The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group

The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.In this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex Heisenberg.We investigate quaternionic analysis on the generalized complex Heisenberg.We also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.

Discussion on the Complex Structure of Nilpotent Lie Groups Gk

Consider the real, simply-connected, connected, s-step nilpotent Lie group G endowed with a left-invariant, integrable almost complex structure J, which is nilpotent. Consider the simply-connected, connected nilpotent Lie group Gk, defined by the nilpotent Lie algebra g/ak, where g is the Lie algebra of G, and ak is an ideal of g. Then, J gives rise to an almost complex structure Jk on Gk. The main conclusion obtained is as follows: if the almost complex structure J of a nilpotent Lie group G is nilpotent, then J can give rise to a left-invariant integrable almost complex structure Jk on the nilpotent Lie group Gk, and Jk is also nilpotent.

Analysis of Channeling-Path Phenomena in a Complex Fault-Block Reservoir with Low Recovery Factor and High Water-Cut Ratio

Current methods for the analysis of channeling-path phenomena in reservoirs cannot account for the influence of time and space on the actual seepage behavior.In the present study,this problem is addressed considering actual production data and dynamic characteristic parameters quantitatively determined in the near wellbore area by fitting the water-cut curve of the well.Starting from the dynamic relationship between injection and production data,the average permeability is determined and used to obtain a real-time quantitative characterization of the seepage behavior of the channeling-path in the far wellbore area.For the considered case study(Jidong oilfield),it is found that the seepage capacity of the channeling-path in the far wellbore area is far less(10 times smaller)than that of the channeling-path in the near wellbore area.The present study and the proposed model(combining near wellbore area and far wellbore area real-time data)have been implemented to support the definition of relevant adjustment measures to ultimately improve oil recovery.

Lie Groups Actions on Non Orientable <i>n</i>-Dimensional Complex Manifolds

Analytic atlases on can be easily defined making it an n-dimensional complex manifold. Then with the help of bi-Möbius transformations in complex coordinates Abelian groups are constructed making this manifold a Lie group. Actions of Lie groups on differentiable manifolds are well known and serve different purposes. We have introduced in previous works actions of Lie groups on non orientable Klein surfaces. The purpose of this work is to extend those studies to non orientable n-dimensional complex manifolds. Such manifolds are obtained by factorizing with the two elements group of a fixed point free antianalytic involution of . Involutions h(z) of this kind are obtained linearly by composing special Möbius transformations of the planes with the mapping . A convenient partition of is performed which helps defining an internal operation on and finally actions of the previously defined Lie groups on the non orientable manifold are displayed.

Octa-membered Water Ring Chain Based on Sulfonic Group in Ni(II) Complex with 2-[(E)-(2-Oxidophenyl)methyleneamino] Ethanesulfonato and 2,2′-Bipyridinyl

The title compound, [Ni（tssb）（2,2-bipy）2].5（H2O） 1 （tssbH2 =2-[（E）-（2-oxido- phenyl）methyleneamino]ethanesulfonato, 2,2-bipy = 2,2＇-bipyridinyl）, belongs to orthorhombic, space group Pbcn with a = 20.3983（18）, b = 17.6929（15）, c = 17.0897（15） nm, V= 6167.8（9） nm^3, Mr= 688.38, Z = 8, De = 1.481 g.cm^-3, F（000） = 2880,μ = 0.758 mm-1 and S =1.099. Each NiIr atom is six-coordinated by one N and one O atoms from one tssb^2- anion and four N atoms from two 2,2-bipy ligands to give a distorted octahedral geometry. Noticeably, there exists a rare octa-mem- bered water ring which presents a 1D chain by sulfonic group.

A new understanding of Demala Group complex in Chayu Area, southeastern Qinghai- Tibet Plateau: Evidence from zircon U-Pb and mica ^(40)Ar/^(39)Ar dating

