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By introducing the concepts of semiideal and regular semiideal with respect to a given subring, the general power rings and regular power rings are constructed and a number of examples of non-regular HX rings and non-regular power rings are cited.

通过引入了关于一个子环的半理想与正则半理想概念，构造出一般幂环与正则幂环，并具体给出了若干非正则HX环与非正则幂环的例子。

The method comprises the steps of: constructing a testing system which inputs digital codes and outputs simulated values of the analog-digital converter; obtaining a comparison table which is output through inputting responded simulated values of different digital codes from 0 to 2N-1 of the analog-digital converter; calculating to obtain an integration non-linear error comparison table corresponding to different digital code input of the analog-digital converter; compensating integration non-linear errors of the analog-digital converter through a hardware compensating method of adding a subtracter; and obtaining accurate analog-digital converter output.

搭建数模转换器的数字码输入-模拟值输出的测试系统；获得数模转换器从0到2 N -1的不同数字码输入响应的模拟值输出的对照表；计算得到数模转换器相应于不同数字码输入的积分非线性误差的对照表；通过加入减法器的硬件补偿方法，补偿数模转换器的积分非线性误差，获得准确的数模转换器输出。

Non-woody magnesium lignosulfonate is produced as a by-product in the sulphite non-wood pulping,which is a very abundant and innoxious biomass resource.

非木本木质素磺酸镁来源于造纸厂非木本原料亚硫酸盐制浆废液，属于来源丰富、无毒的可再生生物质资源。

Via generalizing the Cauchy method we obtain a new method,called the modified Cauchy method.By means of this method we establish two bilateral _3ψ_3 and _4ψ_4 series summation formulae,two four-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3ψ_3-series,and two five-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3φ_3-series,which contain many known results as their special cases,such as non-terminating q-Saalschütz summation formula,Bilateral _6ψ_6 series summation formula of Bailey,non-terminating Watson transformation formula and some transformations of _3φ_2-series etc.

通过对Cauchy方法的推广，我们得到修正的Cauchy方法，采用这个方法分别得到两个双边的_3ψ_3和_4ψ_4基本超几何级数的求和公式、单边_3φ_~(2-)级数和双边_3ψ_(3~-)级数的两个四项求和变换公式和两个五项求和变换公式，它们包括许多已有的结果为特例，如非终止的q-Saalschütz求和公式、Bailey的very-well-poised双边级数_6ψ_6求和公式、非终止的Watson变换公式和一些关于单边_3φ_(2~-)级数的变换公式等。

The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non-linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimalstrategies are obtained by changing the problem into a non-linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a Poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed.

其次从相对更宏观的层次上，通过对油气资源勘探与开发的特点分析，认为具有很强的随机性，证明了勘探活动发现油气藏的过程为一泊松过程，所发现的油气藏储量为一上鞅过程，在此基础上，建立了油气藏勘探发现率模型及储量模型，在油气价格服从几何布朗运动条件下，以油气开采收益最大化为目标，建立了一个油气资源勘探与开发的随机最优控制模型，采用动态规划方法得到了值函数的HJB方程，并针对方程的特点，以及方程及其变量所对应的经济学意义，对最优策略的求解进行了一些讨论。

Referee announced the end race, you must first remove the non-sword hand armor, the armor folder on the sword in the other arm under the arms, with non-sword hand and shook hands with opponents, salute to the audience.

裁判员公布竞赛结束后，必须先用非持剑手除去护面，把护面夹于持剑手臂的腋下，用非持剑手与对手握手致意，并向观众行礼。

Non-symmetric kernel density estimation is first used for life-table graduation in order to solve boundary bais of symmetric kernel used in the standard kernel density estimator,and compare the symmetric kernel graduation with non-symmetric kernel graduation and obtain the satisfied result.

针对以地称核修匀方法存在着边界偏差这种现象，将非对称核密度估计用于生命表数据修匀中，提出了非对称核修匀方法，并与对称核修匀方法进行比较，得到了令人满意的结果，从而使核修匀方法得到了进一步的推广。

On the other hand, if the introduction of stabilization fund, it is "the size of non-" and then set the role of the market is also highly concerned about, and it fully play its role also depends on how to use it to take the size of non-refining regulations.

另一方面，如果稳定基金的推出，它是"大小非"，然后设置市场的作用也十分关注，并充分发挥其作用还就如何利用它采取取决于规模的非精炼法规。

By means of the fractions of the equation of the non一ideal constrained motion of the particle along the plane curve on the tangential direction and normal direction,the motion speed expression of the particle under this condition is derived,the constrained counter force is further gained,thus some non一ideal constraint problems are solved from the given angle.

通过质点沿平面曲线的非理想约束运动方程在切线和法线方向上的分式，导出质点这一条件下的运动速度表示式，并进一步求出其约束反力，从一定角度解决一些非理想约束问

Nowadays in India, the true orthodox Buddhism has been completely extinguished with only a few superficial appearances left, and the substance has been replaced by the non-Buddhist tantrism of couple-practice. About Theravada Buddhism, although it can still keep the appearance of sound-hearer Buddhism and is not defiled by the non-Buddhist tantrism, it is rare to find the saints who can personally realize the sound-hearer liberation now. As for Mahayana Buddhism, there are only Buddhist rituals and the mind-consciousness dharma now in China, which has just recovered from the ravage of the Cultural Revolution. In both Japan and Korea, only the appearance of Buddhist rituals but not practice remains and there is no even the mind-consciousness practice like in China. Therefore the practitioners in China, Japan and Korea cannot touch the real content of the practice and realization to fulfill the Buddhahood way of the great-vehicle Buddhism.

现存的佛教，在印度已经完全灭亡，只余极少数人保留著佛教的表相，本质已是坦特罗双身法的非佛教了；南传的小乘佛教教域，虽然仍能维持小乘声闻佛教的表相而不被坦特罗双身法的非佛教所染污，然而能够实证声闻解脱道的圣者亦已难可觅得；而北传的大乘佛教教域中，中国才刚从文化大革命的破坏中恢复了仪式表相及意识境界的佛教，日本、韩国则只剩佛教仪轨的表相而无修行的表相，已谈不上如同中国地区意识境界的修行了；是故中、日、韩对於大乘佛教实践菩萨道的见道与修道真实内涵，都已经都无力触及了。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。