Note that the cylinder will not move directly into the flow as a misapplication of the Bernoulli effect would predict, but at a diagonal.

( Note that this particular case of the Bernoulli distribution has the lowest possible excess kurtosis ; this can be proved by Jensen's inequality as follows.

( Note that somewhat confusingly at the time of Barnes the Bernoulli number would have been written as, but this convention is no longer current.

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

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

Note that the points must all be different numbers for them to count towards the fire bet.

Note that this statement is only true when the refractive indices of both materials are real numbers, as is the case for materials like air and glass.

Note that the hex numbers in the following tables are in little-endian byte order, as the format specification prescribes.

Note that ƒ cannot be extended to a homomorphism of rings ( from the complex numbers to the real numbers ), since it does not preserve addition:

Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.

Note: Chapters Zero, and all " in-between " chapters with halves in the numbers are not included in the softcover collection in North America.

Note that these numbers are one more than the formal ordinal numbers according to the isomorphic order, because these are equal to the number of earlier objects ( which corresponds to counting from zero ).

A set T of real numbers ( red and green balls ), a subset S of T ( green balls ), and the infimum of S. Note that for finite set s the infimum and the minimum are equal.

Note: Routing tables are constructed with no duplicate numbers, so that direct dial service can be provided to all network subscribers.

The path loss for the first ten kilometers may be 150 -- 190 dB ( Note: These values are very approximate and are given here only as an illustration of the range in which the numbers used to express the path loss values can eventually be, these are not definitive or binding figures -- the path loss may be very different for the same distance along two different paths and it can be different even along the same path if measured at different times.

Note that numbers are not exact, and may change slightly in the future, as nuclides are observed to be radioactive, or new half-lives are determined to some precision.

Note that this is also true if the boundary is the empty set, e. g. in the metric space of rational numbers, for the set of numbers of which the square is less than 2.

Note that there is no to terminate this program so it produces an endless stream of random numbers from 1 to 9.

Note that neither of these statements implies the other, since there are complete metric spaces which are not locally compact ( the irrational numbers with the metric defined below ; also, any Banach space of infinite dimension ), and there are locally compact Hausdorff space which are not metrizable ( for instance, any uncountable product of non-trivial compact Hausdorff spaces is such ; also, several function spaces used in Functional Analysis ; the uncountable Fort space ).

Note: many American texts have B. pendula and B. pubescens confused, though they are distinct species with different chromosome numbers.

Note however that for prime numbers the function also returns-1, and that.

Note that this usage of the term linear is not the same as the above, because linear polynomials over the real numbers do not in general satisfy either additivity or homogeneity.

Note that although s and S are infinite, this works for finite matrices by only considering Stirling numbers up to some number N.

Note systems involve the use of sequential numbers in the text which refer to either footnotes ( notes at the end of the page ) or endnotes ( a note on a separate page at the end of the paper ) which gives the source detail.

( 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.

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 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 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 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 .)