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Note and last
In Stalin's last year of life, one of his last major foreign policy initiatives was the 1952 Stalin Note for German reunification and Superpower disengagement from Central Europe, but Britain, France, and the United States viewed this with suspicion and rejected the offer.
In Thrones, Dominations, the last, unfinished novel by Sayers, completed by Jill Paton Walsh, the Author's Note states that Harriet Vane published a monograph on Sheridan Le Fanu in 1946, drawing on this research.
Note that the arguments of the binomial coefficient are decremented due to order: the last " failure " must occur last, and so the other events have one fewer positions available when counting possible orderings.
Note, however, that they lost most of their genetic diversity thousands of years ago ( see the beginning of this article ), and yet seem to have only been in decline in the last century or so, suggesting factors other than genetics are mainly responsible.
Note the last two letters of Themistocles are written boustrophedon and E is used for both long and short e ; that is, this is the epichoric alphabet.
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, however, that because the quaternions are not commutative, the order of the factors in the multiplication formula becomes important — if the last factor in the multiplication formula were rather than
Note that if the system basis were not an einselected basis then the last condition is trivial since the disturbed environment is not a function of and we have the trivial disturbed environment basis.
Note that there were no integral boundaries to transform, but in the last step we had to revert the original substitution u
Note that the last phrase is not required to be said if the speaker has a personal or moral objection, as is true of all oaths administered by the United States government ; Article Six of the United States Constitution requires that there be no religious test for public office.
Note that in this last sentence, the plurality of it (-) is obscured ; the meaning can be either I give < u > it </ u > to you all or I give < u > them </ u > to you all.
Note: The Criterion laserdisc release also moved a few seconds of Howard Shore's score for its last side break so as to keep the entire music cue intact.
Note that the last ' demonstration sports ' to be officially demonstrated were more than ten years ago, at the 1996 games in Atlanta.
Note that current CO2 levels are more than 390 ppm, far higher than at any time in the last 400, 000 years
: Note: In American football, the term " all-star game " refers to the American Football League All-Star game, last played in 1969 ; or the College All-Star Game, last played in 1976.
( Note: Occasionally, the previous hour's observations may last as long as 15 minutes into the next hour, which in most cases when this occurs, the product may not be played at all after 15 minutes and will not play until the information is updated.
Note that the last rule can be restated recursively to avoid the ellipses:
Note that the more complex link is on the right in each step below except the last.
Note the lack of " eyelashes " around the headlamps The last and most famous Miura, the P400SV or Miura SV featured different cam timing and altered carburetors.
Note that if the source is not divisible by 3 the last 4-byte section will contain padding bytes to make it cleanly divisible.
Note that there is an overlap among the last three categories, as some of the Fairchild eight ( such as Noyce and Eugene Kleiner ) left Fairchild to form other companies.

Note and equation
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 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 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 and assumption
Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.
Note that any element of I must have the form αω, by virtue of our assumption that.
Wages paid to labor are denoted by w and the rate of profit or the real interest rate is denoted by r. Note that the assumption of perfect competition enables us to take prices as given.
Note that the assumption the v is relatively large is equivalently to the assumption that the thermal diffusivity is small compared to, where L is the acean width ( from mid-ocean ridges to continental shelf ) and T is its age.
Note how, given the initial assumption that no two are the same,, so this expression is always well-defined.
Note the tacit assumption here that no intelligence or insight is brought to bear on the problem.
Note that since u, v need to be continuous, the assumption on positivity does not diminish the generality.
Note the sign difference, which follows from the assumption that the operator is stationary and the state is time-dependent.
Note that since we do not know how to construct a one-way permutation from any one-way function, this section reduces the strength of the cryptographic assumption necessary to construct a bit-commitment protocol.
Note that such s ( t ) is uniformly continuous, this together with the decay assumption on s, show that the series defining s < sub > P </ sub > converges uniformly to a continuous function.
Note that the regularity assumption on Y is important here.
Note that the assumption was made that the gas is in the classical regime, and is described by Maxwell – Boltzmann statistics ( with " correct Boltzmann counting ").
Note that the assumption of a joint probability distribution allows us to model uncertainty in predictions ( e. g. from noise in data ) because is not a deterministic function of, but rather a random variable with conditional distribution for a fixed.
Note that the existence of an infinite number of line segments does not violate the game theory assumption that the game can be finished in a finite amount of time, provided that there are only finitely many line segments directly " touching " the ground.
( Note the assumption that we feed the entire set of n points into the algorithm up-front.
Note that the assumption of a strict molecular clock is often unrealistic, especially across long periods of evolution.
Note that the increased size of the now not-so-small loop alters its radiation pattern, as the assumption of currents being totally in phase along the circumference of the loop breaks down.
Note from the form of this equation that we also know p is a constant along any field line, ( again since is everywhere perpendicular to B. Additionally, the two-dimensional assumption () means that the z-component of the left hand side must be zero, so the z-component of the magnetic force on the right hand side must also be zero.

4.052 seconds.