查询词典 general equation

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Differing from the general BEM that is attributed from the general boundary integral equation, The natural boundary element method attributed from the natural BIE has not only the advantage of the dimensionality, but is confirmed and gain the only NBIE from the original problem.

无网格方法仅仅需要节点信息，克服了有限元等传统数值方法对网格有较强依赖性的缺点，摆脱了网格的束缚，避免了大量的网格分划、复杂的网格生成及重新划分的工作，减少了因网格畸变而引起的困难，而且收敛快、精度高、易于实现和进行后处理工作。

The natural frequencies, the equation of motion and the node of vibration are discussed for the vibration system of a cradle dynamic balancing machine. Some general remarks concerning the design are make. An analysis by the method of four measuring plane are given together with the actual electric circuits. Furthermore, the general ideas about the KQD-1 type cra-dle dynamic balancing machine are introduced as an example.

本文讨论了框架式动平衡机振动系统的自然频率运动方程、振动中心等问题；指出设计时应注意的事项，对四测量平面法作了理论分析，并给出其实际电路：以KQD—1型框架式动平衡机为实例作简要的介绍。

While equations (4) and (5) in general are preferred for the general floating point comparison check over equation (1), they are unusable for the test on closeness to zero.

相对於等式(1)，虽然在通常情况下，不等式(4)和(5)是通用浮点数比较检查的首先，但在测试接近於 0 的时候是不安全的。

Aiming at the research of general scroll profiles and its shape optimization,the coefficient parameter transformation characteristics of general arc functional scroll profiles based on instinct equation oftangent angle coefficient was studied.

针对通用涡旋型线设计及其形状优化，研究了基于切向角参数固有方程的弧函数通用泛函涡旋型线的系数参数变换特性，通过对各系数参数的单独特性分析，掌握了泛函弧函数涡旋型线在各个阶段的特性及其在整个阶段的共性。

In this dissertation the"Penalty"finite element method was employed to compute the velocity of the three-dimensional flow of power-law fluid in a profile die. In order to decrease the needed computer memory and raise the stability of numerical simulation, a set of decoupled methods such as PFEM, pseudo-body force method and transformation of momentum equation to the elliptic equation was developed to establish the general finite element equations to compute the distributions of velocity and viscoelastic stress of the three-dimensional viscoelastic flow of the Phan ThienTanner fluid in a profile die. During numerical simulation of the extrudate swell of the PTT fluid, the flow in the die and out of the die was analyzed separately, which demands less computer memory. The key techniques used in numerical simulation of the three-dimensional extrusion from dies such as decision of boundary conditions, creation of initial velocity field, selection of penalty factor, high Weissenberg number problem , regeneration of the free surface were studied in detail.

中文题名聚合物异型材口模挤出三维流动研究副题名外文题名 Study on three-dimensional flow of polymer melts during the process of profile extrusion from dies 论文作者涂志刚导师柳和生包忠诩教授学科专业材料加工工程研究领域\研究方向学位级别博士学位授予单位南昌大学学位授予日期2001 论文页码总数148页关键词挤出成型聚合物材料挤出口模聚合物异型材馆藏号BSLW /2003 /TQ320 /9 本文建立了求解挤出口模内幂律流体流动速度场的通用三维罚有限元模型；对于非线性粘弹性的Phan Thien-Tanner流体，为了降低模拟计算对计算机硬件的要求，并使模拟计算更加稳定，采用了一种去耦算法，包括罚有限元方法、拟体力方法和动量方程的椭圆类方程转化方法，并建立了求解速度场和粘弹性应力场的总体有限元方程；对于PTT流体的挤出胀大问题，提出了挤出胀大熔体口模内外分离模拟法，这样可以显著降低数值模拟对计算机硬件的要求。

In general, the other vibratory equations of Timoshenko's beam are special example of this equation. The steady-state vibrations of rail by making use of this equation are solved.

应用导出的方程，求解了铁路钢轨的稳态振动问题，相应地也给出了轨枕和道床的振动方程及其振动特性。

The initiative shoot condition of the ballistic equation of rocket gun is still general,but on the warship,the ship mov- ing will make the solution of the equation great deviation.

现有的火箭炮弹道微分方程组是建立在静止的发射条件上，舰载火箭炮采用该方程组进行解算时会产生较大的解算误差，为了减小因舰艇运动引起的误差，文中建立了解舰载火箭炮弹道微分方程组对舰艇基本运动和摇摆进行修正的模型。

First, we deduce a formula for vacuum polarization pressure as f ＝ G m M （ r ∕ r ＋ v ∕ c ）∕ r 2 , based on the isotropy of distribution of neutrinos ν0 in the lowest energy state in the physical vacuum, requested by the Pauli exclusion principle. Then, we deduced the metric equation of the general relativity and the equivalence principle according to this formula. Further, we demonstrate that this vacuum polarization pressure is the gravitation in general meaning.

首先从泡利不相容原理要求的在物理真空中最低能态中微子ν0分布的均匀各向同性出发，推导出真空极化压力公式 f ＝ G m M （ r ∕ r ＋ v ∕ c ）∕ r 2 ，然后由此公式推导出广义相对论的度规方程和等效原理，并论证此弱作用力的真空极化压力就是通常意义下的引力。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。