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Page "Emil Artin" ¶ 45
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We and obtained
`` We, the Subscribers, do agree, that as soon as a convenient Number of Persons have subscribed to this, or a similar Writing, We will present a petition to the Hon'ble General Court of the Commonwealth of Massachusetts, praying for an Act incorporating into a Body politic the subscribers to such Writing with Liberty to build such a Bridge, and a Right to demand a Toll equal to that received at Malden Bridge, and on like Terms, and if such an Act shall be obtained, then we severally agree each with the others, that we will hold in the said Bridge the several shares set against our respective Names, the whole into two hundred shares being divided, and that we will pay such sums of Money at such Times and in such Manners, as by the said proposed Corporation, shall be directed and required ''.
We can find the angle at which a first minimum is obtained in the diffracted light by the following reasoning.
We can distort a dual polyhedron such that it can no longer be obtained by reciprocating the original in any sphere ; in this case we can say that the two polyhedra are still topologically dual.
When a general said in a meeting " We should throw in a nuke once in a while to keep the other side guessing ," Dyson became alarmed and obtained permission to write an objective report discussing the pros and cons of using such weapons from a purely military point of view.
We also note that a two-body Dirac equation composed of a Dirac operator for each of the two point particles interacting via the Coulomb interaction can be exactly separated in the ( relativistic ) center of momentum frame and the resulting ground state eigenvalue has been obtained very accurately using the Finite element methods of J. Shertzer.
In a speech to his constituents on 10 October Fox said: " We have not, I acknowledge, obtained the objects for which the War was undertaken — so much the better — I rejoice that we have not.
The deeds which had been obtained by Henry and his associates were considered invalid, causing Henry to moan, " We have lost a fortune of at least one million of dollars.
" Come to the USA " obtained over four million YouTube unique views while " We the People " had obtained over three million.
We can also define the topology on the ordinals in the following inductive way: 0 is the empty topological space, α + 1 is obtained by taking the one-point compactification of α ( if α is a limit ordinal ; if it is not, α + 1 is merely the disjoint union of α and a point ), and for δ a limit ordinal, δ is equipped with the inductive limit topology.
We call u, v, w, t, the successive vectors obtained with that rotation.
This attempt to silence Muir was, however, overwhelmingly opposed and although the Address ‘ in its original form ’ was ultimately rejected, Muir obtained permission to read it over and ended by declaring to the Convention, ‘ We do not, we cannot, consider ourselves as mowed and melted down into another country.
We build a directed acyclic graph, where the vertices are the trapezoids that existed at some point in the refinement, and the directed edges connect the trapezoids obtained by subdivision.
We are not accurately informed how Whiston obtained possession of this work, but it is stated by one of the editors of the English edition " that Mr Whiston, thinking it a pity that so noble and useful a work should be doomed to a college confinement, obtained leave to make it public.
He found little evidence for further subdivision into thirty two, but noted " We do not know how sophisticated prehistoric man's calendar was, but the interesting thing is that he obtained declinations very close to those we have obtained as ideal ".
Let V be a vector space over a field K, and let N be a subspace of V. We define an equivalence relation ~ on V by stating that x ~ y if x − y ∈ N. That is, x is related to y if one can be obtained from the other by adding an element of N. From this definition, one can deduce that any element of N is related to the zero vector ; in other words all the vectors in N get mapped into the equivalence class of the zero vector.
We now ask about the generating function of configurations obtained when there is more than one set of slots, with a permutation group acting on each.
We note that the same results can be obtained by computing and decimating an L-length DFT, but that is not computationally efficient.
" We believe that the eternal redemption which Christ has obtained by the shedding of His blood is special and particular ; that is to say, that it was intentionally designed only for the Elect of God, the Sheep of Christ, who therefore alone share in the special and peculiar blessings thereof.
* " We grudge no man a fortune in civil life if it is honorably obtained and well used.
We obtained and refer you to the enclosed slips from the enemy ’ s newspapers, which afford their testimony of the terrible effects of this blow.

We and first
We note that, first, America has already made great contributions in the past two years to the world's fund of knowledge of astrophysics and space science.
`` We are menaced for the first time in the history of the Republic by the open and unblushing effort of a multi-millionaire to purchase the Presidential nomination.
We stopped first at the amphitheater that lies at the foot of the height crowned by the Parthenon.
We saw it frequently afterward, but our suggestion for the very first encounter is near sunset.
We find, in the first place, that the students overwhelmingly approve of higher education, positively evaluate the job their own institution is doing, do not accept most of the criticisms levelled against higher education in the public prints, and, on the whole, approve of the way their university deals with value-problems and value inculcation.
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We who are living today may learn a valuable lesson from those who celebrated the first Thanksgiving Day.
We quickly ran into the same trouble that plagued Bill Ruger in his first experiments: Three or four bullets would be placed well in a six-inch bull at 100 yards and then, unaccountably, one could stray far out of the group.
We unanimously agreed that Prokofieff had won his rights as a world citizen to the first ranks of Twentieth-Century Composers.
We first discuss the Af bond in Af.
We shall show that the polynomials Af behave in the manner described in the first paragraph of the proof.
We first show that the function is single-valued in some neighborhood.
We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.
We observe first that no line, l, can meet its image except at one of its intersections with Q.
We should first recognize our tendency to develop a hierarchy of values, locating brief treatment at the bottom and long-term intensive service at the top, instead of seeing the services as part of a continuum, each important in its own right.
We will deal first with the program in the Congo though this was put into operation later than the other.
We should say that we made our point with feeling the first time and little or no feeling the second time, but that it was the same point we were making.
We had looked forward to what we hoped to be our first informal meeting with a number of Moscow's artists.
`` Disaffiliation '', by the way, is the term used by the critic and poet, Lawrence Lipton, who has written several articles on this subject, the first of which, in The Nation, quoted as Epigraph: `` We disaffiliate.
We first see him shaking Mrs. Joe's hand on discovering the sizable amount of the premium paid to her husband for Pip's indenture as an apprentice and later pumping Pip's hands `` for the hundredth time at least '' ( `` May I -- may I -- ''??
We visited the Okamoto home -- where for the first time I saw the famous tea ceremony.
`` We intend to attend the downtown theaters before the first of the year '', the identically worded letters said.
We may show, first, that there cannot possibly be an alternative other than the three typically represented by Bultmann, Barth, and Buri.
Clearly we can do this: We start at the first box, choose an item ; go to the second box, choose an item ; and so on.
Even his old literary home, Punch, where the When We Were Very Young verses had first appeared, was ultimately to reject him, as Christopher Milne details in his autobiography The Enchanted Places, although Methuen continued to publish whatever Milne wrote, including the long poem ' The Norman Church ' and an assembly of articles entitled Year In, Year Out ( which Milne likened to a benefit night for the author ).

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