查询词典 volume derivative

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Bindings worn, some corners showing cardboard at tips, hinges rubbed, most hinges starting to crack at top and bottom, 3 upper hinges cracked along half the length but covers still holding, some spines slightly chipped at top or bottom, title label missing on Volume I, label slightly chipped on 3 volumes, inscription to all pastedowns, occasional light staining and light soiling mainly to margins and chiefly in Volume I, some ink splashed on fore-edges of Volume II, just showing at edge of title page, small piece torn from fore-edge of 1 page in Volume I with loss of about 3 words on recto and verso, small closed tear to margin in Volume III, 2 in Volume IV, 1 just entering text, all neatly repaired with no loss of text, small piece missing from 1 corner in Volume V, no loss of text, title page of Volume VII slightly browned and with small piece missing from fore-edge margin, small hole in 1 text page with loss of a few letters, all still easily legible, map of the world has several repairs to reverse, no loss of image, plus several misfolds, lightly browned along 1 vertical fold, some calculations in old ink on reverse of 1 map, tiny hole in 1 map with very slight loss, a small brown stain to 1 plate, 3 tiny holes in lower margin of 1 plate.

条件绑定破旧，在一些弯道显示提示纸板，摩擦铰链，铰链最开始打击在顶部和底部，3上铰链沿长度的一半，但其涵盖破获仍然持有，有些刺略有顶部或底部缺口，标题标签上卷失踪一，标签上稍微切3卷，所有pastedowns题词，偶尔光染色和轻弄脏主要是利润率和主要余卷，一些墨水溅到突出，第二卷的边缘，就显示在标题页的边缘，小件撕裂的前奏，1页边卷约3对直肠和Verso的损失我的话，小封闭撕裂，在第三卷，第四卷2，1只输入文本，所有整齐，没有文字的损失修复保证金，从一小块角落的第五卷，没有文字的损失，卷扉页七略变黄，并从一小块突出失踪的边缘利润，在1文字页小孔与几个字母损失失踪，所有仍然很容易辨认，在世界地图上有几个维修扭转，没有形象的损失，再加上一些变异，轻轻沿1垂直倍褐变，在对1地图，地图上，在一洞非常小的损失，改变旧墨水一些计算小褐变1盘，3小孔低1板块边缘。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted f...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

They were both easily to be dissolved in dilute alkali. When the pH gradually increases, the ring-opening speed of the derivative is higher than that of GB. The derivative was obviously affected by solvent and higher temperatures. When GB was dissolved in PEG, the peak of the derivative disappeared at 50 ℃ for 15 h or at 120 ℃ for 4 h. Besides the main peak of GB, there appeared a small peak with a retention time of 1.2-3.0 min after heating 4 h at 120 ℃. The result showed that the derivative was in a high energy state, and GB had a better stabilization.

溶剂和温度的综合作用对衍生物的稳定性影响更加显著，GB在聚乙二醇溶液中分别于50 ℃下保存15 h和120 ℃下保存4 h后其中的衍生物峰全部消失；将该溶液于120 ℃下保存4 h后分析，除有主峰GB外，在保留时间为1.2～3.0 min范围还伴随有小峰出现，这说明衍生物处于高能态，GB相对较为稳定，两者共存，且相互转化；在特定条件下衍生物能全部转化为GB。

The first rank derivative is a reflection of curve change and its rate, at certain range, if the sign of the first rank derivative has changed, the logging value of the correspondence depth point means maximum in this range; the second rank derivative is the knaggy property reflection of curve, at certain range, if the sign of the second rank derivative has changed, the correspondence depth point represent the inflexion of geophysical logging curve, it＇s also a turning point of the reflection of knaggy change property of the curve, it is the interface of stratum.

测井曲线的值是深度的函数，测井曲线的一阶导数表示了曲线变化的趋势和变化的快慢，在某一范围内，当一阶导数呈现符号转换时，相对应的深度点的测井值即为该范围内极大值；测井曲线的二阶导数则表示曲线的凹凸性，在某一范围内，当二阶导数呈现符号转换时，相对应的深度点代表了测井曲线的拐点，即反映曲线凹凸性变化的转折点，亦即地层的分界面。

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Volume 1 includes Tibetan, Qiang language, Jingpo language, Burmese branches of Tibeto-Burman family, Volume 2 the languages belonging to Yi language branch, Volume 3 the languages belonging to Dong-Tai family, Volume 4 Miao-Yao language family, Austronesian and South Asia language, Volume 5 Turkic family and Tajik, and Volume 6 Mongolic family, Manchu-Tungusic language family and Korean.

其中藏缅语族的藏语支、羌语支、景颇语支、缅语支语言合订为卷一，彝语支语言合订为卷二，侗台语族语言合订为卷三，苗瑶语族、南岛语、南亚语等合订为卷四，突厥语族和塔吉克语合订为卷五，蒙古语族、满-通古斯语族和朝鲜语合订为卷六。

It is possible that houses were outrageously priced one year ago and that they are still priced much higher than the national average.

情况有可能是，这里的房价曾贵得离谱，现在的房价仍然远高于全国的平均指数。

This is a mother's love for her child.

这是母亲对孩子的关爱。