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, 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, given a real polynomial

Namely, it tries to measure the confidence toward the probability, feasibility, or likelihood of executing given behavior.

In the early 1900s a disagreement arose over the practice of some European customs ( Namely, the wearing of a mustache ) and the church split into two bodies ( from 1901 to 1911 ).

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 epsilon-delta definition of uniform continuity requires four quantifiers, while the infinitesimal definition requires only two quantifiers.

Namely, the two changes were commission-based links to online music retailers, and Google AdSense links ( which registered users can elect not to view ).

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, two distinct processes have been identified as potential sources for the reduced productivity of groups: loss of motivation, and coordination problems.

Namely, HD Radio's AM broadcast scheme broadcasts two copies of the program offset by a few seconds, allowing signal to be briefly lost and maintain uninterrupted program audio ( for example, driving under an overpass, multipath in urban areas, lightning, switching transients, etc .).

Namely, the Russians confiscated two silver crowns, a silver spoon, a silver beaker, a silver spiral bracelet, " precious drapery " and numerous pelts and precious furs ( Bahrushin 1955, 2: 146 ).

*: Now these are the nations which the L < SMALL > ORD </ SMALL > left, to prove Israel by them, even as many of Israel as had not known all the wars of Canaan ; 2: Only that the generations of the children of Israel might know, to teach them war, at the least such as before knew nothing thereof ; 3: Namely, five lords of the Philistines, and all the Canaanites, and the Sidonians, and the Hivites that dwelt in mount Lebanon, from mount Baal-hermon unto the entering in of Hamath.

Namely, Cℓ can be considered as a functor from the category of vector spaces with quadratic forms ( whose morphisms are linear maps preserving the quadratic form ) to the category of associative algebras.

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, for three years he was the president of the country whose very existence was something that the party of which he's a vice-president ( DPS ) strived to end.

Namely, " its " near the end of the sentence is a possessive pronoun whose antecedent is the very predicate in which it occurs.

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 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, 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.

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, 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, 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, Comte considered " Anthropology, or true science of Man be the last gradation in the Grand Hierarchy of Abstract Science.

) Namely, how can we make sense of exactly the same thing being in all of these different objects?

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

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?

Namely, we can demand the existence of a tensor product that is left adjoint to the internal Hom functor.

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 )

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