多自由度时，齐次通解在有耗散时，最后趋向于0，只剩下驱动源的频率的振动; roughly speaking, the Laplace operator gives you the difference between the value of a function at a point and the average value at "neighboring" points.

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位置矢量：常用参考系原点到质点位置的位移矢量来描述质点的位置。 力学基础内容（ ... 达朗贝尔原理，拉格朗日方程，泛函变分和哈密顿原理，运动积分、对称性和守恒定律 ..... 则系统的势能达到极值，极小值时平衡是稳定的，极大值时平衡是不稳定的 ...... 多自由度时，齐次通解在有耗散时，最后趋向于0，只剩下驱动源的频率的振动。

analysis - Nice way of thinking about the Laplace operator ...

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Apr 27, 2011 - Here's a nice fact: roughly speaking, the Laplace operator gives you the difference between the value of a function at a point and the average ...

[PDF]Derivation of the Laplace-Operator: Derivation of ...

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where the Laplace operator gives in 3D x,y,z : In the quantum mechanical and Schrödinger equation,. And we can write d'Alembertian in spacetime.

Computational Vision: Information Processing in Perception ...

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Hanspeter A. Mallot - 2000 - ‎Computers

If edges are straight, then, the Laplace operator gives correct results. Conversely, the operator of Equation 4.23 may be used to locate highly curved segments of ...

Quantitative Environmental Risk Analysis for Human Health

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Robert A. Fjeld, ‎Norman A. Eisenberg, ‎Keith L. Compton - 2007 - ‎Science

Taking the Laplace transform with respect to x and moving all quantities independent of x outside the Laplace operator gives us £xdC(x1s) + s1k£Axs) = ^£Mx)] ...

The Laplace operator in "layman's" terms - Quora

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Jan 16, 2015 - "roughly speaking, the Laplace operator gives you the difference between the value of a function at a point and the average value at ...

[SOLVED] Nice way of thinking about the Laplace operator ...

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Here's a nice fact: roughly speaking, the Laplace operator gives you the difference between the value of a function at a point and the average value...

Riemannian Geometry - Page 180 - Google Books Result

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Sylvestre Gallot, ‎Dominique Hulin, ‎Jacques Lafontaine - 2012 - ‎Mathematics

In section B, we explain how the use of the Laplace operator gives a less involved proof of the Bishop inequality (compare with III.H). In C, we present the ...

Crystalline Defects and Contamination: Their Impact and ...

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Bernd O. Kolbesen, ‎Electrochemical Society. Electronics Division - 2001 - ‎Crystals

The z-component of the Laplace operator gives g2C, while the r-component (that acts on the Bessel function) gives -X2C,. All the terms in the equation div(J)=0 ...

Advanced Fluid Mechanics - Page 221 - Google Books Result

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William Graebel - 2007 - ‎Technology & Engineering

Similarly, operating on the z component of equation (9.2.6) with the Laplace operator gives mean t2vz = − ( 2p ) +meang2T+2 ( 2vz ) (9.2.9) z Using equation ...

Computational Methods for Physics - Page xv - Google Books Result

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Joel Franklin - 2013 - ‎Science

But I believe that the two pieces are logically separate — discretizing the Laplace operator gives us a matrix inverse problem to solve, how We go about solving ...