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On the Relative Twist Formula of l-adic Sheaves

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Acta Mathematica Sinica,English Series 2021年第1期37卷 73-94页

作者： En Lin YANG Yi Geng ZHAO School of Mathematical Sciences Peking UniversityBeijing 100871P.R.China fakultät für Mathematik Universität Regensburg93040 RegensburgGermany

We propose a conjecture on the relative twist formula of l-adic sheaves,which can be viewed as a generalization of Kato-Saito’s *** verify this conjecture under some transversal *** also define a relative cohomological characteristic class and prove that its formation is compatible with proper push-forward.A conjectural relation is also given between the relative twist formula and the relative cohomological characteristic class.

关键词： Epsilon factor twist formula cohomological characteristic class Künneth formula

Six month abstinence rule for liver transplantation in severe alcoholic liver disease patients

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World Journal of Gastroenterology 2015年第14期21卷 4423-4426页

作者： Aiman Obed Steffen Stern Anwar Jarrad Thomas Lorf Hepatobiliary and Liver Transplant Unit Jordan Hospital fakult?t für Rechtswissenschaft Universit?t Bielefeld Georg-August-University Goettingen

Alcoholic liver disease(ALD) is the second most common diagnosis among patients undergoing liver transplantation(LT).The recovery results of patients transplanted for ALD are often at least as good as those of patients transplanted for other diagnoses and better than those suffering from hepatitis C virus, cryptogenic cirrhosis, or hepatocellular *** case of medically non-responding patients with severe acute alcoholic hepatitis or acute-on chronic liver failure, the refusal of LT is often based on the lack of the required alcohol abstinence period of six *** obligatory abidance of a period of abstinence as a transplant eligibility requirement for medically non-responding patients seems unfair and inhumane, since the majority of these patients will not survive the six-month abstinence *** from various studies have challenged the 6-mo rule, while excellent survival results of LT have been observed in selected patients with severe alcoholic hepatitis not responding to medical *** with severe advanced ALD should have legal access to *** mere lack of pre-LT abstinence should not be an obstacle for being listed.

关键词： Alcohol Alcoholic hepatitis Cirrhosis Six month ab

Generating genuine multipartite entanglement via XY-interaction and via projective measurements

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Chinese Physics B 2014年第12期23卷 59-65页

作者： Mazhar Ali Department of Electrical Engineering COMSATS Institute of Information Technology22060 Abbottabad Pakistan Naturwissenschaftlich-Technische fakultt Universitt SiegenWalter-Flex-Straβe 357068 Siegen Germany

We have studied the generation of multipartite entangled states for the superconducting phase qubits. The experiments performed in this direction have the capacity to generate several specific multipartite entangled states for three and four qubits. Our studies are also important as we have used a computable measure of genuine multipartite entanglement whereas all previous studies analyzed certain probability amplitudes. As a comparison, we have reviewed the generation of multipartite entangled states via von Neumann projective measurements.

关键词： genuine multipartite entanglement superconducting qubits von Neumann measurements

Algorithm for evaluating distance-based entanglement measures

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Chinese Physics B 2023年第8期32卷 195-200页

作者：胡奕轩刘烨超尚江伟 Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement of Ministry of Education School of PhysicsBeijing Institute of TechnologyBeijing 100081China Naturwissenschaftlich-Technische fakultät Universität SiegenSiegen 57068Germany

Quantifying entanglement in quantum systems is an important yet challenging task due to its NP-hard *** this work,we propose an efficient algorithm for evaluating distance-based entanglement *** approach builds on Gilbert's algorithm for convex optimization,providing a reliable upper bound on the entanglement of a given arbitrary *** demonstrate the effectiveness of our algorithm by applying it to various examples,such as calculating the squared Bures metric of entanglement as well as the relative entropy of entanglement for GHZ states,W states,Horodecki states,and chessboard *** results demonstrate that our algorithm is a versatile and accurate tool that can quickly provide reliable upper bounds for entanglement measures.

