转化

If fractional equation into Interdisciplinary equations into algebraic geometry problem, the problem will be transformed into quadrilateral triangle problem.

如将分式方程化为整式方程，将代数问题化为几何问题，将四边形问题转化为三角形问题等。

In the study of the recognition of bifurcation broblems, Gaffney establishes D -equivalence theory by introducing unipotent algebraic group and nilpotent Lie algebras.

借助于奇点理论中的一个基本概念，这一问题常常可以转化为有限维的情形来处理。

But it demands the higher computational accuracy. Time-dependent LU-SGS method and close coupled full implicit finite volume scheme are used. The AUSMPW+ based on the three-order MUSCL difference scheme is used for the inviscid operator, and the maximum eigenvalue splitting method is used to convert matrix operation to algebraic operation in order to shorten the computing time.

运用时间相关的LU-SGS方法，采用强耦合的全隐式有限体积进行离散，其中无粘对流项采用三阶MUSCL型差分的AUSMPW+格式，并应用最大特征值分裂，将矩阵运算转化为代数运算，大大缩短了计算时间。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

Fuzzy controller is designed according to human"s controlling experience of systems. After reducing the operator"s controlling experience to a set of qualitatively descriptive conditional statements, and then quantifying them by using the theory of fuzzy set, the controller can transform the natural language of human"s controlling strategies into the algorithmic language acceptable for the computer, then the controller can receive human"s experience, and imitates humans operating strategies and effectively control some objects that can not be constructed into the mathematical model.

模糊控制控制器是以人对被控系统的控制经验为依据而设计的，它把操作人员的控制经验归纳成定性描述的一组条件语句，然后运用模糊集合理论将其定量化，把人的控制策略的自然语言转化为计算机能够接受的算法语言所描述的控制算法，使控制器得以接受人的经验，模仿人的操作策略实现对一些无法构造数学模型的被控对象进行有效的控制。

Therefore, the study on bifunctional catalysts and their application in alkane conversion is necessary.

因此，对催化烃转化反应的双功能催化剂的研究就显得十分重要。

The catalytic partial oxidation process is now the main technology method for conversion of alkane in coke oven gas.

催化部分氧化工艺是目前焦炉煤气烷烃转化的主要技术手段。

The histiological characteristcs, and activities of alkine phosphatase and acid phosphatase of the implantan were examined to study the effects of fluoride on biological activities of BMP.

结果 氟对BMP的生物活性有直接的影响，氟能促进BMP将更多的成纤维细胞转化为成骨细胞，并能增强成骨细胞的功能，加速钙盐沉积，而破骨细胞功能有所下降。

We transformed RMgBr into R-Ti derivatives with the production of byproduct MgBrO~(i-Pr at the same time, but we didn\'t need romove the Mg salt by centrifugation or chelating reagents, for bis[2-(N,N-dimethylamino)ethyl] ether could chelate with Mg atom and thereby reduced the Louis acidity of Mg salt, so we used R-Ti derivatives produced in situ to alkylate the aldehydes induced by BINOL-Ti complexes..

我们通过利用TiO~(i-Pr_4使格氏试剂转化成烷基钛，同时产生具有亲核加成促进作用的副产物MgBrO~(i-Pr，由于BDMAEE能与MgBrO~(i--Pr络合降低其路易酸活性，所以不需要离心或者借助络合试剂完全除去镁盐，而使用原位生成的烷基钛在BINOL-Ti诱导下对醛进行不对称加成。

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％。