查询词典 dependent equations

Multipleprediction regression equations on surface runoff and soil erosion quantities are givenin the dissertation.The prediction errors of these equations are about 15% to20%.

另外，应用地表径流小区观测资料推算土壤的抗冲性指标一抗冲模数，能够真正地反映野外降水击溅和径流冲刷对土壤侵蚀量大小的影响。

The FFT of Helmholtz equation on the regular domain is studied. And the multifrontal algorithm is used to solve the matrix equations in computational electromagnetics.Finally, the finite-difference approximate forms of Maxwell equations and the Despres transmission condition are discussed.

为了充分提高算法的计算效率，研究了规则区域上Helmholtz方程的FFT快速算法，以及有效地将多波前算法引入计算电磁学领域用于求解差分稀疏矩阵方程。

In this dissertation, we establish the fundamental theory and methods to study systems of linear matrix equations over regular rings and polynomial rings over finite central algebras; and investigate some significant systems of linear matrix equations over the rings mentioned above.

本文在正则环和有限维中心代数上的多项式环上初步建立了研究矩阵方程组的基本理论和方法，并在上述环上研究了具体的具有重要意义的矩阵方程组。

The Prandtl coordinate transformation is used to transform the wavy surface into a regular plane, and the obtained equations are then simplified further by the order-of-magnitude analysis to give the boundary layer equations.

用Prandtl 座标转换的观，将波形表面变成一规则的平面，其次用级分析，进一步推导出系统的边界层方程式。

The second part deals with renormalization group equations in general gauge field theories. In this part, the complete set of two-loop renormalization group equations in general gauge field theories is presented.

第二个部分主要讲述了规范场理论中的两圈重整化群方程，我们给出了一组完整的一般规范场的两圈重整化群方程。

If you later add more equations to the paper before the referenced equation, all the equations will automatically renumber and the cross-references will update.

就算以后您在前面加入新的公式，它们都会自动编号，交叉引用编号也会自动修改。

By solving the optimum -- diameter equations for the case of critical Reynold number, it has been found possible to decide whether any given flow will be turbulent or viscous in a pipe of optimum diameter. At these equations and ...

本 文所推导的公式及算图都是以我国目前的价格指标为依据，因此应用它来选取经济管径应当是适合于我国情况的。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

In this method, the decision-making variables of GA are the unknown quantities of the non-linear equations, the target function for optimization is the minimum of the root-mean-square error between the computational value on the left and the real value on the right in equations, and the initial value is generated randomly in the feasible fields of the decision-making variables.

该算法以非线性方程组的待求量为决策变量，方程组两端向量的均方差最小值为目标函数，初值在决策变量可行域内随机产生。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？