关键词： quantum information entanglement measurement convex optimization

The structural basis of oscillation damping in plant stems-biomechanics and biomimetics

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Journal of Bionic Engineering 2004年第3期1卷 149-158页

作者： Hanns-Christof Spatz Anton Emanns Olga Speck Competence Network Biomimetics Plant Biomechanics Group Fakultt für Biologie Albert-Ludwigs-Universitt Freiburg Schnzlestr. 1 D –79104 Freiburg GermanyCompetence Network Biomimetics Plant Biomechanics Group Fakultt für BiologieAlbert-Ludwigs-Universitt Freiburg Schnzlestr. 1 D –79104 Freiburg GermanyCompetence Network Biomimetics Plant Biomechanics Group Fakultt für BiologieAlbert-Ludwigs-Universitt Freiburg Schnzlestr. 1 D –79104 Freiburg Germany

Oscillations and their damping were investigated for plant stems of Cyperus alternifolius L., Equisetum hyemale L., Equisetum fluviatile L., Juncus effuses L., Stipa gigantea Link, and Thamnocalamus spathaceus (Franch.) Soderstr. With the exception of T. spathaceus, mechanical damping of the oscillation of individual plant stems, even without side organs, leaves or inflorescences, is quite effective. Our experiments support the hypothesis that embedding stiff sclerenchymatous elements in a more compliant parenchymatous matrix provides the structural basis for the dissipation of mechanical energy in the plant stem. As an application the naturally occurring structures were mimicked in a compound material made from hemp fabrics em- bedded in polyurethane foam, cured under pressure. Like its natural model it shows plastic deformability and viscoelastic be- haviour. In particular the material is characterized by a remarkably high shock absorption capacity even for high impact loads.

关键词： biomechanics biomimetics compound materials damped oscillations plants shock absorption viscoelasticity.

A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids

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Science China Mathematics 2021年第12期64卷 2793-2816页

作者： Jun Hu Rui Ma Min Zhang LMAM and School of Mathematical Sciences Peking UniversityBeijing 100871China fakultat fur Mathematik Universitat Duisburg-EssenEssen 45127Germany Beijing Computational Science Research Center Beijing 100193China

This paper introduces a new family of mixed finite elements for solving a mixed formulation of the biharmonic equations in two and three *** symmetric stress σ=−∇^(2)u is sought in the Sobolev space H(divdiv,Ω;S)simultaneously with the displacement u in L^(2)(Ω).By stemming from the structure of H(div,Ω;S)conforming elements for the linear elasticity problems proposed by Hu and Zhang(2014),the H(divdiv,Ω;S)conforming finite element spaces are constructed by imposing the normal continuity of divσ on the H(div,Ω;S)conforming spaces of P_(k) symmetric *** inheritance makes the basis functions easy to *** discrete spaces for u are composed of the piecewise P_(k−2) polynomials without requiring any *** mixed finite elements are inf-sup stable on both triangular and tetrahedral grids for k≥3,and the optimal order of convergence is ***,the superconvergence and the postprocessing results are *** numerical experiments are provided to demonstrate the theoretical analysis.

关键词： biharmonic equation symmetric stress tensor conforming finite element mixed finite element method

Synthesis and Crystal Structure of 2-(4-Oxo-3-o- tolyl-3,4-dihydroquinazolin-2-ylthio)acetohydrazide

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Chinese Journal of Structural Chemistry 2012年第9期31卷 1329-1333页

作者： Aamer Saeed Shams-ul-Mahmood Ulrich Flörke Department of Chemistry Quaid-I-Azam UniversityIslamabad 45320Pakistan Department Chemie Fakultät fur NaturwissenschaftenUniversität PaderbornWarburgerstrasse 100D-33098 PaderbornGermany

The title compound was synthesized from 3-（2-methylphenyl）-2-thioxo-2,3-dihy- droquinazolin-4（1H）-one （4） which was prepared from 2-methylaniline in two steps. The structure was supported by the spectroscopic data and unambiguously confirmed by single-crystal X-ray diffraction studies. It crystallizes in the orthorhombic space group Pbca with unit cell dimensions a = 6.687（4）, b = 24.788（16）, c = 30.453（19）  V = 5048（5） 3 and Z = 8.

