Let f be the function which maps database entries to 0 or 1, where f ( ω )= 1 if and only if ω satisfies the search criterion.

Let T be the period ( for example the time between two greatest eastern elongations ), ω be the relative angular velocity, ω < sub > e </ sub > Earth's angular velocity and ω < sub > p </ sub > the planet's angular velocity.

Let P → M be a principal bundle over a manifold M with structure Lie group G and a principal connection ω.

Let ω be a form on a n-dimensional real vector space V, ω ∈ Λ < sup > 2 </ sup >( V ).

Let V < sup >∗</ sup > be the dual vector space of V. In other words, V < sup >∗</ sup > is the set of all linear maps from V to C with addition defined over it in the usual linear way, but scalar multiplication defined over it such that for any z in C, ω in V < sup >∗</ sup > and X in V. This is usually rewritten as a contraction with a sesquilinear form 〈·,·〉.

A divisor corresponding to ω < sub > X </ sub > is called the canonical divisor and is denoted by K. Let l ( D ) be the dimension of.

Let ω be an Ehresmann connection on P ( which is a-valued one-form on P ).

Let f be a measurable function with real or complex values, defined on a measure space ( X, F, ω ).

# Let ω = 2π / h.

Let ω be the ratio between the distances from the random points and the distances calculated from the nearest neighbour calculations.

Let ( M, g, ω, J ) be an almost Hermitian manifold of real dimension 2n and let ∇ be the Levi-Civita connection of g. The following are equivalent conditions for M to be Kähler:

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 G = Z < sub > 3 </ sub >, the cyclic group of three elements with generator a.

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 us take the generator η of this group which sends μ to μ < sup > 3 </ sup >.

Let denote the coset of the ith row of the coset table, and let denote generator of the jth column.

Let be the generator matrix for a Walsh-Hadamard code of dimension.

Let be the generator matrix of

* Let g < p be a randomly chosen generator of the multiplicative group of integers modulo p.

Let R < sub > i </ sub > be the resistances on the branches with no generator.

Let V be a smooth vector field on a smooth manifold M. There is a unique maximal flow D → M whose infinitesimal generator is V. Here D ⊆ R × M is the flow domain.