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 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 < sup > n + 1 </ sup >.

Let us introduce the factor f < sub > j </ sub > 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.

Let be a quartic surface, and let p be a singular point of this surface.

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 a sphere have radius r, longitude φ, and latitude θ.

# Let S be the sphere that contains these N photons.

Riding Westward: " Let man's soul be a sphere, and then, in this, Th ' intelligence that moves, devotion is ;"

Let S < sup > 2 </ sup > be the unit sphere in ℝ < sup > 3 </ sup >.

Let CP < sup > 1 </ sup > be the Riemann sphere: 1-dimensional complex projective space.

Let C be a simple closed curve on a sphere of radius 1.

Let the S be a sphere with center O, P a plane which intersects S. Draw perpendicular to P and meeting P at E., Let A and B be any two points in the intersection.

Let be the unit sphere in three dimensional Euclidean space.

Let s be the function mapping the sphere to itself, and let v be the tangential vector function to be constructed.

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

This can be generalized to higher dimensions as follows: Let be integers such that the are coprime to and consider as the unit sphere in.

His engagement with Hedwig of Hungary, youngest daughter of the neighboring king, was one of the first attempts of the House of Habsburg to extend their sphere of influence in Eastern Central Europe by marrying heiresses, a practice that gave rise to the phrase Bella gerant alii: tu felix Austria nube ( Let others make war: thou happy Austria, marry ).

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 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??