We note the use of rhetoric as a weapon, the manipulation of the masses by propaganda, the `` mobilization '' of effort and resources.

We note that, first, America has already made great contributions in the past two years to the world's fund of knowledge of astrophysics and space science.

We note that two such curves C and Af, cannot coincide at more than a finite number of points ; ;

We usually run a social note when somebody moves away ''.

We note that the plot of this curl has no dependence on y or z ( as it shouldn't ) and is in the negative z direction for positive x and in the positive z direction for negative x.

Around 4 July, Poisson declared Galois ' work " incomprehensible ", declaring that " argument is neither sufficiently clear nor sufficiently developed to allow us to judge its rigor "; however, the rejection report ends on an encouraging note: " We would then suggest that the author should publish the whole of his work in order to form a definitive opinion.

Thus the DTFT of the s sequence is also the Fourier transform of the modulated Dirac comb function .< ref group =" note "> We may also note that:

We also note that none of the formulas here require the duration of to be limited to the period, P or N. But that is a common situation, in practice.

We note that concentration is defined as particles per unit volume, and hence.

We note again, however, that for common calculations the physicists ' formulation is quite sufficient.

We note that an inverse system in a category C admits an alternative description in terms of functors.

We should also note the different methods of travel.

They also note that Lenin put a ban on factions within the Russian Communist Party and introduced the one-party state in 1921-a move that enabled Stalin to get rid of his rivals easily after Lenin's death, and cite Felix Dzerzhinsky, who, during the Bolshevik struggle against opponents in the Russian Civil War, exclaimed " We stand for organised terror – this should be frankly stated ".

We note that the mass of the satellite m appears on both sides — geostationary orbit is independent of the mass of the satellite .< ref > In the small body approximation, the geostationary orbit is independent of the satellite's mass.

We also note that a two-body Dirac equation composed of a Dirac operator for each of the two point particles interacting via the Coulomb interaction can be exactly separated in the ( relativistic ) center of momentum frame and the resulting ground state eigenvalue has been obtained very accurately using the Finite element methods of J. Shertzer.

We should also note that the democratic element was not as strong as the mayor's words may seem to imply: in fact, Poitiers was similar to other French cities, Paris, Nantes, Marseille, Limoges, La Rochelle, Dijon, in that the town's governing body ( corps de ville ) was " highly exclusive and oligarchical ": a small number of professional and family groups controlled most of the city offices.

We note here that ensembles of quantum mechanical system are sometimes treated by physicists in a semi-classical fashion.

We then alternate between hands in short bursts written out in short note values until the last three bars of the first section.

We note that the other form for a prime p > 3 is 6k + 1 or, equivalently, p ≡ 1 ( mod 6 ), and that 3 |( 2p + 1 ) — thus excluding such p from the Sophie Germain prime domain.

We note that for an arbitrary domain one may define the Picard group Pic ( R ) as the group of invertible fractional ideals Inv ( R ) modulo the subgroup of principal fractional ideals.

We note again that no claim is made that the activity is not sufficiently connected to the State to justify a tax, or that the tax is not fairly related to benefits provided the taxpayer, or that the tax discriminates against interstate commerce, or that the tax is not fairly apportioned.

'" However, he acknowledges that he and the writers hit " the same note for a while ... We needed to make some changes.

He urged the freeing of all East Timorese leaders in a note reading, " We can never normalize the situation in East Timor unless all political leaders, including Mr. Gusmão, are freed.

We then define f ( x, y ) to be this z.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

We may solve this by separation of variables ( moving the y terms to one side and the t terms to the other side ),

We also say that x necessarily exists if for every essence P the following is true: in every possible world, there is an element y with P ( y ).

We write f: x → y to indicate that f is an element of G ( x, y ).

We write gf for, where f ' G ( x, y ), and g ' G ( y, z );

We prove that there exists ( x, y, z ) such that

We can then take y ′< sub > n </ sub >= f ′( x ′< sub > n </ sub >).

