Let-be-a-quartic-surface-and-let-p-be-a-singular

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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 N be a linear operator on the vector space V.

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 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 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 quartic

Let us consider the quantum harmonic oscillator with the quartic potential perturbation and

Let and surface

Let the potential energy difference across the surface due to effective surface dipole be.

Let, where denote a point on Boy's surface.

Let M be a smooth manifold of dimension n ; for instance a surface ( in the case n = 2 ) or hypersurface in the Cartesian space R n + 1 .

Let the surface of the sphere be S. The volume of the cone with base area S and height r is, which must equal the volume of the sphere:.

Let us introduce the factor f j that describes how the actual charge density differs from the average and itself on a position on the surface of the j-th conductor:

Let X be a Riemann surface.

Let X ( u, v ) be a parametric surface.

Let us note that the surface integral of this 2-form is the same as the surface integral of the vector field which has as components, and.

Let us notice that we defined the surface integral by using a parametrization of the surface S. We know that a given surface might have several parametrizations.

As he approaches the surface of the sun, he shouts, " Let there be light!

Let be a point on the surface.

Suppose that c is a simple closed curve in a closed, orientable surface S. Let A be a tubular neighborhood of c. Then A is an annulus and so is homeomorphic to the Cartesian product of

Let X be a connected non-compact Riemann surface.

Let X be the infinite cyclic cover of the knot complement of K. This covering can be obtained by cutting the knot complement along a Seifert surface of K and gluing together infinitely many copies of the resulting manifold with boundary in a cyclic manner.

: Let be a compact, closed surface ( not necessarily connected ).

Let us look at the surface of the earth: here the ground is flat ; there it is hilly and mountainous ; in other places it is sandy ; in others it is barren ; and elsewhere it is productive.

Let S be a Riemann surface with a metric whose curvature is bounded above by.

Let us consider a simple example of a body of mass, M, having an acceleration, a, and surface area, A, of the surface upon which the accelerating force is acting.

Let and let

Let me set the record this time, and let me get back OK, so the German will give me the exclusive.

Let evildoers contemplate their ways, and let every man beware ''!!

Let us not try to key them out at this stage of the game, and let us just call them Bombus.

Let her call Crosson if she wanted to, let Crosson raise the roof or even can him, he didn't care.

Let us focus on an atom of calcium from the tip of the bone of my finger and let us suppose that I swallow a magic Alice In Wonderland growing pill.

Let him call for the elders of the church, and let them pray over him, anointing him with oil in the name of the Lord ; and the prayer of faith will save the sick man, and the Lord will raise him up ; and if he has committed sins, he will be forgiven.

Let no man add to these, neither let him take out from these.

Let and let.

Let the function g ( t ) be the altitude of the car at time t, and let the function f ( h ) be the temperature h kilometers above sea level.

Let and be differentiable functions, and let D be the total derivative operator.

Let M be a smooth manifold and let x be a point in M. Let T x M be the tangent space at x.

Let M be a smooth manifold and let x be a point in M. Let I x be the ideal of all functions in C ∞( M ) vanishing at x, and let I x 2 be the set of functions of the form, where f i , g i ∈ I x .

Let M be a smooth manifold and let f ∈ C ∞( M ) be a smooth function.

Let them be thousands, let them drown themselves in their own blood.

* Let H be a group, and let G be the direct product H × H. Then the subgroups

Let x, y, z be a system of Cartesian coordinates in 3-dimensional Euclidean space, and let i, j, k be the corresponding basis of unit vectors.

Let X be a nonempty set, and let.

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