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

1644 Oxford, while around the outside of the coin is the legend – Let God arise and His enemies be scattered.

In 1644 the Aberystwyth obverse was used to produce a coin with the reverse showing the Declaration of Oxford: – The religion of the Protestants, the laws of England, the liberty of Parliament 1644, while around the outside of the coin is the legend – Let God arise and His enemies be scattered.

Let the third random variable Z be equal to 1 if one and only one of those coin tosses resulted in " heads ", and 0 otherwise.

Let X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > be indicator variables for heads in a sequence of flips of the first coin.

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 T be a linear operator represented by the matrix

Let the samples of be represented by the sequence, and let be represented by the sequence which correspond to the same points in time.

Let the samples of be represented by the sequence, and let be represented by the sequence which correspond to the same points in time.

Let this property be represented by just one scalar variable, q, and let the volume density of this property ( the amount of q per unit volume V ) be ρ, and the all surfaces be denoted by S. Mathematically, ρ is a ratio of two infinitesimal quantities:

Let open be chosen from a set of size, i. e., it can represented as a k bit string, and let be the corresponding commitment scheme.

* Let, where || denotes concatenation and is represented as a bit string.

Lindsay's vision was represented on songs such as " Let Me " ( a 1969 gold single ), and the albums Hard ' N ' Heavy ( with marshmallow ) and Alias Pink Puzz.

Let these rotations and reflections operate on all points on the plane, and let these points be represented by position vectors.

Let the available colors be represented by the q < sup > 2 </ sup > different two-digit numbers in radix q.

Thus Q defines an inner product on dom T. Let H < sub > 1 </ sub > be the completion of dom T with respect to Q. H < sub > 1 </ sub > is an abstractly defined space ; for instance its elements can be represented as equivalence classes of Cauchy sequences of elements of dom T. It is not obvious that all elements in H < sub > 1 </ sub > can identified with elements of H. However, the following can be proved:

Anghel, along with the percussion band Sistem, represented Romania at the Eurovision Song Contest 2005, with the song Let Me Try, where they were ranked third in the final, Romania's best ever result at Eurovision.

Let the edges be coloured red or blue depending on whether the two people represented by the vertices connected by the edge are mutual strangers or mutual acquaintances, respectively.

Let us not confuse the issue by labeling the objective or the method `` psychoanalytic '', for this is a well established term of art for the specific ideas and procedures initiated by Sigmund Freud and his followers for the study and treatment of disordered personalities.

Dear Sirs: Let me begin by clearing up any possible misconception in your minds, wherever you are.

Let us now put some flesh on the theoretical bones we have assembled by giving illustrations of roleplaying used for evaluation and analysis.

): " Let what was confessed by the fathers of Nicaea prevail ".

During the January 1969 sessions for the Let It Be album, the Beatles played a slow impromptu version of " Mailman, Bring Me No More Blues " — although not written by Holly, it was popularized by him — with Lennon mimicking Holly's vocal style ; the recording was eventually released in the mid-1990s on Anthology 3.

Let denote the Bézier curve determined by the points P < sub > 0 </ sub >, P < sub > 1 </ sub >, ..., P < sub > n </ sub >.

:: Let no-one deceive you by any means, for that day will not come unless the falling away comes first, and the man of sin is revealed, the son of perdition, who opposes and exalts himself above all that is called God or that is worshiped, so that he sits as God in the temple of God, showing himself that he is God. Thess 2: 3-4

Let the path followed by the chain be given parametrically by

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.

Supporting Never Let Me Down, and preceded by nine promotional press shows, the 86-concert Glass Spider Tour commenced on 30 May.

" Let X be the unit Cartesian square ×, and let ~ be the equivalence relation on X defined by ∀ a, b ∈ (( a, 0 ) ~ ( a, 1 ) ∧ ( 0, b ) ~ ( 1, b )).

Let function composition, notated by infix, interpret the group operation.

* Enemies: How America's Foes Steal Our Vital Secrets-And How We Let It Happen, by Bill Gertz

( Let The Music Play )" can be considered part of the freestyle genre due to its use of a sample from the song, " Let The Music Play ", by Shannon.

“ Let the Music Play ”, by Shannon, is often named as the genre's first hit, and its sound, called " The Shannon Sound ," as the foundation of the genre.

Records such as " Let Me Be the One " by Safire, " I Remember What You Like " by Jenny Burton, " Running " by Information Society, " Give Me Tonight " by Shannon and " It Works For Me " by Pam Russo enjoyed heavy New York radio airplay.