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

Namely, if φ is a Riemann map between D and a second domain E then

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.

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, 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, 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 the category of quasicoherent sheaves of O-modules on a Proj of a commutative graded algebra is equivalent to the category of graded modules over the ring localized on Serre's subcategory of graded modules of finite length ; there is also analogous theorem for coherent sheaves when the algebra is Noetherian.

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?

* The Maintenance of Free Trade, According to the Three Essentiall Parts of Traffique ; Namely Commodities, Moneys and Exchange of Moneys, by Bills of Exchanges for other Countries.

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.

* 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.

Namely, he implemented social housing programs, gave residency status ( and therefore the associated social welfare benefits ) to rural migrant workers, and emphasized a need for a more balanced distribution of wealth.

Namely the class RP consists of all decision problems for which a randomized polynomial-time algorithm exists that always answers correctly when the correct answer is " no ", but is allowed to be wrong with a certain probability bounded away from one when the answer is " yes ".

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

Namely that protectionism is effective as a means of fostering economic independence and national stability ; and questioning the conclusion that it allows for sustainable development of the nation's industrial base in the most efficient manner.

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 the building, which was built by Szymon Piechowicz from Turobin, a chemist and a professor of medicine at the Zamość Academy, still houses a chemist's.

Namely, the latter may not be very accurate ; people may not know what makes their life pleasant from one moment to the next.

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, the large and important Rust Belt swing states of Pennsylvania and West Virginia would benefit from the tariffs.

*: 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, it indicates both the distance and direction of an imaginary motion along a straight line from the reference position to the actual position of the point.

Namely, these firms would have to literally insulate their banking and analysis departments from each other physically and with Chinese walls.

Namely, they believed that after gaining independence from the United Kingdom in 1962, Jamaicans had suffered from the harsh combination of a stagnant economy and a rapidly growing population.

Namely, it is the imaginary rotation that is needed to move the object from a reference placement to its current placement.

Namely ( from North to South ):