In accordance with discrete, non-symmetry and time-delay feedback neural networks, we provide some theoretical criteria to judge the stability for designing the networks. On continuous feedback networks, we built an algorithm to estimate the convergence region. On the HNN feedback networks, an effective optimization algorithm based on the annealing strategy and the chaotic neural network is presented, and some disciplinary conclusions are provided to guide the selection of parameters. Simulation results on benchmark problems demonstrate that the performances of our algorithm are distinctly superior to those of the classic HNN based on gradient descend and stochastic optimization methods based on probabilistic distribution.

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The internal force yield condition is a close and convex curve and can correspond to the symmetry of internal force.

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In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

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Then is the property of fourier transform detally,it contains linar, symmetry,uncover,switch,time-move,frequency-move,time-differentialcoefficient,frequency-differential coefficient,time-intergrate, frequency-intergrate,odd even, theorem of Parseval ,and theorem of convolution,and make testify to some property,some have the example.

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By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

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When the second surface integral is calculated and the integral surface has some coordinate plane symmetry, computation can be simplified according to the integral odevity.

在計(jì)算第二型曲面積分時(shí)，當(dāng)積分曲面關(guān)于某個(gè)坐標(biāo)面對(duì)稱時(shí)comwww啊好大轻点，則可根據(jù)被積函數(shù)的奇偶性進(jìn)行化簡(jiǎn)特黄又大又粗又硬作爱大片。

As for the optimized structures, melamine is not coplanar and belongs to C1 symmetry.

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The Green-Schwarz IIB superstring on AdS5 S5 background can be considered as a non-linear a model where the fields take values in the coset superspace The superstring action has global SU(2,2|4) super-invariance and local K symmetry.

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To further improve frequency convener s performance,perfect phase-controlled theory and reduce voltage wave-shape s harmonic component,based on cosine interpenetration law the paper presents symmetry cosine law to better trigger points.

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