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, 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 this equation only holds when the density operator is taken to be in the Schrödinger picture, even though this equation seems at first look to emulate the Heisenberg equation of motion in the Heisenberg picture, with a crucial sign difference:

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

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 ).

* Note: Contains both the Japanese version and uncut English dub and audio commentary with Steve Ryfle and Stuart Galbraith IV.

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 that not all airports are assigned codes in both systems — for example, airports that do not have airline service may not need an IATA code.

To this plan both Britain and France gave a general assent, and the Andrássy Note was adopted as the basis of negotiations.

Note that there is no contradiction among these two results ; both computations are correct.

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: the president is both the chief of state and head of government

On April 23, 1998, the Ministry of Foreign Affairs of the Republic of the Marshall Islands issued an official Circular Note, denouncing representatives of both " EnenKio " and " Melchizedek " for making fraudulent representations.

Note the coats of arms both bear on their clothing — Malcolm wears the Lion of Scotland, which historically was not used until the time of his great-grandson William I of Scotland | William the Lion ; Margaret wears the supposed arms of Edward the Confessor, her grand-uncle, although the arms were in fact concocted in the later Middle Ages.

( Note that in both of those examples those quantities would be maximized rather than minimized ).

( Note: Lava flows refer to both actively flowing lava and the solidified landforms they produce.

Note the intersection of the two circles — the distinction between short a, i and u is made by both speakers, but Arabic lacks the mid articulation of short vowels, while Hebrew lacks the distinction of vowel length.

Note that both " persons and estates " are to be protected from the arbitrary power of any magistrate, inclusive of the " power and will of a legislator.

Note that in both three-and four-level lasers, the energy of the pumping transition is greater than that of the laser transition.

Note that an enzyme that displays both PLA1 and PLA2 activities is called a Phospholipase B.

Note that both arrows point in the same direction.

Note that the letter ' h ' in both the transcription and transliteration forms should logically be omitted.

Note that only two sequences of moves by O ( both starting with center, top-right, left-mid ) lead to a draw, with the remaining sequences leading to wins from X.

Note that both the limit and the colimit functors are covariant functors.

Note that the weighted ski is on-edge and forming an arc ; if both legs were parallel the skis would begin to smoothly carve.

Note 2: A data transmission circuit may transfer information in ( a ) one direction only, ( b ) either direction but one way at a time, or ( c ) both directions simultaneously.