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Jacobian, Hessian Matrix Properties, Sensitivity Analysis w.r.t Design Variables, Fixed Parameters and Constraints, Normalization, Finite Difference Approximation, Automatic Differentiation, ANOVA, Adjoint Methods, Examples

Jacobian， Hessian矩阵属性，灵敏度分析w.r.t设计变量，固定参数和约束，归一化，有限差分逼近算法，自动差分算法，ANOVA，伴随矩阵法，举例

In [1] and [35] Bagby and Gomez independently proved that there are many functions f ∈ L ln~+ L(R~2) such that M_s ∈ L~1 for any measurable set E of finite measure.

在[1]和[35]中他们分别证明了存在许多函数f∈Lln~+L(R~2)使得对任意有限测度集E，M_S∈L~1。

We presents an accurate F method based on corresponding point adjustment.The method adjusts coresponding points according to the fixedness of projective transformed cross ratio,then calculates F matrix accurately through linear and non-linear methods. When computing intrinsic parameter,A matrix,we simplify the step,and stress on the two important parameters of A.The result will be getten through solving Kruppa equation based on SVD decomposition.In order to compute extrinsic parameters,we use linear method to get initial R and t,then apply non-linear method to accurate them.

提出了基于匹配点调整的F求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精F矩阵；在计算内部参数A中，进行了一定的简化，把重心放在A中重要的两个参数上，用SVD分解法计算Kruppa方程；在计算外部参数时，首先用线性法求解R、t，然后再用非线性法迭代求精。

In the self - calibration scheme , the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters . we presents an accurate f method based on corresponding point adjustment . the method adjusts coresponding points according to the fixedness of projective transformed cross ratio , then calculates f matrix accurately through linear and non - linear methods . when computing intrinsic parameter , a matrix , we simplify the step , and stress on the two important parameters of a . the result will be getten through solving kruppa equation based on svd decomposition . in order to compute extrinsic parameters , we use linear method to get initial r and t , then apply non - linear method to accurate them

提出了基于匹配点调整的f求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精f矩阵；在计算内部参数a中，进行了一定的简化，把重心放在a中重要的两个参数上，用svd分解法计算kruppa方程；在计算外部参数时，首先用线性法求解r、 t ，然后再用非线性法迭代求精。

When the R input returns to 0,the Flip-flop remains in the RESET, or 0,state.

当R输入端返回到0时，触发器保持在"复位"（或0）状态。

Through the operation of formal power series, we set up the expansion of Ar, a popularizing of the common polynomial theorem, where r is a non-zero real number.

通过形式幂级数A的幂运算，建立了Ar的展开式，这里r为非零实数，这是常见的多项式定理的推广。

Fractional Noise and R/S Analysis.

分数噪声和R/S分析。

Freytag and Vice Chairman William R.

前总裁兼首席执行官理查德A Freytag在副主席威廉R罗德。

More often than not, the students devoted part of their works to the discussion of Benjamin or discussed him together with others in their works. The former practice includes the French scholar. R. Rochlitz, who wrote a chapter, the Price of Modernity in his monograph the Disenchantment of Art: the philosophy of Walter Benjamin, dealing with chidhood and memory, the end of the Art of story-telling, lyric poetry at the epoch of capitalism allegory and the evaporation of the Aura, etc. The latter practice includes D. Frisby who placed Benjamin on a par with Simmel, Kracauer in his work Fragments of Modernity, claiming that Benjamin, similar to the others, focused on the trans ie nce of the e XP er ie nce of modernity.

前者如法国学者R·洛希里兹的专著《艺术的去魅——本雅明的哲学》中有一章名："现代性的代价"，内容涉及儿童和记忆、讲故事艺术的终结、资本主义抒情诗歌、寓言、灵韵的消失等；后者如D·弗瑞斯比在其著作《现代性的碎片》中将本雅明与齐美尔、克拉考尔相提并论，强调本雅明同他们一样，关注的核心在于对现代性体验的短暂易逝的特性。

More often than not, the students devoted part of their works to the discussion of Benjamin or discussed him together with others in their works. The former practice includes the French scholar. R. Rochlitz, who wrote a chapter, the Price of Modernity in his monograph the Disenchantment of Art: the philosophy of Walter Benjamin, dealing with chidhood and memory, the end of the Art of story-telling, lyric poetry at the epoch of capitalism allegory and the evaporation of the Aura, etc. The latter practice includes D. Frisby who placed Benjamin on a par with Simmel, Kracauer in his work Fragments of Modernity, claiming that Benjamin, similar to the others, focused on the transience of the experience of modernity.

前者如法国学者R·洛希里兹的专著《艺术的去魅——本雅明的哲学》中有一章名："现代性的代价"，内容涉及儿童和记忆、讲故事艺术的终结、资本主义抒情诗歌、寓言、灵韵的消失等；后者如D·弗瑞斯比在其著作《现代性的碎片》中将本雅明与齐美尔、克拉考尔相提并论，强调本雅明同他们一样，关注的核心在于对现代性体验的短暂易逝的特性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。