tensor form 中文意思是什麼
tensor form
解釋
張量形式-
Witten ' s open string field theory formulate the interaction of bosonic open strings in the language of noncommutative geometry. compactification of matrix theory on the noncommutative torus was argued to correspond to supergravity with constant background three form tensor field. more generally, it has been realised that noncommutative gauge theory arises in the worldvolume theory on d - brane in the presence of a constant background b field in string theory
Witten的開弦場論用非對易幾何描述了玻色開弦的相互作用；在非對易torus上的矩陣理論的緊化對應于帶有常數三形式張量場的超引力；更為普遍的，非對易規范理論可以自然地產生在帶有常數b背景場的三維d - brane上。 -
Using the metric tensor, one may form compontents of other variances.
利用度量張量還可以構成其它變異的分量。 -
They conclude their paper by showing how some partial differential equations and physical law can be expressed in tensor form.
他們在文章的末尾指出了如何把某些偏微分方程及物理規律表示成張量的形式。 -
The paper depicts the elasticity with euler form and associates the form with depiction of behavior of fluid. the method takes the velocity as basic variables and then derives the left - deformation tensor from the velocity in order to deal with the time - independent motion. at last in this chapter the equations of the finite flow - element are set up from the principle of the virtual work
首先建立流管元的概念，對彈性固體相關的部分採用euler描寫，並融入流體行為的描寫中；以速度為變量，反推左變形張量，用於處理流固物質的定常運動，給出了控制方程和相應的變分式；以此為基礎發展了一套相應的有限流管元演算法。 -
Firstly, with the help of angular momentum coupling theory, the hamiltonian for multi - electron adorns is rewritten in terms of spherical tensors. the advantage of this form is that the radial, angular and spin parts are separated completely, which makes it easy to calculate the angular matrix elements by means of irreducible tensor. secondly, theoretical expressions of the relativistic corrections including the relativistic mass correction, the darwin correction terms, the electron - electron contact terms and the orbit - orbit interaction which contribute to the non - relativistic energy for two - electron atom are theoretically derived in the lsmlms scheme
具體內容包括：首先，藉助角動量耦合理論，將多電子原子哈密頓算符中的自旋-自旋、自旋-其它軌道以及軌道-軌道相互作用全部改用球張量表示，這種球張量形式的優點在於已將原子哈密頓算符中的徑向、角向和自旋部分完全分開，從而便於計算矩陣元，而且角向矩陣元可以方便地利用不可約張量理論來進行計算。 -
Tensor form of permeability of fractured rock was studied
以fracflow為基礎編制了相關的計算機程序。 -
In addition to showing the solution to linear qd and its analysis, one form of nonlinear qd is discussed. compared with other color diffusion techniques, considering the interactions between channel pairs, qd has the following advantages : 1 staircasing effect is avoided ; 2 as diffusion tensor, the image derivative is regularized without requiring additional convolution ; 3 less time is needed. experimental results demonstrate the effectiveness of linear and nonlinear qd applied to natural color images for denoising by both visual and quantitative evaluations
雖然講四元數用於圖像處理已有了一些研究，但都是研究四元數傅立葉分析四元數小波分析或將簡化的四元數偏微分方程用於灰度圖像處理，而本文第一次將四元數擴散用於顏色圖像處理，這樣的好處包括： 1可以避免一般非線性擴散的階梯效應2四元數擴散不需要對圖像導數進行高斯卷積等歸整化操作3更為省時。
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