Let r be a non zero real number and let the r < sup > th </ sup > power mean ( M < sup > r </ sup > ) of a series of real variables ( a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub >, ... ) be defined as

Let the input power to a device be a force F < sub > A </ sub > acting on a point that moves with velocity v < sub > A </ sub > and the output power be a force F < sub > B </ sub > acts on a point that moves with velocity v < sub > B </ sub >.

Let X be some set, and 2 < sup > X </ sup > symbolically represent its power set.

" ... Let us prove that this is not what nature made, but what the blessing consecrated, and the power of blessing is greater than that of nature, because by blessing nature itself is changed.

Let the total power radiated from a point source, for example, an omnidirectional isotropic antenna, be P. At large distances from the source ( compared to the size of the source ), this power is distributed over larger and larger spherical surfaces as the distance from the source increases.

Flower power came into its own during this occupation as hippies engaged in acts of civil disobedience to plant flowers in empty lots all over Berkeley under the slogan " Let a Thousand Parks Bloom ".

Let a power be given to the Secretary to establish and maintain free schools in every city, village and township in the United States ; ... Let the youth of our country be instructed in reading, writing, and arithmetic, and in the doctrines of a religion of some kind ; the Christian religion should be preferred to all others ; for it belongs to this religion exclusively to teach us not only to cultivate peace with all men, but to forgive — nay more, to love our very enemies ....< p >

and switches between b-1 and b bits for Golomb code ( i. e. M is not a power of 2 ): Let.

Kilroy went Platinum in 1983, boasting two Top Ten hits, the synthesizer-based " Mr. Roboto " (# 3 U. S .) and power ballad " Don't Let It End.

Let A be a matrix over F. If A is diagonalizable, then so is any power of it.

Let G be a finite simple undirected graph with edge set E. The power set of E becomes a Z < sub > 2 </ sub >- vector space if we take the symmetric difference as addition, identity function as negation, and empty set as zero.

Let V be a vector space over a field K. For any nonnegative integer k, we define the k < sup > th </ sup > tensor power of V to be the tensor product of V with itself k times:

" Let us here observe, that after any portion of the human family are made acquainted with the important fact that there is a God, who has created and does uphold all things, the extent of their knowledge respecting his character and glory will depend upon their diligence and faithfulness in seeking after him, until, like Enoch, the brother of Jared, and Moses, they shall obtain faith in God, and power with him to behold him face to face.

Herodotus ( I: 96ff ) says that Deioces ( Deyaco ), father of Phraortes, was " a man of great ability and ambitious for power " in a time when there was no government in the region ; people in his own and other villages chose him to arbitrate disputes, and eventually selected him as their king: " Let us appoint one of our number to rule us so that we can get on with our work under orderly government, and not lose our homes altogether in the present chaos.

" Let me say at once that no court in this land has any power to issue a search warrant to enter a man's house so as to see if there are papers or documents there which are of an incriminating nature, whether libels or infringements of copyright or anything else of the kind.

Let 0 → G < sub > n </ sub > → … → G < sub > 0 </ sub > → 0 denote a finite complex of free R-modules such that H < sub > i </ sub >( G < sub >•</ sub >) has finite length for i > 0 and H < sub > 0 </ sub >( G < sub >•</ sub >) has a minimal generator that is killed by a power of the maximal ideal of R. Then dim R ≤ n.

Let his power flow from faith, /

The following calculation of Leibniz's nontrivial Praeclarum Theorema exemplifies the demonstrative power of the pa. Let C1 be (( A ))= A, and let OI mean that variables and subformulae have been reordered in a way that commutativity and associativity permit.

Let us now that we have it in our power convey to later posterity a renewal of our fidelity, and a confirmation of our loyalty.

Let the surplus of the sum belong to thy sanctuary, in order that by virtue of thy fortune, O saint, thou mayest come to the aid of me and Sira in all matters, and especially with respect to this petition ; and that what has been already procured for us by thy intercession, may be consummated according to the compassion of thy goodness, and the desire of me and Sira ; so that both of us, and all persons in the world, may trust in thy power and continue to believe in thee.

Let z be the optical axis then one can deduce separately for the x and the y axis that the refractive power is again the square of the refractive power of a single lens.

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??