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Page "Original proof of Gödel's completeness theorem" ¶ 28
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Let and now
Let us now give some thought to the soul.
`` Let him be now ''!!
Let us now regard D as a linear operator on the subspace V.
Let us now put some flesh on the theoretical bones we have assembled by giving illustrations of roleplaying used for evaluation and analysis.
After telling the audience " I shall now read to you the scroll of the Establishment of the State, which has passed its first reading by the National Council ", Ben-Gurion proceeded to read out the declaration, taking 16 minutes, ending with the words " Let us accept the Foundation Scroll of the Jewish State by rising " and calling on Rabbi Fishman to recite the Shehecheyanu blessing.
Let us now assume that the MTBF for a particular pump is 12 months and that it could be extended to 18 months.
Let those who have been accustomed unjustly to wage private warfare against the faithful now go against the infidels and end with victory this war which should have been begun long ago.
Let those who for a long time, have been robbers, now become knights.
Let those who have been fighting against their brothers and relatives now fight in a proper way against the barbarians.
Let those who have been serving as mercenaries for small pay now obtain the eternal reward.
Let those who have been wearing themselves out in both body and soul now work for a double honor.
Let us suppose now that there is at least a positive solution, and let be the minimal one.
Let us now bring up the second and the third claims about God that listed above: God is the creator of the world, and God exists apart from space and time.
Let the Turks now carry away their abuses, in the only possible manner, namely, by carrying off themselves.
He refused and when the picture was pushed up to his face, the prisoner seized the picture and threw it into the sea, saying, " Let our Lady now save herself: she is light enough: let her learn to swim.
Let us now imagine a Lorentz transformation to have been performed on the space and time coordinates, and on the derivative operators, which form a covariant vector.
Let us now describe one such effect.
Let ’ s tell them the truth, that there are no gains without pains, that we are now on the eve of great decisions.
Let the field be R again, but now let the vector space be the Euclidean geometry R < sup > 2 </ sup >.
Let us now consider the following very simple program:
Let us consider now two transparent patterns with a contrast I that varies with a sinusoidal law:
For similar reasons, RCA also substituted altered versions for two other tracks: " Let Me In ", changing the line " you shut your door ; you know where " to " you shut your door ; now it ain't fair.
The original pressings of the LP featuring " Runnin ' ' Round The World " and the uncensored versions of " Let Me In " and " Run Around " are now worth thousands of dollars on the collectors ' market.
Swedish author John Ajvide Lindqvist's critically praised vampire story Låt Den Rätte Komma In ( 2004 ) about the relationship of a 12-year-old boy with a 200-year-old vampire child has now been translated into English as Let the Right One In ( 2007 ) and a film adaptation has been produced.

Let and x
Let A be a complex unital Banach algebra in which every non-zero element x is invertible ( a division algebra ).
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 ).
Let x, y, z be a system of Cartesian coordinates in 3-dimensional Euclidean space, and let i, j, k be the corresponding basis of unit vectors.
Let G denote the set of bijective functions over A that preserve the partition structure of A: ∀ x ∈ A ∀ g ∈ G ( g ( x ) ∈ ).
Let X be a topological space, and let x < sub > 0 </ sub > be a point of X.
Let x < sub > 0 </ sub >, ...., x < sub > N-1 </ sub > be complex numbers.

Let and y
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 x < sub > 1 </ sub >, ..., x < sub > n </ sub > be the sizes of the heaps before a move, and y < sub > 1 </ sub >, ..., y < sub > n </ sub > the corresponding sizes after a move.
Let s = x < sub > 1 </ sub > ⊕ ... ⊕ x < sub > n </ sub > and t = y < sub > 1 </ sub > ⊕ ... ⊕ y < sub > n </ sub >.
Let ( q < sub > 1 </ sub >, w, x < sub > 1 </ sub > x < sub > 2 </ sub >... x < sub > m </ sub >) ( q < sub > 2 </ sub >, y < sub > 1 </ sub > y < sub > 2 </ sub >... y < sub > n </ sub >) be a transition of the GPDA
LET y = rnd * 20! Let the value ' y ' equal a random number between ' 0 ' and ' 20 '
Let Y = u ( X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub >) be a statistic whose pdf is g ( y ; θ ).
Let x and y be positive normalized floating point numbers.
Let y be a function given by the sum of two functions u and v, such that:
Let X be a topological space and let x and y be points in X.
Let x be a number and let y be its negative.
Let A be an abelian group, having a specific element y in A with order 2.
Let x: y: z be a variable point in trilinear coordinates, and let u
Let x = x ( u, v, w ), y = y ( u, v, w ), z = z ( u, v, w ) be defined and smooth in a domain containing, and let these equations define the mapping of into.
Let x, y, z be complex numbers, and let a, b be real numbers.
Let K be a field, and let A be a vector space over K equipped with an additional binary operation from A × A to A, denoted here by · ( i. e. if x and y are any two elements of A, x · y is the product of x and y ).

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