270 research outputs found

    Zui hou yi dai.

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    陳冰夷譯.原書名: Poslednie.Chen Bingyi yi.Yuan shu ming: Poslednie

    sj-pdf-1-dhj-10.1177_20552076231160323 - Supplemental material for A new model for predicting the occurrence of polycystic ovary syndrome: Based on data of tongue and pulse

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    Supplemental material, sj-pdf-1-dhj-10.1177_20552076231160323 for A new model for predicting the occurrence of polycystic ovary syndrome: Based on data of tongue and pulse by Weiying Wang, Weiwei Zeng, Shunli He, Yulin Shi, Xinmin Chen, Liping Tu, Bingyi Yang, Jiatuo Xu and Xiuqi Yin in Digital Health</p

    Boundedness of klt complements on Fano fibrations over surfaces

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    Let (X,B)(X,B) be an ϵ\epsilon-lc pair of dimension dd with a closed point xXx\in X. Birkar conjectured that there is an effective Cartier divisor HH passing through xx such that (X,B+tH)(X,B+tH) is lc near xx, where tt is a positive real number depending only on d,ϵd,\epsilon. We prove that Birkar's conjecture is equivalent to Shokurov's conjecture on boundedness of klt complements on Fano fibrations and we confirm Birkar's conjecture in dimension 2. As a corollary, we prove the boundedness of klt complements on Fano fibrations over surfaces.Comment: Version 2, showed that Shokurov's conjecture implies Birkar's conjecture, so they are equivalent (see Theorem 1.6). Version 3, added Example 1.10 to indicate that the order O(\epsilon^2) in Theorem 1.7 is optimal. arXiv admin note: text overlap with arXiv:1811.10709 by other author

    The literary and translatory perception of A. N. Ostrovsky’s play "Without a dowry" in China

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    The article is devoted to the reception of one of the most famous plays of A. N. Ostrovsky in China – “Without a Dowry”. The play belongs to the late period of the playwright's work and is characterised by a complex genre. In Russian literary studies it is considered as a socio-psychological drama with a bright lyrical beginning. The aim of the article is to give an idea of the translation, literary and literary perception of the play in China. The author of four versions of the play's translation into Chinese, Chen Bingyi, analyses the peculiarities of the play's translation. It reveals the main aspects of literary research on the play in China and examines the particular understanding of “Without a Dowry” by the playwright and translator Chen Baichen. By comparing the plots of A.N. Ostrovsky's drama and Chen Baichen’s drama “Love on a Steep Cliff”, the article highlights the influence of the character Katerina from the famous play “The Storm” on the interpretation of the female protagonist and the genre characteristics of “Without a Dowry”. The analysis demonstrates that Chinese translators, literary critics, and playwrights collectively perceive this psychological drama by Ostrovsky as a social drama within the historical and cultural context of 1940s China

    Singularities on vertical εε-log canonical Fano fibrations

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    Given a Fano type log Calabi-Yau fibration (X,B)Z(X,B)\to Z with (X,B)(X,B) being εε-lc, the first author in \cite{Bi23} proved that the generalised pair (Z,BZ+MZ)(Z,B_Z+M_Z) given by the canonical bundle formula is generalised δδ-lc where δ>0δ>0 depends only on εε and dimXdimZ\dim X-\dim Z, which confirmed a conjecture of Shokurov. In this paper, we prove the above result under a weaker assumption. Instead of requiring (X,B)(X,B) to be εε-lc, we assume that (X,B)(X,B) is εε-lc vertically over ZZ, that is, the log discrepancy of EE with respect to (X,B)(X,B) is ε\geq ε for any prime divisor EE over XX whose center on XX is vertical over ZZ.11 pages, comments welcom

    The impact of audit quality on the pricing of fair value estimates in the banking industry

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    In recent years, the Public Company Accounting Oversight Board’s (PCAOB) inspections have frequently reported audit deficiencies related to fair value measurements. Motivated by PCAOB’s concern, this paper examines investors’ perceptions on audit quality of fair value measurements. Using a sample of U.S. public banks from 2008 through 2013, I document a significant positive (negative) association between stock prices (bid-ask spreads) and audit quality of fair value measurements. This finding indicates that audit quality adds incremental value to investors as it mitigates reliability concerns relating to fair value estimates. Furthermore, using the fair value hierarchy mandated by Statement of Financial Accounting Standards (FAS) 157, I find the audit quality effect is stronger for Level 3 fair value estimates; suggesting high audit quality mitigates the reliability concerns relating to the substantial estimation uncertainties and management bias inherent in the more opaque Level 3 financial assets. Additional cross-sectional evidence shows that the effect of audit quality on the pricing of fair value estimates is greater for smaller banks and banks with a declining regulatory capital

    Explicit bound for singularities on toric fibrations

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    It was conjectured by McKernan and Shokurov that for any Fano contraction f:XZf:X \to Z of relative dimension rr with XX being ϵ\epsilon-lc, there is a positive δ\delta depending only on r,ϵr,\epsilon such that ZZ is δ\delta-lc and the multiplicity of the fiber of ff over a codimension one point of ZZ is bounded above by 1/δ1/\delta. Recently, this conjecture was confirmed by Birkar. In this paper, we give an explicit value for δ\delta in terms of ϵ,r\epsilon,r in the toric case, which belongs to O(ϵ2r)O(\epsilon^{2^r}) as ϵ0\epsilon \to 0. When r=2r=2, the order O(ϵ4)O(\epsilon^4) is optimal by an example given by Alexeev and Borisov.Comment: 15 pages, comments welcom

    Optimal bound for singularities on Fano type fibrations of relative dimension one

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    Let π:XZπ:X\rightarrow Z be a Fano type fibration with dimXdimZ=d\dim X-\dim Z=d and let (X,B)(X,B) be an εε-lc pair with K_X+B\sim_{\RR} 0/Z. The canonical bundle formula gives (Z,BZ+MZ)(Z,B_Z+M_Z) where BZB_Z is the discriminant divisor and MZM_Z is the moduli divisor which is determined up to \RR-linear equivalence. Shokurov conjectured that one can choose MZ0M_Z\geq 0 such that (Z,BZ+MZ)(Z,B_Z+M_Z) is δδ-lc where δδ only depends on d,εd,ε. Very recently, this conjecture was proved by Birkar \cite{Bir23}. For d=1d=1 and ε=1ε=1, Han, Jiang and Luo \cite{HJL22} gave the optimal value of δ=1/2δ=1/2. In this paper, we give the optimal value of δδ for d=1d=1 and arbitrary 0<ε10<ε\leq 1.Improve the bound in the main result (Theorem 1.4) to be optima

    Upper bound of discrepancies of divisors computing minimal log discrepancies on surfaces

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    Fix a subset IR>0I\subseteq \mathbb R_{>0} such that γ=inf{inibi1>0niZ0,biI}>0\gamma=\inf\{ \sum_{i}n_ib_i-1>0 \mid n_i\in \mathbb Z_{\geq 0}, b_i\in I \}>0. We give a explicit upper bound (γ)O(1/γ2)\ell(\gamma)\in O(1/\gamma^2) as γ0\gamma\to 0, such that for any smooth surface AA of arbitrary characteristic with a closed point 0 and an R\mathbb R-ideal a\mathfrak{a} with exponents in II, there always exists a prime divisor EE over AA computing the minimal log discrepancy of (A,a)(A,\mathfrak{a}) at 0 and with its log discrepancy kE+1(γ)k_E+1\leq \ell(\gamma). Some examples indicate that our bound is optimal.Comment: Fix some typos, 14 page
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