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Page "Kramers–Kronig relations" ¶ 8
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We and choose
We are left to choose between the two Lindemanns.
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.
We must yield to the divine will, he says ; we cannot pick and choose and accept only what we can understand.
We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.
We therefore reach out to the couple with the hope that the non-Jewish partner will move closer to Judaism and ultimately choose to convert.
We choose this integrating factor because it has the special property that its derivative is itself times the function we are integrating, that is:
We support the decision of those who choose to officiate at rituals of union for same-sex couples, and we support the decision of those who do not.
We must therefore choose leaders who will surround themselves with righteous followers, who will then create the hierarchy that harmonizes Shi / Fei.
" We choose then ", they said to the people, " our Archdeacon Hildebrand to be pope and successor to the Apostle, and to bear henceforward and forever the name of Gregory " ( 22 April 1073 ).
... We suspect, more generally, that for any quantum system in a classical wormhole spacetime with a stable Cauchy horizon, the sum over all self-consistent histories will give unique, self-consistent probabilities for the outcomes of all sets of measurements that one might choose to make.
We would have chorn for chosen in Modern English if the consonantal shell of choose and chose had not been morphologically levelled ( cf.
We are justified in assuming that in an earlier and more barbarous age it was the universal practice in ancient Italy, wherever the worship of Saturn prevailed, to choose a man who played the part and enjoyed all the traditionary privileges of Saturn for a season, and then died, whether by his own or another's hand, whether by the knife or the fire or on the gallows-tree, in the character of the good god who gave his life for the world.
We don't sing about religion ... All our songs are short stories that, if anyone would so choose they could convert it into a horror movie.
We can choose another story.
We were really taking a ‘ best of everything ’ sort of approach, almost like a band's first album, in which there's a lot of material to choose from ,” Fagenson notes.
Nevertheless, he claims, " We do not have to choose between the US and Iraqi reactionary forces.
We can easily choose to use another orthonormal coordinate system () instead.
" Hammarskjöld writes, for example, " We are not permitted to choose the frame of our destiny.
We choose.
We choose the product of morphisms.
We must rather focus on those cardinal acts on which our whole existence hinges the moments which place us at the parting of roads, and as we then choose, our choice, the dread Either / Or, will either save or ruin us.
We choose therefore in the text as common designation of them both the term projective geometry.
We are increasingly free to choose what we want to do and who we want to be ( although Giddens contends that wealth gives access to more options ).
We want to choose β and r < nowiki >'</ nowiki > so that the invariants described above hold.

We and contour
We first construct The Nyquist Contour, a contour that encompasses the right-half of the complex plane:
We then decompose the integral into its contributions along each of these three contour segments.

We and trace
We may thus trace the notion of individual autonomy from its manifestation in religious practice and theological reflection through practical politics and political theory into literature and the arts.
We were less than a quarter of a mile from the road, and we could trace its shape from the ribbon of powder smoke and dust that hung over it.
We straightened Pops up and I made sure there was no trace of a heartbeat.
We can trace them in the documents, but in the archeology and in the toponymy too.
" We always picture a very noble character to ourselves as having a certain trace of silent sadness ...
We can trace Isaac Singer of sewing machine fame here in 1837, when he was better known for his acting than his machinery skills.
We learn from various sources the names of many such institutes ; as a rule, they soon perished and left no trace.
We could trace the history of the Meichu Games to the 1960s.
Despite sinking with relatively little trace, Wendy Page and Jim Marr went on to pen some big hits for Martine McCutcheon ( Perfect Moment ) and Billie Piper ( Honey to the Bee, Because We Want To ) and also wrote and produced Dangerous To Know on Hilary Duff's second album.
We have no trace even of these people's language ; however we do know that they buried their dead, and had the skills to grow cereal, farm and make pottery, stone tools and jewelry.
He has said about the creation of L = A = N = G = U = A = G = E, " We tried to trace a history of radical poetics, taking up the model presented in Jerome Rothenberg ’ s Revolution of the Word, and later by Rothenberg and Pierre Joris in Poems for the Millennium and Marjorie Perloff in The Futurist Moment.
We can use the existence of the splitting field to define reduced norm and reduced trace for a CSA A. Map A to a matrix ring over a splitting field and define the reduced norm and trace to be the composite of this map with determinant and trace respectively.
We cannot trace these small improvements correctly with the relative measure ( output / input ) but we have to use the absolute measure real income and its derivatives.
We also know, from the trace definition, that P lies in a quadratic extension of Q.
We trace the deeper roots of this failure to the profession ’ s
We see that this is satisfied if is as defined above via the partial trace.
We can trace this idea to the teaching of Empedocles.
We can again use the " cyclic property " of the trace to write
We find little or no trace of them before Constantine made Christianity the state religion, i. e. before the 4th century ; and as early as the 6th century the baptismal font was built in the porch of the church and then in the church itself.
We have been unable to trace the whereabouts of his other manuscript collections, which were clearly very numerous, and are stated by contemporaries to have been invaluable so far as they related to the abbey and city of Westminster.
We can trace the division of the circle into 360 degrees and the day into hours, minutes, and seconds to the Babylonians who had sexagesimal system of numbers.

2.958 seconds.