It was not their Intention in the least at that Time to molest their Neighbours and Fellow Christians with Collections, for it has the appearance last Fall, as if they should have a promising Crop this Harvest, but that Hope is all lost for the most part of the Grane is kill'd with the Frost, and the Rest is destroy'd by the Insects, and now they have such a heavy Debt to pay, which they are not able to discharge out of their own Pokets: So they are obliged to implore all good-minded Christians who has it in their Hearts to promote the kingdom of Christ to assist them and lay some mite for the said Building of the said Church in the Hands of their Fellow Brothers wiiich they have send for that purpose Namely Albertus Simon and Jacob Weager.

Namely, a Riesz group satisfies the Riesz interpolation property: if x < sub > 1 </ sub >, x < sub > 2 </ sub >, y < sub > 1 </ sub >, y < sub > 2 </ sub > are elements of G and x < sub > i </ sub > ≤ y < sub > j </ sub >, then there exists z ∈ G such that x < sub > i </ sub > ≤ z ≤ y < sub > j </ sub >.

Namely, the measures should be taken with positive and negative signs in such a way that the sum of the signs of for all parts that enclose a given point is 1 if belongs to, and 0 otherwise.

Namely, if a polynomial over with leading coefficient is reducible over then it is reducible over for any prime.

Namely, if is a smooth function, with and smooth manifolds, its derivative is a smooth function.

Namely, if a critical moral choice is a matter of luck ( indeterminate quantum fluctuations ), then on what grounds can we hold a person responsible for their final action?

Daisy Mae asks Abner if he will let her catch him on Sadie Hawkins Day and tries to persuade him that he deserves to marry a girl like her, and Abner agrees that she should marry a boy like him (" Namely You ").

Namely, if the rock below the break is igneous or has lost its bedding by metamorphism, the plane of juncture is a nonconformity.

Namely, if C and D are triangulated categories with C compactly generated and F a triangulated functor commuting with arbitrary direct sums, then F is a left adjoint.

Namely, if A is the symmetric matrix that defines the quadratic form, and S is any invertible matrix such that D = SAS < sup > T </ sup > is diagonal, then the number of negative elements in the diagonal of D is always the same, for all such S ; and the same goes for the number of positive elements.

Namely, if the memory controller scans systematically through the memory, the single bit errors can be detected, the erroneous bit can be determined using the ECC checksum, and the corrected data can be written back to the memory.

Namely, if is the total number of accessible microstates of the system, and are all states of the system ( accessible and otherwise ), then a microcanonical ensemble is the mixed state

Namely, if two or more subpopulations have different allele frequencies then the overall heterozygosity is reduced, even if the subpopulations themselves are in a Hardy-Weinberg equilibrium.

Namely, if the CPU tries to access word and is the line containing, then is loaded into the cache.

Namely, let V be any vector space with some scalar field K, and let T be a linear transformation mapping V into V. We say that a non-zero vector x of V is an eigenvector of T if ( and only if ) there is a scalar λ in K such that T ( x )

Namely, if their purpose is based only or primarily on self-interest — disregarding higher principles, which is the hallmark of opportunism — then politics is the least likely vocation, since it requires that politicians serve a collective interest or cause bigger than themselves.

Namely, if we subsequently learn that Paul is also a citizen of France, this does not change any earlier positive or negative conclusions.

Namely φ is universal for homomorphisms from G to an abelian group H: for any abelian group H and homomorphism of groups f: G → H there exists a unique homomorphism F: G < sup > ab </ sup > → H such that.

Namely, there exists a linear transformation φ such that, for any pair of points:

Namely, a transsexual who has completed gender reassignment surgery is certainly not considered cross-dressing, unless they were to wear clothes of the gender opposite of what they have transitioned to.

Namely, the y-axis is necessarily the perpendicular to the x-axis through the point marked 0 on the x-axis.

Namely, it is a " hostel " for hitchhikers, sized and specially designated to hold multiple hitchhikers at one time.

Namely, the unitary transformation that is the change of basis ( from the standard product basis into the Bell basis ) can also be implemented by quantum gates.

Let X be a topological vector space over K. Namely, X is a K vector space equipped with a topology so that vector addition and scalar multiplication are continuous.

Namely, it is necessary that these functions decrease sufficiently rapidly to zero ( in the neighborhood of infinity ) in order to insure the existence of the Fourier integral.

Namely, the matrix is reduced to an upper triangular matrix by using elementary row operations, as in the first part of the Gaussian elimination method, taking care to preserve the sign of its determinant.

Namely, one considers the phase space of the corresponding classical system ( e. g. for an ensemble of quantum harmonic oscillators, the phase space of a classical harmonic oscillator is considered ).

Namely, matrix is obtained by multiplying each element of u by the complex conjugate of each element of v.

Namely, Z is " If this sentence is true then Y ".

Namely, for any infinitesimal surface element C with normal direction and area dA, the circulation along the perimeter of C is the dot product where is the vorticity at the center of C.

Namely, libertarians believe that no person should have the right to decide for others what goods are necessary for living and which aren't, or that luxuries are necessarily wasteful, and thus argue that anti-consumerism is a precursor to central planning or a totalitarian society.

Namely, the question of how the interaction takes place, where in dualism ' the mind ' is assumed to be non physical and by definition outside of the realm of science.

Namely, introducing the projectivization of the rank n complex vector bundle as the fiber bundle on B whose fiber at any point is the projective space of the fiber.

Namely, given a surface X lying in R < sup > 3 </ sup >, the Gauss map is a continuous map N: X → S < sup > 2 </ sup > such that N ( p ) is a unit vector orthogonal to X at p, namely the normal vector to X at p.

Namely, we map a point x ∈ M to the function f < sub > x </ sub > ∈ L < sup >∞</ sup >( M ) defined by the formula f < sub > x </ sub >( y )

* There is a one-to-one correspondence between the two-sided ideals of M < sub > n </ sub >( R ) and the two-sided ideals of R. Namely, for each ideal I of R, the set of all n × n matrices with entries in I is an ideal of M < sub > n </ sub >( R ), and each ideal of M < sub > n </ sub >( R ) arises in this way.

In those days great strife was bred at the instigation of the Devil between the sons of Gruffudd ap Llywelyn, Namely Owain Goch and Dafydd on the one side, and Llywelyn on the other.

Namely, let X and Y be two compact figures in a metric space M ( usually a Euclidean space ); then D < sub > H </ sub >( X, Y ) is the infimum of d < sub > H </ sub >( I ( X ), Y ) along all isometries I of the metric space M to itself.

Namely, the scops owls give a whistling call or a row of high-pitched hoots with less than four individual hoots per second.

Namely, within each PAN domain, communications will probably use short identifiers.

Namely, we will allow f < sub > n </ sub > to converge μ-almost everywhere on a subset E of S. We seek to show that