The Chayu area is located at the southeastern margin of the Qinghai-Tibet Plateau.This region was considered to be in the southeastward extension of the Lhasa Block,bounded by Nujiang suture zone in the north and Yarlung Zangbo suture zone in the south.The Demala Group complex,a set of high-grade metamorphic gneisses widely distributed in the Chayu area,is known as the Precambrian metamorphic basement of the Lhasa Block in the area.According to field-based investigations and microstructure analysis,the Demala Group complex is considered to mainly consist of banded biotite plagiogneisses,biotite quartzofeldspathic gneiss,granitic gneiss,amphibolite,mica schist,and quartz schist,with many leucogranite veins.The zircon U-Pb ages of two granitic gneiss samples are 205±1 Ma and 218±1 Ma,respectively,representing the ages of their protoliths.The zircons from two biotite plagiogneisses samples show core-rim structures.The U-Pb ages of the cores are mainly 644–446 Ma,1213–865 Ma,and 1780–1400 Ma,reflecting the age characteristics of clastic zircons during sedimentation of the original rocks.The U-Pb ages of the rims are from 203±2 Ma to 190±1 Ma,which represent the age of metamorphism.The zircon U-Pb ages of one sample taken from the leucogranite veins that cut through granitic gneiss foliation range from 24 Ma to 22 Ma,interpreted as the age of the anatexis in the Demala Group complex.Biotite and muscovite separates were selected from the granitic gneiss,banded gneiss,and leucogranite veins for 40Ar/39Ar dating.The plateau ages of three muscovite samples are 16.56±0.21 Ma,16.90±0.21 Ma,and 23.40±0.31 Ma,and the plateau ages of four biotite samples are 16.70±0.24 Ma,16.14±0.19 Ma,15.88±0.20 Ma,and 14.39±0.20 Ma.The mica Ar-Ar ages can reveal the exhumation and cooling history of the Demala Group complex.Combined with the previous research results of the Demala Group complex,the authors refer that the Demala Group complex should be a set of metamorphic complex.The complex includes not only Precambrian basement metamorphic rock series,but also Paleozoic sedimentary rock and Mesozoic granitic rock.Based on the deformation characteristics,the authors concluded that two stages of the metamorphism and deformation can be revealed in the Demala Group complex since the Mesozoic,namely Late Triassic-Early Jurassic(203–190 Ma)and Oligocene–Miocene(24–14 Ma).The early stage of metamorphism(ranging from 203–190 Ma)was related to the Late Triassic tectono-magmatism in the area.The anatexis and uplifting-exhumation of the later stage(24–14 Ma)were related to the shearing of the Jiali strike-slip fault zone.The Miocene structures are response to the large-scale southeastward escape of crustal materials and block rotation in Southeast Tibet after India-Eurasia collision.

Synthesis, Characterization and Biological Activity of Sodium Barbitone-Group-VIII Metals (viz. Ni(II), Pd(II) and Pt(II)) Complexes

This work aims to characterize, synthesize and evaluate the biological activity of sodium barbitone and their metal chelates Ni(II), Pd(II) and Pt(II). The new synthesized metal chelates are investigated by elemental analysis, IR, mass spectra, thermal analysis and biological activity. Square planer structure of the prepared complexes obtained from the result of analysis. The antibacterial and antifungal of sodium barbitone ligand and its conforming metal chelates were screened against bacterial species Gram positive (Staphylococcus aureus), Gram negative bacteria (Escherichia coli) and fungi Aspergillus flavus and Candida albicans fungi. Ampicillin and amphotericin were used as references for antibacterial and antifungal studies. The activity data show that the platinum group metals chelates have activity data show that some of the platinum group metals (viz. Pt(II) and Pd(II)) chelates have a promising biological activity comparing to sodium barbitone parent free ligand against bacterial and fungal species.

Discovery of Paleogene Sporopollen from the Matrix Strata of the Naij Tal Group-Complex in the Eastern Kunlun Orogenic Belt

The Naij Tai Group-complex is a suite of tectonic-sedimentary méiange aggregation of the Eastern Kunlun orogenic belt, which is composed of two parts, i.e. the exotic blocks of various ages and the matrix strata. On the basis of coral, brachiopod and gastropod fossils found in the exotic blocks, the age of this group-complex was once defined to the Late Ordovician or the Paleozoic. This paper reports for the first time 44 genera and 31 species of Mid-Late Oiigocene sporopoilen in samples from the matrix strata in this group-complex and the Paleogene Quercoidites-Persicarioipollis assemblage is named. The paper aims to provide some detailed evidence for determining the age of the matrix strata in this group-complex based upon a study at the Caiyuanzigou section, which would be of great geological significance for further understanding this group-complex as a suite of tectonic-sedimentary méiange aggregation. The new finding will certainly benefit from now on the investigation of formation and evolution mechanism for the Eastern Kunlun orogenic belt.

Synthesis of novel 1:2 Fe-complexed dye containing polyamine groups

A Fe-complexed dye containing crosslinkable polyamine groups was synthesized through diazotization and coupling reaction, chlorination, amination and metallization. The structure of the Fe-complexed crosslinking dye was characterized by FT-IR and Atomic Absorption Spectroscopic techniques. The dyeing and light fastness properties of the Fe-complex on silk and wool were tested, and the results showed that the novel Fe-complex exhibited both high fixation and good light fastness.

HOLOMORPHIC HARMONIC ANALYSIS ON COMPLEX REDUCTIVE GROUPS

The authors define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties such as the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of K-admissible measures. The authors prove that K-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of K-admissible measures.

