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

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

Note: The above definition of group velocity is only useful for wavepackets, which is a pulse that is localized in both real space and frequency space.

Note however that Kierkegaard's meaning of " nihilism " differs from the modern definition in the sense that, for Kierkegaard, levelling led to a life lacking meaning, purpose or value, whereas the modern interpretation of nihilism posits that there was never any meaning, purpose or value to begin with.

Note that the example net given above on the neighborhood system of a point x does indeed converge to x according to this definition.

Note that an alternate definition of preorder requires the relation to be irreflexive.

Note that < em > finite </ em > in this definition is essential.

Note that the tensor rank of a matrix can also mean the minimum number of simple tensors necessary to express the matrix as a linear combination, and that this definition does agree with matrix rank as here discussed.

Note, however, that this definition is not universal.

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.

Note: if as in the simplified definition, then is automatically 1, and the order of modulo is automatically.

Note that the definition is somewhat ambiguous because the user of a program can be another program and, if the latter is a portion of the set of program that is required to be interoperable, it might well be that it does need to have knowledge of the characteristics of other units.

Note that when this definition is used, the connection between the NA and the acceptance angle of the fiber becomes only an approximation.

Note that with this definition, unlike SNR, a SINAD reading can never be less than 1 ( i. e. it is always positive when quoted in dB ).

Note that some references may use the reciprocal as the definition.

Note that the enriched structure on hom-sets is a consequence of the three axioms of the first definition.

Note that this definition of the negative binomial distribution does not easily generalize to a positive, real parameter r.

Note that the definition of PSPACE-completeness is based on asymptotic complexity: the time it takes to solve a problem of size n, in the limit as n grows without bound.

Then x is an interior point of S if there exists a neighbourhood of x which is contained in S. Note that this definition does not depend upon whether neighbourhoods are required to be open.

Note that by definition, a linear combination involves only finitely many vectors ( except as described in Generalizations below ).

Note that whereas the Reynolds number and Grashof number are subscripted with a length scale variable, the Prandtl number contains no such length scale in its definition and is dependent only on the fluid and the fluid state.

Note that this definition is very different from that given by Weberling.

" Note that in a cryptic clue, there is almost always only one answer that fits both the definition and the wordplay, so that when you see the answer, you know it is the right answer-although it can sometimes be a challenge to figure out why it is the right answer.

In radar applications, it ranges from 12-18 GHz according to the formal definition of radar frequency band nomenclature in IEEE Standard 521-2002 .< ref > Note that in the band 11. 2 – 12 GHz the working definitions of K < sub > u </ sub > band and X band overlap ; satellite communications engineers would generally regard frequencies above 11. 2 GHz as being part of the K < sub > u </ sub > band .</ ref >

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: In Hebrew, B and V are allophones of the same phoneme ( historically, ba is rendered va-when following a vowel sound ).

Note that none of these listed characteristics are a requirement, as seen in shōnen manga like Yotsuba &!, which features a female lead, and almost no fan service or action, and that what most defines whether or not a series is shōnen are things like the magazine ( see Weekly Shōnen Jump ) it is serialized in or the time slot it airs on T. V.

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, for most filters, | V < sub > 2 </ sub >| will be smaller than | V < sub > 1 </ sub >|.

( Note that (*) guarantees that either all three of U, V, W are positive, or else exactly two are negative.

Note its use of dominant seven chords to make the V chord stronger.

Note the use of the IV chord, used in marches to create a very " uplifting " and lyrical sound which will tend to resolve back to the I chord or proceed into the V chord, as it does here.

Artists included Alexander Kipnis ( III, IV, V ); Herbert Janssen ( II, V ); Gerhard Hüsch ( II, III, IV, V ); John McCormack ( accompanied by Edwin Schneider ) ( II ); Alexandre Trianti ( II, III ); Ria Ginster ( IV, V ); Friedrich Schorr ( II ); Elisabeth Rethberg ( IV, V ); Tiana Lemnitz Each volume was accompanied by a booklet containing a short essay by Ernest Newman ( I: Words and Music in Hugo Wolf, II: Wolf's Goethe Songs, III: A Note of Wolf as Craftsman, IV: The Italienisches Liederbuch ) together with German texts, English translations ( by Winifred Radford ) and notes on each song ( by Newman ).

Note that the quantities V, the volume, and r the radius are expressed as single letters.

A functional defined on some appropriate space of functions with norm < ref group =" Note "> The dot in this norm expression is a placeholder for an element of V, e. g. .</ ref > is said to have a weak minimum at the function if there exists some such that, for all functions with < math >

Note that T is a function of p alone, while V is a function of q alone.

Note that the camshafts are counted per cylinder head, so a V engine with one camshaft in each of its two cylinder heads is still an SOHC design, and a V engine with two camshafts per cylinder head would be described as 2xDOHC, or informally as a ' quad cam ' engine.

Note the inscription for George V reads GEORGIVS VDEI GRA: BRITT: OMN: REX FID: DEF: IND: IMP: while George VI reads GEORGIVS VID: G: BR: OMN: REX F: D: IND: IMP.

( Note that V is

Note that the output voltage will always be about 0. 65V less than the Zener due to the transistor's V < sub > BE </ sub > drop.

Note that ( C < sub > A </ sub > – C < sub > V </ sub >) is also known as the arteriovenous oxygen difference.