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But these actions can sometimes be justified in very particular cases, which we've seen various nations attempt to invoke with respect to Isis.
Multivalued complementarity problems are also very particular cases of QVI.
However, as in some very particular cases Hermitean monogenicity is equivalent with (anti holomorphy in complex variables (see [12]), such a representation formula could not take the traditional form as in the complex plane or in Euclidean Clifford analysis.
However, as in some very particular cases Hermitean monogenicity turns out to be equivalent with anti-holomorphy in complex variables (see [11]), it was predictable that such a representation formula could not, in the present setting, take the traditional form as in the complex plane or in Euclidean Clifford analysis.
We could see in Section 3 and Section 4 (cf. also [25]) that, as very particular cases, with every compact self-map (fcolon Xto X) of an arbitrary ANR-space X, we can associate the local and global topological invariants, namely the fixed point index (operatorname{ind}(f mathcal{U} inmathbb{Z}) and the generalised Lefschetz number (Lambda(f inmathbb{Z}).
And, in very particular cases, they can illuminate something more.
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Reading is a very particular case, if you think about the arts.
Hobby Lobby's defenders have emphasized that this is a very particular case: the Greens, the company's owners, are devout, and they are only objecting to four contraceptives.
A very particular case occurred on the 10th of February, 1620.
But this is a very particular case of a more complicated case with state-dependent impulses.
If (A=mathbb {R}), then (B_p(mathbb {R})) contains, as a very particular case, the classical (A_p(mathbb {R})) weights appearing in Harmonic Analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com