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first order differential coefficient
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     In this thesis, aim at the disturb on account of load liquid and changed, as well as wretched working state, treat the gauss the first order differential coefficient function as wavelet to transform the torque signal two times and search the singularity point that indicated fault of equipment alone the modulous maxima curve inner in small scale influnced wavelet conic and obtaining the wave arriving points.
     针对翻车机承载的流质特点、变荷特性以及恶劣工况带来的转矩测量的干扰问题,本文采用高斯函数的一阶导数作为小波函数对转矩信号进行两次小波变换后,在影响锥内,沿着细尺度方向搜索模极大值曲线收敛于反映设备运行异常的信号奇异点,并得到其波至点。
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     In view of the non-linear relation between the hefts of the partial stress tensor and the velocity gradient of the fluid,the intrinsic equation only depends on the first order differential coefficient of the velocity gradient.
     考虑流体的偏应力张量分量与速度梯度为非线性关系的情况,本构方程仅依赖于速度梯度的一阶导数。
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In the field of synthetic information forecast for mineral product, extremum lines (curves) of the first order differential coefficient of aeromagnetic and gravitational maps reflect the ruptures of magnetism and the densities of geologic bodies respectively. In order to deduce the rupture conformation, the similarities of attitude and size of geologic bodies in different deepness, curves of aeromagnetic and gravitational maps in different deepness and directions must be compared; only those ruptures...

In the field of synthetic information forecast for mineral product, extremum lines (curves) of the first order differential coefficient of aeromagnetic and gravitational maps reflect the ruptures of magnetism and the densities of geologic bodies respectively. In order to deduce the rupture conformation, the similarities of attitude and size of geologic bodies in different deepness, curves of aeromagnetic and gravitational maps in different deepness and directions must be compared; only those ruptures of reflection with similar curves are reliable. In order to deduce and analyze the situation automatically, in this paper, we first introduced the conventional estimation approach of spatial relation between curves. Later on, we also described the Neural Networks approach of reasoning of spatial relation between curves. The result indicate that these estimations of spatial relations between curves obtained by the Neural Networks approaches matched perfectly with the estimations of authoritative geological experts, and achieved triumphs in practical applications.

在利用综合信息进行矿产预测中 ,航磁和重力图件一阶导数极值线 (曲线 )分别反映了地质体的磁性和密度断裂 ,为了推断不同深度地质体的断裂构造、产状和规模 ,需要对不同延拓高度、不同方向的航磁和重力曲线进行比较 ,以推断它们之间的空间关系是否相似 ,只有相似的曲线所反映的断裂才是可靠的 .为了能够自动进行这种推理分析 ,给出了曲线间空间关系推理的神经网络方法 ,并且与传统的曲线间空间关系的判断方法进行了比较 .结果表明 ,利用神经网络方法进行曲线间空间关系分析所得到的判断结果与权威地质专家的判断非常吻合 ,在实际应用中取得了令人满意的效果

In view of the non-linear relation between the hefts of the partial stress tensor and the velocity gradient of the fluid,the intrinsic equation only depends on the first order differential coefficient of the velocity gradient.We have studied a model of a non-Newtonian viscous compressible fluid in 3D bounded domains,in which the viscous part of the stress tensor satisfies the coerciveness condition(τ)__(ij)(e)e__(ij)≥ε__1|e|~~γ and the values of the growth condition |τ__(ij)(e)|≤ε__2(1+|e|)~~γ.ε__1,ε__2...

In view of the non-linear relation between the hefts of the partial stress tensor and the velocity gradient of the fluid,the intrinsic equation only depends on the first order differential coefficient of the velocity gradient.We have studied a model of a non-Newtonian viscous compressible fluid in 3D bounded domains,in which the viscous part of the stress tensor satisfies the coerciveness condition(τ)__(ij)(e)e__(ij)≥ε__1|e|~~γ and the values of the growth condition |τ__(ij)(e)|≤ε__2(1+|e|)~~γ.ε__1,ε__2 are positive constants.Here e is the tensor of the velocity gradient,τ is the strain tensor and τ__(ij),which depends on the tensor of the velocity gradient,is the hefts of τ.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.

考虑流体的偏应力张量分量与速度梯度为非线性关系的情况,本构方程仅依赖于速度梯度的一阶导数。对满足强制性条件(τ)ij(e)eij≥ε1|e|γ,以及增长性条件|iτj(e)|≤ε2(1+|e|)γ的非牛顿粘性可压缩流体在三维有界区域中的流动进行了研究,其中ε1和ε2为正常数,e为速度梯度张量,τ是偏应力张量,iτj为τ的分量,它依赖于速度梯度张量。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。

 
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