A Tangent Method of Residual Function to Solve Problems of General Eigenvalue

Calculation of Vapor-Liquid Equilibrium by Using Parallel Tangent Method

平行切线法用于汽液平衡的计算

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The Extensions of the Solvable Theorem of Inclusion Equation and the Applications of the Weak Tangent Cones in Normed Linear Space

赋范线性空间中包含方程可解性定理的推广及弱切锥的应用

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In order to determine the finishing allowance of double-circular-arc gears, the author recommends a procedure for measuring the base tangent length before finishing-cut and derives the relation between the finishing allowance and the base tangent length.

为确定双圆弧齿轮粗切后的精切余量，安排了精切前公法线长度测量工序，并推导了精切余量与公法线长度的关系式。

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The Calculation of the Measured Value on the Base Tangent Length and Its Tolerance for the Involute Splines

渐开线花键公法线长度测量值及其公差的计算

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The Research for the Measurement of Base Tangent Length of Asymmetric Gears in Asymmetric Gear Pumps

非对称齿齿轮泵非对称齿轮公法线的测量

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Determining the optimum tooth number when measuring the base tangent length of an involute gear

渐开线齿轮公法线长度测量最佳跨测齿数的确定

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Determination of Base Tangent Length Deviation of Tractor Involute Spur Gear

拖拉机渐开线外啮合圆柱齿轮公法线偏差的确定

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A method of calculation for the thickness and base tangent length of worm gears

延长渐开线蜗轮齿厚和公法线长度的计算

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All the discussion is based on two concepts of tangent hyperplane and normal vector.

整个算法建立在支撑超平面和法向量两个概念基础上。

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At last, by utilizing the property of hyperbolic tangent saturation function and MRP, the attitude regulation and tracking control algorithms are designed.

最后利用双曲正切函数的性质和MRP自身的性质，分别设计了控制输入受限情况下的姿态调节和跟踪控制算法。

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Image Compression of BP Neural Network with Hyperbolic Tangent Non-linear Function and Adding Mean Quantization Algorithm

双曲正切非线性函数和加均值量化算法对BP神经网络图像压缩处理的影响

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The steady automatic tangent line function has improved working efficiency.

稳定的自动切线功能提高了工作效率。

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Thesis analyzes superposition average algorithm of tradition and pointed out the limitations of the algorithm, the problems about that the residual interference noise and the incubation period of disturbance, proposes a superposition averaging algorithm based on the arc tangent function of the IIR filter.

论文分析传统叠加平均算法并指出该算法的局限，对残留干扰噪声及潜伏期的扰动问题，提出一种基于反正切函数的IIR滤波器叠加平均算法。

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To overcome the false result with piecewise constant regions produced by the binary zero-crossing decision process, a hyperbolic tangent function is used to substitute the symbol function, governing softly the varieties of gray levels of pixels beside the zero-crossing of edges.

为了克服二值的零交叉决策过程导致的虚假的分片常数图像，利用双曲正切函数代替符号函数，柔和地控制边缘的零交叉点两侧像素的灰度值变化。

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In the collinear geometry, there are always some non-conjugate component in the reflected wave, and the functional relation between reflection coefficient of amplitude and the thickness of sample can have the form of tangent function, hyperbolic tangent function and linear function;

在共线装置中，在反射波中总含有一定的非共扼的成分，振幅反射系数与样品厚度的关系可能是正切、双曲正切或线性函数关系；

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Based on differential evolution ( DE) algorithm, a method of fast implementation of the arc tangent function with high accuracy using assembly in fixed-point DSP is proposed. The validity and real-time behavior of this method is tested in a large scale.

基于差分进化算法，提出一种在定点DSP汇编层快速实现高精度反正切函数的方法，并对该方法在确定精度范围内的正确性和实时性进行了测试。

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The result of the experiment shows that real time image collecting system could collect image data from CMOS sensor in real-time. Stokes vector and reverse tangent function computing arithmetic is proven to be correct by the result of simulation.

实验结果表明了图像采集系统能够实时采集CMOS图像传感器输出的图像数据，仿真结果表明Stokes矢量和反正切函数计算算法是正确的。

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In order to let the system run smoothly and let the signals in the system tend to be smooth, the hyperbolic tangent function, instead of sign function, is adopted in design of the robust control terms.

其中，在设计鲁棒控制项时，采用双曲正切函数代替常用的符号函数，使得系统信号趋于光滑，运行更顺利。

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Compared with traditional methods, the approximating polynomial calculated by DE is of high accuracy and low order, and the real-time behavior of the arc tangent function designed by DE is much better than C library function.

与传统方法相比，差分进化算法求得的逼近多项式精度高、阶数小，设计出的反正切函数实时性远优于C库函数。

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The results show that the model has good fitting precision. It is more reasonable than traditional modified arc tangent function or hyperbolic function model for the saturation characteristic of transformer.

结果表明，与已有的修正反正切函数或双曲函数模型相比，该模型不仅具有较高的精度，而且对变压器饱和特性的模拟也更为合理。

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