查询词典 non-degenerate

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。

Supplementary notice, Today, individuals will be less than two years to purchase housing external sales, sales tax should be levied in full; will be purchased over two years, and in accordance with city standards published ordinary housing shelter external sales should be located on the housing, capacity rates, housing size, prices and other documentary requirements and local taxation departments other materials, to the local tax department for handling exempted from business tax procedures; will be purchased over two years housing external sales, can not provide proof of a general shelter materials or audited non-compliance conditions, all in accordance with the ordinary non-housing related business tax policy that income by selling price minus the purchase of housing, the balance of a sales tax.

补充通知规定，今天起，个人将购买不足2年的住房对外销售的，应全额征收营业税；将购买超过2年的（含2年）的、符合本市公布的普通住房标准的住房对外销售，应持该住房的坐落、容积率、房屋面积、成交价格等证明材料及地方税务部门要求的其他材料，向地方税务部门申请办理免征营业税手续；将购买超过2年（含2年）的住房对外销售，不能提供属于普通住房的证明材料或经审核不符合规定条件的，一律按照非普通住房的有关营业税政策，即按售房收入减去购买房屋的价款后的差额征收营业税。

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

His use of modern composition techniques in his early piano work is most apparent in his use of non tertian harmony, his non functional chord progressions, his polytonal and mixed modal tonalities, and polyrhythmic.

1934年，俄籍作曲家齐尔品(A 。N 。Tcherepnin ，1899～ 1977)在上海国立音专举办"征求有中国风味钢琴曲"创作评奖，使《牧童短笛》等一批优秀的钢琴音乐作品脱颖而出。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。