However, some linguistic contexts do not provide sufficient information to disambiguate a used word.

The identity morphism ( identity mapping ) is called the trivial automorphism in some contexts.

The terms of the Artistic License 1. 0 were at issue in a 2007 federal district court decision in the US which was criticized by some for suggesting that FOSS-like licenses could only be enforced through contract law rather than through copyright law, in contexts where contract damages would be difficult to establish.

Alternate definitions of the Abbe number are used in some contexts.

In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.

In some contexts, the signal bandwidth in hertz refers to the frequency range in which the signal's spectral density is nonzero or above a small threshold value.

For example, although the words wee and little are interchangeable in some contexts, wee ( as an adjective ) is almost exclusively written by some people from some parts of northern Britain ( and especially Scotland ) or from Northern Ireland, whereas in Southern England and Wales, little is used predominantly.

In some contexts, " community " indicates a group of people with a common identity other than location.

For example, " 11 December 1999 " can be written in some contexts as " 1999345 " or " 99345 ", for the 345th day of 1999.

In some contexts, numbers and letters are used not so much as a basis for establishing an ordering, but as a means of labeling items that are already ordered.

However, in some of the European and southern hemisphere contexts, confrontational methods of engagement are not always relied on, and dialogical approaches are sometimes advocated.

While the term medical condition generally includes mental illnesses, in some contexts the term is used specifically to denote any illness, injury, or disease except for mental illnesses.

In some contexts it is meaningful to speak of fractions of a charge ; for example in the charging of a capacitor, or in the fractional quantum Hall effect.

In contexts of disasters, nation-states manage the fear not only to provide their citizens with an explanation about the event or blaming some minorities, but also to adjust their previous beliefs.

In some contexts, the fundamental is usually abbreviated as f < sub > 0 </ sub > ( or FF ), indicating the lowest frequency counting from zero.

In some contexts, such as sequencing the genome of a pathogenic microbe, " genome " is meant to include information stored on this auxiliary material, which is carried in plasmids.

In some contexts it is distinguished from the continuous portamento.

Further diacritics are used to indicate variations in the pronunciation of the consonants ( e. g. bet / vet, shin / sin ); and, in some contexts, to indicate the punctuation, accentuation, and musical rendition of Biblical texts ( see Cantillation ).

Under some circumstances, and in some technical contexts, transcluded sections of text may not require strict adherence to the " context neutrality " principle, because the transcluded sections are capable of parameterization.

In some 19th or 20th century contexts, the term may refer specifically to paintings of scenes from secular history, rather than those from religious narratives, literature or mythology.

Today, law enforcement agencies, popular media, the United Nations, other nations and even some medical practitioners can be observed applying the term very broadly and often pejoratively in reference to a wide range of illicit substances, regardless of the more precise definition existing in medical contexts.

Due to objections to the names Hangeul, Chosŏn ' gŭl, and urigeul ( 우리글 ) ( see below ) by Koreans in China, the otherwise uncommon short form jeongeum may be used as a neutral name in some international contexts.

In practice, some authors use measurable functions to refer only to real-valued measurable functions with respect to the Borel algebra.

If a Borel function happens to be a section of some map, it is called a Borel section.

If ( X, Σ ) is some measurable space and A ⊂ X is a non-measurable set, i. e. if A ∉ Σ, then the indicator function 1 < sub > A </ sub >: ( X, Σ ) → R is non-measurable ( where R is equipped with the Borel algebra as usual ), since the preimage of the measurable set

for some Borel measurable function g on Y.

More precisely, a right Haar measure on a locally compact group G is a countably additive measure μ defined on the Borel sets of G which is right invariant in the sense that μ ( A x ) = μ ( A ) for x an element of G and A a Borel subset of G and also satisfies some regularity conditions ( spelled out in detail in the article on Haar measure ).

on the real line R, but isn't square-integrable for the usual Borel measure on R. To properly consider this function as an eigenfunction requires some way of stepping outside the strict confines of the Hilbert space theory.

