王少剑：现金为王

对于中国的任何一家房地产企业而言,整个2009年的市场可以用冰火两重天来形容。作为一家一直处于舆论风口浪尖上的房地产企业——SOHO中国的CFO,王少剑说同样感受到了这种犹如过山车般的经历。     

资金存量之过

由于担心欧元区崩溃、石油价格上涨和其他的潜在威胁,世界各地的公司都紧握高额现金。只要政府不决定对它们蓄意征税,那么巨额的现金储备会刺激全球经济的复苏。手握巨额现金的公司,必须开始担忧了。一方面政府和家庭对资金流动性越来越感到压力,另一方面英国和其他国家的大公司应该觉得相当的宽裕。汤姆森·路透的数据显示,英国FTSE100公司所拥有的现金和短期投资总计达1300亿英镑。英国安永统计俱乐部（Ernst＆YoungITEMClub）指出,从英国经济整体来看这个数据甚至更大。非金融公司增持了7500亿英镑的货币和银行存款,占英国国内生产总值的一半。     

“现金为王”的科学

无论是“现金如血”还是“现金为王”,管理者要想对企业发展前景规划合理、完善,并想最大限度地增加企业价值,对钱的问题就不能漠视。在这个人人“缺钱”的时代,CFO们应如何从企业经营、投资、筹资及整体运营的角度去重新审视资金管理？如何根据企业的需求,寻找最“合适”的资金管理模式,扬长避短,让企业走得更远？为此,《新理财》记者采访了北京九恒星科技股份有限公司董事长兼总经理解洪波。     

King type modification of q-Bernstein-Schurer operators

Very recently the q-Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve x ² (2003), in this paper we modify q-Bernstein-Schurer operators to King type modification of q-Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions x ² and study the approximation properties of these operators. We establish a convergence theorem of Korovkin type. We also get some estimations for the rate of convergence of these operators by using modulus of continuity. Furthermore, we give a Voronovskaja-type asymptotic formula for these operators.     

Watching Systems in the King Grid

We consider the infinite King grid where we investigate properties of watching systems, an extension of the notion of identifying code recently introduced by Auger et al. (Discret. Appl. Math., 2011). The latter were extensively studied in the infinite King grid and we compare our results with those holding for (r, ≤?)-identifying codes. We prove that for r = 1 and ? = 1, the minimal density of an identifying code, known to be ${\frac{2}{9},}$ also holds for watching systems; however, when r is large we give an asymptotic equivalence of the optimal density of watching systems which is much better than identifying codes’. Turning to the case r = 1 and ? ≥ 1, we prove that in a certain sense when ? ≥ 6 the best watching systems in the infinite King grid are trivial, but that this is not the case when ? ≤ 4.     

Codes for Identification in the King Lattice

Let G=(V, E) be an undirected graph and C a subset of vertices. If the sets B _r (F)C are distinct for all subsets FV with at most k elements, then C is called an (r,k)-identifying code in G. Here B _r (F) denotes the set of all vertices that are within distance r from at least one vertex in F. We consider the two-dimensional square lattice with diagonals (the king lattice). We show that the optimal density of an (r,2)-identifying code is 1/4 for all r3. For r=1,2, we give constructions with densities 3/7 and 3/10, and we prove the lower bounds 9/22 and 31/120, respectively. The research of the authors was supported by the Academy of Finland under grants 44002 and 46186     

“齐王赛马＂的Nash谈判解

“齐王赛马”是一个典型的对策论例子,本文运用对策论相关知识,求出了“齐王赛马”的Nash谈判解．同时得出结论：齐王和田忌的期望收益正好与问题的Nash谈判解一致．     

Optimal t-Edge-Robust r-Identifying Codes in the King Lattice

Locating faulty processors in a multiprocessor system gives a motivation for identifying codes. The concept of a t-edge-robust r-identifying code was introduced in [8]. We consider these codes in the king lattice and give several optimal densities. Research supported by the Academy of Finland under grants 207303 and 111940.     

On the conjecture of King for smooth toric Deligne-Mumford stacks

We construct full strong exceptional collections of line bundles on smooth toric Fano Deligne-Mumford stacks of Picard number at most two and of any Picard number in dimension two. It is hoped that the approach of this paper will eventually lead to the proof of the existence of such collections on all smooth toric nef-Fano Deligne-Mumford stacks.     

Date identification of the Zhouji materials during the period of King Xin

By identifying the dates of the Zhouji materials (one kind of oracle bone) during the period of King Xin (also called Zhou the last monarch in Shang Dynasty), this paper establishes a new “Direct Solving Method” (DSM) to solve the chronology problems in the Shang and Zhou dynasties. The mathematical models are more suitable for those materials with the Ganzhi (the Heavenly Stems and Earthly Branches, the Chinese ancient date recorded method being of the 60-day cycle, that the repetitive cycle is independent of any astronomical parameter, each day within this cycle has its own name and can also be expressed by the numbers from 1 to 60) record of the date, lunar month, and their year intervals and all of them are in history documents, oracle bones and bronze vessels. For example, taking the 12 Zhouji materials in the period of King Xin, we derive the two best results of the first year when Xin assumed the reins of government in probably 1063 BC or 1052 BC.     

一类时滞Logistic方程周期解的存在性

We consider the existence of single and multiple positive periodic solutions for the general periodic Logistic equation