In this study, we propose an underwater ghost-imaging scheme using a modulation pattern combining offset-position pseudo-Bessel-ring (OPBR) and random binary (RB) speckle illumination. We design the experiments based on rules to order OPBR patterns. retrieve ghost images by beam with different sizes. The obtained have better contrast-to-noise rate compared RB imaging under same conditions. veri...

The asymmetric unit of the enanti-omerically pure title compound, C18H18N2O3S, comprises two independent mol-ecules (A and B) having almost identical conformations. When overlayed, the alignment-r.m.s. deviation value is 0.30 Å. The six-membered heterocycle has a twisted half-chair conformation in both mol-ecules. The O atom on the S atom of the ring is pseudo-axial on the thia-zine ring and tr...

Adjoining to the language of rings function symbols for splitting coefficients, relative $p$-coordinate functions, and division predicate a valuation, some theories pseudo-algebraically closed non-trivially valued fields admit quantifier elimination. It is also shown that in same theory given exponent imperfection does not elimination, due Galois theoretic obstructions.

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We give an explicit construction of the antiequivalence of the category of finite flat commutative group schemes of period 2 defined over a valuation ring of a 2-adic field with algebraically closed residue field. This result extends the earlier author’s approach to group schemes of period p > 2 from Proceedings LMS, 101, 2010, 207-259.

We show that standard arguments for deformations based on dimension counts can also be applied over a (not necessarily Noetherian) valuation ring A of rank 1. Key intermediate results are a principal ideal theorem for schemes of finite type over A, and a theorem on subadditivity of intersection codimension for schemes smooth over A.

We give axiomatizations and prove quantifier elimination theorems for first-order theories of unramified valued fields with an automorphism having a close interaction with the valuation. We achieve an analogue of the classical Ostrowski theory of pseudoconvergence. In the outstanding case of Witt vectors with their Frobenius map, we use the ∂-ring formalism from Joyal.

We give an affirmative answer to a conjecture proposed by Tevelev [16] in characteristic 0 case: any variety contains a schön very affine open subvariety. Also we show that any fan supported on the tropicalization of a schön very affine variety produces a schön compactification. Using toric schemes over a discrete valuation ring, we extend tropical compatifications to the non-constant coefficie...