Kantorovich不等式的再拓广

本文对Kantorovich不等式的推广再行拓广,扩大了它的适用范围,并给出了相应的下界。     

Lower Cambrian small shelly faunas from Zhejiang (China)and their biostratigraphical implications

Despite a long history of research on the Early Cambrian in China most available data on small skeletal fossils concern fossil associations of the shallow carbonate platform. Information on skeletal fossils from marginal shelf environments of the Yangtze Platform is scanty, which may reflect the rarity of fossils in deeper sedimentary environments but is also due to limitation of carbonate distribution and outcrops, difficulties in fossil extraction, and a general research focus on the Precambrian-Cambrian boundary beds on the carbonate platform. Here we present a documentation of Meishucunian to Qiongzhusian small skeletal fossils from the lower Hetang Formation and the chert unit at its base from the Jiangshan region, Zhejiang Province, representing a relatively deep shelf environment compared to the inner shelf region. The earliest association (Meishucunian) from the chert unit underlying the Hetang Formation is mainly characterized by the occurrence of Protohertzina anabarica, P. unguliformis, Fengzuella zhejiangensis, and Kaiyangites novilis, which differs somewhat in composition from SSF-associations of typical inner shelf deposits. The enigmatic skeletal fossil Fengzuella zhejiangensis, which exhibits an unusual secretional growth mode previously unrecognized from the Early Cambrian, is described in detail. A younger (Qiongzhusian) fossil association contains numerous arthropod remains, such as disarticulated spines of arthropods (Jiangshanodus- and Kijacus-type), which have previously been considered as conodont-like fossils, and bradoriid valves.     

A venomous arthropod in the Early Cambrian Sea

A number of recently evolved animals possess poison glands for feeding and/or defense.However,examples of such animals are rare in the fossil record.We report a fossil arthropod Isoxys curvirostratus from the Early Cambrian Chengjiang biota of China.This species is regarded as the oldest known venomous arthropod based on the presence of venomous glands in its head region.The adult animal is 2-5 cm long and the body is covered entirely with a carapace.The presence of large stalk eyes and a pair of stout grasping appendages with a terminal spine suggest it was raptorial.Interestingly,the two pear-shaped,three-dimensionally preserved objects that are present in the head region and at the base of the grasping appendages closely resemble the venom glands of some living arthropods in size,shape,and position.These features indicate that the presence of venomous predators could date back 520 million years.Furthermore,our observations suggest that the feeding strategies and organs adapted for this purpose had already reached a high level of diversity and anatomical sophistication in the Early Cambrian ecosystems.     

Bathynotus: A key trilobite taxon for global stratigraphic boundary correlation between Cambrian Series 2 and Cambrian Series 3

The Cambrian trilobite Bathynotus is a special morphology of Redlichiid,which is characterized by a wider thorax axis and an 11th macropleural segment bearing a long,backwardly directed spine.Additionally,its 12th and 13th pleural segments are narrow and they terminate at a fulcrum where they fuse together and to the posterior edge of the long macropleural spine.The genus is widely distributed,occurring in North America,Siberia,the Altay-Sayan fold belt of Russia,South China,the Tarim Basin of China,and Australia.It occurs primarily in deposits of the upper part of the continental slope,at the transition between stable platform settings and subsiding margins of the late Early Cambrian.Here,we recognize three species of Bathynotus from China,including B.holopygus which is widespread around the world.Although six species of Bathynotus have been reported from Siberia and the Altay-Sayan fold belt area of Russia,data presented here suggest that only three of these species are valid.Bathynotus exhibits a short geological range,with its first occurrence late in the unnamed Cambrian Series 2 and the last appearance datum of Bathynotus at the boundary of Cambrian Series 2 and Cambrian Series 3.The late appearance datum (LAD) of Bathynotus provides an important global stratigraphic marker of the boundary between Cambrian Series 2 and Cambrian Series 3.     

具广义边界条件的平板中子迁移方程解的渐近性质

引进上下解的概念，并利用其性质，讨论了平板几何上有一般反射边界条件的中子迁移方程解的渐近性质。     

含时滞的反映扩散方程的周期解和概周期解

本文将单调方法用于一类含时滞的反映扩散方程,证明了周期解和概周期解的存在性与唯一性。     

集值算子最小、最大拟不动点对的存在定理

讨论了可表示成两个算子积形式的集值算子最小，最大拟不动点对的存在性及其迭代逼近，改进了ＣｈａｎｇＳｈｉｓｈｅｎｇ（１９９１）文中已知的结果．     

δ~(13)C_(carb) and Ce_(anom) excursions in the post-glacial Neoproterozoic and Early Cambrian interval in Guizhou, South China

Inordertounderstand paleoceanographicre spondstotheevolutionofearlymetazoans ,δ13Ccarbvariationsinthepost glacialNeoproterozoicandtheEarlyCambrianhavebeeninvestigatedintheYangtzeplatform ,wheremajoreventsofearlymetazoansaremuchmorecompletelyrecordedcomparedtoelse whereintheworld[1～ 4 ] .Thefirstδ13Ccarb profilewasreportedbyLambertetal.[1] fromtheDoushan tuoandDengyingFormationsintheYangtzeGorges .But ,theirδ13Ccarb valuesfromtheDoushantuoFor mationarewidelyvariable ,mostlikelyduetoea…     

一般线性规划存在最优解的充分必要条件

本文证明了线性规划在可行域无界时存在最优解的充要条件是目标函数上有界.     

加拿大阿尔伯达西部泥盆系凯恩组的上浅旋回成因

加拿大阿尔伯达西部的上泥盆统凯恩组中上浅旋回沉积比较发育,每个旋回自下而上是由潮下带逐渐变为潮坪沉积而形成的。潮坪沉积为浅灰色粉晶白云岩,风化后至黄褐色,具水平纹理、泥裂和鸟眼等构造;潮下带沉积包括深灰色纹理细晶白云岩、虫迹细晶白云岩和层孔虫细晶白云岩,这些旋回发育于海侵初期,是在海平面上升速度基本不变的情况下,沉积速度变化而形成的。上浅旋回中的潮下带沉积和潮坪沉积的厚度可用来推测古水深和潮差。