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Page "Rankine–Hugoniot conditions" ¶ 36
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Let and solution
Let her out, let her out -- that would be the solution, wouldn't it??
Let e be the error in b. Assuming that A is a square matrix, the error in the solution A < sup >− 1 </ sup > b is A < sup >− 1 </ sup > e.
Let us suppose now that there is at least a positive solution, and let be the minimal one.
Let x ∈ < sup > n </ sup > designate a position or candidate solution in the search-space.
Let us examine some other cases ; we shall find that Peacock's principle is not a solution of the difficulty ; the great logical process of generalization cannot be reduced to any such easy and arbitrary procedure.
Let be a unique solution of the
Let us attempt to find a solution which is not identically zero satisfying the boundary conditions but with the following property: u is a product in which the dependence of u on x, t is separated, that is:
Let y ( t ; a ) denote the solution of the initial value problem
Let be the solution to above PDE.
Suppose that the Fermat equation with exponent &# 8467 ; ≥ 3 had a solution in non-zero integers a, b, c. Let us form the corresponding Frey curve E. It is an elliptic curve and one can show that its discriminant Δ is equal to 16 ( abc )< sup > 2 &# 8467 ;</ sup > and its conductor N is the radical of abc, i. e. the product of all distinct primes dividing abc.

Let and exhibit
Let Marcion then exhibit, as gifts of his god, some prophets, such as have not spoken by human sense, but with the Spirit of God, such as have both predicted things to come, and have made manifest the secrets of the heart ; let him produce a psalm, a vision, a prayer -- only let it be by the Spirit, in an ecstasy, that is, in a rapture, whenever an interpretation of tongues has occurred to him ; let him show to me also, that any woman of boastful tongue in his community has ever prophesied from amongst those specially holy sisters of his.

Let and jump
Let h be the jump intensity.
Let z be the magnitude of the jump and let be the distribution of z.
In Ada Gay Griffin and Michelle Parkerson ’ s documentary A Litany for Survival: The Life and Work of Audre Lorde, Lorde says, " Let me tell you first about what it was like being a Black woman poet in the ‘ 60s, from jump.
Let the value of the soldier's square be, then the total change in score after a positive jump is.
Let us choose a value of such that the change in score for any type of jump is never positive.

Let and shock
For example, Doris Wishman's Let Me Die A Woman contains elements of both shock documentary and sexploitation.

Let and at
Let us look in on one of these nerve centers -- SAC at Omaha -- and see what must still happen before a wing of B-52 bombers could drop their Aj.
Let us, like the French, have outdoor cafes where we may relax, converse at leisure and enjoy the passing crowd.
Let me say at the outset that the music sounded as sparkling on the last playing as it did on the first.
Let the body down slowly, taking at least five seconds for the letting down.
Let us not try to key them out at this stage of the game, and let us just call them Bombus.
Let us look at the operator Af.
Let us also assume the existence of only one class or type of service, all of which is supplied at the same voltage, phase, etc. to residential, commercial, and industrial customers.
Let us suppose that the animal did not in fact fall into the trap and did not suffer at all, but that we mistakenly believe it did, and say as before that its suffering was an evil thing.
Let us look at the heavy-electrical-goods industry in which General Electric, Westinghouse and a number of other manufacturers were recently convicted of engaging in a conspiracy to rig prices and allocate the market.
Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.
Let the function g ( t ) be the altitude of the car at time t, and let the function f ( h ) be the temperature h kilometers above sea level.
Let M be a smooth manifold and let x be a point in M. Let T < sub > x </ sub > M be the tangent space at x.
Let M be a smooth manifold and let x be a point in M. Let I < sub > x </ sub > be the ideal of all functions in C < sup >∞</ sup >( M ) vanishing at x, and let I < sub > x </ sub >< sup > 2 </ sup > be the set of functions of the form, where f < sub > i </ sub >, g < sub > i </ sub > ∈ I < sub > x </ sub >.
Let g be a smooth function on N vanishing at f ( x ).
Ancient resources as well as recent archaeological evidence suggest that, at one point, Caligula had the palace extended to annex this structure. When several kings came to Rome to pay their respects to him and argued about their nobility of descent, he cried out " Let there be one Lord, one King ".
Peaking at number six in the UK, the album yielded the hits " Day-In, Day-Out " ( his 60th single ), " Time Will Crawl ", and " Never Let Me Down ".
It is unclear which version of the paradox is stronger .< ref group =" Note "> Let be the number of civilizations ( per unit volume ) that can be seen at a radius.
Let be the number of particles at position at time.
Let A ( k ) be its Fourier transform at time 0:
Another notable ( and defiant ) phrase in the speech was also spoken in German, " Lass ' sie nach Berlin kommen " (" Let them come to Berlin ")-- addressed at those who claimed " we can work with the Communists ", a remark which Nikita Khrushchev scoffed at only days later.
Ashcroft composed a paean called " Let the Eagle Soar " which he sang at the Gordon-Conwell Theological Seminary in February 2002, which was satirically featured in Michael Moore's 2004 movie Fahrenheit 9 / 11 and has been frequently mocked by comedians such as David Letterman, Stephen Colbert and David Cross, to name a few.

