Note that using a hierarchical system like this ( assuming it is done carefully ) changes the intersection computational time from a linear dependence on the number of objects to something between linear and a logarithmic dependence.

Note that this definition is tied to the critical density of the present cosmological era: the critical density changes with cosmological time, but the energy density due to the cosmological constant remains unchanged throughout the history of the universe.

Sometimes his name is turned into the Frankish name Rodolf ( us ) or Radulf ( us ) or the French Raoul, that are derived from it .< ref group =" Note "> Rou is the result of a series of French regular phonetic changes from Hrólfr > Rolf > Rouf to Rou ( see Lepelley 15-16 ) and Norman names in-ouf and-ou ( t ): I ( n ) gouf and Ygout < Old Norse Ingulfr / Ingólfr ( Old Danish Ingulf ).

Note that the figure to the right implies that the MAC occurs at a point where leading or trailing edge sweep changes.

Note: Territorial changes in East-Belgium occurred in 1925, 1940 and 1944.

Note that if usual data compression algorithms are used, files that are similar when uncompressed may be very different when compressed, and thus the entire file will need to be transferred – local changes in uncompressed files yield global changes in compressed files.

Note: The link points to a " consleg "- version of the directive, that may not include the very latest changes.

Note that since the permeability of ferromagnetic materials changes with applied magnetic flux, the inductance of a coil with a ferromagnetic core will generally vary with current.

Note that although we are looking at success / failure, the data are not accurately modeled by the binomial distribution, because the probability of success on each trial is not the same, as the size of the remaining population changes as we remove each marble.

Note: Some home console versions of NBA Jam were coded later than others, and as a result of real-life roster changes or in the cases of Charles Barkley and Shaquille O ' Neal, legal reasons, some rosters differ from version to version.

Note: Since ISO 3166-2 is only occasionally updated, this table does not necessarily reflect the latest subdivision changes.

Note how merely correcting for the initial gust front can have dire consequences. Strong outflow from thunderstorms causes rapid changes in the three-dimensional wind velocity just above ground level.

Note there is no preferred order of the eigenvectors in P ; changing the order of the eigenvectors in P just changes the order of the eigenvalues in the diagonalized form of A.

Note that the tempi of the two instruments are almost identical, so that both parts are perceived as being in the same tempo: the changes only separate the parts gradually.

The American Bank Note Company acquired Continental in 1879, and took over the contract printing similar designs on softer papers and with some color changes.

Note the huge geographic changes — a large lake around Zrenjanin is today dried out.

Note that because of the complicated Gregorian leap-year rules, these patterns break near some century changes.

Note that there have been minor changes in the orthography since it was first adopted: < x > () was originally represented as " th ", and there has been some confusion among authors in the use of " c " and " ch " in representing the phonemes and, with some early works using " c " for and " ch " for and even " c " for different phonemes depending on where it appears in a word.

( Note: Due to the loophole of which Earl Weaver took advantage, there was a rule change shortly thereafter that states the DH must come to bat at least once, unless the opposing team changes pitchers.

Note that any changes to the ext2 on-disc format may prevent booting.

Note that even small changes in the source input ( here in the word " over ") drastically change the resulting output, by the so-called avalanche effect.

Note that any of the above may be changed with appropriate changes to the configuration file.

* 1953: The $ 10 silver certificate had several design changes analogous to the 1950 Federal Reserve Note design changes ; also, the blue numeral 10 on the left side of the bill was changed to gray.

Note that the vertical subpixels could be split in half vertically to double the vertical resolution as well: the current LCD panels already typically use two colour LEDs ( aligned vertically and displaying the same lightness, see the zoomed images below ) to illuminate each vertical subpixel.

Note that Haldane's model assumes independence of genes at different loci ; if the selection intensity is 0. 1 for each gene moving towards fixation, and there are N such genes, then the reproductive capacity of the species will be lowered to 0. 9 < sup > N </ sup > times the original capacity.

Note that radiation intensity is the count rate, but this does not take into account the energy levels of the radiation being measured.

Note that an intensity autocorrelation has a background that is ideally half as big as the actual signal.

Note that it does not vary in proportion as with a general inflation or deflation that changes both prices by the same percentage: the exact result depends on the relative " capital intensity " of the two sectors.

( 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 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 .)