現在進行形の否定文

In particular we conclude that the Lorentz covariant nonlinear Dirac equations we have explicitly studied in this paper are not gauge equivalent to the linear Dirac equation.

where it does not matter). 10.4] for a discussion of the relation between sequences of this form and elliptic divisibility sequences defined via a bilinear recurrence or the sequence

In the latter half of the section and in the Appendix 3, we prove stronger results on elliptic eta-products: 1) an elliptic eta-product η (R,G) is holomorphic (resp. cuspidal) if

An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of Schechter, in a situation where this theorem does not

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In [11, 13], the turnpike property was defined using the notion of statistical convergence (see [3]) and it was proved that all optimal trajectories have the same unique

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We now prove that the second cohomology groups of irreducible peculiar modules which are not mentioned in the formulation of theorem 1.1 are trivial.. The lists of highest weights