In applause Sec ' y Shinseki said, " The Department of Veterans Affairs and the entire administration are encouraged by the opportunities that electronic health record interoperability provides for Veterans, Service Members and their dependents ," ... " We are proud to join in this effort with Kaiser Permanente and to achieve the benefits of health data exchange, including improved quality, patient safety, and efficiency.

We shall make the transformation y < sub > i </ sub > = u < sub > i </ sub >( x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub >), for i = 1, ..., n, having inverse functions x < sub > i </ sub > = w < sub > i </ sub >( y < sub > 1 </ sub >, y < sub > 2 </ sub >, ..., y < sub > n </ sub >), for i = 1, ..., n, and Jacobian.

We can write xy for the operation " first do y, then do x "; so that ab is the operation RGB → RBG → BRG, which could be described as " move the first two blocks one position to the right and put the third block into the first position ".

We say that x and y can be separated if each lies in an open set which does not contain the other point.

We probably aren't able to physically determine with infinite accuracy the actual values of the numbers x and y that are hit.

We require that f be locally non-zero, meaning that given any point x in the interval and any natural number m, there exists ( we can construct ) a real number y in the interval such that | y-x | < 1 / m and | f ( y )| > 0.

Many traditional Mexican songs are well-known worldwide, including Bésame Mucho ( Kiss Me a Lot ), La Bamba ( The Bamba ), Solamente una vez ( English version " You Belong to My Heart "), La Bikina ( The Bikina ), Cielito Lindo ( Beautiful Sweetheart ), Somos Novios ( We Are Lovers ; English version " It's Impossible "), El Rey ( The King ), María Bonita ( Pretty María ), México Lindo y Querido ( Beautiful, Beloved Mexico ).

We seek to find the line of “ best fit ” y *

We know the compressed gas has V =

We might not see any rotation initially, but if we closely look at the right, we see a larger field at, say, x = 4 than at x = 3.

There is in fact no complex number z for which, and hence the reciprocal gamma function is an entire function, with zeros at z = 0, − 1, − 2 ,.... We see that the gamma function has a local minimum at where it attains the value.

#* We extend this result to more and more complex and lengthy sentences, D < sub > n </ sub > ( n = 1, 2 ...), built out from B, so that either any of them is refutable and therefore so is φ, or all of them are not refutable and therefore each holds in some model.

# We apply this construction to the case when the manifold M is the underlying space of a Lie group G, with G acting on G = M by left translations L < sub > g </ sub >( h ) = gh.

We have lim < sub > x → c </ sub > a < sub > n </ sub > = L if and only if for every neighborhood Y of L, the net is eventually in Y.

We make two observations: ( a ) is a linear combination of vectors in the row space of, which implies that belongs to the row space of, and ( b ) since = 0, is orthogonal to every row vector of and, hence, is orthogonal to every vector in the row space of.

We assume that A is an m-by-n matrix over either the real numbers or the complex numbers, and we define the linear map f by f ( x ) = Ax as above.

We wanted to find 2 × 7, but instead we calculated ( 2 / 10 )× 7 = 0. 2x7 = 1. 4.

We can now write simply p = E / c as the relationship between momentum, energy, and speed of light.

We assume a “ linear ” device having a transfer function whose small signal form may be expressed in terms of a power series containing only odd terms, making the transfer function an odd function of input signal voltage, i. e., O = − O.

We are looking for a kernel vector a = such that the matrix product of M on a yields the zero vector.

) We can be more specific in light of the definition above: Plugging in F = 1 dyne, q < sub > 1 </ sub >= q < sub > 2 </ sub >= 1 statC, and r

* We may give R < sup > N </ sup > the I-adic topology, where I = ( X ) is the ideal generated by X, which consists of all sequences whose first term a < sub > 0 </ sub > is zero.

We can view 7 − 3 = 4 as the sum of two terms: 7 and-3.

We then define d ( x ) = z + im ( a ).

We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:

We can interpret the first case as a rotation by θ ( where θ = 0 is the identity ), and the second as a reflection across a line at an angle of θ / 2.