查询词典 simultaneous equations

The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. From the averaged equations, the theory of normal form is applied to find the explicit formulas of normalform associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the Maple program.

利用多尺度方法得出了主参数共振情况下的平均方程，利用Normal Form理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化，得到了平均系统的Normal Form。

Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.

中等代数（ 15 ％）。这方面的考试内容包括理解二次公式，有理式及根式，绝对值方程和不等式，序列，方程组，二次不等式，函数，建模，矩阵，多项式的根以及复数。

From the Maxwell′s equation,the quasi static electromagnetic field equations in a perfect conductor have been deduced in this paper.The equations are used to analyze two eddy current field engineering problems,and good results are obtained.

本文从麦克斯韦方程出发，推导出良导体内的似稳电磁场方程，将导出的电磁场方程用于分析两个电磁工程实例，获得了两个工程问题的涡流场解析计算结果。

Equations of the force acting on the oil droplet are given based on the analysis of radial pressure field. These equations point out that this force directs to the core and may improve the separation.

在研究压力分布的基础上，给出了径向压力场作用在液滴上力的计算公式，并指出这个力指向核心，有利于分散相液滴的分离。

The energy balance equations and exergy balance equations of heat exchanger and power equipment in the combined power cycle were established.Taking condensation temperature of Rankine cycle, inlet and outlet pressure of turbine of Rankine cycle, inlet and outlet pressures of turbine of LNG cycle as key parameters, the influences of these parameters on the thermal efficiency and exergy efficiency of the combined power cycle were analyzed.

建立了混合动力循环中换热和动力设备的能量平衡方程和可用能平衡方程，并以朗肯循环冷凝温度、朗肯循环透平进出口压力、液化天然气循环透平进出口压力为关键参数，分析了上述关键参数对混合动力循环热效率和可用能效率的影响。

The energy balance equations and exergy balance equations of beat exchanger and power equipment in the combined power cycle were established. Taking condensation temperature of Rankine cycle, inlet and outlet pressure of turbine of Rankine cycle, inlet and outlet pressures of turbine of LNG cycle as key parameters, the influences of these parameters on the thermal efficiency and exergy efficiency of the combined power cycle were analyzed.

建立了混合动力循环中换热和动力设备的能量平衡方程和可用能平衡方程，并以朗肯循环冷凝温度、朗肯循环透平进出口压力、液化天然气循环透平进出口压力为关键参数，分析了上述关键参数对混合动力循环热效率和可用能效率的影响。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

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。

When I started coding, I had problems with the ASF file writer.

当我开始编码，我曾与ASF文件作家的问题。

I know that in one of the schools the boys have risen up in the classroom and enlisted in a mass.

如果你们也和他们一样，是集体自愿的话，你们的老师将是多么地光荣啊。