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Let now v and w be two vertices in G. Any spanning tree contains precisely one simple path between v and w. Taking this path in the uniform spanning tree gives a random simple path.
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Let and now
Let us now put some flesh on the theoretical bones we have assembled by giving illustrations of roleplaying used for evaluation and analysis.
Let now x ' and y ' be tuples of previously unused variables of the same length as x and y respectively, and let Q be a previously unused relation symbol which takes as many arguments as the sum of lengths of x and y ; we consider the formula
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 have been fighting against their brothers and relatives now fight in a proper way against the barbarians.
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 ’ 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 >.
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 v
Let the input power to a device be a force F < sub > A </ sub > acting on a point that moves with velocity v < sub > A </ sub > and the output power be a force F < sub > B </ sub > acts on a point that moves with velocity v < sub > B </ sub >.
Let the quantities u and v be the horizontal and vertical components of the velocity field of a steady incompressible, irrotational flow in two dimensions.
Let the ship moves with velocity v. In the ship reference frame, capturing the 4 hydrogen we losing a momentum:
Let u, v be arbitrary vectors in a vector space V over F with an inner product, where F is the field of real or complex numbers.
Let m < sub > 1 </ sub > and m < sub > 2 </ sub > be the masses, u < sub > 1 </ sub > and u < sub > 2 </ sub > the velocities before collision, and v < sub > 1 </ sub > and v < sub > 2 </ sub > the velocities after collision.
Let A be an m × n matrix, with column vectors v < sub > 1 </ sub >, v < sub > 2 </ sub >, ..., v < sub > n </ sub >.
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 u and v be continuous functions in x, and let dx, du and dv be infinitesimals within the framework of non-standard analysis, specifically the hyperreal numbers.
Let v ∈ T < sub > p </ sub > M be a tangent vector to the manifold at p. Then there is a unique geodesic γ < sub > v </ sub > satisfying γ < sub > v </ sub >( 0 )
Let S be the number of particles in the swarm, each having a position x < sub > i </ sub > ∈ < sup > n </ sup > in the search-space and a velocity v < sub > i </ sub > ∈ < sup > n </ sup >.
Let s be the function mapping the sphere to itself, and let v be the tangential vector function to be constructed.
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