Note, however, that if the sum can be performed in twice the precision, then ε is replaced by ε < sup > 2 </ sup > and naive summation has a worst-case error comparable to the O ( nε < sup > 2 </ sup >) term in compensated summation at the original precision.

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

Note that this definition cannot be expressed in the language of set theory itself.

Note that there is also the " theory of fields " which constitutes a separate discipline in physics, formally treated as distinct from mechanics, whether classical fields or quantum fields.

Note that the term theory would not be appropriate for describing untested but intricate hypotheses or even scientific models.

Note that the word " theory " also exists in mathematics, to denote a body of mathematical axioms, definitions and theorems, as in, for example, group theory.

Note that the existence of the Cartesian product can be proved without using the power set axiom, as in the case of the Kripke – Platek set theory.

Note that the use of natural numbers both in S and the existential quantification merely reflects the usual applications in computability and model theory.

( Note that some other algorithms may also output confidence values, but in general, only for probabilistic algorithms is this value mathematically grounded in probability theory.

In response to the " temporary dispensation " theory, they point to Hirsch in Collected Writings as continually stressing the philosophical and religious imperative of Torah im Derech Eretz for all times ( Note that Hirsch himself addressed this contention: " Torah im Derech Eretz ... is not part of troubled, time bound notions ; it represents the ancient, traditional wisdom of our sages that has stood the test everywhere and at all times.

Note, however, that the circle of forces strictly applies to an individual tyre rather than an entire vehicle, that a slightly elongated ellipsis would be more realistic than a circle, and that the theory of traction involving this circle or ellipsis is quite simplified.

Note that in a typical non-abelian gauge theory the gauge boson carries the charge of the theory, and hence has interactions of this kind ; for example, the W boson in the electroweak theory.

( Note that running time is measured in terms of the size of the input, which in this case is ~ log n, that being the number of bits needed to represent the number n .) The elliptic curve primality test can be proven to run in O (( log n )< sup > 6 </ sup >), but only if some still unproven ( but widely assumed to be true ) statements of analytic number theory are used.

Note that the term theory would not be appropriate for describing untested but intricate hypotheses or even scientific models.

Tenney's work deals with perception ( For Ann ( rising ), see Shepard tone ), just intonation ( Clang, see gestalt ), stochastic elements ( Music for Player Piano ), information theory ( Ergodos, see ergodic theory ), and with what he called ' swell ' ( Koan: Having Never Written A Note For Percussion for John Bergamo ), which is basically arch form.

Note that there is sometimes also a corresponding soliton in a theory with one additional space dimension.

Note that in contrast to classical theory, more than two linked components may appear.

" ( Note that this assessment is according to the Air Ministry of which the most senior individuals were involved in using the Big Wing theory as the means to conspire against Dowding.

Note: Many terms used in this article are defined in Glossary of graph theory.

Note that this proof of existence of stellar black holes is not entirely observational but relies on theory: We can think of no other object for these massive compact systems in stellar binaries besides a black hole.

Note that any serious development of the concept must eventually assume a theory of meaning as its foundation Gurwitsch: 1985.

** Note: This was edited by Marker essentially, this film is a 27-minute postscript to Le Joli Mai assembled from leftover footage and organized around a new commentary ( Film Comment ).

< cite id =" demographics "> Note I </ cite >-There were around 300, 000 people () working as electrical engineers in the US ; in Australia, there were around 17, 000 () and in Canada, there were around 37, 000 (), constituting about 0. 2 % of the labour force in each of the three countries.

Note the gold inserts around the chest area of the bronze breastplate at the centre of the exhibit.

Note the yellow main charge wrapped around a red explosive booster | booster charge, and the secondary fuze well on the side of the mine designed for an anti-handling device

Note that from the perspective of the smaller-mass object — from the moon, in the preceding example — a spacecraft might appear to orbit in an irregular path about the or point, but from the perspective above the orbital plane, it becomes clear that both the smaller mass and the spacecraft are orbiting the larger mass ( or more precisely, all of the objects are in orbit around the barycenter of the system ); they simply have overlapping orbital paths.

Note that Karachentsev divides this group into two subgroups centered around IC 342 and Maffei 1.

Note that that while bound orbits around a point mass or around a spherical body with an Newtonian gravitational field are closed ellipses, which repeat the same path exactly and indefinitely, any non-spherical or non-Newtonian effects ( as caused, for example, by the slight oblateness of the Earth, or by relativistic effects, changing the gravitational field's behavior with distance ) will cause the orbit's shape to depart from the closed ellipses characteristic of Newtonian two-body motion.

Note: during 1998, the exchange rate splintered into four distinct rates ; in January 1999 the government floated the guilder, but subsequently fixed it when the black-market rate plunged ; the government then allowed trading within a band of SRG 500 around the official rate

Note that the force and acceleration approach zero generally around θ =

Note that the threshold voltage for this device lies around 0. 45 V. Nanowire MOSFETs lie towards the end of the ITRS roadmap for scaling devices below 10 nm gate lengths.

Note that the threshold voltage for this device lies around 0. 45 V.

Note that the REN of modern telephone equipment may be significantly lower than 1: as a rough guide, externally-powered digital-ring phones may have a REN as low as 0. 1, while modern analog-ring phones ( where the ringer is powered from the phone line ) typically have a REN around 0. 8.

Note the Stations of the Cross around the arena and the extensive vegetation, both removed later in the 19th century.

Note that the threshold voltage for this device lies around 0. 45V.

Note that the electrostatic field does not contribute to the net emf around a circuit because the electrostatic portion of the electric field is conservative ( that is, the work done against the field around a closed path is zero ).

Note that if the terms were swapped around in the first co-premise or if the first premise was rewritten to " Only Zs and Ys can be Bs " then it would no longer be a fallacy, although it could still be unsound.

Originally, the country had one royal district ( Ginae ; 기내 ; ) around Gaegyeong and twelve administrative districts ( Mok ; 목 ; ): ( Note that Gwangju-mok is modern-day Gwangju-si in Gyeonggi Province, not the larger Gwangju Metropolitan City.

Note that part of that profit results from turning the company around, and part results from the general increase in share prices in a buoyant stockmarket, the latter often being the greater component.

Note that second cornet was the logical and quite demanding seat for the premier cornetist in a two-cornet band, as evidenced by Louis Armstrong's role ( one example of many ) in similar sized bands and orchestras around the same period.

( Note that the Isle of Swans discussed here should not be confused with the Isle of Swans that sits in the middle of the Seine downstream and around the next bend in the river, between the fifteenth and sixteenth arrondissements.

( Note: Coinage and particularly coin clipping was a hot topic of public concern around 1696 ).