Jensen's inequality for a convex vector-valued function on an infinite-dimensional space

Jensen's inequality f(EX) ≤ Ef(X) for the expectation of a convex function of a random variable is extended to a generalized class of convex functions f whose domain and range are subsets of (possibly) infinite-dimensional linear topological spaces. Convexity of f is defined with respect to closed cone partial orderings, or more general binary relations, on the range of f. Two different methods of proof are given, one based on geometric properties of convex sets and the other based on the Strong Law of Large Numbers. Various conditions under which Jensen's inequality becomes strict are studied. The relation between Jensen's inequality and Fatou's Lemma is examined.     

Pricing decisions in a dual supply chain of organic and conventional agricultural products

Annals of Operations Research - We analyze a dual-channel supply chain comprising two suppliers that offer vertically-differentiated agricultural products; specifically, one offers an organic...     

INDUCTION OF Trichoderma SPORULATION BY NANOSECOND LASER PULSES: EVIDENCE AGAINST CRYPTOCHROME CYCLING

An important question in the study of photoreceptor action in morphogenesis is whether the chromophore is unidirectionally photobleached, or whether it is recycled, allowing each receptor molecule to be counted more than once. The common soil fungus Trichoderma harzianum grows vegetatively in the dark and sporulates in response to a pulse of blue or UV-A light. Colonies were grown at 26 degrees C, transferred to 3 degrees C, illuminated with non-saturating light, and then put back at 26 degrees C to sporulate. The fluence-response curves for photoinduction in the cold and at 26 degrees C were identical, indicating that there are no enzymatic transduction processes during irradiation. Regions of the perimeter of dark-grown colonies were given single pulses (maximum duration, 30 ns) at 355 nm with a neodymium laser. We obtained a complete fluence-response curve for the laser pulses, which agreed with data for irradiations in the second to minute range. Photoinduction at 3 degrees C, and validity of Bunsen-Roscoe reciprocity from nanoseconds to minutes, support the hypothesis that the inductive event is a simple first-order photobleaching reaction.     

西藏日食太阳辐射观测研究

日食现象会对地球太阳辐射、大气气象以及人类活动等造成相应的影响。2020年6月21日（夏至）在西藏发生了一次日食现象,西藏阿里日环食最大食分达到了0.995,拉萨地区日偏食食分也高达0.953。两地日食均发生在当地正午前后。本研究利用罕见的日食出现机会,对西藏阿里和拉萨日食过程中的太阳光谱、太阳总辐射和太阳紫外线变化特征进行了同步观测研究。观测表明阿里日环食在当地正午（北京时间14:41分）前后持续了约3小时27分钟;拉萨日食出现时间比阿里滞后约26 min,持续时间比阿里短3分28秒。实地观测表明在日食期间,阿里光谱观测中最强单色（476.6 nm）光峰值从初亏（13:01分）时刻的1 669.234 mW·m-2·nm-1陡然衰减到食甚（14:44分）时刻的61.936 mW·m-2·nm-1,损失约96.0%;相应时刻太阳总辐射强度从1 221.217 W·m-2衰减到56.086 W·m-2,也损失约95.4%。拉萨日食期间最强单色（476.6 nm）光峰值从初亏（13:27分）时刻的1 563.876 mW·m-2·nm-1亏损到食甚（15:13分）时刻的26.391 mW·m-2·nm-1,亏损约98.3%;相应时刻太阳总辐射强度从1 605.663 W·m-2衰减到28.169 W·m-2,也亏损约98.2%。观测研究发现拉萨太阳紫外线B剂量率从初亏的60.8 W·m-2减弱到食甚的0.9 W·m-2值,减弱了98.5%。该次日食对西藏地面各种太阳辐射强度造成95%以上能量损失。     

Application of the EXAFS method to Jahn—Teller ions: static and dynamic behavior of Cu(H2O)62+ and Ci(H2O)2+6 in aqueous solution

EXAFS measurements have been made on the octahedral Jahn—Teller complexes, Cu(H₂O)₆²⁺ and Cr(H₂O)₆²⁺, in aqueous solution. Two distinct metal—oxygen bond lengths are not clearly resolvable in the EXAFS Fourier transforms for each species; lengths and Deuye—Waller factors obtained suggest that the axial ligands are loosely bonded.     

Untersuchung von Eiern und Eiprodukten

Ohne Zusammenfassung     

New magnetically responsive polydicarbazole-magnetite nanoparticles

Magnetically responsive COOH-polydicarbazole-magnetite nanocomposites have been prepared by chemical oxidation of three COOH-dicarbazole monomers and - in the presence of magnetite nanoparticles. These functionalized nanoparticles have been tested for DNA hybridization experiments.     

关于Orlicz凸体的收敛性的注(英文)

本文研究了Orlicz投影体和Orlicz质心体的性质.利用几何分析的方法,获得了Orlicz投影算子和Orlicz质心算子的连续性.     

基于核优化密度聚类的绿色苹果分割算法

苹果的可见光谱目标的高效、精准识别是实现果园测产或机器自动采摘作业的关键,由于绿色目标果实与枝叶背景颜色较为相近,因此绿色苹果的识别成为新的挑战.再由于果园实际复杂环境因素影响,如光照、阴雨、枝叶遮挡、目标重叠等情况,现有的目标果实识别方案难以满足测产或自动采摘的实时、精准作业需求.为更好地实现果园自然环境中绿色目标果...