( Note on numbering: Pope Benedict X is now considered an antipope.

( Note on numbering: Pope Boniface VII is now considered an antipope.

Note the reverse numbering order.

Note that some sources switch the numbering of the second and third theorems.

Note on numbering of popes: There has never been a Pope Martin II or Pope Martin III.

Note: The numbering system, 1 through 68, used here is from the Neue Bach-Ausgabe ( New Bach Edition ).

Note also that the male children within a single nuclear family need not bear sequential numbers, as all members of the larger family use a common numbering system.

Note: Exits numbers increase from north to south, the opposite of the standard Interstate numbering scheme.

Note: As of February 2006 new letter classes will be used in conjunction with the new horsepower based numbering system ( The Z on the end of some class letters refers to locomotives fitted with ZTR ).

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

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 by Western standards this plan was `` upside down '', as it put North at the bottom and South at the top, with the other directions correspondingly altered ; ;

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 this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.

In 2004, she accorded three stars to chef Jean-Georges Vongerichten ’ s Spice Market restaurant after Vongerichten gave her book Cooking for Mr. Latte a positive blurb ; the Times spotlighted the incident with an Editor ’ s Note.

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

Note that just because a player is described as being " at bat " in this sense, he will not necessarily be given an at bat in his statistics ; the phrase actually signifies a plate appearance ( assuming it is eventually completed ).

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 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 the same set of points would not have, as an accumulation point, any point of the open unit interval ; hence that space cannot be compact.

Note that for any fixed w the function f ( x ) = F ( w x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion.

Note that this is before the effects of round-off error are taken into account ; conditioning is a property of the matrix, not the algorithm or floating point accuracy of the computer used to solve the corresponding system.

Note: Step ( in the description below ) is defined as: a transfer / change of weight to the opposite foot while hopping ( this is usually minimal ; almost more of a scoot than a literal hop ).

Note also that the terms are not always treated as mutually exclusive ; there is not necessarily anything contradictory in the statement that " the language of the Pennsylvania Dutch is a dialect of German ".

Note how the word endings do not coincide with the end of a metrical foot ; for the early part of the line this forces the natural accent of each word to lie in the middle of a foot, playing against the natural rhythm of the ictus.

Note that a dominatrix does not necessarily dominate a male partner ; a dominatrix may well have female submissives, nor must the role of a dominatrix involve pain toward the submissive ; her domination can be verbal, involving humiliating tasks and servitude.

( Note that there are N independent eigenvectors ; a unitary matrix is never defective.

Notable jazz bassists from the 1940s to the 1950s included bassist Jimmy Blanton ( 1918 – 1942 ) whose short tenure in the Duke Ellington Swing band ( cut short by his death from tuberculosis ) introduced new melodic and harmonic solo ideas for the instrument ; bassist Ray Brown ( 1926 – 2002 ), known for backing Beboppers Dizzy Gillespie, Oscar Peterson, Art Tatum and Charlie Parker, and forming the Modern Jazz Quartet ; hard bop bassist Ron Carter ( born 1937 ), who has appeared on 3, 500 albums make him one of the most-recorded bassists in jazz history, including LPs by Thelonious Monk and Wes Montgomery and many Blue Note Records artists ; and Paul Chambers ( 1935 – 1969 ), a member of the Miles Davis Quintet ( including the landmark modal jazz recording Kind of Blue ) and many other 1950s and 1960s rhythm sections, was known for his virtuosic improvisations.

Note another piece of wood six inches wide is fastened to the transom between these pieces.

Note extent of these interests and how available they will be for the public to enjoy.

Note however, that the allemandes, that occur in these suites do not correspond to a French dance from the same period.

( Note that prior to the 1995 renovations, some of these houses, particularly North and Caven, ' traditionally ' sat elsewhere )

: Note: Individual casinos may pay some of these bets at different payout ratios than those listed below.

Note that these should not be called concentrations.

Note, not all CUC members like this playful reading and so when these people write the abbreviation they leave out the star (*), just writing UU instead.

Note that any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).

Note that the Bernoulli numbers are defined as B < sub > n </ sub > = B < sub > n </ sub >( 0 ), and that these vanish for odd n greater than 1.

Note that these categories reflect levels of enhancement not clarity.

Note: Many of the essays found in these works have been individually translated and can be found in the English collections.

Note that these drugs do not treat hyperthyroidism or any of its long-term effects if left untreated, but, rather, they treat or reduce only symptoms of the condition.

Note that these concerns have nothing to do with the importance of messages.

Note that these arguments may indeed have validity, but they require some independent justification of the connection between their terms: otherwise the argument ( as a logical tool ) remains fallacious.

Note that there is no contradiction among these two results ; both computations are correct.

Note that these efficiencies are for the LED chip only, held at low temperature in a lab.

( Note that these relations are true for theoretical and experimental values, but not between experimental and theoretical values.

Note that not all of these countries maintain embassies in the country

Note that these treatments need to be prescribed and monitored carefully to avoid harmful side-effects such as neuroleptic malignant syndrome with the antipsychotic medications.

Note that some of these tasks have direct real-world applications, while others more commonly serve as subtasks that are used to aid in solving larger tasks.

Note that these equations are for fissions caused by slow-moving ( thermal ) neutrons.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that most of these verses do not distinguish between the conditional election ( Arminian ) and unconditional election ( Calvinist ), but are simply evidence of some type of election.

Note that few database servers implement the entire SQL standard and in particular do not allow some of these deviations.