EULER

Euler then shows how he can get the differential equation whose solutions are called cylinderical waves.

然后,尤拉展示他怎样得到其解称为圆柱波的微分方程.

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The flux vector splitting method is adopted to solve the 2-D Euler equations and a numerical simulation is conducted for the division-flow inlet of Dual Combustor Ramjet ( DCR) as well as the cold-mixing flow field of both flows from a dump combustor and from a supersonic inlet.

采用矢通量分裂法求解2D－Euler方程组，对亚燃／超燃双重燃烧冲压发动机（DCR）进气分流流场及其双重燃烧的冷态掺混流场进行了数值模拟。

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The 2D Euler through flow model Di-actuator theory is used to the research of skew and swept blades in this paper.

本文利用二维欧拉法的通流计算方法-双激盘理论对弯掠叶片的轴流叶轮机械进行研究。

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Gimbal lock is a phenomenon that easily affects Euler angle representations.

万向节锁是一种容易影响到欧拉角表现的现象.

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The derivation of Synge [ 2] for the finite rotation formula in terms of Euler parameter is put into tensor form. Hence a further clarification of the geometric meaning of the orthogonal transformation obtained in the author's paper [ 7] is made.

本文的第一部份将Synge关于转动变换的推导用张量公式表达，进一步阐明作者在文中所求得正交变换式的几何意义。

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⑵ Two calculational methods for nonlinear analysis are adopted, that is, the improved Euler method and the Newton iteration method.

⑵实现了两种求解非线性问题的数值计算方法：改进欧拉法和增量牛顿迭代法。

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The acquired 3 D object satisfied the restrictive conditions of Euler formula.

求解的三维实体满足欧拉公式点、线、面约束条件.

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Using Fourier pseudospectral method in space direction, and mid-point Euler method in time direction to discrete nonlinear "good" Boussinesq equation, a multi-symplectic Fourier pseudospectral scheme was constructed.

在空间方向用Fourier拟谱方法离散非线性goodBoussinesq方程，然后在时间方向用中点辛格式对半离散方程进行数值求解，得到了非线性goodBoussinesq方程的多辛Fourier拟谱格式。

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In this paper the existence of solution of Cauchy problem for Euler equation is discussed.

讨论二维不可压缩Euler方程Cauchy问题 解的存在性.

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The approximate solution of displacement is obtained by Euler method.

给出了纯弯曲应力的精确解,并用欧拉法得到了位移的近似解.

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The Euler method is often used traditionally in calculating streamline tracing, but it requires more computations and often gets emanative integral results.

传统的流线跟踪多采用欧拉积分方法，但该方法计算较复杂，有时会出现积分发散。

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Solution of time-dependent harmonic oscillator system using explicit Euler method and discussion of the cyclic initial states

用explicit Euler方法研究含时受迫谐振子的演化及对系统循环初态的讨论

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In this paper , the solution of general Euler equation was given and its oscillation was discussed.

给出了一般Euler方程的解并讨论它的振动性,利用这些结果和Sturm比较理论研究了二阶微分方程的振动性质.

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The correctness of the complete Euler equation set is verified with two functional examples.

通过两个算例验证了完全欧拉方程组的正确性.

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However the investigation into history of logical diagrams, especially from Euler Diagrams to Venn Diagrams to Existential Graphs and Conceptual Graphs, suggests that they have reached a more extensive and deeper significance rather than being confined within its pedagogical role.

但逻辑图表从Euler图到Venn图再到存在图表和概念图表的发展表明，它已经超越出教学工具这一狭隘界限，从而获得了更为深刻、广泛的意义。

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A 3D adaptive algorithm of Cartesian grid for Euler equations

三维直角叉树切割网格Euler方程自适应算法

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The CSCM-S algorithm proposed by Lombard et al is very attractivefor multidimensional Euler and Navier-Stokes equations.

由Lombard等人提出的CSCM -S 算法是求解Euler及Navier-Stokes方程的高效率方法.

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The numerical solution of Euler equations is provided as flow solver.

翼型的流场解由欧拉方程的数值解提供.

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In 1728 Euler gave differential equations for geodesics on surfaces.

1728年,奥伊勒绘出了曲面上测地线的微方程.

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An Euler Bernoulli beam equation with one end fixed and a tip mass at another end is considered.

该文考虑一端固定，一端具负荷的梁的振动问题。

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Euler's spirit for philosophic disputes remained undampen and he continued to engage in them.

争论哲学的精神仍常盛不衰,他持续地致力于此.

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The problem of discontinuousness of Euler angle when tooling along circle trace is solved in this paper.

在刀具加工圆轨迹的情况时，会出现欧拉角不连续的现象，文中对此提出解决方法。

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This paper gives the Euler characteristic of 2-dimensional surfaces with cross caps and surfaces with boundaries.

本文给出了带有交叉帽的二维曲面和带有边缘边的二维曲面的欧拉示性数.

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A type of governing equations is presented for the 3-D complicated flow in the turbine cascade with cooling-air injection. The derivation is performed for the concrete expression of N-S equations and Euler equations in the conservative form under the system of arbitrary curvilinear coordinates.

推导出适用于带冷气喷射的涡轮叶栅内三维流动的控制方程，得出任意曲线坐标系下守恒型N&S方程和Euler方程的表达式。

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In this thesis, a numerical simulation method for the combined tilt-rotor/ wing/ fuselage flowfield has been established by solving the Euler equations coupled with the momentum source model.

本文结合动量源模型，建立了以欧拉方程为主控方程的倾转旋翼机旋翼/机翼/机身流场的数值模拟方法。

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analysis to phase distribution in laminar bubbly flow with euler lagrangian method

利用欧拉-拉格朗日方法预测层流泡状流的含气率分布

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Thetheory includes Euler angular algorithm, direction cosine algorithm, quaternion algorithm and rotation vector algorithm.

基本理论包括欧拉角算法 、 方向余弦算法 、 四元数算法和等效旋转矢量算法.

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Euler deconvolution method is important for magnetic data interpretation.

欧拉反褶积法是磁测资料解释的重要方法.

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Ased on the principle of non-linear continuum mechanics, the differential equation and its incremental form of three-dimensional finite strain consolidation of saturated soil have been developed with Euler description method in this paper.

本文从连续介质力学的基本理论出发，用欧拉描述方法，建立了空间构形下饱和土体三维有限变形的固结微分方程及其增量表达式。

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Some interpolation on two dimensional Euler space of triangular domain is studied.

主要研究了二维欧氏空间三角域上的插值问题.

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