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Then and W
* Then and Now by W. Somerset Maugham
Then US President George W. Bush accused Osama bin Laden and Khalid Sheikh Mohammed as the faces behind the attacks.
We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.
Then, in February 1905, his eldest son W. G.
Then, in testimony before the House Rules Committee on May 7-8, Post proved " a convincing speaker with a caustic tongue " and defended himself so successfully that Congressman Edward W. Pou, a Democrat presumed to be an enthusiastic supporter of Palmer, congratulated him: " I feel that you have followed your sense of duty absolutely.
Then W. E. B.
Then T. W.
Then in 1991, President George H. W. Bush made an attempt to abolish affirmative action altogether claiming that “ any regulation, rule, enforcement practice or other aspect of these programs that mandates, encourages, or otherwise involves the use of quotas, preferences, set-asides or other devices on the basis of race, sex, religion or national origin are to be terminated as soon as is legally feasible.
Then W is a subspace if and only if it satisfies the following three conditions:
Then W is a subspace of V.
Then p + q = ( p < sub > 1 </ sub >+ q < sub > 1 </ sub >, p < sub > 2 </ sub >+ q < sub > 2 </ sub >); since p < sub > 1 </ sub > = p < sub > 2 </ sub > and q < sub > 1 </ sub > = q < sub > 2 </ sub >, then p < sub > 1 </ sub > + q < sub > 1 </ sub > = p < sub > 2 </ sub > + q < sub > 2 </ sub >, so p + q is an element of W.
# Let p = ( p < sub > 1 </ sub >, p < sub > 2 </ sub >) be an element of W, that is, a point in the plane such that p < sub > 1 </ sub > = p < sub > 2 </ sub >, and let c be a scalar in R. Then cp = ( cp < sub > 1 </ sub >, cp < sub > 2 </ sub >); since p < sub > 1 </ sub > = p < sub > 2 </ sub >, then cp < sub > 1 </ sub > = cp < sub > 2 </ sub >, so cp is an element of W.
Then, Howard University-trained attorneys Spotswood W. Robinson and Oliver Hill filed suit.
Then in 2004, Vice President Dick Cheney delivered a speech in Saxonburg to rally support for President George W. Bush during the United States presidential election, 2004.
Then W. W. White became its publisher and J. M. Henderson was one of its editors.
Abstractly, we can say that D is a linear transformation from some vector space V to another one, W. We know that D ( c ) = 0 for any constant function c. We can by general theory ( mean value theorem ) identify the subspace C of V, consisting of all constant functions as the whole kernel of D. Then by linear algebra we can establish that D < sup >− 1 </ sup > is a well-defined linear transformation that is bijective on Im D and takes values in V / C.
Then followed William O ’ Brien ’ s amicable and conciliatory Land Conference of 1902 involving leading landlords under Lord Dunraven and tenant representatives O ' Brien, Redmond, Timothy Harrington and T. W. Russell for the Ulster tenants.
Then Texas Governor, George W. Bush took time from the 2000 Presidential Campaign trail to attend the services with his wife Laura.
Then W can be defined as the span of w < sub > 1 </ sub >, ..., w < sub > 12 </ sub >.
Then labeling the basis elements of V by 0, 1, 2, ..., 22, ∞, W can be defined as the span of the words S < sub > t </ sub > together with the word consisting of all basis vectors.
Then by the Hausdorff condition, choose disjoint neighbourhoods W and K of x and y respectively.

Then and is
Then he would get to his feet, as though rising in honor of his own remarkable powers, and say almost invariably, `` Gentlemen, this is an amazing story!!
Then, Jesus indicated that God's forgiveness is unlimited.
Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.
Then it added: `` It is not possible to determine how extensive these ill effects will be -- nor how many people will be affected ''.
Then the words fell into a pattern: `` Mollie the Mutton is scratching her nose, Scratching her nose in the rain.
Then he thought of Aaron Blaustein standing in his rich house saying: `` God is tired of taking the blame.
Then it is marked on the inside where it comes in contact with the transom, frames, keelson and all the battens.
Then it is replaced and fastened.
Then the chines are rounded off and the bottom is rough-sanded in preparation.
Then, a group of eggs is deposited in a cavity in the beebread loaf and the egg compartment is closed.
Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.
Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.
Then, too, the utmost clinical flexibility is necessary in judiciously combining carefully timed family-oriented home visits, single and group office interviews, and appropriate telephone follow-up calls, if the worker is to be genuinely accessible and if the predicted unhealthy outcome is to be actually averted in accordance with the principles of preventive intervention.
Then the editorial added prophetically: `` how far they may reach in Asia is yet undetermined, but they fall far short of our dreams of the war conferences ''.
Then she catapults into `` everything and everybody '', putting particular violence on `` everybody '', indicating to the linguist that this is a spot to flag -- that is, it is not congruent to the patient's general style of speech up to this point.
Then comes the time when the last wire is removed and Susie walks out a healthier and more attractive girl than when she first went to the orthodontist.
Then, with the new affluence, there is actually a sallying forth into the wide, wide world beyond the precincts of New York.
Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

Then and subspace
Then C ( R ) is a subspace of R < sup > R </ sup >.
Then if we intersect each element of B with Y, the resulting collection of sets is a base for the subspace Y.
Then the subspace of consisting of functions φ such that all functional derivatives of at φ are zero, that is:
Let V be a representation of a Lie algebra g over a field F and let λ be a weight of g. Then the weight space of V with weight λ: g → F is the subspace
Then when the high energy degrees of freedoms are integrated out, the effective Hamiltonian in the low energy subspace reads
These constructions also make the Grassmannian into a metric space: For a subspace W of V, let P < sub > W </ sub > be the projection of V onto W. Then
Then the propositions of incidence are derived from the following basic result on vector spaces: given subspaces U and V of a vector space W, the dimension of their intersection is at least dim U + dim V − dim W. Bearing in mind that the dimension of the projective space P ( W ) associated to W is dim W − 1, but that we require an intersection of subspaces of dimension at least 1 to register in projective space ( the subspace
Then the subspace topology on is defined as the coarsest topology for which is continuous.
: Then the kernel of s is the one-dimensional subspace consisting of all vectors ( x < sub > 1 </ sub >, 0, 0, ...).
Then is the real Lie algebra of skew-symmetric matrices, so that, while is the subspace of symmetric matrices.

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