| Note ( category: variability ): || H and K emission vary.

Note that one can also define a contravariant functor as a covariant functor on the dual category.

Note that, following the property of opposite category,.

** Hondo-Louis L ' Amour ( Note: Originally announced on February 15, 1954 as a nominee in this category.

Note that this is stated in terms of maps – product and inverse must be maps in the category – and without any reference to underlying " elements " of group – categories in general do not have elements to their objects.

Note also that this category does not have a zero object.

Note that a category is called preadditive if just the second holds, whereas it is called semiadditive if both the first and the third hold.

Special Effects ( Note: From 1939 to 1962, Visual Effects nominations were shared with Sound Effects nominations as a combined Special Effects category.

Note that this notion of image may not correspond to the usual notion of image, or range, of a function, even assuming that the morphisms in the category are functions.

Note that when multiracial parentage is involved, infant " race " is arbitrarily assigned to one category or the other ; most often it is chosen by the mother.

Note however that the existence of f has to be assumed from the start ; two objects B and B ′ that simply have isomorphic sub-and factor objects need not themselves be isomorphic ( for example, in the category of abelian groups, B could be the cyclic group of order four and B ′ the Klein four-group ).

The Allman Brothers garnered back to back Grammy Award nominations in 2003 and 2004 in the category of Best Rock Instrumental for performances of " Instrumental Illness " from Hittin ' The Note and One Way Out.

Note that Quiv is the category of presheaves on the opposite category Q < sup > Op </ sup >.

Note that natural transformations can be composed: if μ ( X ): F ( X ) → G ( X ) is a natural transformation from the functor F: C → D to the functor G: C → D, and η ( X ): G ( X ) → H ( X ) is a natural transformation from the functor G to the functor H, then the collection η ( X ) μ ( X ): F ( X ) → H ( X ) defines a natural transformation from F to H. With this composition of natural transformations ( known as vertical composition, see natural transformation ), D < sup > C </ sup > satisfies the axioms of a category.

* Note: User must select the " Classical " category as the genre under the search feature.

Note that the character 文 itself exemplifies the category wén 文, while 字 ( which is composed of 宀 and 子 ) exemplifies zì 字.

: Note: Inductees are listed below in two categories ( Player category and # Contributor category ).

Note: SIGNIFICANT SEVERE area needed where denoted by bold italic type – otherwise default to next lower category.

Note that any regulations that would force speakers to change how or what they say do not fall into this category ( so the government cannot restrict one medium even if it leaves open another ).

Then a finer statement of the s-cobordism theorem is that the isomorphism classes of this category ( up to Cat-isomorphism of h-cobordisms ) are torsors for the respective < ref > Note that identifying the Whitehead groups of the various manifolds requires that one choose base points and a path in W connecting them .</ ref > Whitehead groups Wh ( π ), where

Note: This category is not for Massive multiplayer online games, as those are games which create an ongoing multiplayer setting for hundreds of players.

Note that the étale site is the name for the usual category of schemes considered together with the étale Grothendieck topology.

Note that an exact functor, because it preserves both kernels and cokernels, preserves all images and coimages.

Note that kernel pairs and difference kernels ( aka binary equalisers ) sometimes go by the name " kernel "; while related, these aren't quite the same thing and are not discussed in this article.

Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.

Note that for a Euclidean function that is so established there need not exist an effective method to determine q and r in ( EF1 ).

Note that not all worlds have the same objects: some objects exist in some worlds and not in others.

The functor G is said to preserve the limits of F if ( GL, Gφ ) is a limit of GF whenever ( L, φ ) is a limit of F. ( Note that if the limit of F does not exist, then G vacuously preserves the limits of F .)

Note that a true isotropic radiator does not exist in practice.

Note that the shells exist for both protons and neutrons individually, so that we can speak of " magic nuclei " where one nucleon type is at a magic number, and " doubly magic nuclei ", where both are.

Note that the zero morphism in item 3 can be identified as the identity element of the hom-set Hom ( A, B ), which is an abelian group by item 1 ; or as the unique morphism A → O → B, where O is a zero object, guaranteed to exist by item 2.

One short studio session was made for Riverside ( only released later by its subsidiary Jazzland in 1961 ) and a larger group recording featuring Coltrane was split between that album and Monk's Music ; an amateur tape from the Five Spot ( not the original residency, but a later September 1958 reunion with Coltrane sitting in for Johnny Griffin ) was issued on Blue Note in 1993 ; and a recording of the quartet performing at a Carnegie Hall concert on November 29, previously " rumoured to exist ", was recorded in high fidelity by Voice of America, rediscovered in the collection of the Library of Congress in 2005 and released by Blue Note.

Note that in such areas of research utterances do not exist in written language, only their representations do.

Note that the set of formulas which define real numbers may exist, as a set F ; the limitation of ZFC is that there is no formula which defines F without reference to other sets.

Note that non-elliptic orbits also exist ; If the eccentricity is greater than one, the orbit is a hyperbola.

Note that for reasons above, such a rest frame does not exist for single photons, or rays of light moving in one direction.

Note that many simpler levels of climate model exist ; some are of only heuristic interest, while others continue to be scientifically relevant.

Some 5 inch screen devices exist that run on mobile OSes and have the ability to make phone calls, such as the discontinued Dell Streak and the current Samsung Galaxy Note and Samsung Galaxy Note II.

Note that a causal relationship between the observations and hypothesis does not exist to cause the observation to be taken as evidence, but rather the causal relationship is provided by the person seeking to establish observations as evidence.

Note on spelling: According to the Iranian Chamber Society, the correct spelling of the city in both English and Persian is " Ray ," ( with an " a " vowel sound ) though variations in spelling also exist.

Note that for skewness and kurtosis alternative definitions exist, which are based on the third and fourth cumulant respectively.

Note that candidates of the second type can only exist after candidates of the first type have be added.

:* Note that a subgroup of lowest prime index may not exist, such as in any simple group of non-prime order, or more generally any perfect group.

They paddle in a general canoe style since canoes dragon boats, proa's and rafts are all distinctly differing paddle craft all paddled similarly variations exist due to the size and seating position in the boat ( Note that the sweep is not a helmsman or ' coxswain ', which are British-based naval and competitive rowing terms ( coxswain is also a Canadian War Canoe racing term ) for the person in charge of the boat.