helmholtz

The Helmholtz equation is an elliptic partial differential equation which is a time-harmonic solution of the wave equation. Obtaining an efficient and more accurate numerical solution for the Helmholtz equation has been the subject of many studies.

亥姆霍兹方程是一个波方程的时间调和解答，寻求高精度的数值解一直是计算力学界研究的主题。

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The surface Helmholtz integral equation dispersed by quadratic iso_parametric element is used as computation equation. Extensive work has been performed to overcome boundary integral equation in acoustic problems, non_uniqueness of solution and singular integral kernels.

以二次等参元离散的表面Helmholtz积分方程作为计算方程，采用一系列数值处理技术，克服了表面Helmholtz积分方程求解声学问题时出现的解的不唯一性和积分函数奇异性。

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For example, after operated with Fourier transformation, Helmholtz equation becomes a simple equation with a solution to plane wave, which describes propagation of sine wave in the uniform media.

例如，对Helmholtz方程做傅里叶变换，得到一个具有全局化的平面波解的简单方程，傅氏调谐基函数在均匀介质中的传播即依赖于这个方程。

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The simulation of satellite orbit magnetic field produced by two pairs of Helmholtz coils is studied.

报道利用两对赫姆霍兹线圈模拟卫星的磁环境的研究.

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The fundamental solutions for the Poisson equations and modified Helmholtz equations were set up.

求解了泊松方程和修正的亥姆霍兹方程的基本解.

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So I can in a very straightforward way say, OK, well, here is my Helmholtz free energy.

所以我可以很直接的说，这就是我的亥姆赫兹自由能。

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The influence of ion charge on the Helmholtz energy of fluid mixtures was taken into account by considering the interactions between the charge of ions located in the first coordination shell and the dipole or induced dipole of the central solute molecule.

为计入离子电荷对流体混合物Helmholtz自由能的影响，作者考虑了位于中性分子的第一配位圈中离子的电荷与此分子的诱导偶极和偶极的相互作用。

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Based on the Helmholtz integral with the Kirchhoff approximation, the signal receiving model of acoustic lens and the acoustic scattering model of the target have been made, and stationary phase method is used to evaluate the scattering wave.

论文基于Helmholtz积分，利用Kirchhoff近似建立了声学镜头接收信号模型和目标散射声模型，并采用稳定相位法计算目标散射声。

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In the scientific journal PLoS One, Sara Bartels and Siegfried Weiss of the Helmholtz Centre for Infection Research ( HZI) in Braunschweig, Germany now show how the bacteria migrate into tumors.

公共科学图书馆•综合的科学杂志报道，德国不伦瑞克市赫尔姆霍茨传染病研究中心的莎拉•巴特尔斯和齐格弗里德•魏斯展示了沙门菌是怎样转移到肿瘤组织内的。

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Effect of Air cleaner on Engine Performance and Application of Helmholtz Resonator

空气滤清器对发动机性能的影响及亥姆赫兹谐振器的使用

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Introduction to Helmholtz Association of National Research Centres

德国亥姆霍兹国家研究中心联合会介绍

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Solving Helmholtz equation in an exterior circular domain

圆外区域求解Helmholtz方程

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The Helmholtz-Kohlrausch effect is related with the chromatic strengths of spectral colors suggested by R.

H-K效应现象与到埃文斯所提出的光谱色的颜色强度有关。

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But it is a fitting tribute to Debereiner's insight that, if all goes well, some time in the next few months will bring the creation of a new alkali metal, element number 119, by his countryman Christoph Dullmann of the GSI Helmholtz Centre for Heavy Ion Research in Darmstadt.

在即将到来的几个月里，如果一切顺利，德国达姆施塔特市GSI亥姆霍兹重离子研究中心的Christoph Dullmann将合成一个新的碱金属，即元素周期表中第119号元素。这也恰恰彰显了其同胞Debereiner的深刻洞察力。

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A Helmholtz coil is installed on the base sliding block through the coil fixed plate and can slide freely on the base guide rail.

亥姆霍兹线圈通过线圈固定板安装在底座滑块上，可以自由的在底座导轨上滑动。

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The Feynman path Integral Formulation of the Interaction of Electromagnetic Radiation in the Electric Dipole Approximation However, the sound field of such transducer can not be solved analytically by the Helmholtz integral formulation.

