Note that if A and B are disjoint subsets of some weighted set ( U, w ), then the Dirichlet series for their ( disjoint ) union is equal to the sum of their Dirichlet series:

( Note: If not, weighted least squares or other methods might instead be used ).

Note that if all the weights are equal, the weighted geometric mean is the same as the geometric mean.

Note that the bias is equal to the weighted portion of z < sub > i </ sub > which is " explained " by x < sub > i </ sub >.

Note that " randomly selected " is weighted by the probability of the observers existing: under SIA you are still unlikely to be an unlikely observer, unless there are a lot of them.

( Note that all World Cup races hosted at ski resorts in Bosnia and Slovakia were held when those countries were still part of Yugoslavia and Czechoslovakia respectively.

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

Note, however, that it is six inches shorter at the forward end.

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

Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.

Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.

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

Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

Note that flexural strength is not always improved by simply increasing the density, nor is the change always proportional from one formulation to another.

Most European domestic power supplies run at 230 V, so the current drawn by a particular European appliance ( in Europe ) will be less than for an equivalent American one ( in the United States ).< ref group =" Note "> The formula for power is given by

Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.

Note that any model of ZF ¬ C is also a model of ZF, so for each of the following statements, there exists a model of ZF in which that statement is true.

Note that there is no directly corresponding concept in the German language.

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

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.

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 this is subtly different to the ' thanks ' list in the original BBC Model B.

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.

* Extension of the Bank to the north-west, the exterior wall was extended around the junction of Lothbury and Princes Street, forming the ' Tivoli Corner ' which is based on the Temple of Vesta, Tivoli that Soane had visited and much admired, halfway down Princes street he created the Doric Vestibule as a minor entrance to the building and within two new courtyards that were surrounded by the rooms he built in 1790 and new rooms including printing offices for banknotes, the £ 5 Note Office and new offices for the Accountants, the Bullion Office off the Lothbury Court ( 1800 – 1808 ).

Note that forming a peptide bond results in elimination of a molecule of water, so the mass of an amino acid unit within a protein chain is reduced by 18. 01524 Da.

Note the greater use of the anterior teats thus forming the teat order

Note that in the case of an astronomical crescent, such as the moon observed in the sky, the outer arc will be 180 ° ( a half-circle as previously mentioned ), while the Islamic crescent symbol ( Arabic هلال hilāl ) is often shown with an outer arc significantly greater than 180 ° ( as seen in the illustrations below ).

Note that the advent of the mini mill steelmaking facility is starting to challenge how far back JIT can be implemented, as the electric arc furnaces at the heart of many mini-mills can be started and stopped quickly, and steel grades changed rapidly.

Note that the image of the pole ’ s top will overlay that of some terrain point which is on the same slant range arc but at a shorter horizontal range (“ ground-range ”).

Note that this arc angle, measured in radians, when multiplied by the sphere's radius equals the arc length.

Note that these are not the arc length parametrizations ( in which case, each of x, y, and z would need to be divided by.

( Note that between different full moons, the Moon's angular diameter can vary from 33. 5 arc minutes at perigee to 29. 43 arc minutes at apogee — a difference of over 10 %.

Note that Marv Wolfman has pointed out the " 321 Days " arc was cut short by two issues due to Batman R. I. P.

Note that in the case of an astronomical crescent, such as the moon observed in the sky, the outer arc will be 180 ° ( a half-circle as previously mentioned ), while the Islamic crescent symbol ( Arabic هلال hilāl ) is generally shown with an outer arc significantly greater than 180 ° ( as seen in the illustrations here ).

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.

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.