Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations

In this paper, we first introduce the concepts and properties of the square-mean weighted pseudo almost automorphy and the square-mean bi-almost automorphy for a stochastic process. With these preliminary settings and by virtue of the theory of the semigroups of the operators, the Banach fixed point theorem and the stochastic analysis techniques, we investigate the well-posedness of the square-mean weighted pseudo almost automorphic solutions for a general class of non-autonomous stochastic evolution equations that satisfy either global or only local Lipschitz condition. Moreover, we estimate the boundedness of attractive domain for the case where the only local Lipschitz condition is taken into account. Finally, we provide two illustrative examples to show the practical usefulness of the analytical results that we establish in the paper.     

The d-very ampleness of adjoint line bundles on quasi-elliptic surfaces

In this paper, we give a numerical criterion of Reider-type for the d-very ampleness of the adjoint line bundles on quasi-elliptic surfaces, and meanwhile we give a new proof of the vanishing theorem on quasi-elliptic surfaces emailed from Langer and show that it is the optimal version.     

Highly Chemoselective Synthesis of Indolizidine Lactams by SmI2‐Induced Umpolung of the Amide Bond via Aminoketyl Radicals: Efficient Entry to Alkaloid Scaffolds

Samarium(II) iodide enables a wide range of highly chemoselective umpolung radical transformations proceeding by electron transfer to carbonyl groups; however, cyclizations of important nitrogen‐containing precursors have proven limited due to their prohibitive redox potential. Herein, we report the first reductive cyclizations of unactivated cyclic imides onto N‐tethered olefins using SmI₂/H₂O. This new umpolung protocol leads to the rapid synthesis of nitrogen‐containing heterocycles that are of particular significance as precursors to pharmaceutical pharmacophores and numerous classes of alkaloids. The reaction conditions tolerate a wide range of functional groups. Excellent chemoselectivity is observed in the cyclization over amide and ester functional groups. Such unconventional reactivity has important implications for the design and optimization of new bond‐forming reactions by umpolung radical processes. The reaction advances the SmI₂ cyclization platform to the challenging unactivated N‐tethered acyl‐type radical precursors to access nitrogen‐containing architectures.     

Identification and Simultaneous Determination of Mangiferin,Neomangiferin, Timosaponin A-III,and Timosaponin C in Rhizoma Anemarrhenae by Rapid Resolution Liquid Chromatography Coupled with Triple Quadrupole Mass Spectrometry

A new and rapid method was developed for simultaneous determination of mangiferin, neomangiferin, timosaponin A-III, and C in Rhizoma Anemarrhenae using rapid resolution liquid chromatography coupled with triple quadrupole mass spectrometry. The analysis was performed on an Eclipse Plus C₁₈ column (I.D. 4.6 × 100 mm, 3.5 μm). Electrospray ionization–tandem interface in the negative mode was employed prior to mass spectrometric detection. Quantitation was based on multiple reaction monitoring (MRM) for determination. Limits of detection (LODs) ranged from 0.7 to 3 pg. The average recoveries ranged from 98.16 to 100.7% with RSDs ≤ 2.03%. The established method was validated, sensitive, and reliable.     

Uv Dye Lasers

The moat important property of visible dye lasere, that is continuous wave length tuning, stimulated the search for dyes capable to lase UV. And they were founed in 1668¹. Now the need In tunable UV laeers for applications in spectroacopy, photochemistry, isotope separation, remote air and sea probing, etc. ie only more clearly Been. The object of thie paper is to review shortly some recent advances In UV dye lasers.     

Optimality theory for semi-infinite linear programming ∗

This paper presents an exhaustive approach to optimality theory in semi-infinite linear programming, placing a special emphasis on generality. After surveying optimality conditions for general problems, a detailed analysis is made of problems in which the coefficients are continuous functions of a parameter which varies on a compact set, adopting a feasible directions approach. Lastly, the case of analytical coefficients over an interval is considered in some detail.