查询词典 compatible system of algebraic equations

Rumjantsev used Hamilton's principle with Lagrange's multipliers to generate the dynamical equations of a rigid-fluid coupled system in 1954 and the dynamical equations and their dynamical boundary conditions of a fluid-elastic coupled system in 1969, where the fluid is incompressible and inviscid. In 1990, Liu used Jourdain's principle with Lagrange's multipliers to generate the dynamical equations of a rigidfluid coupled system, where the fluid is incompressible and viscid.

Rumjantsev利用带Lagrange乘子Hamilton变分原理于1954年建立了刚—流耦合系统的动力方程，于1969年建立了流—弹耦合系统的动力方程及其动力边界条件，其中所考虑的流体是不可压无粘液体；Liu利用带Lagrange乘子Jourdain变分原理于1990年建立了刚—流耦合系统的动力方程，其中所考虑的流体是不可压粘性液体。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

TL084MJ Pinout: 3.3V Operation with 5V Tolerant Buffers ACPI 1.1, PC99/PC2001 Compliant LPC Interface with Clock Run Support Serial IRQ Interface Compatible with Serialized IRQ Support for PCI Systems 15 Direct IRQs Four 8-Bit DMA Channels ACPI SCI Interface nSMI Shadowed write only registers Internal 64K Flash ROM Programmed From Direct Parallel Interface, 8051, or LPC Host 2k-Byte Lockable Boot Block Can be Programmed Without 8051 Intervention Three Power Planes Low Standby Current in Sleep Mode Intelligent Auto Power Management for Super I/O ACPI Embedded Controller Interface Configuration Register Set Compatible with ISA Plug-and-Play Standard (Version 1.0a) High-Performance Embedded 8051 Keyboard and System Controller Provides System Power Management System Watch Dog Timer 8042 Style Host Interface Supports Interrupt and Polling Access 256 Bytes Data RAM On-Chip Memory-Mapped Control Registers Access to RTC and CMOS Registers Up to 16x8 Keyboard Scan Matrix Two 16 Bit Timer/Counters Integrated Full-Duplex Serial Port Interface Eleven 8051 Interrupt Sources Thirty-Two 8-Bit, Host/8051 Mailbox Registers Thirty-six Maskable Hardware Wake-Up Events Fast GATEA20

TL084MJ引脚说明： 3.3V工作电压为5V容错缓冲器的ACPI 1.1，PC99/PC2001符合LPC接口与时钟运行支持-兼容串行接口与串行的IRQ IRQ的支持PCI系统- 15直接的IRQ - 4个8位DMA通道- ACPI的SCI接口- nSMI -阴影只写寄存器内部的64K的Flash ROM -直接从程序并行接口，8051，还是LPC主机-的2K字节可锁定引导块-可在不干预程序8051三力飞机-低待机电流在休眠模式-智能型自动电源管理的超级I / O的ACPI嵌入式控制器接口配置寄存器设置兼容的ISA拆开的播放标准（版本1.0a）高性能嵌入式8051键盘和系统控制器-提供系统电源管理-系统监视狗定时器- 8042型主机接口-支持中断和轮询访问- 256字节数据RAM -片上存储器映射控制寄存器-获取实时时钟和CMOS寄存器-最多16x8矩阵键盘扫描- 2个16位定时器/计数器-综合全双工串行接口- 11个中断源8051 - 32个8位，Host/8051邮箱寄存器- 36个可屏蔽硬件唤醒事件-快速GATEA20

The develop-algebraic structure defined in this can be regarded as a model of a open and complex system. Research of the structure aims at to construct new algebraic structure and establish a relation among intelligent science, system science and management and decision.

文中定义的拓代数结构，可以看作是开放复杂系统的模型，研究它旨在导出新的代数结构并建立其与系统科学、智能科学、管理及决策的联系。

OR-coincidence algebraic system has close relationship with modular algebraicsystem, so it is necessary to study this algebraic system.

或-符合代数系统与模代数系统有着密切的关系，对它的研究也成为热点。

Firstly, the system of coupled first-order differential equations of the generalized telegrapher's equations was converted to a system of second-order differential equations.

首先，将时域耦合波方程组的关于轴向z的一阶关联偏微分方程组形式化为二阶偏微分方程组形式；然后采用时域有限差分法"预测-校正"方式对其进行求解。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

Aiming at the shortage of traditional numerical methods, the Adomian Decomposition Method is introduced to solve the nonlinear model equations in reaction engineering. ADM can give the approximate analytical solutions in a form of algebraic expressions for nonlinear equations.

针对传统数值求解方法存在的不足，将Adomian分解法(Adomian Decomposition Method，ADM)引入到反应工程非线性数模求解中，可给出非线性数模逼近解析解的代数表达式。

Cardano's Ars Magna is a landmark in the history of mathematics. It started the theoretical research on algebraic equations, solved the polynomial equations of third-degree and forth-degree in a general and systematical way, and studied the imaginary number as well as its operations for the first time.

卡尔达诺的《大术》在数学史上具有重要的地位，它开创了代数方程的理论研究，首次系统地给出了三、四次多项式方程的一般解法，并且最早讨论了虚数及其运算。

Kirchhoff's Voltage Law tells us that the algebraic sum of all voltages in loop must be equal zero, so we can create more equations with current terms (I1, I2, and I3) for our simultaneous equations.

基尔霍夫的电压定律告诉我们，在环路中的所有电压的代数和必定等于零，因此我们可以为四个同时的方程式列出更多带有电流项（I1， I2，和 I3）的方程式。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？