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This then gives a criterion for the existence of gaps in the spectrum of the DML, as well as other interesting spectral properties of such DMLs.
Our argument relies on a 2-adic automorphy lifting theorem over CM fields together with a "2-3 swithat that gives a criterion for when a given mod 6 representation arises from an elliptic curve.
The following lemma gives a criterion of the boundedness of operators from (H^{varphi}) to (L^{varphi}).
Further, Duverney [18] proved a theorem that gives a criterion for the sums of infinite series to be transcendental.
This equation gives a criterion for soliton polarity, in which P > 0 refers to the compressive solitons, while for P < 0 a rarefactive soliton may be predict in the present plasma system.
With respect to interpretation, the MHI confronts quantum contextuality by selecting a preferred context, and has proved to be able to supply an account of the measurement problem, both in its ideal and its non-ideal versions; moreover, in the non-ideal case it gives a criterion to distinguish between reliable and non-reliable measurements (Lombardi and Castagnino 2008, Section 6).
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The minimum peripheral flowrate is product and concentration dependent and not well known.The force balance of Hartley and Murgatroyd gives a criteria for the existence of stable dry patches in a film and thus the likelihood of fouling.
We give a criterion for the logarithmic Sobolev inequality (LSI) on the product space X1×⋯×XN.
We also give a criterion to determine whether the orbit attitude coupling needs to be considered.
An ironist may worry "that she has been... taught the wrong language game," but "she cannot give a criterion of wrongness".
Then we give a criterion for sequences of reproducing kernels which form an unconditional basis in their closed linear span.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com