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.

Because the spectrum from Planck's law of black body radiation takes a different shape in the frequency domain from that of the wavelength domain, the frequency location of the peak emission does not correspond to the peak wavelength using the simple relationship between frequency, wavelength, and the speed of light.

For example, some visual area V1 simple cells ' receptive fields can be well described by a Gabor filter in the space domain multiplied by a modulation function in the time domain.

The most simple system is named DAB Digital Radio, for Digital Audio Broadcasting, and uses the public domain EUREKA 147 ( Band III ) system.

The general case can be deduced from this special case by approximating the domain D by a union of simple domains.

SOCKS4a is a simple extension to SOCKS4 protocol that allows a client that cannot resolve the destination host's domain name to specify it.

Fee simple ownership represents an ownership interest in real property, though it is limited by government powers of taxation, eminent domain, police power, and escheat, and it could also be limited further by certain encumbrances or conditions in the deed.

Again, the strength of this system was the choice of a very specific domain and a very simple world with rules of physics that were easy to encode in a computer program.

Actual Copyright status unknown, but assumed to have entered public domain as a " simple " photographic work ( 25 years ) or documentary work ( 50 years ).

Hover is a simple domain registration service powered by Tucows Inc, that started in July 2008.

Analytic methods typically use the structure of mathematics to arrive at a simple, elegant solution, but the required derivation for all but the simplest domain geometries can be quite complex ( involving non-standard coordinates, conformal mapping, etc .).

As of 2010, the retail cost generally ranges from a low of about $ 7. 50 per year to about $ 35 per year for a simple domain registration, although registrars often drop the price far lower – sometimes even free – when ordered with other products such as web hosting services.

In the case that the ground field F has characteristic zero, the nth Weyl algebra is a simple Noetherian domain.

Once land was a part of the U. S. public domain, it was thereafter held in allodial title, meaning that it could not be alienated from federal authority, but might be removed from the public domain ( as in the creation of a new state ) or transferred and owned in fee simple.

Hostnames may be simple names consisting of a single word or phrase, or they may have appended a domain name, which is a name in a Domain Name System ( DNS ), separated from the host specific label by a period ( dot ).

However, " anti-copyright " statements typically do not take the form of either sophisticated open content licenses or a simple dedication to the public domain ; instead, they usually just encourage wide distribution.

To keep matters simple, we will define an orchestrator as the entity that manages complex cross domain ( system, enterprise, firewall ) processes and handle exceptions.

Classic examples of simple, but not semisimple, rings are the Weyl algebras, such as Q < x, y >/( xy-yx-1 ) which is a simple noncommutative domain.

Informally, to estimate the area of a domain D, first pick a simple domain E whose area is easily calculated and which contains D. Now pick a sequence of random points that fall within E. Some fraction of these points will also fall within D. The area of D is then estimated as this fraction multiplied by the area of E.

The entire functions on the complex plane form an integral domain ( in fact a Prüfer domain ).

With the exception of the possible CCA cryptographic attack described in the limitations section below, the attacker can only know the fact that a connection is taking place between the two parties, already known to him, the domain name and IP addresses.

In fact, f coincides with its Taylor series at a in any disk centered at that point and lying within the domain of the function.

In fact the activities banned on the Sabbath are not " work " in the usual sense: They include such actions as lighting a fire, writing, using money and carrying in the public domain.

However, many others are either lost or in the public domain ( in fact, per US law, all films released before 1923 are in the public domain ).

The common contemporary Latin legal term used in documents of the Holy Roman Empire was for a long time regnum (" rule, domain, empire ", such as in Regnum Francorum for the Frankish Kingdom ) before imperium was in fact adopted, the latter first attested in 1157, whereas the parallel use of regnum never fell out of use during the Middle Ages.

The French prefix sur means over or above and relates to the fact that the image of the domain of a surjective function completely covers the function's codomain.

The fact that the density is positive definite and convected according to this continuity equation, implies that we may integrate the density over a certain domain and set the total to 1, and this condition will be maintained by the conservation law.

If in addition all of the elements in the codomain are in fact mapped to by some element of the domain, then the function is said to be bijective ( see figures ).

Note that this application is not a contradiction to the fact that conformal mappings preserve angles, they do so only for points in the interior of their domain, and not at the boundary.

Cao Pi's strategist Liu Ye suggested that Cao Pi decline — and in fact attack Sun Quan on a second front, effectively partitioning Sun's domain with Shu, and then eventually seek to destroy Shu as well.

