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Let N be a normal subgroup of π < sub > 1 </ sub >( X, x ).
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Let and N
Let N be a linear operator on the vector space V.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.
Let the program for which the halting problem is to be solved be N bits long.
Let g be a smooth function on N vanishing at f ( x ).
Let X be a measurable space, let μ be a measure on X, and let N be a measurable set in X.
Let M and N be ( left or right ) modules over the same ring, and let f: M → N be a module homomorphism.
Let N be a function assigning to each x in X a non-empty set N ( x ) of subsets of X.
Let S be the group of all permutations of N, the natural numbers, that fixes all but finitely many numbers then:
Let F: J → C be a diagram of type J in a category C. A cone to F is an object N of C together with a family ψ < sub > X </ sub >: N → F ( X ) of morphisms indexed by the objects of J, such that for every morphism f: X → Y in J, we have F ( f ) o ψ < sub > X </ sub >
Let S be a subgroup of G, and let N be a normal subgroup of G. Then:
Let N and K be normal subgroups of G, with
Let G be a group with identity element e, N a normal subgroup of G ( i. e., N ◁ G ) and H a subgroup of G. The following statements are equivalent:
Let M and N be smooth manifolds and be a smooth map.
Let ( M, g ) and ( N, h ) be Riemannian manifolds.
* Let N < sub > h </ sub > be the number of non selfcrossing paths for moving a tower of h disks from one peg to another one.
) Let N be the ( possibly fractional ) number of submovements required to fall within the target.
Let N =
Let p be the nth decimal of the nth number of the set E ; we form a number N having zero for the integral part and p + 1 for the nth decimal, if p is not equal either to 8 or 9, and unity in the contrary case.
Let N represent the common nine-point center and P be an arbitrary point in the plane of the orthocentric system.
Let and be
Let the open enemy to it be regarded as a Pandora with her box opened ; ;
Let every policeman and park guard keep his eye on John and Jane Doe, lest one piece of bread be placed undetected and one bird survive.
`` Let him be now ''!!
Let us assume that it would be possible for an enemy to create an aerosol of the causative agent of epidemic typhus ( Rickettsia prowazwki ) over City A and that a large number of cases of typhus fever resulted therefrom.
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.
Let Af be the null space of Af.
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.
Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.
Let us take a set of circumstances in which I happen to be interested on the legislative side and in which I think every one of us might naturally make such a statement.
Let the state of the stream leaving stage R be denoted by a vector Af and the operating variables of stage R by Af.
Let this be denoted by Af.
Let it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.
Let not your heart be troubled, neither let it be afraid ''.
The same God who called this world into being when He said: `` Let there be light ''!!
For those who put their trust in Him He still says every day again: `` Let there be light ''!!
Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.
Let her out, let her out -- that would be the solution, wouldn't it??
Let and normal
Let us call a set " abnormal " if it is a member of itself, and " normal " otherwise.
Let be multivariate normal random variables with mean vector and covariance matrix Σ ( standard parametrization for multivariate normal distributions ).
Let be the position vector of some known point in the plane, and let n be a nonzero vector normal to the plane.
Let M be the intersection of all subgroups of the free Burnside group B ( m, n ) which have finite index, then M is a normal subgroup of B ( m, n ) ( otherwise, there exists a subgroup g < sup >-1 </ sup > Mg with finite index containing elements not in M ).
We want to find n ′ perpendicular to P. Let t be a vector on the tangent plane and M < sub > l </ sub > be the upper 3x3 matrix ( translation part of transformation does not apply to normal or tangent vectors ).
Let and be streamwise and transverse ( wall normal ) velocities respectively inside the boundary layer.
He continued: " Let me be clear that I have nothing against homosexuals, or any other group, promoting their agenda through normal democratic means.
Let G be a Lie group and let H be a closed subgroup ( not necessarily normal ).
Let x = ( x < sub > 1 </ sub >, x < sub > 2 </ sub >,…, x < sub > n </ sub >) be a sample of n independent observations from a mixture of two multivariate normal distributions of dimension d, and let z =( z < sub > 1 </ sub >, z < sub > 2 </ sub >,…, z < sub > n </ sub >) be the latent variables that determine the component from which the observation originates.
Let us say that the extra dimensions are of size n <<< than normal dimensions.
Theorem ( Fuglede ) Let T and N be bounded operators on a complex Hilbert space with N being normal.
Theorem ( Calvin Richard Putnam ) Let T, M, N be linear operators on a complex Hilbert space, and suppose that M and N are normal and MT
Let the four-dimensional Cartesian coordinates be denoted ( w, x, y, z ) where ( x, y, z ) represent the Cartesian coordinates of the normal position vector r. The three-dimensional momentum vector p is associated with a four-dimensional vector on a three-dimensional unit sphere
Let x be a normal element of a C *- algebra A with an identity element e ; then there is a unique mapping π: f → f ( x ) defined for f a continuous function on the spectrum Sp ( x ) of x such that π is a unit-preserving morphism of C *- algebras such that π ( 1 )
Let denote a-variate normal distribution with location and covariance.
When Nelson Mandela announced the cause of his son's death, he said: " Let us give publicity to HIV / AIDS and not hide it, because the only way to make it appear like a normal illness like TB, like cancer, is always to come out and say somebody has died because of HIV / AIDS, and people will stop regarding it as something extraordinary.
Let G be a covering group of H. The kernel K of the covering homomorphism is just the fiber over the identity in H and is a discrete normal subgroup of G. The kernel K is closed in G if and only if G is Hausdorff ( and if and only if H is Hausdorff ).
Let N be a normal subgroup of a group G. Then, the inclusion
0.653 seconds.