查询词典 algebraic equation

By means of Taylor's formulas and the extended homogeneous capacity method, the nonlinear equation is transferred into a linear homogeneous equation within an integral segment, which can be solved conveniently by the high precision integration method.

首先，借助Taylor级数展开，在一个积分步长内将非线性方程转化为线性非齐次方程，然后利用齐次扩容方法，进一步将其化为线性齐次方程组，便于用精细积分算法求解。

In §2, four met0hods for solving the integrable second order homogeneous linear ordinary differential equation with variable coefficientsy +py'+Qy=0 are given. Thus, the equation can be solved by means of elementary integrals and algebra.

给出了二阶变系数线性方程y＂＋py＇＋Qy＝0在可积的条件下的几种不同的求解方程，从而说明了这种可积的二阶方程不仅能用初等积分法求解而且也可以把它代数化，并使其通解公式化。

Through the Hooke＇s law and the compatibility equation, the governing equation of the plane problem was derived.

由胡克定律和形变协调方程得到平面问题的控制方程。

Based on the hydrokinetics study of jigging process, the free vibration equations of ideal fluid and actual flow vibration equations have been established. These equations are the theoretical foundation to set the operation parameters and air pressure of the jig. The similar criteria and their related equation of model jig have been deducted by actual flow vibration equation. These similar criteria can be used for parameter transformation between model jig and industrial jig. One set of single cell model jig with measuring system has been constructed in laboratory.

本文通过对跳汰过程的流体动力学研究，建立了跳汰机中理想流体的自由振动方程和实际水流的振动方程，为跳汰机工作制度及风源风压的确定提供了理论依据；利用跳汰机中实际水流的振动方程推导出了跳汰机模型试验的相似准数，建立了模化准则关系式，为工业跳汰机与实验室跳汰机之间的参数转换提供了理论依据；并设计建造了一套实验室单槽模型跳汰机及其实验检测系统，为深入开展跳汰理论的研究创造了条件。

The purpose of the paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem for the Hyperbolic type integro-differential equation and Hyperbolic type equation.

本文讨论了双曲型和双曲型积分微分方程的标准混合有限元和H~1-Galerkin混合有限元方法的L~2模和H~1模的误差估计。

This paper analysed every solving method of Arps Hyperbolic decline equation,pointed out their respective shortcomings, and them presented a new method which solves equation.

对J.J.Arps双曲递减方程各种求解方法进行了分析、研究，指出了各自的不足，同时提出了方程求解的一种新方法。

Equilibrium state, basic concept of gas kinetics, pressure equation and temperature equation of ideal gas.

第7周 狭义相对论动力学基础；平衡态、气体动理论的基本概念、理想气体的压强和温度公式。

Based on the smoothed particle hydrodynamics model, we first establish a new pressure equation of state instead of traditional ideal gas equation of state.

基于平滑粒子流体动力学模型，首先提出一种压力状态方程以取代传统的理想气体状态方程，从而在保证系统稳定性的同时，最大程度地保证液体的体积守恒；为了实现对水面浪花飞溅和泡沫的模拟，提出自适应的表面张力模型，通过制定3类流体粒子状态的转化规则，实现了飞溅粒子和主水体之间的无缝连接；并采用GPU图形硬件加速技术大大地提高了整个过程计算效率。

Mechanism of frosting formation for airside heat exchanger is analyzed, the existing problems in the formula of frost density change being used now are pointed out, and the accurate formula of it is firstly concluded from the ideal gas state equation and Clapeyron-Clausius equation.

分析了空气源热泵冷热水机组空气侧换热器结霜的机理，笔者指出了目前计算用于霜密度变化的结霜量变化率公式中存在的问题，提出了根据理想气体状态方程和Clapeyron-Clausius方程推导出的计算用于霜密度变化的结霜量变化率的公式。

Besides the previous research finding, the ideal gas equation and ideal gas, fluid dynamics and thermal dynamics were also included in the derivation of the equation of state of the detonation Wave.

目前国内可量测爆震波速度的仪器并不普遍，因此爆震波速度值得之不易，想利用爆震波速度来探讨爆破震动的特性更是难上加难，本文将依据理想气体方程式、流体动力学、热力学、理想气体多变定律和相关的经验公式，结合冲击波和爆震波传递时质量、能量和动量守恒的理论，推导爆震波的状态方程式，并藉由爆震波的状态方程式了解爆震波的特性及其应用。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。