If R = K is a field, then K (( X )) is in fact a field, which may alternatively be obtained as the field of fractions of the integral domain K < nowiki ></ nowiki > X < nowiki ></ nowiki >.

To bring the numerical values of parameters μ, σ into the domain where strong inequality holds true one could use the fact that if X is log-normally distributed then X < sup > m </ sup > is also log-normally distributed with parameters μm, σm.

In fact a Dedekind domain is a unique factorization domain ( UFD ) if and only if it is a PID.

At the same time, Kummer developed powerful new methods to prove Fermat's Last Theorem at least for a large class of prime exponents using what we now recognize as the fact that the ring is a Dedekind domain.

Another illustration of the delicate / robust dichotomy is the fact that being a Dedekind domain is, among Noetherian domains, a local property -- a Noetherian domain is Dedekind iff for every maximal ideal of the localization is a Dedekind ring.

In fact, this is the definition of a Dedekind domain used in Bourbaki's " Commutative algebra ".

The frequency spectrum of the modulated color signal overlaps that of the baseband signal, and separation relies on the fact that frequency components of the baseband signal tend to be near harmonics of the horizontal scanning rate, while the color carrier is selected to be an odd multiple of half the horizontal scanning rate ; this produces a modulated color signal that consists mainly of harmonic frequencies that fall between the harmonics in the baseband luma signal, rather than both being in separate continuous frequency bands alongside each other in the frequency domain.

However, if R is the ring of algebraic integers in an algebraic number field, or more generally a Dedekind domain, the multiplication defined above turns the set of fractional ideal classes into an abelian group, the ideal class group of R. The group property of existence of inverse elements follows easily from the fact that, in a Dedekind domain, every non-zero ideal ( except R ) is a product of prime ideals.

At the center of the area they discover the Nameless City ( the setting of the Lovecraft story of the same name ) and in Derleth's text the domain of the Great Old One Hastur.

A broadcast domain can be within the same LAN segment or it can be bridged to other LAN segments.

In terms of current popular technologies: Any computer connected to the same Ethernet repeater or switch is a member of the same broadcast domain.

Further, any computer connected to the same set of inter-connected switches / repeaters is a member of the same broadcast domain.

This is as compared to a collision domain, which would be all nodes on the same set of inter-connected repeaters, divided by switches and learning bridges.

This means that, in complex analysis, a function that is complex-differentiable in a whole domain ( holomorphic ) is the same as an analytic function.

* " Has the same image under a function " on the elements of the domain of the function.

Thus an equivalence relation over X, a partition of X, and a projection whose domain is X, are three equivalent ways of specifying the same thing.

The same construction can be generalized to the field of fractions of any integral domain.

In full-duplex mode, both devices can transmit and receive to and from each other at the same time, and there is no collision domain.

This generalized Euclidean algorithm can be put to many of the same uses as Euclid's original algorithm in the ring of integers: in any Euclidean domain, one can apply the Euclidean algorithm to compute the greatest common divisor of any two elements.

An arbitrary PID has much the same " structural properties " of a Euclidean domain ( or, indeed, even of the ring of integers ), but knowing an explicit algorithm for Euclidean division, and thus also for greatest common divisor computation, gives a concreteness which is useful for algorithmic applications.

This is combined with time domain statistical multiplexing ; i. e., packet mode communication, which makes it possible for several users to share the same frequency channel.

Since one cannot logically consider these subjects to be both " at the same moment " and " away in time ", an exclusive choice has to be made that defines these two separate domains, B and C. Our reality or domain B is created by the complex, but consistent transformation of A by our biological and mental makeup.

However, there are declarations that purport to place a work in the public domain or, in the case of the CC Zero licence, give it the same freedoms as works in the public domain.

A fundamental theorem states that every spline function of a given degree, smoothness, and domain partition, can be uniquely represented as a linear combination of B-splines of that same degree and smoothness, and over that same partition.

If R is commutative, then one can associate to every polynomial P in R, a polynomial function f with domain and range equal to R ( more generally one can take domain and range to be the same unital associative algebra over R ).

In addition, the transactivation and signal-sensing functions are frequently contained within the same domain.

* The domain name portion of a URL is not case sensitive since DNS ignores case: < tt >< nowiki > http :// en. example. org /</ nowiki ></ tt > and < tt >< nowiki > HTTP :// EN. EXAMPLE. ORG /</ nowiki ></ tt > both open the same page.