be the same value used before.

Such a move adds greatly to the risk of having to face the doubling cube coming back at 8 times its original value when first doubling the opponent ( offered at 2 points, counter offered at 16 points ) should the luck of the dice change.

Just as action according to Lǐ should be adapted to conform to the aspiration of adhering to yì, so yì is linked to the core value of rén (). Rén consists of 5 basic virtues: seriousness, generosity, sincerity, diligence and kindness.

He agreed that the UK and US should carefully negotiate the details of the marine reserve to assure that US interests were safeguarded and the strategic value of BIOT was upheld.

The guiding principle for the qualification of Dublin Core elements, colloquially known as the Dumb-Down Principle, states that an application that does not understand a specific element refinement term should be able to ignore the qualifier and treat the metadata value as if it were an unqualified ( broader ) element.

While this may result in some loss of specificity, the remaining element value ( without the qualifier ) should continue to be generally correct and useful for discovery.

One author advises that " the knowledge gained from clinical research does not directly answer the primary clinical question of what is best for the patient at hand " and suggests that evidence-based medicine should not discount the value of clinical experience.

Secular perennialists espouse the idea that education should focus on the historical development of a continually developing common western base of human knowledge and art, the timeless value of classic thought on central human issues by landmark thinkers, and revolutionary ideas critical to historical western paradigm shifts or changes in world view.

In his mind, the state should control international relations, the value of money, and remain an autarky.

* The trailer ( a single byte of value 0x3B, a semi-colon < tt >';'</ tt >), which should be the last byte of the file.

Some argue that it should not be, due to this negative meaning ; others argue that some kludges can, for all their ugliness and imperfection, still have " hack value ".

That is, every hash value in the output range should be generated with roughly the same probability.

Because entropy can be conditioned on a random variable or on that random variable being a certain value, care should be taken not to confuse these two definitions of conditional entropy, the former of which is in more common use.

Some factors that influence which classification information should be assigned include how much value that information has to the organization, how old the information is and whether or not the information has become obsolete.

The sophistication of the access control mechanisms should be in parity with the value of the information being protected – the more sensitive or valuable the information the stronger the control mechanisms need to be.

That they should be exempted from all Taxes, and that all the Apparel and Jewels, though of never so great value, left by their dead Husbands, should be their own.

The valuation of the Koh-i-Noor is given in the legend that one of Nader Shah's consorts supposedly said, " If a strong man should take five stones, and throw one north, one south, one east, and one west, and the last straight up into the air, and the space between filled with gold and gems, that would equal the value of the Koh-i-noor.

When speaking in terms of a labor theory of value, value, without any qualifying adjective should theoretically refer to the amount of labor necessary to the production of a marketable commodity, including the labor necessary to the development of any real capital employed in the production.