Let and integrate
* Let the peoples of Africa know what the objectives and policies of the African Union are so that they might be able to integrate themselves contentally while still working within the framework of the AU.

Let and over
Let me pass over the trip to Sante Fe with something of the same speed which made Mrs. Roebuck `` wonduh if the wahtahm speed limit '' ( 35 m.p.h. ) `` is still in ee-faket ''.
One means to help the birds occurs to me: Let the chimes that ring over Washington Square twice daily, discontinue any piece of music but one.
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 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 Af where the maximization is over all admissible policies Af.
Let him call for the elders of the church, and let them pray over him, anointing him with oil in the name of the Lord ; and the prayer of faith will save the sick man, and the Lord will raise him up ; and if he has committed sins, he will be forgiven.
After Bennett's death his son took over the company, and the posters were replaced with pictures of the son ( who looked imposing and stern in contrast to his father's kindly demeanour ) with the text " Let me be your big brother.
Let V, W and X be three vector spaces over the same base field F. A bilinear map is a function
Let A be a unital commutative Banach algebra over C. Since A is then a commutative ring with unit, every non-invertible element of A belongs to some maximal ideal of A.
Let S be a vector space over the real numbers, or, more generally, some ordered field.
Let '~' denote an equivalence relation over some nonempty set A, called the universe or underlying set.
Let G denote the set of bijective functions over A that preserve the partition structure of A: ∀ x ∈ A ∀ g ∈ G ( g ( x ) ∈ ).
Let G be a set and let "~" denote an equivalence relation over G. Then we can form a groupoid representing this equivalence relation as follows.
Let us invite over my son Octa, and his brother Ebissa, who are brave soldiers, and give them the countries that are in the northern parts of Britain, by the wall, between Deira and Albania.
states Isaac's blessing: " Therefore God give thee of the dew of heavens, and the fatness of the earth, and plenty of corn and wine: Let people serve thee: be lord over thy brethren, and let thy mother's sons bow down to thee: cursed be every one that curseth thee, and blessed be he that blesseth thee.
Let V and W be vector spaces over the same field K. A function f: V → W is said to be a linear map if for any two vectors x and y in V and any scalar α in K, the following two conditions are satisfied:
Let be a set and a σ-algebra over.
Let those who go not put off the journey, but rent their lands and collect money for their expenses ; and as soon as winter is over and spring comes, let them eagerly set out on the way with God as their guide.
Let M and N be ( left or right ) modules over the same ring, and let f: M → N be a module homomorphism.
Let C be the category of vector spaces K-Vect over a field K and let D be the category of algebras K-Alg over K ( assumed to be unital and associative ).
Let X be a topological vector space over K. Namely, X is a K vector space equipped with a topology so that vector addition and scalar multiplication are continuous.

7.097 seconds.