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Through an analysis of aquifer deformation machanism caused by groundwater pumping ,the seepage flow equation with considering adynamic unit is deduced in this paper,and the mathematical model for the effect of aquifer deformation caused by groundwater pumping upon seepage field is presented.

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Treating with coils as aeolotropy, this paper brings forward a set of mathematical mode for computing internal stress distribution of coil in the process of coil coiling, in which some factors are taken into account, such as the transverse distribution of shape, crown and curl tension of the strip, the friction between the strip and the reel, the friction between strips, and etc. Because the reel shrinkage and the inner circle of the strip losing radial restrain and circumferential restrain can induce interlayer slipping and the change of the whole coil compactedness , the assumption concerned ——"virtual reel" in the process of coil uncoiling is put forward, which takes the form of slow action to express the uncoiling process and, therefore clearly simulates the variation course of internal stress distribution of coil in the process of coil uncoiling.

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In this paper,the relation of primary aeration coefficient and NOx emission rates are obtained through mathematical analysis.

本文通過實驗數(shù)據(jù)的回歸分析給出了一次空氣與NOx函數(shù)關系的數(shù)學表達式人人艹97，并對NOx的排出特性進行了理論解釋。

To stability analysis of the tethered balloon, A three dimensional nonlinear mathematical model of tethered aerostat was assembled.

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Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

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A mathematical model of dynamic neural networks is built, which is shown to be equivalent to an affine nonlinear control system.

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And it has given the effects of the all factors on the runoff by 1D river networks mathematical model. Due to the natural and artificial influences, the water-sediment transport has greatly changed. It is characterized by marked decrease in runoff and sediment diverted from these outfalls and increase in water-sediment transport of main stream. The key factors causing these changes are aggradation of the three outfalls channels and Jingjiang river cutoff work.

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Based on gas dynamics,a mathematical model for the air brake system of train is established.

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