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 X and Y be discrete random variables, then the conditional expectation of X given the event Y = y is a function of y over the range of Y

In the definition of conditional expectation that we provided above, the fact that Y is a real random variable is irrelevant: Let U be a measurable space, that is, a set equipped with a σ-algebra of subsets.

Let the mutation rate correspond to the probability that a j type parent will produce an i type organism.

Let us assume the bias is V and the barrier width is W. This probability, P, that an electron at z = 0 ( left edge of barrier ) can be found at z = W ( right edge of barrier ) is proportional to the wave function squared,

Let X be a random variable with a discrete probability distribution p depending on a parameter θ.

Let X be a random variable with a continuous probability distribution with density function f depending on a parameter θ.

Let be the probability that a certain coin lands heads up ( H ) when tossed.

Let ( E < sub > n </ sub >) be a sequence of events in some probability space.

Let A be an observable of the system, and suppose the ensemble is in a mixed state such that each of the pure states occurs with probability p < sub > j </ sub >.

Let be the mean of the values in associated with class c, and let be the variance of the values in associated with class c. Then, the probability of some value given a class,, can be computed by plugging into the equation for a Normal distribution parameterized by and.

Let be a probability space with a filtration, for some ( totally ordered ) index set ; and let be a measurable space.

Let be the probability of success in a Bernoulli trial.

* Let X be a random variable that takes the value 0 with probability 1 / 2, and takes the value 1 with probability 1 / 2.

* Let Z be a random variable that takes the value-1 with probability 1 / 2, and takes the value 1 with probability 1 / 2.

Let q denote the probability that a given neutron induces fission in a nucleus.

Let p ( n ; H ) be the probability that during this experiment at least one value is chosen more than once.

Let n ( p ; H ) be the smallest number of values we have to choose, such that the probability for finding a collision is at least p. By inverting this expression above, we find the following approximation

Let ( Ω, F, P ) be a probability space and let F < sub > n </ sub > be a sequence of mutually independent σ-algebras contained in F. Let

Let some precisely stated prior data or testable information about a probability distribution function be given.

Let ú be the mutation rate from allele A to some other allele a ( the probability that a copy of gene A will become a during the DNA replication preceding meiosis ).

Let the coin tosses be represented by a sequence of independent random variables, each of which is equal to H with probability p, and T with probability Let N be time of appearance of the first H ; in other words,, and If the coin never shows H, we write N is itself a random variable because it depends on the random outcomes of the coin tosses.