Recognition of Group Activities Using Complex Wavelet Domain Based Cayley-Klein Metric Learning

A group activity recognition algorithm is proposed to improve the recognition accuracy in video surveillance by using complex wavelet domain based Cayley-Klein metric learning.Non-sampled dual-tree complex wavelet packet transform(NS-DTCWPT)is used to decompose the human images in videos into multi-scale and multi-resolution.An improved local binary pattern(ILBP)and an inner-distance shape context(IDSC)combined with bag-of-words model is adopted to extract the decomposed high and low frequency coefficient features.The extracted coefficient features of the training samples are used to optimize Cayley-Klein metric matrix by solving a nonlinear optimization problem.The group activities in videos are recognized by using the method of feature extraction and Cayley-Klein metric learning.Experimental results on behave video set,group activity video set,and self-built video set show that the proposed algorithm has higher recognition accuracy than the existing algorithms.

Contrastive Studies on Theories of Chinese Complex Sentences, Sentence Group and the SDRT

Theories of Chinese complex sentences and sentence groups refer to the research of complex sentences and sentence groups in modern Chinese. The SDRTrefers to a dynamic semantic theory of discourse interpretation proposed in 1990s by Asher.Through contrastive studies on theories of Chinese complex sentences,sentence groups and the SDRT,we find that they have much in common.

Determination of the early Paleozoic accretionary complex in Southwestern Yunnan, China: Implications for the tectonic evolution of the Proto-Tethys Ocean

Accretionary complex study provides important knowledge on the subduction and the geodynamic processes of the oceanic plate,which represents the ancient ocean basin extinction location.Nevertheless,there exist many disputes on the age,material source,and tectonic attribute of the Lancang Group,located in Southwest Yunnan,China.In this paper,the LA-ICP-MS detrital zircon U‒Pb chronology of nine metamorphic rocks in the Lancang Group was carried out.The U‒Pb ages of the three detrital zircons mainly range from 590-550 Ma,980-910 Ma,and 1150-1490 Ma,with the youngest detrital zircons having a peak age of about 560 Ma.The U‒Pb ages of the six detrital zircons mainly range from 440-460 Ma and 980-910 Ma,and the youngest detrital zircon has a peak age of about 445 Ma.In the Lancang Group,metamorphic acidic volcanic rocks,basic volcanic rocks,intermediate-acid intrusive rocks,and high-pressure metamorphic rocks are exposed in the form of tectonic lens in schist,rendering typical melange structural characteristics of“block+matrix”.Considering regional deformation and chronology,material composition characteristics,and the previous data,this study thinks the Lancang Group may be an early Paleozoic tectonic accretionary complex formed by the eastward subduction of the Changning-Menglian Proto-Tethys Ocean,which provides an important constraint for the Tethys evolution.

川西里伍岩群中石榴子石矿物化学特征及其对变质温度的限定

这是一篇地球科学领域的论文。为揭示江浪穹隆核部里伍岩群中石榴子石的矿物化学特征及其变质温度,本文选择了发育在不同位置的石榴子石矿物开展了主量、微量和稀土元素分析测试。结果表明,江浪穹隆片岩中的石榴子石端元组成主要为铁铝榴石(Alm),利用ICP-MS(平均含量85.82%)和LA-ICP-MS(平均含量83.51%)获得的铁铝榴石(Alm)含量在误差范围内基本一致;稀土元素(REE)总量较高,分配模式呈现明显的轻稀土亏损(LREE)、重稀土(HREE)富集的左倾分配模式,Eu异常不明显,负Ce异常显著;相对富集高场强元素(如U、Ta、Hf),亏损大离子亲石元素(如K、Sr、Ba)。另外,江浪穹隆片岩中利用石榴子石矿物获得的变质温度为512~583℃,形成的变质压力较低,且变质温度与至新火山花岗岩的距离呈负相关关系。综上,江浪穹隆经历了高绿片岩相的巴罗式变质作用。

吲哚基NCN钳型钛族金属配合物的合成及其催化苯乙烯聚合反应

以吲哚为骨架,在吲哚的1位、3位引入2条边臂基团得到了1,3-双取代吲哚基化合物,用丁基锂去质子后与MCl_(4)(M=Ti、Zr、Hf)反应,得到一系列NCN钳型钛、锆、铪金属配合物(3-Ti、3-Zr、3-Hf)。该系列配合物通过核磁、元素分析及单晶X射线衍射进行了表征。单晶结构显示,金属中心除与3个氯原子配位外,还与配体以κ^(3)_(NCN)的形式配位,形成六配位的八面体构型。考察了该类型配合物在不同助催化体系条件下催化苯乙烯聚合反应的性能。实验发现:在室温下,助催化剂为AlEt_(2)Cl/(Ph_(3)C)[B(C_(6)F_(5))_(4)],甲苯为溶剂,单体与催化剂在浓度比300∶1的条件下,不同金属中心配合物都能以高转化率得到聚苯乙烯,其中铪配合物的催化活性最高。催化所得的聚苯乙烯经表征发现均为无规结构,数均分子量为4 000~8 000。

