查询词典 R.R.

This is based on the definition of tensor product over R���= R〓 R〓, where R is a noncommutative ring.

这是建立在〓上的张量积，其中R是非交换环。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Isolates CNR-1 and CNR-2 were from Brassica napus; CNA-1and CRW-1 from Rhododendron simsii and Oxalis corymbosa respectively. All isolates grew well in R-2 liquid medium and exhibited contractive movements. The colonies of all isolates were circinal and grain-like in solid medium. Through electron microscopy, all isolates exhibited helicity during their growth phase. All isolates could pass through a 0.22 μm filtrate membrane and resist to penicillin (2000 U/mL). They must grow in medium with serum.

这4株螺原体在R-2液体培养基中生长良好，都能通过孔径为0.22 mm的微孔滤膜；在R-2固体培养基上呈圆形或颗粒状菌落，菌落直径约50~600 mm；在生长的某个阶段可呈典型的螺旋状，菌体直径为37.04~370.40 nm，长度约0.89~11.88 mm；它们都能利用葡萄糖作为碳源，不能利用尿素；在不含胎牛血清的R-2培养基中，它们都不能生长；菌株CNR-1、CNA-1能强烈代谢精氨酸，而CNR-2和CRW-1不能代谢精氨酸；在氨苄青霉素钠浓度高达2000 U/mL的R-2培养基中，分离菌株生长良好。

In order to make problems simple relative map germs which map proper subspace R~s of R~m to proper subspace R~t of R~n are considered in the paper.

本文将相对映射芽的基本理论与经典奇点理论相结合，把A等价的判断条件应用到相对映射芽环中，推广了原有结论，得出了在两个C~r相对映射芽κ等价条件下判断其A等价的方法。

Ureg such that =; E (the ideal extension of a ring R by its ideal I) is an exchange ring if and only if R and I are both exchange.

一个一般环I是exchange的当且仅当对它的任意理想L以及=2∈I/L，存在w∈r.ureg使得=；E(环R通过它的理想I生成的理想扩张)是一个exchange环当且仅当R和I都是exchange环。

Shuffles elements of r using r as a shuffler. r must be a random-access range with length.

对Range r 洗牌，r 必须为一已知长度的随机访问区间。

With addition and multiplication defined componentwise, both R and R{D, C} are rings.Its clear that R is a subring of ?

R中加法和乘法分别定义为对应分量的加法与乘法，则R关于所定义的加法与乘法构成一个环，显然是？

Another major vizir was Damad Ibrahim,best known for diverting Sultan Ahmed Ⅲ(r.1703-1730)into building pleasure palaces and tulip gardens;but he also brought in European artists,commissioned Turkish translations of Western scientific works,and introduced the first Ottoman printing press.Mehmet Ragib tried in the mid-eighteenth century to better his subjects' lot through fiscal and legal reforms,while keeping the empire at peace.My point is that,even in this dark age of Ottoman history,there were sultans and vizirs who tried to bring in some light.More westernizing reformers would arise in the nineteenth century;Iwill write about them later.

此外，还有统治阶级的构件谁产奶奥斯曼制度，充实自己，而未能履行duties.but奥斯曼长寿的秘诀之一是，该系统还能够生产和苏丹vizirs谁看到腐败的改革和苏丹分别介绍reforms.amongossmanⅡ(r.1618-1622)，形成了新的尝试，以他为首的土耳其民兵被打死的janissaries； muradvⅣ(r.1623-1640)，一个强大和摔跤冠军阿彻25，000人被处决反叛单一年度学科门类；马哈茂德Ⅰ(r.1730-1754)，欧洲人首次引入新的战斗技巧，教导； selim和Ⅲ(r.1789-1807)，他介绍了综合改革计划，Nizam女士--jedid，我将在下一章节封面。

The invention is characterized in that the molecule of the polymer adsorption material has a structure in formula I: in the formula, R is selected from the natural polysaccharides with amino groups and hydroxyls and the derivatives thereof or the chemosynthetic polymers, the molecular weight of which is from 6 KD to 500 KD; X is selected from a C0 to C6 paraffinic chain with O atoms, N atoms or OH groups; R1, R2 and R3 are selected from a C1 to C4 alkyl group.

生物医学材料领域中的水溶性阳离子多聚物吸附材料及其应用，包括采用带有氨基或羟基的天然多糖及其衍生物或者化学合成多聚物季铵化反应合成，其特征在于该多聚物吸附材料分子具有式的结构：式中，R选自粘均分子量范围为6KD～500KD的带有氨基或羟基的天然多糖及其衍生物或者化学合成多聚物；X选自含有O原子、N原子或者OH基团的C 0 ～C 6 烷链；R 1 、R 2 、R 3 选自C 1 ～C 4 的烷基。

Subsequently,enol methylation of P in basic condition completed the synthesis of malyngamide O.Applied this route to the synthesis of malyngamides Q and R,the chiral unsaturated acid was connected with the vinyl chloride part by amidation,then the resulting product was converted into the corresponding aldehyde,followed by aldol condensation of the aldehyde with the chlorotitanium enolate of pyrrolidone to complete the skeleton of malyngamides Q and R,then the synthesis of them was completed via enol methylation in acid condition.

该合成路线拓展应用到malyngamides Q和R的合成时，首先用酰胺键将手性不饱和脂肪酸和烯氯片段连接，再转化成相应的醛，与乙酰基吡咯酮进行TiCl_4催化的aldol反应即得到malyngamides Q和R的骨架结构，再经过酸催化的烯醇甲基化反应完成了Q和R的全合成。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。