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Page "Statistical ensemble (mathematical physics)" ¶ 37
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Namely and one
Namely, it is a " hostel " for hitchhikers, sized and specially designated to hold multiple hitchhikers at one time.
Namely, one made of ..' copper, with a five inch funnel having its brass rim one foot above the ground ...'
Namely, the latter may not be very accurate ; people may not know what makes their life pleasant from one moment to the next.
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 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, one can prove that such extensions are in one-to-one correspondence with subgroups of
Namely, the one he received in the Valley of the Lost: Of all there were, but a single one born of the magic to bring forth truth will remain alive when the shadow's threat is lifted.
Namely, adultery, all forms of incest, male homosexuality, bestiality, and introduced the idea that one should not have sex during the wife's period:
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, the section 9. 1 statements about how one should use rights does not mention legislatures, and thus the Quebec Charter has relevance to private law.
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, Canadian band The Moffats number one hit single " Bang Bang Boom ", the title song for R & R Hall Of Fame inductee Percy Sledge's 2004 album Shining Through the Rain, and 3 consecutive platinum albums for Swedish singer Pandora in Japan.
Namely, Mansarovar, Bindu Sarovar, Narayan Sarovar, Pampa Sarovar and Pushkar Sarovar ; hence, Pushkar is considered one of the most sacred places in India.
Namely, NeXTSTEP used one format to represent a property list, and the subsequent GNUstep and Mac OS X frameworks introduced differing formats.

Namely and space
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, 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, 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 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, they form a Clifford algebra over a one-dimensional vector space with a positive-definite quadratic form.
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 and corresponding
Namely, the ratio of the n-dimensional volume of a ball of radius ε in the manifold to that of a corresponding ball in

Namely and system
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 and e
Namely how the gun is going to be traversed-i. e.
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, a propositional formula can be expressed in first-order logic by replacing each propositional variable with a predicate of zero arity ( i. e., a predicate with no arguments ).

Namely and .
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 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, 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, 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.
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, any free group G may be realized as the fundamental group of a graph X.
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, 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 computation may greatly amplify the rounding errors, which are inevitable in all but textbook examples on integers, and so give completely wrong results.
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, Comte considered " Anthropology, or true science of Man be the last gradation in the Grand Hierarchy of Abstract Science.
Namely, the disco band Lipps Inc scored their only top 40 pop hit with their iconic song, " Funkytown ," originally penned by bandmember Steven Greenberg.

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