A subset of a Polish space X is analytic if it is the continuous image of a Borel subset of some other Polish space.

We can also use the Borel functional calculus to abstractly solve some linear initial value problems such as the heat equation, or Maxwell's equations.

The third condition is less important, and some significant methods, such as Borel summation, do not possess it.

Note that if the measure spaces ( X, μ ) is a standard measure space ( that is X − N is a standard Borel space for some null set N and μ is a σ-finite measure ) then L < sup > 2 </ sup >< sub > μ </ sub >( X ) is separable.

If y is a power series that converges in some neighborhood of the origin then it has a Borel sum at some point z if it can be analytically continued to a disc with diameter 0z.

I look for TV sales and production to be approximately equal at 5.7 million sets for the year, but I look for some decline in radios from the high rate in 1961 to more nearly the 1959 level of 15.0 - 15.5 million sets.

Radio broadcasts, however -- now that even plain people could afford `` loud speakers '' on their sets -- held old fans to the major-league races and attracted new ones, chiefly women, who through what the philosopher called the ineluctable modality of audition, became first inured, then attracted, then addicted to the long afternoon recitals of the doings in some distant baseball park.

These axioms are sufficient for many proofs in elementary mathematical analysis, and are consistent with some principles, such as the Lebesgue measurability of all sets of reals, that are disprovable from the full axiom of choice.

This algorithm is often more numerically reliable than the naïve algorithm for large sets of data, although it can be worse if much of the data is very close to but not precisely equal to the mean and some are quite far away from it.

In most concrete settings, however, the objects will be sets with some additional structure and the morphisms will be functions preserving that structure.

" It ends in death, and sets the stage for an album populated by rogues, con men, outcasts, gamblers, gunfighters and desperados, many of them with nothing to lose, some of them out of their minds, all of them quintessentially American.

In some systems of axiomatic set theory, relations are extended to classes, which are generalizations of sets.

In some processes the subsequent layers are stapled or otherwise mechanically fastened to the previous layers, but in other processes the layers are weighted or even vacuum bagged to hold layers together while the resin sets.

Players in some other clubs then agreed to follow the " Portland Club " rules, rather than go to the trouble of codifying and printing their own sets of rules.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In general topological spaces, however, the different notions of compactness are not equivalent, and the most useful notion of compactness — originally called bicompactness — involves families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

In some cases, unqualified coaches and inexperienced squads were attempting dangerous stunts as a result of these expanded sets of rules.

A coil tap is a wiring feature found on some electrical transformers, inductors and coil pickups, all of which are sets of wire coils.

; Level 3-Defined: It is characteristic of processes at this level that there are sets of defined and documented standard processes established and subject to some degree of improvement over time.

Ironically, although the ID tags include religion as a way of ensuring that religious needs will be met, some personnel have them reissued without religious affiliation listed — or keep two sets, one with the designation and one without — out of fear that identification as a member of a particular religion could increase the danger to their welfare or their lives if they fell into enemy hands.

In some older sets, the " one " pip is a colorless depression.

Chinese sets also introduce duplicates of some throws and divide the dominoes into two classes: military and civil.

Diffraction can also be a concern in some technical applications ; it sets a fundamental limit to the resolution of a camera, telescope, or microscope.

By mid-1896 all of Satie's financial means had vanished, and he had to move to cheaper and much smaller lodgings, first at the, and two years later, after he'd composed the two first sets of in 1897, to Arcueil, a suburb some five kilometres from the centre of Paris.

In that story Bugs or his gang usually sets up some sort of trap to get Encyclopedia or Sally in trouble.

Multi-dimensional panel data sets contain observations across time, cross-sectionally, and across some third dimension.

Most fighters up to this point had one engine but a number of twin engined fighters were built, however they were found defenseless against single engine fighters and were relegated to other tasks, some becoming night fighters, fitted with very primitive radar sets.