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

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

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, 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 ").

Gates stated that " the musical is cartoonish by definition and hardly one of Broadway's great treasures, but the show grows on you ", opining that " most of the Johnny Mercer – Gene de Paul songs are forgettable, but " Namely Me " ... stands out ".

Namely the Tomorrow People contact TIM via wrist communicators as the computer is non-telepathic while the characters of Ginge and Lefty are portrayed as much younger characters than they were on screen.

Namely the replacement of the GNR Somersult signals with the more common upper quadrant at some locations on the line.

Namely, the ' cheeks ' on either side of the forward-facing fighter recovery bay which were inspired by the Smoke deflectors ( or lifters ) that appeared on some later steam locomotives.

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.

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, 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, the politician owes power only to an ability to serve a greater cause, and the ability to represent people based on popular perceptions and trust.

Namely, it was discovered that, contrary to expectation, the symmetric metric on the quaternionic projective plane is not its systolically optimal metric, in contrast with the 2-systole in the complex case.

Namely on me!

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, they form a Clifford algebra over a one-dimensional vector space with a positive-definite quadratic form.

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 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, 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.

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 it says that every such ring is, up to isomorphism, a ring of n × n matrices over a division ring.

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

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.

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

* 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.

*: 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, 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, the legal rules and principles that: ( 1 ) define the authority and structure of administrative agencies ; ( 2 ) specify the procedural formalities employed by agencies ; ( 3 ) determine the validity of agency decisions ; and ( 4 ) define the role of reviewing courts and other governmental entities in relation to administrative agencies.

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 ;

Accordingly, Dapao had five 5 sub territory “ Lima ka Agama, Inged ” with a ruler Datu, traditionally, under the umbrella of Picong Sultanate but geographically and politically belong to Pualas, Namely ; 1 ) Apo 2 ) Imbang 3 ) Tanaon 4 ) Iyaran 5 ) Kormatan.

Dianaton and Sapadan bore Sarip, Marohom, Salamatullah and the Pata Baes ( four princesses of Pualas ) Namely ; Bae sa Kalawi, Bae sa Taraka, Bae sa Danogan and Bae sa Pinalangka.

Dianaton and Sapadan bore Sarip, Maruhom, Salamatullah and the Pata Bae ( four princesses of Pualas ) Namely ; Bae sa Kalawi, Bae sa Taraka, Bae sa Danogan and Bae sa Pinalangka.

Namely, Mansarovar, Bindu Sarovar, Narayan Sarovar, Pampa Sarovar and Pushkar Sarovar ; hence, Pushkar is considered one of the most sacred places in India.