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

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 coconut, pineapple, or any other juice that may have been attained locally or via supply.

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

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, Γ ( I ) is a subgroup of the group of norm 1 elements in the quaternion algebra generated as an associative algebra by the generators i, j and relations.

Namely, let G be a semisimple algebraic group over an algebraically closed field of characteristic.

Namely, the computation may greatly amplify the rounding errors, which are inevitable in all but textbook examples on integers, and so give completely wrong results.

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

Namely, although eigenvalues attaining maximal absolute value may not be unique, the structure of maximal eigenvalues is under control: they have the form e < sup > i2πl / h </ sup > r, where h is some integer number — period of matrix, r is a real strictly positive eigenvalue, l = 0, 1, ..., h − 1.

Namely, section 9. 1 states that when one invokes rights, it should be in a manner with respecting " democratic values, public order and the general well-being of the citizens of Québec " and that law may limit rights.

Namely that I, Affonso, King of the Portuguese, with the consent of all my people, so that it may be remembered by future generations, do provide by this protocol of confirmation that the Franks who shall remain with me in the siege of the city of Lisbon shall have and take into their power and possession the goods of whatever kind belonging to the enemy and that I and my men shall have no part whatever of them.

Namely, an unloaded module need not to be stored in the scarce random access memory.

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

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, 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 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, in order to obtain that data, survey questions must be designed to collect measurable responses that are categorized in a logically sound and practical way, such that the form in which the questions are asked does not bias the results.

Namely, the closer adherence to real physics with regards to how human ( not alien ) vessels manoeuvred in space, and that it could be depicted in an interesting and exciting way.

Namely, some contend that the image here described as Henry the Navigator can be Philip the Good, husband of Infanta Isabel, Duchess of Burgundy | Infanta Isabel.

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 how the gun is going to be traversed-i. e.

Namely, since behavioral intention cannot be the exclusive determinant of behavior where an individual's control over the behavior is incomplete, Ajzen introduced the theory of planned behavior by adding a new component, " perceived behavioral control.

Some scholars have argued that it was actually section 24 that ensured that the Charter would not have the primary flaw of the 1960 Canadian Bill of Rights: Namely, Canadian judges would be reassured that they could indeed strike down statutes on the basis that they contradicted a bill of rights.

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, 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, NeXTSTEP used one format to represent a property list, and the subsequent GNUstep and Mac OS X frameworks introduced differing formats.

Namely, these are rotations by angles which are rational multiples of π.

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, zero and negative zero, as well as subnormal numbers.

Namely, Berkeley relies upon Apollonius's determination of the tangent of the parabola in Berkeley's determination of the derivative of the quadratic function.

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

Namely platinum, coal, iron ore, gold and lately also diamonds have been found in considerable deposits.

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 his hair and trademark red jacket.

Namely, the Symplegades and the Planctae.

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, the disco band Lipps Inc scored their only top 40 pop hit with their iconic song, " Funkytown ," originally penned by bandmember Steven Greenberg.