电偶极近似条件下电磁相互作用的Feynman路径积分描述但是，这种换能器的辐射声场不能直接利用Helmholtz积分法进行解析求解。

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Dr. Charpentier, who is now at the Helmholtz Center for Infection Research in Germany, helped start Crispr Therapeutics.

在德国亥姆霍兹感染研究中心（Helmholtz Center for Infection Research）工作的卡彭蒂耶博士帮助创建了Crispr Therapeutics公司。

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Both a free volume approach for Helmholtz free energy and a theoretically-based fitted formula for radial distribution function ( rdf) of hard sphere solid were employed to describe the Helmholtz free energy of Lennard-Jones ( LJ) solid in the framework of first order thermodynamic perturbation theory.

结合描述硬球固体Helmholtz自由能的自由体积方法与描述硬球固体径向分布函数的拟合的分析表达式与一阶热力学摄动理论，用于描述Lennard Jones（LJ）固体的Helmholtz自由能。

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Helmholtz theorem and expansions of eigenfunctions of electromagnetic field in resonant cavity

谐振腔中的亥姆霍兹定理及电磁场的本征函数展开问题

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The electron displacement meets non-linear relation when the radius of Helmholtz coil is given.

当亥姆霍兹线圈的半径给定时,电子偏移距离与电流满足非线性关系.

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The optimum space of square Helmholtz coil was evaluated on the basis of mathematic deduction.

经过数学推导,得出方形赫姆霍兹线圈的最佳间距.

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A perturbation theory of electromagnetic fields in metal cavity has been presented according to the similarity of Helmholtz equation and schrdinger equation. When a dielectric is introduced in metal cavity, the electromagnetic fields and oscillating frequency may be changed.

根据电磁场Helmholtz方程与定态薛定谔方程的相似性，给出了金属谐振腔电磁场的微扰理论：在金属腔中放入一介质体时，原来空腔中电磁场的分布和谐振频率会发生改变。

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If a plate solution is known which has the same boundary and loading conditions with a shallow shell, the solution of that shell can be reduced to a non-homogeneous Helmholtz's equation in complex domain.

如果与薄扁壳的边界形状及荷载相同的薄板弯曲问题的解为已知，则相应的薄扁球壳弯曲方程组降阶为一个非齐次的Helmholtz方程而易于求解。

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The optimization of the air-in filter acoustic performance by Helmholtz resonator based on calculation and experiment has effect on the decrease of pass-by noise.

基于这一研究结果，在计算和实验的基础上利用Helmholtz共振腔对空滤器的声学特性进行了改进，改进后的空滤器对降低车辆进气侧通过噪声有很好的作用。

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Two kinds of design show more noise reduced below 1000 Hz, one is the air-in filter with only one expand chamber, and the other is with the Helmholtz resonator.

通过对比分析，最终选择了在1000Hz以下的低频消声性能相对较好的两种设计方案：单扩张腔式空气滤清器和Helmholtz共振腔式空气滤清器。

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The Helmholtz free energy expansion of the Rochelle salt crystal is obtained by the basis function of the irreducible representations ofthe paraelectric phase group D2.

利用罗息盐晶体顺电相所属晶体点群-D2群不可约表示的基函数，构造出该晶体亥姆霍兹自由能展开式。

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Based on Helmholtz theorem, the general conditions that H is dependedent only on conductioncurrent are derived.

并依据亥姆霍兹定理推导了H仅与传导电流有关的一般条件.

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The Maxwell equations are then transformed into inhomogeneous vector Helmholtz equations by introducing Hertz vectors.

通过引入赫兹矢量，将求解麦克斯韦方程组问题转化为求解关于赫兹矢量的非齐次矢量赫姆霍兹方程组。

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The boundary element formulation considering impedance surfaces is deduced from Helmholtz wave equation.

本文从Helmholtz波动方程出发，导出了考虑结构表面有声阻抗材料时的边界元方程形式。

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The strain energy density function equals the Helmholtz.

应变能密度函数等于亥姆霍兹函数.

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