若干运算图的倍乘赋权Harary指标

ALIZADEH等近期提出了一个修正的Harary指标,即顶点对的贡献被赋予其度的乘积.其指标被称为倍乘赋权Harary指标,定义为H_M（G）=Σ_u≠v（δ_G（u）δ_G（v））（d_G（u,v））,其中,δ_G（u）表示顶点u在图G中的度,d_G（u,v）表示2个顶点u和v在图G中的距离.给出了张量积G×K_r,强积GK_r,圈积G₁oG₂的倍乘赋权Harary指标值的精确计算公式,这些公式与图的其他不变量（如倍加赋权Harary指标、Harary指标、第1类和第2类Zagreb指标、第1类和第2类反Zagreb指标）有关.此外,利用所得结果计算了开栅栏与闭栅栏的倍乘赋权Harary指标.     

基于产品质量控制的设备维修优化模型

根据产品质量和生产该产品的设备退化状态之间的相关性,设计了周期性设备检测与产品质量控制相结合的设备维修策略。该策略是在对设备进行周期性检测的基础上,利用控制图进行产品质量异常波动的检测,结合对设备退化状态的检测选择设备应采取的维修活动。根据这一设备维修策略,利用更新过程理论和统计过程控制方法,构建了基于产品质量控制的设备维修优化模型,并用遗传算法对其进行求解。通过实例仿真验证了该模型的可行性与有效性。     

基于NSGAII的协同产品开发项目自动协商决策

供应链环境下的协同产品开发项目中,核心企业与合作企业之间,需要对项目工期、预算和质量进行协商。科学高效的协商决策方法有助于协同产品开发项目参与各方实现双赢的协商目标。采用多Agent系统建立了协商问题的框架,构建了协商Agent以自身效用最大化和与对方建议相似度最大化为目标的多目标反建议模型;提出了基于NSGAII的自动协商决策算法,算法采用了正整数和小数混合的实数编码方式,并在遗传操作中增加了约束限制,剔除不可行个体。计算机仿真实验结果表明了算法对提高协商成功率和协商效果的有效性,说明了协商Agent可接受的最低效用值对于协商结果的影响。     

基于网络客户评论的产品口碑排序方法

电子商务时代,产品的网络口碑已成为消费者做购买决策的重要参考依据。本文利用客户评论信息,依据产品的评分及产品之间的对比投票数据,提出了一个新的产品口碑排序方法。首先利用产品两两间的对比投票计算各自的相对口碑,再采用贝叶斯平均方法修正原始客户评分,然后将二者结合得到产品的总口碑,进而对产品的网络口碑进行排序。实验数据采自第三方点评网站中的产品对比投票数据,实验结果表明本文提出的产品口碑排序方法具有较高的支持度,且与产品销量排序的相关性也很高。     

考虑品牌差异的双渠道供应链减排与低碳宣传策略

针对双渠道供应链低碳减排、低碳宣传与品牌策略问题,构建微分博弈模型,运用汉密尔顿-雅可比-贝尔曼方程分别求得集中决策和Stackelberg博弈下的低碳减排投入、低碳宣传投入和低碳宣传分担率。研究发现:集中决策情形下产品的减排量始终高于Stackelberg博弈情形下的减排量;产品品牌差异化程度与制造商所承担零售商低碳宣传成本的比例呈正相关;供应链成员的最优低碳宣传策略除了与品牌差异程度相关,还取决于供应链成员在不同渠道边际利润的相对大小;存在一个低碳宣传成本分担率能够实现制造商和零售商协调。并用数值算例验证了本文的相关结论。     

Grothendieck Property for the Symmetric Projective Tensor Product

For a Banach space $E$, we give sufficient conditions for the Grothendieck property of $⨶_{n,s,\pi}E$, the symmetric projective tensor product of $E.$ Moreover, if $E^∗$ has the bounded compact approximation property, then these sufficient conditions are also necessary.     

The Twin Domination Numb er of Strong Pro duct of Digraphs

Let γ*(D) denote the twin domination number of digraph D and let D_1  D_2 denote the strong product of D_1 and D_2. In this paper, we obtain that the twin domination number of strong product of two directed cycles of length at least 2.Furthermore, we give a lower bound of the twin domination number of strong product of two digraphs, and prove that the twin domination number of strong product of the complete digraph and any digraph D equals the twin domination number of D.     

