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The massive cultural and institutional restructuring of the Empire consequent on the loss of territory in the 7th century has been said to have caused a decisive break in east Mediterranean Romanness and that the Byzantine state is subsequently best understood as another successor state rather than a real continuation of the Roman Empire.
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The crucial point is that a succession of very similar things does not constitute the real continuation of anything, only the illusion of real continuation.
And here, I suggest, a real conversation about the continuation of priestly celibacy might begin.
Three stabilization techniques for identifying the resonances and estimating resonance widths are discussed: calculation of coordinate-space moments, application of an imaginary optical potential, and analytic continuation of a real discrete spectrum using rational polynomial interpolation.
This technique, when applied to a real analytic function f, results in the analytic continuation of f in the usual sense.
Correction: April 4, 2004, Sunday A picture caption last Sunday with the continuation of an article about rising home prices misstated the affiliation of Yami Dotan, a real estate agent in Roslyn Heights.
When the homotopic parameter λ is a real number and when the path is linear3 in λ, the homotopy method is rather called a continuation method.
As a continuation of politics by other means, there is a lot to be said for cricket, especially when war has, until recently, seemed a real alternative.
REAL ESTATE Continuation lines for the cover article and for the Big Deal column in some editions this weekend give incorrect page numbers.
If both W and f are analytic on [ 0, 1 ], then f θ ( x ) = f ˜ ( x ) for all x ∈ I θ, where f ˜ is the (unique) real analytic continuation of f.
This work is a continuation of the concept first introduced in our publication at IV2011 [22] and tested in a real-world scenario at ITSC2012 [23].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com