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In addition to the hypotheses on, suppose that the linearized equation (1.9) has exactly one characteristic value in the interval.
Let be commuting bounded operators on Suppose that there exists such that.
In addition to the above hypotheses on, suppose that there exist and such that (1.2). (1.3).
In addition to the above hypotheses on, suppose that the partial derivatives,, are Lipschitz continuous on compact subsets of.
Let be a closed subset of and let be a w-distance on Suppose that there exists such that.
Let be a closed subset of and be a -distance on Suppose that there exists such that.
Similar(49)
It is not clear, nevertheless, that these axioms are the ones one would want as basic constraints on supposing.
The S.E.C.'s case centers on supposed "material omissions and misstatements" in IndyMac's regulatory filings.
Pouncing on supposed inaccuracies, small and large, has become something of a parlor game in Provincetown.
The Energy Department and its contractors routinely opposed such payments for compensation based on supposed radiation exposure.
Or rather, if we insist on supposing that they are, it may be for our own sentimental reasons.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com