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In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

Combining case history with point reliability solution, applied narrow bound method to calculate general failure probability of composite foundation improved by Dry Jet Mixing, appraised system reliability, precede sensitivity analysis with correlation coefficient of main failure modes in system reliability solution.

3结合工程实例，在点可靠度求解的基础上，运用窄界限范围法求解粉喷桩复合地基系统总失效概率，评价其系统可靠性，并对系统可靠度求解中主要失效模式间的相关系数进行了敏感性分析。

By means of deriving the approximate solution and a process of approaching iteration, we have shown that a general solution exists for a non-Newtonian compressible fluid in 3D bounded domains. The proof is based on an elementary energy method.

文章利用构造近似解和极限的过程证明了三维有界区域中非牛顿可压缩流体广义解的存在性，所用的证明方法为能量方法。

Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统；精确解；近似解；孤立波； Riccati方程方法；图灵机；可计算函数

MVFK8vP7Ge+Uu0 Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统；精确解；近似解；孤立波； Riccati方程方法；图灵机；可计算函数

Record and compare the spectra concomitantly obtained for the test solution and the Standard solution.

记录并比较伴随地得到的供试溶液和标准溶液的光谱。

A new dehumidification air conditioning was put forward on the research above. The procedures were as follows. Firstly, on the basis of thermocompression air conditioning, liquid dehumidification system was added. Secondly, dehumidification solution was sprayed on the evaporator and condensator directly. The evaporator's cooling was used in dehumidification. The condensator's heat was used in the solution's regeneration. The latent heat charge and sensible heat charge were treated at the same time in this air conditioning process.

通过对上述内容的研究，提出了一种新型除湿空调，在现有蒸气压缩空调系统基础上，加入液体除湿系统，将除湿溶液直接喷淋在蒸发器和冷凝器上，用蒸发器冷量实现带冷却除湿，用冷凝器热量对稀溶液进行再生，实现对空气调节过程中潜热负荷和显热负荷同时进行处理。

Water is filled into 1/3-2/3 of underground solution cave, and light type nuclear fusion body is put into the cave. Igniting the nuclear fusion body make water reach water vapour state in high temperature and high pressure 300-400 deg.C and 30-40Mpa, which drives rotation of turbo generator to generate electricity. With power being done, exhaust steam is condensed in condensator. Then, igniting the nuclear fusion body is carried out in another solution cave.

一种利用热核聚变能发电的方法，它包括以下步骤：在地下熔洞中注入占该熔洞1/3～2/3的水，并在该熔洞水中放入轻核聚变弹体，引爆该弹体后使熔洞中的水达到300～400℃、30～40Mpa的高温高压水蒸汽状态，并使之驱动汽轮发电机旋转发电，作功后的乏汽经冷凝器冷凝；在另一熔洞水中再引爆一轻核聚变弹体，使该熔洞中的水达到300～400℃、30～40Mpa的高温高压水蒸汽状态，并驱动汽轮发电机旋转发电。

According to these two joint density functions, various joint probability density functions between the ambiguity solution and the position parameter solution are obtained, and various conditional probability density functions of baseline position parameter vectors are also obtained.

根据这两个联合概率密度公式得到了各种类型的模糊度和基线位置参数向量的联合概率密度函数，还得到了各种类型基线位置参数向量的条件概率密度函数。

The total conductance of a solution depends on the number and kinds of ions in the solution and the characteristics of the electrodes.

一种溶液的总电导度取决于溶液中离子的数目和种类以及电极的特性。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。