Note: this logic is valid only for small sources, such that the lens is in the far field region of the source, according to the 2 D < sup > 2 </ sup > / λ criterion mentioned previously.

Note that any matrix obtained by multiplying by a complex scalar λ determines the same transformation, so a Möbius transformation determines its matrix only up to scalar multiples.

where runs from 1 to N. Note that N has been absorbed into the coupling strength λ.

This equation is called the eigenvalue equation for T. Note that T ( x ) means the result of applying the operator T to the vector x, while λx means the product of the scalar λ by x.

( Note: So far as State Police cars are concerned, only their replacement is under this division ).

Note, however, that it is six inches shorter at the forward end.

Note another piece of wood six inches wide is fastened to the transom between these pieces.

Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.

Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

Note that flexural strength is not always improved by simply increasing the density, nor is the change always proportional from one formulation to another.

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 that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.

Note that any model of ZF ¬ C is also a model of ZF, so for each of the following statements, there exists a model of ZF in which that statement is true.

Note that there is no directly corresponding concept in the German language.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

Note that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.

Note that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.

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 this is subtly different to the ' thanks ' list in the original BBC Model B.

Note that in other fields, a lower division between high and ultra-high vacuum is common, often 10 < sup >− 7 </ sup > Pa.

Note that the food is not cooked in a vacuum.

Note that a naive perturbation theory around one of those two vacua would never show this non-perturbative tunneling effect, dramatically changing the picture of the vacuum structure of this quantum mechanical system.

Note that this method of computing vacuum energy is mathematically equivalent to having a quantum harmonic oscillator at each point and, therefore, suffers the same renormalization problems.

Note that in the Meissner variant, the LC resonant ( tank ) circuit is exchanged with the feedback coil, i. e. in the output path ( vacuum tube plate, field effect transistor drain, or bipolar transistor collector ) of the amplifier, e. g. Grebennikov, Fig.

Note that the fastest manual way is to use a vacuum cleaner: simply insert the hose into the exhaust port ( nearly all are designed for this ), and use the wand to blow on the coils ; this method is much faster than any other.

Note that the energy E is higher than that in the true vacuum or ground state, but there is a barrier preventing the field from classically rolling down to the true vacuum.

Note that vacuum tube projects almost always use dangerously high voltages and should be undertaken with due care.

Note the hose barb pointing right for attaching a vacuum source.

Note: Carburetors are largely dependent on air volume flow and vacuum, and neither directly infers mass.

Note that this equation implies that in a vacuum solution, the potential is simply a harmonic function.

Note that this is entirely dependent on wavelength, which is how the frequency-dependent behaviour arises.

Note that, there is no dependence on the energy at longer wavelength.

) Note that the increase in the speed of sound as waves approach the center of the sun causes a corresponding increase in the acoustic wavelength.

Note that moving particles, including electrons, protons and neutrons, have an associated De Broglie wavelength.

Note the two broad blue and green absorption bands and one narrow absorption band on the wavelength of 694 nm, which is the wavelength of the ruby laser.

Note that since purples ( mixtures of red and blue / violet ) cannot be pure spectral colors, no color mixture perceived as purple in hue can be assigned a proper dominant wavelength.

( Note that it is more convenient to express the wavelength of light in terms of nanometers ; spectral exitance would then be expressed in units of W · m < sup >− 2 </ sup >· nm < sup >− 1 </ sup >.