关键词： quinazolinone acetohydrazide synthesis

Ion-bunch energy acoustic tracing by modulation of the depth-dose curve

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High Power Laser Science and Engineering 2023年第3期11卷 86-93页

作者： A.Praßelsperger F.Balling H.-P.Wieser K.Parodi J.Schreiber fakultät für Physik Ludwig-Maximilians-Universität MünchenGarchingGermany

Characterizing exact energy density distributions for laser-accelerated ion bunches in a medium is challenging due to very high beam intensities and the electro-magnetic pulse emitted in the laser-plasma ***-bunch energy acoustic tracing allows for reconstructing the spatial energy density from the ionoacoustic wave generated upon impact in *** have extended this approach to tracing ionoacoustic modulations of broad energy distributions by introducing thin foils in the water reservoir to shape the acoustic waves at distinct points along the depth-dose ***,we present first simulation studies of this new detector and reconstruction approach,which provides an online read-out of the deposited energy with depth within the centimeter range behind the ion source of state-of-the-art laser-plasma-based accelerators.

关键词： ion-bunch energy acoustic tracing ion detector ionoacoustics laser-ion acceleration

Synthesis, Structure and Quantum Mechanical Calculations of Methyl 2-(5-((Quinolin-8-yloxy)-methyl)-1,3,4-oxadiazol-2-ylthio)-acetate

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Chinese Journal of Structural Chemistry 2015年第6期34卷 858-870页

作者： AAMER SAEED FOUZIA PERVEEN NAEEM ABBAS SIDRA JAMAL ULRICH FL?RKE Department of Chemistry Quaid-I-Azam University Research Center for Modeling and Simulations National University of Sciences and Technology H-12 Campus Department Chemie Fakult?t fur Naturwissenschaften Universit?t Paderborn

The title compound was synthesized by the base catalyzed reaction of 5-（（quinolin- 8-yloxy）methyl）-1,3,4-oxadiazole-2（3H）-thione with methyl chloroacetate. The structure was supported by the spectroscopic data and unambiguously confirmed by single-crystal X-ray diffraction studies. It crystallizes from a methanol solution in the triclinic space group Pi with unit cell dimensions a = 7.4509（9）, b = 10.2389（12）, c = 12.2299（15）A, a = 74.771（2）, β = 77.956（2）, 7 = 69.263（2）°, V = 834.98（17） A3 and Z = 2. In order to gain some valuable insights into the molecular structure, the quantum mechanical calculations were performed using both HF and time-dependent density functional theory at the B3LYP/6-31G（d,p） level. The molecular geometry from X-ray determination of the title compound in the ground state has been compared using the Hartree-Fock （HF） and density functional theory （DFT） with the 6-31G（d） basis set. The calculated results show that the DFT and HF can well reproduce the structure of the title compound. The energetic behavior of the title compound was examined using the B3LYP method with the 6-31G（d） basis set. The harmonic vibrational frequencies calculated have been compared with the experimental FTIR and FT-Raman spectra. The restricted Hartree-Fock and density functional theory-based nuclear magnetic resonance （NMR） calculation procedure was also performed, and it was used for assigning the 13C and 1H NMR chemical shifts of the title compound. Moreover, molecular electrostatic potential and thermodynamic parameters of the title compound were investigated by theoretical calculations.

关键词： methyl 2-(5-((quinolin-8-yloxy)methyl)-1,3,4-oxadiazol-2-ylthio)acetate crystalstructure conformer quantum chemical calculations vibrational studies