indicator function meaning in English
表示函数
指标函数
指示函数
Examples
- Numerical tests shows that indicator function method is a simple and fast method , by which better reconstruction can be gained for no superior knowl - edge of the physical properties about media
数值实验表明，指示函数方法简单快速而准确，能在不对介质的物理性质有先验的假设基础上，给出较好的重构效果。 - From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance , all kinds of probable mixed variable impedance boundaries and cracks , from interior and exterior trans - mission problems and radiation condition , ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification . it is shown that the kernel of the integral equation characters the boundary of scatterer , which is determined by solving it by virtual of regularity method , meanwhile , some numerical tests are given . 3
在二维非均匀介质逆散射边界识别的数学模型(包括一般的非均匀介质，正交各向异性介质，变阻抗介质，各种可能的混合变阻抗边界问题)下，由内透射问题和外透射问题以及辐射条件，推导了上述介质的边界识别的积分方程和指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界。 - First , in virtual of identification of flaws is a typical of in - verse problems , proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation , the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given . second , the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon . finally , indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects , meanwhile , the proof of possibility for near - field measurements and nu - merical simulation are given
由于缺陷的识别是一类典型的反问题，因而首先从时谐电磁maxwell方程和helmholz方程出发，具体地阐述了求解正散射问题的有关方法，包括各种(夹杂)边界条件下的数值解法，就解的存在性唯一性给予了肯定的回答；随后对逆散射问题的理论作了简短的回顾，包括解的唯一性以及非线性不适定积分方程的处理等；然后对均匀介质和非均匀介质的逆散射问题建立了在各种边界条件下的边界识别的指示函数方法，鉴于近场数据获得的重要性，对近场测试时边界识别的方法给予了相应的证明，并且实现了数值模拟。 - Conditions of normal mode realization are deduced and optimized model with the multivariate mode indicator function as the target function is built . through solving the maximal eigenvalue problem , the original shaker force vector of appropriation is reached . then the realization approach of the optimal shaker force vector based on single shape principle is proposed and at the same time the automatization of normal mode appropriation is realized
对于模态物理分离技术的多点正弦激振纯模态试验技术,寻求其最佳激振力矢量是最为关键的环节,本文先推导出纯模态实现的条件,建立以多变量模态指示函数为目标函数的优化模型,通过求解最大特征值问题,得出适调纯模态的初始激振力矢量,再提出以单纯形原理为基础的最佳激振力矢量的实现方法,同时也实现了纯模态适调过程的自动化。 - From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet , neumann , robin , all kinds of probable mixed boundaries and cracks , direct and inverse scattering are discussed , and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification . it is shown that the kernel of the integral equation characters the boundary of scatterer , which is determined by solv - ing it by virtual of regularity method , meanwhile , some numerical tests are given . 2
在二维均匀介质逆散射各种边界识别的数学模型(包括dirichlet , neumann , robin ，各种可能的混合边界问题，裂纹问题)下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。