极端工况下梯级水电枢纽群大坝连溃情景分析

为分析极端工况下梯级水电枢纽群可能出现的最大连溃灾难,提出了两种溃坝工况:一种针对土石坝或受损及病险的重力坝与拱坝,认为大坝漫顶即溃,且全溃;另一种针对正常运行的重力坝和拱坝情形,认为漫顶不溃,采用堰流公式计算下泄水量,并采用洪峰展平公式计算两种工况下溃坝洪水向下游的演进过程。以大渡河流域13座梯级水电枢纽群为例展开分析。结果表明:下游泸定、大岗山、瀑布沟大坝能够抵挡和削弱一部分上游溃坝洪水,是流域的控制性大坝;工况一(漫顶即溃)发生时的溃坝影响比工况二(漫顶不溃)发生时的影响更为恶劣,水量更大,持续时间更长,产生的峰顶流量更大;漫顶即溃时的下泄流量过程与库容、距离以及起溃水位有关,而漫顶不溃坝时,下泄流量过程与库容、起溃水位、坝型选择密切相关;“上小下大型”梯级电站布局和以重力坝、拱坝为主的坝型选择将有效降低梯级水电枢纽群发生大坝连溃的风险。研究成果可为梯级水电枢纽群大坝连溃风险分析提供理论支撑及技术参考。

灾害系统视角下的灾害耦合效应探讨

灾害耦合效应是灾害风险科学领域关注的焦点议题,与复杂灾害事件具有密切的联系。该文首先从词源角度阐述了“耦合”的内涵,提出了灾害耦合效应的概念,对比了灾害耦合与灾害叠加的差异,阐述了灾害耦合效应的整体性、有序性、动态性和目的性特征。其次从灾害系统的角度出发,分析了灾害系统结构体系和功能体系及演化过程与灾害耦合效应的联系,提出灾害耦合效应具有灾害形成要素耦合和灾害演化过程耦合,并探讨了两种耦合内在的特征及两者互动作用。再次从复杂灾害事件角度出发,探究了灾害群、灾害链和灾害遭遇与灾害耦合效应的关系,提出灾害演化过程耦合与灾害演化网络视角下的灾害链过程具有一致性,灾害形成要素的耦合与广义的灾害遭遇具有一致性。最后该文提出了加强灾害耦合效应研究与实践的关键点。

具有不同芳基取代的6种水杨醛亚胺基二氟化硼配合物力致荧光变色性能研究

为进一步探究影响分子力致荧光变色性能的因素,合成了6种具有不同芳基取代基团的水杨醛亚胺二氟化硼配合物1-6。结果表明,六种配合物都具有弱的分子内电荷转移过程,除配合物5外,其余五种配合物具有聚集诱导发光特性。进一步研究显示,在这一系列的配合物中,配合物6具有较好的力致荧光变色性能。量子化学计算结果显示,配合物的力致荧光变色行为受到分子空间效应和偶极矩的影响。

紧致齐性空间G/T上复结构的若干性质

设G为连通单连通s阶实幂零李群,且其上有左不变可积近复结构J,T为李群G的最大秩的格;考虑紧致齐性空间G/T上是否有幂零复结构;运用归纳法证明了复结构J可诱导出紧致齐性空间G/T的可积复结构J且是幂零的.

复杂地层深基坑井群降水综合控制方案优化分析

为控制工程物料成本及时间成本的投入,实现对复杂地层降水控制措施的合理化选择。以京安城际榆安1号隧道明挖段深基坑降水施工为背景,通过有限元模型分析和现场抽水试验相结合的方法,研究了止水帷幕插入深度、单井抽水速率及抽水时间对深基坑降水效果的影响。结果表明:基坑降水止水帷幕插入比控制在1∶0.9时,基坑降水效率及成本投入最优;抽水时间随单井抽水速率整体呈先快后慢的下降趋势,但增加到一定范围后趋势变缓、相关性减弱,单井最优抽水速率取125 m^(3)/d最优;抽水1~7 d天坑内地下水位降幅较大,达到最大降深的95.2%,以第7天的水位降深为标准进行降水方案设计最合理。可见科学的降水方案不仅有助于水资源保护,也关系到工程降水安全经济进行。