Note that the RGB color may be premultiplied, hence saving the additional multiplication before RGB in the equation above.

Note that by reversing the equation, we can swap < math > < </ math > and, for example:

Note: The above equation applies only to incompressible fluid.

Note that in this equation, both force and displacement are vector quantities.

Note that, with the opposite sign convention ( used in Physics ), this is the potential generated by a point particle, for an inverse-square law force, arising in the solution of Poisson equation.

Note that in, the equation holds, and therefore

Note how the equation above reduces to that of the univariate normal distribution if is a matrix ( i. e. a real number ).

( Note that the same equation applies for recoil energy losses in x-rays, but the photon energy is much less, resulting in a lower energy loss, which is why gas-phase resonance could be observed with x-rays.

Note that the above equation is flawed — as the temperature approaches zero, the entropy approaches negative infinity, in contradiction to the third law of thermodynamics.

Note that this equation reduces to that of the volume of a sphere when all three elliptic radii are equal, and to that of an oblate or prolate spheroid when two of them are equal.

Note that the integrand above ( uv ) differs from the previous equation.

Note that the above construction of the Galois group for a fifth degree polynomial only applies to the general polynomial, specific polynomials of the fifth degree may have different Galois groups with quite different properties, e. g. has a splitting field generated by a primitive 5th root of unity, and hence its Galois group is abelian and the equation itself solvable by radicals.

Note that this equation indicates that when expectations of future inflation ( or, more correctly, the future price level ) are totally accurate, the last term drops out, so that actual output equals the so-called " natural " level of real GDP.

Note in the second equation that if instead of planck masses the electron mass were used, the equation would no longer be unitary and instead equal a gravitational coupling constant, analogous to how the equation of the fine-structure constant operates with respect to the elementary charge and the Planck charge.

Note that the above equation describes the Earth's gravitational potential, not the geoid itself, at location the co-ordinate being the geocentric radius, i. e., distance from the Earth's centre.

Note: In the following examples the multiplier is the right-hand-side equation without the first component.

Treating free charges separately from bound charges, Ampère's equation including Maxwell's correction in terms of the H-field is ( the H-field is used because it includes the magnetization currents, so J < sub > M </ sub > does not appear explicitly, see H-field and also Note ):

Note that the right-hand side of the equation is also the price of buying a forward contract on the stock with delivery price K. Thus one way to read the equation is that a portfolio that is long a call and short a put is the same as being long a forward.

Note that in any given coordinate patch, ( 1 ) defines an ordinary differential equation, with the initial condition given by ( 2 ).

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

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 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: This table represents active equipment only ; there are large numbers of equipment in reserve status.

Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.

Note that the validity of a conditional proof does not require that the CPA is actually true, only that if it is true it leads to the consequent.

Note: no handset, phone is for headset use only.

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

( Note that, technically, Wisda's damages would be the lost profits only — if Wisda would have had $ 35 per hour in wages, materials and other expenses, its actual damages are only $ 15 per hour

Note: This study only involved male subjects which may be significant as sex steroids may have different effects in the responses to cortisol administration.

Note that any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).

Note that this document type declaration can only appear after the optional XML declaration, and before the document body, if the document syntax conforms to XML.

( Note that anti-trust regulation does take into account cases when only large companies are viable because of the nature of an industry, but favors many participants over few, whenever possible.

Note that the obliquity varies only from 24 °. 2 to 22 °. 5 during this time.

Note that front panel sizes are slightly less than the subrack sizes: for example a 3U front panel may only be high whereas the 3U subrack itself is high.

Note that the error, e, depends not only on the estimator ( the estimation formula or procedure ), but on the sample.

Note that the sampling deviation, d, depends not only on the estimator, but on the sample.

Note: In the following discussion, only one or two common pronunciations of American and British English varieties are used in this article for each word cited.

Note that the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.

Note that this statement is only true when the refractive indices of both materials are real numbers, as is the case for materials like air and glass.

* Note: Contains both the original version ( Japanese audio with English subtitles only ) and the edited G version ( English audio only ).

Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).