Note that arrows between categories are called functors, subject to specific defining commutativity conditions ; moreover, categorical diagrams and sequences can be defined as functors ( viz.

Note that these categories reflect levels of enhancement not clarity.

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: A press release issued by AMPAS in 2005 states that " Documentary Short Subject winners Benjy ( 1951 ) and Neighbours ( 1952 ) are among a group of films that not only competed, but won Academy Awards in what were clearly inappropriate categories.

Note that the number of dummy variables is always one less than the number of categories: with the two categories male and female there is a single dummy variable to distinguish them, while with the three age categories two dummy variables are needed to distinguish them.

Note that Principles A and B refer to " governing categories "-- domains which limit the scope of binding.

Note that there is an overlap among the last three categories, as some of the Fairchild eight ( such as Noyce and Eugene Kleiner ) left Fairchild to form other companies.

( Note that the latter statement is not true for equivalences between preadditive categories.

Note: In SGA4, tome I, section 1, the notion of left ( right ) exact functors have been defined for general categories, and not just abelian ones.

Note that Wiseman takes Porter ’ s three generic categories: low cost producer, differentiation, and focus, and extends them to five categories: differentiation, cost, innovations, growth, and alliance.

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

Note: Statutes should be included in: Category: United States federal legislation or individual state legislation categories, instead of

Note that categories listed for deletion may end up being renamed, those listed for renaming may end up being deleted, and so forth.

Note: Practically speaking, the function / use of most ōdachi fall into the first two categories — as ceremonial objects and cavalry swords.

Note that stub templates are not normally categorised –: Category: Stub categories and the list at Wikipedia: STUBS between them perform very much the same purpose as a stub template category.

Note that the denominational categories are not used to identify which churches honour a particular martyr, but rather the church to which the martyr belonged.

Note: There are now separate categories and templates for schools in the following continents and countries ( please use these rather than the generic when appropriate ):

( Note that these six categories have accounted for approximately 125 entries — or 5 / 6ths of the players in the final field.

Note, there are also separate categories for the unrelated AAFC franchise of the same name:

Note: For Cypriot people, use and Cypriot categories.

< tr align = center bgcolor =# eeeeee >< td rowspan = 2 > Characteristic </ td >< td colspan = 3 > Space plasma density categories ( Note that density does not refer to only particle density )</ td >< td rowspan = 2 > Ideal comparison </ td ></ tr >

Note that the scripts mentioned above are not considered proper alphabets, as they all lack characters representing vowels.

Note that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.

Note that the RGB color may be premultiplied, hence saving the additional multiplication before RGB in the equation above.

Note: the fasces depicted have no axes, possibly because in the Roman Republic, the blade was always removed from the bundle whenever the fasces were carried inside the city, in order to symbolize the rights of citizens against arbitrary state power ( see above ).

Note: The above definition of group velocity is only useful for wavepackets, which is a pulse that is localized in both real space and frequency space.

Note: Some of the following kings are already listed above as German Kings

Note: Some of the following dukes are already listed above as German Kings

Note that the " Zero Frame " dot is placed above the first character due to the smaller size of 16mm.

Note the curved streamlines above and below the foil, and the overall downward deflection of the air.

Note the narrower streamtubes above and the wider streamtubes below the foil.

Note that from the perspective of the smaller-mass object — from the moon, in the preceding example — a spacecraft might appear to orbit in an irregular path about the or point, but from the perspective above the orbital plane, it becomes clear that both the smaller mass and the spacecraft are orbiting the larger mass ( or more precisely, all of the objects are in orbit around the barycenter of the system ); they simply have overlapping orbital paths.

Note that the example net given above on the neighborhood system of a point x does indeed converge to x according to this definition.

( Note: In the above calculation, the square-root, must be positive.

Note: The above equation applies only to incompressible fluid.

Note that the n-th generation can be found by just taking the n-th power of W substituting it in place of W in the above formula.

( Note that in SQL the heading is not always a set of column definitions as described above, because it is possible for a column to have no name and also for two or more columns to have the same name.

Note that the probability of risk occurrence is difficult to estimate, since the past data on frequencies are not readily available, as mentioned above.

Note that this is the same as above.

( Note that the choice of signs for above follows the space-like convention (−+++).

Note that we require the domains of G < sub > 2 </ sub >, G < sub > 3 </ sub > to be broad enough to make the above properties meaningful.

Note the similarity of the above formula to the ideal gas law and also that osmotic pressure is not dependent on particle charge.

## If not, send F + 1 backwards in time on channel c. Note that this results in a paradox, as the number received in step 3 above is not the same as that sent in this step.

( Note that r is the orbital radius, the distance from the centre of the Earth, not the height above the Equator.

Note that every signaling system can be characterized along each of the above axes of classification.

Note that the above only becomes an issue if the user wishes to ( or has to ) continue to send e-mail remotely, using the same SMTP server which they were previously accessing locally.