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: 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: The storm categories above are as defined by the Australian Bureau of Meteorology, and differ from those used in the United States.

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: So far as State Police cars are concerned, only their replacement is under this division ).

( Note how strongly the upper lats and serratus are worked in this fine exercise because of the pin-point concentration of force which the dumbbell variation affords ).

( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.

Note that there are 3 trials of interest.

Quite other feelings are evidenced by this style: Af Note the drop to pitch 1 ( the lowest ) on mother with no rise at the end of the sentence ; ;

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

( Note that by designating cardinal directions for 1 ,-1,, and, complex numbers such as are considered constructible.

Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all

Note, however, that the fifth article did not completely deny perseverance of the saints ; Arminius, himself, said that " I never taught that a true believer can … fall away from the faith … yet I will not conceal, that there are passages of Scripture which seem to me to wear this aspect ; and those answers to them which I have been permitted to see, are not of such as kind as to approve themselves on all points to my understanding.

* Note that most ancient Roman sources are quite critical of Agrippina the Younger, because she was seen as stepping outside the conservative Roman ideals regarding the roles of women in society.

Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.

Note: because Solar System bodies are never perfect diffuse reflectors, astronomers use empirically derived relationships to predict apparent magnitudes when accuracy is required.

Note that the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product

Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.

Note, however, that many municipal bonds are callable, and that this imposes substantial additional risks to the strategy.

Note: This table represents active equipment only ; there are large numbers of equipment in reserve status.

Note however that both in algebra and model theory the binary operations considered are defined on all of S × S.

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: Concentrations of Cr ( VI ) in US municipal drinking water supplies reported by EWG are within likely, natural background levels for the areas tested and not necessarily indicative of industrial pollution ( CalEPA Fact Sheet ), as asserted by EWG.

Note that although the carbonate salts of most metals are insoluble in water, the same is not true of the bicarbonate salts.

Note the position of the hydroxyl group ( red or green ) on the anomeric carbon relative to the CH < sub > 2 </ sub > OH group bound to carbon 5: they are either on the opposite sides ( α ), or the same side ( β ).

( Note that the sets are open in the subspace topology even though they are not open as subsets of R .)