Abstract:
In the title chalcone derivative, C20H22O6, the dihedral angle between the mean planes of the benzene rings is 15.77 (6)°. The H atoms of the central C=C double bond are in a trans configuration. There are a number of C—H...O interactions and a C—H...π interaction present in the crystal structure.

Abstract:
摘 要： 以2011―2016年我国信息技术业、房地产业、制造业三大行业上市公司为研究对象，构建面板数据，结合智力资本VAIC模型，探讨了知识密集型行业与非知识密集型行业智力资本及其要素与企业价值的作用关系，并首次对智力资本VAIC模型中的价值增值部分进行分解。研究发现：与预期不同，信息技术业智力资本与企业价值并不存在显著相关性；房地产业、制造业人力资本与企业价值显著相关，信息技术业人力资本与企业价值相关性不显著；信息技术业、制造业结构资本与企业价值显著正相关，但房地产业结构资本却对企业价值创造产生了阻碍作用；房地产业关系资本与企业价值显著相关，信息技术业与制造业关系资本均对企业价值形成存在毁损效应。 Abstract: The present essay discusses the relationship between the intellectual capital and the value of the enterprise in the knowledge-intensive industry and the non-knowledge-intensive industry, and constructs the panel data from 2011 to 2016 based on intellectual capital VAIC model, with listed companies in information technology, real estate and manufacturing industry as the sample companies. And for the first time, the value-added part of the intellectual capital VAIC model is decomposed. Conclusions are made as follows. In the information technology industry, there is no remarkable correlation between the intellectual capital and the enterprise value, which is different from expectation. In real estate and manufacturing, human capital and enterprise value are remarkably related, but in information technology, there is no obvious relation between human capital and enterprise value. In information technology and manufacturing, structure capital and enterprises are positively related, but in real estate, structure capital has created a hindrance to enterprise value. And in real estate industry, relation capital and enterprise value are remarkably related, but in information technology and manufacturing industry, relation capital has a damaging effect on the formation of enterprise value

Abstract:
It has been shown by Claire Voisin in 2003 that one cannot always deform a compact K\"ahler manifold into a projective algebraic manifold, thereby answering negatively a question raised by Kodaira. In this article, we prove that under an additional semipositivity or seminegativity condition on the canonical bundle, the answer becomes positive, namely such a compact K\"ahler manifold can be approximated by deformations of projective manifolds.

Abstract:
Let $X$ be a compact K\"ahler manifold and let $(L, \varphi)$ be a pseudo-effective line bundle on $X$. We first define a notion of numerical dimension of pseudo-effective line bundles with singular metrics, and then discuss the properties of this type numerical dimension. We finally prove a very general Kawamata-Viehweg-Nadel type vanishing theorem on an arbitrary compact K\"ahler manifold.

Abstract:
Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex K\"ahler manifold with values in a line bundle endowed with a possibly singular metric. We also give some applications of our result.

Abstract:
In this paper, we study hole probabilities $P_{0,m}(r,N)$ of SU(m+1) Gaussian random polynomials of degree $N$ over a polydisc $(D(0,r))^m$. When $r\geq1$, we find asymptotic formulas and decay rate of $\log{P_{0,m}(r,N)}$. In dimension one, we also consider hole probabilities over some general open sets and compute asymptotic formulas for the generalized hole probabilities $P_{k,1}(r,N)$ over a disc $D(0,r)$.

Abstract:
We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we succeed in establishing some basic properties of fusible numbers. We suggest some possible approaches to the conjecture, and list further problems in the final chapter.

Abstract:
Let $(X, \omega_X)$ be a compact K\"ahler manifold such that the anticanonical bundle $-K_X$ is nef. We prove that the slopes of the Harder-Narasimhan filtration of the tangent bundle with respect to a polarization of the form $\omega_X^{n-1}$ are semi-positive. As an application, we give a characterization of rationally connected compact K\"ahler manifolds with nef anticanonical bundles. As another application, we give a simple proof of the surjectivity of the Albanese map.

Abstract:
Premet has conjectured that the nilpotent variety of any finite-dimensional restricted Lie algebra is an irreducible variety. In this paper, we prove this conjecture in the case of Hamiltonian Lie algebra. and show that its nilpotent variety is normal and a complete intersection. In addition, we generalize the Chevalley Restriction theorem to Hamiltonian Lie algebra. Accordingly, we give the generators of the invariant polynomial ring.