槲皮素作为荧光探针对氟离子的识别作用

槲皮素为天然黄酮类化合物,广泛存在于植物的根、茎、叶、花和果实中。槲皮素作为荧光探针检测氟离子不仅具有较好的选择性和灵敏度,而且与合成的荧光探针比,还具有来源广、环保、无毒等优点。实验将不同阴离子(F-,Cl-,Br-,I-,ClO-₄,H₂PO-₄)分别加入到槲皮素的二甲基亚砜(DMSO)溶液中,考查槲皮素溶液的荧光强度变化。实验发现当加入氟离子后,槲皮素在500 nm处的荧光发射峰的强度降低,发生荧光猝灭,且其猝灭程度随着氟离子浓度的增大而改变,即荧光强度随着氟离子浓度的增大而减小,并呈线性变化。而其他阴离子的加入对槲皮素和槲皮素-氟离子体系的荧光发射强度影响不大,说明其他阴离子不影响槲皮素对氟离子的识别,显示了槲皮素对氟离子具有较好的选择性。由荧光滴定光谱和荧光滴定曲线得到槲皮素对氟离子的滴定方程为：y=-13.36x+173.4,线性关系为R2=0.991,线性范围为1.0×10-6～8.0×10-6 mol·L-1,最低检测限为1.0×10-7 mol·L-1,表明槲皮素对氟离子的识别具有较高的灵敏度。进一步实验表明槲皮素识别氟离子的机理可能是氟离子的加入破坏了溶液体系的氢键,改变了槲皮素分子的共轭状态,发生分子内电荷转移,促使槲皮素荧光猝灭。用该法成功检测了样品中微量氟离子,回收率为100.67%～102.44%,精确度较好,测定结果稳定。     

Lyciumaside and Lyciumate: A New Diacylglycoside and Sesquiterpene Lactone from Lycium shawii

One new diacylglycoside named lyciumaside ( 1 ) and a new sesquiterpene lactone named lyciumate ( 2 ) were isolated from Lycium shawii Roem . & Schult . The structures of the two new compounds were elucidated based on 1D‐ (¹H‐ and ¹³C‐NMR and NOE) and 2D‐NMR (COSY, HSQC, and HMBC) spectroscopic techniques, and mass spectrometry (ESI‐MS). Preliminary evaluations demonstrated lyciumaside ( 1 ) possesses strong antioxidant activity with an IC₅₀ = 30 μg/ml (80% inhibition) while it was inactive in α‐glucosidase and urease enzymes assays.     

Full–dimensional quantum molecular dynamics calculations of the rovibrationally mediated X → 2 transition of nitrous oxide

A full dimensional time‐dependent quantum wavepacket approach is used to study the photodissociation dynamics of nitrous oxide for the X → 2 bound–bound transition based on new highly accurate potential energy and transition dipole moment surfaces. The computed 2 absorption spectra at room temperature are characterized by sharp vibrational structures that contribute slightly to the diffuse vibrational structures around the maximum peak at 180 nm of the first ultraviolet absorption band (from the contribution of 2 , 1 , and 2 states) of N₂O. Transitions from different initial rovibrational states reveal that the sharp structures arise mainly from N₂? O bending vibrations, whereas, at higher temperatures, the N₂? O and N? NO stretching vibrations are responsible for enhancing the intensity of the structures. At absorption wavelengths 166 nm and 179 nm, vibrational quantum state distributions of N₂ product fragments decrease monotonically with increasing vibrational quantum number v = 0, 1, 2. At 166 nm, rotational quantum state distributions of N₂ at fixed v = 0 and v = 1 display multimodal profiles with maximum peaks at j = 77 and j = 75, respectively, whereas, the distributions at the 179 nm absorption wavelength display bimodal profiles with maximum peaks at j = 73 and j = 71, respectively. Accordingly, the presence of rotationally hot N₂ from previous experimental and theoretical works in the first band strongly implies a significant influence of the 2 state in determining the final dissociation pathway of N₂ + O. © 2016 Wiley Periodicals, Inc.