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Page "Spectrum (functional analysis)" ¶ 21
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Note and approximate
Note: all dates from this long ago should be regarded as either approximate or conjectural ; there are no absolutely certain dates, and multiple competing reconstructed chronologies, for this time period.
: Note 2: Generally, 33. 5 dBrnC ± 2. 5 dB is considered the approximate equivalent PCM noise of a 7-bit PCM system.
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: Multiplying historical U. S. prices of the period by 15 will result in an approximate value in today's prices .< ref >
Note: 7. Nd2 is also a viable choice of move for white, although this still only offers approximate equality.
Note that the percentage 68 % is approximate as the exact percentage that corresponds to one standard deviation is slightly larger than this.
Note: percentages are approximate
Note: percentages are approximate
Note: Percentages are approximate
Note: Percentages are approximate
Note, these width ratios are approximate and should be taken with large pinches of salt.
Note that these are only rough and approximate stereotypes, and are greatly complicated both by further stereotypes by province, city, or even county, and by real life.
Note that the point size correspondences given here are approximate — often, especially for the smaller ones, the exact size of the original, physical font would vary from foundry to foundry and from country to country.
Note: distances stated are approximate straight-line distances from source.
Note that this shop has taken on the name of the former, much larger, shop at The Land which occupied the same approximate area.
Note that as the election was held before the establishment of formal political parties, the figures should only be regarded as an approximate indication of the division of political opinion.

Note and point
* Note: Botswana does not have a westernmost point as the western section is formed by the 22nd meridian of longitude east of Greenwich.
* Note: technically Chad does not have an easternmost point, the northern section of the border being formed by the 24 ° of latitude
* * Note: this is also the westernmost point of Africa
) 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 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.
Years are usually counted from a particular starting point, usually called the epoch, with era referring to the particular period of time ( Note the different use of the terms in geology ).
Note that a mixture with a given composition has one boiling point at a given pressure, when the components are mutually soluble.
* * Note: Guinea does not have a northern-most point, this section of the border being formed by a straight horizontal line
* * Note: Guinea-Bissau does not have a northern-most point, the border here being formed by a straight horizontal line
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: Morocco does not have a southern-most point, the border being formed by a straight horizontal line
: Note this model assumes the particle is a point mass, which is certainly known to be false in many cases in which we use this model ; for example, as a model of planetary motion.
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 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 that a point is generally considered a tapering piece of land projecting into a body of water that is less prominent than a cape.
* * Note: if submerged reefs are included then Velasco reef is Palau's northern-most point
Note that both arrows point in the same direction.
* * Note: this is also the western-most point of the African continent
Note that the process of a string splitting ( or strings connecting ) is a global process of the worldsheet, not a local one: Locally, the worldsheet looks the same everywhere, and it is not possible to determine a single point on the worldsheet where the splitting occurs.
Note in the diagram that the shift of the demand curve, by causing a new equilibrium price to emerge, resulted in movement along the supply curve from the point ( Q < sub > 1 </ sub >, P < sub > 1 </ sub >) to the point Q < sub > 2 </ sub >, P < sub > 2 </ sub >).
( Note that the boiling point of water varies with pressure, so this must be controlled.
Note as well that points A and B on the rotor and e-shaft turn at different speed, point B moves 3 times faster than point A, so that one full orbit of the rotor equates to 3 turns of the e-shaft.

Note and spectrum
( Note: bandwidth is proportional to where = bit time ) Therefore, the bandwidth of the data signal is and the bandwidth of the spread spectrum signal is.
( Note that the Cauchy distribution and this spectrum differ by scale factors.
Note that historical opinions fall on a spectrum, rather than into tightly defined camps.
Note that virtually all the light produced is in the blue to green region of the spectrum below about 565 nanometers, accounting for the bluish color of sootless hydrocarbon flames.
Note, however, that the spectrum and projective spectrum are still T < sub > 0 </ sub > spaces: given two points P, Q, which are prime ideals of A, at least one of them, say P, does not contain the other.
Note: is not same as the one mentioned before where it refers to the width of the spectrum.
Note that the quantity being traced over is an element of the gauge Lie group and the trace is really the character of this element with respect to one of the infinitely-many irreducible representations, which implies that the operators don't need to be restricted to the " trace class " ( thus with purely discrete spectrum ), but can be generally hermitian ( or mathematically: self-adjoint ) as usual.
Note that the designation " Right Opposition " refers to the position of this movement relative to the other Communist movements on the traditional spectrum.
( Note that this lens is designed for astronomy, so one of the 3 wavelengths is outside the visible spectrum.
Note this equation's spectral and time dependence — may be sampled at or integrated over sections of the visible spectrum to obtain, for example, a trichromatic color sample.
Note that while two forms of the same spectrum are presented in the figure, most EPR spectra are recorded and published only as first derivatives.
Note again that the lines in this spectrum are first derivatives of absorptions.
The sound is perceived as louder than it actually is ; sound designer Gary Rydstrom explains that, " from a technical standpoint, ' Deep Note ' just feels loud because it has a spectrum of frequencies that grows from small to large.
Note that the spectrum does not represent either a chronological or technical order ; the Northrop YB-49 | YB-49 ( 4 ), representing a true flying wing, actually predates all other depicted aircraft, while the " conventional " Boeing 757 ( 1 ) is a relatively new and technologically advanced aircraft, and the X-48 ( 2 ) is the most recently developed.
Note that there was a special emphasis on the adding of formal is-a relationships to the spectrum which seems to have been dropped.

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