关于3x + 1 猜想的一些递推关系

用Ｎ表示自然数集，Ｊ表示３ｘ＋１运算，Ｈ＝｛ｎ∈Ｎ：有ｋ∈Ｎ是Ｊ＾ｋ（ｎ）＝１｝。猜想Ｈ＝Ｎ便是所谓３ｘ＋１问题。本文关于这一问题给出了几个递推关系。     

V2O5和Li2CO3共掺杂对Mg4Nb2O9陶瓷烧结行为及微波介电性能的影响

采用固相法，制备了Mg4Nb2O9（MN）微波介质陶瓷，研究了V2O5和Li2CO3共掺杂对MgaNb2O9陶瓷烧结行为、相结构、显微结构和微波介电性能的影响．结果表明，采用1．5％V2O5和1．5％Li2CO3共掺杂，能够将Mg4Nb2O9（135O℃）陶瓷的烧结温度降至925℃，且有助于Mg4Nb2O9单相的形成．3．0％（V2O5，Li2CO3）共掺杂样品在925℃空气中烧结5h可获得良好的微波介电性能（介电常数为13．7，品质因数为77975GHz）．     

无界域上p(x)-Laplace方程解的存在性

建立了从广义Sobolev空间的一个闭子空间到广义Lebesgue空间的一个紧嵌入,并利用临界点理论研究了无界域上p(x)-Laplace方程解的存在性.特别获得了无界域上p(x)-Laplace方程无限多解的存在性.     

1-三氟甲基-β-咔啉-3-羧酸正丁酯的晶体结构研究

通过核磁共振氢谱等对1-三氟甲基-β-咔啉-3-羧酸正丁酯的结构进行表征, 利用单晶X射线衍射法测定其结构.该晶体属单斜晶系,空间群为P21/c, 晶体学参数为:a= 0.81231(4)nm,b = 1.71197(8)nm, c = 1.16388(6)nm; α=90°, β= 93.615(2)°, γ=90°; Z=4, F(000)=696,R1=0.1756.     

|f(x)|不定积分的一种求法

用符号函数和 f(x)的原函数表达 | f(x) |的不定积分 .     

基于VC++的网络视频会议之远程教学系统

介绍基于VC 纯软件的网络视频会议之远程教学系统，系统利用流媒体及MPEG—4等先进技术，实现了点对点单路及8 1多路音视频实时传输，并详细说明了系统底层编码／解码及传输的实现和程序结构。     

二氰胺基和4,5-二氮芴-9-酮的铜、钴和镍配合物的合成及光谱研究

合成了三个二氰胺基[N(CN)2]-及4,5-二氮芴-9-酮(AFO)配合物Cu(AFO)2[N(CN)2]2·H2O(1)、Co(AFO)[N(CN)2]2·1/2H2O(2)和Ni(AFO)[N(CN)2]2·1/2H2O(3),确定了其组成,进行了红外光谱研究.     

Cpf1 和 Cas9核酸酶靶向EGFR-L858R突变的研究

表皮生长因子受体(EGFR)单核苷酸突变(2573TG,L858R)占所有EGFR突变的90%.使突变的EGFR失活对有此突变的病人非常有利.这里,应用双荧光报告分析的方法分析规律成簇间隔短回文重复(CRISPR)系统中Cpf1和Cas9在靶向EGFR-L858R突变的编辑效率.在EGFR-L858R突变位点的附近,有两个Cpf1前间区序列邻近基序(PAMs)——TTTN.并且,2573TG突变形成了一个Cas9的PAM——NGG.因此本文通过构建两条AsCpf1的gRNAs(gRNA1和gRNA2)和一条SpCas9的gRNA(gRNA3)在体外通过双荧光蛋白分析系统去评估SpCas9和AsCpf1特异性靶向等位基因的能力.结果证实了AsCpf1和SpCas9都能够特异性的编辑突变的EGFR(2573TG).     

微量镍元素添加对铁基非晶/纳米晶磁芯软磁性能的影响

用单辊法制备的宽20 mm,厚25μm的Fe_(73.5)Cu_1Nb_3Si_(13.5)B_9和Fe_(73.5)Ni_(0.3)Cu_1Nb_3Si_(14.2)B_8合金带材,绕制成外径为40 mm,内径为25 mm的环型磁芯,然后将磁芯在不同的温度下进行退火处理,研究了微量Ni元素添加对合金带材的晶化行为以及对横向磁场退火后的非晶/纳米晶磁芯的软磁性能的影响。结果表明:与Fe_(73.5)Cu_1Nb_3Si_(13.5)B_9合金带材相比,添加微量Ni元素的Fe_(73.5)Ni_(0.3)Cu_1Nb_3Si_(14.2)B_8合金带材的一级起始晶化温度Tx1和一级晶化峰温度Tp1降低,其二级起始晶化温度Tx2和二级晶化峰温度Tp2升高,两级起始晶化温度之间的差值ΔTx增大;与横向磁场退火后的Fe_(73.5)Cu_1Nb_3Si_(13.5)B_9非晶/纳米晶磁芯相比,横向磁场退火后的Fe_(73.5)Ni_(0.3)Cu_1Nb_3Si_(14.2)B_8非晶/纳米晶磁芯的起始磁导率μi和饱和磁感应强度Bs减小,矫顽力Hc增大;当测试频率f和最大磁感应强度Bm不变时,有效幅值磁导率μa增大,比总损耗Ps和矫顽力Hc减小;当测试频率f不变时,电感Ls和品质因数Q增大;当励磁电流I不变时,感应电动势E大。     

DanHong Injection inhibits the development of primary abdominal aortic aneurysms in apoE knockout mice

Clinical observations indicate that DanHong Injection （DHI） can increase blood flow and reduce various syndromes in patients with cardiovascular disease. How- ever, it still needs to define the function of DHI and the involved mechanisms in details, such as the protective effect on the development of primary abdominal aortic aneurysms （AAAs）. In this study, we determined whether DHI is able to inhibit AAA in apoE knockout （apoE-/-） mice. Thirty apoE-/- male mice on high-fat diet （0.5 % cholesterol, 21% fat） were randomly divided into two groups and received i.p. injection of saline （100 μL/day） and DHI （100 μL/day）, respectively, for 16 weeks. At the end of experiment, we determined the development of atherosclerosis in en face aorta and aneurysms,pathological morphology of arterial wall, and serum lipid levels. We also determined the expression of monocyte chemoattractant protein-1 （MCP-1）, MMP-2, and MMP-9 mRNA in aortic wall using real-time RT-PCR. Our results indicated that high-fat diet induced the development of AAAs in apoE-/- mice, but the induction was totally blocked by DHI （P 〈 0.01）. The result of staining of abdominal aortic cross sections showed that DHI main- tained the collagen content in arterial wall, thereby pre- venting the animals from the development of AAA. Although DHI had little effect on serum total- and LDL- cholesterol levels, it reduced the expression of MCP-1, MMP-2, and MMP-9 mRNA in aortic wall （P 〈 0.01）. Taken together, our study suggests that DHI can inhibit the high-fat diet-induced AAA formation. The inhibitory effects may be related to the maintenance of the collagen content and inhibition of expression of AAA-related genes. Our study may suggest a new application of DHI in clinics.