查询词典 variation of a function

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

On the basis of variation characteristics of ship speed error model, a ship speed regulator using the on-line adaptive error model is proposed in this paper. The control scheme is based on back propagation multi-layer perceptrons adaptive neural network in which a modified hyperbolic tangent function is used as the activation function of an auto-tuning neuron and is updated by the steepest descent method.

在分析船舶航速误差模型变化特性的基础上，应用激励函数的自适应神经网络和最陡下降法的非线性优化技术，提出了自适应学习误差模型控制方法，应用于船舶柴油机调速器控制系统。

Under the limiting constrained conditions, an attempt to improve ship hull form of minimized wavemaking resistance is described by taking improved Michell integration as an object function and UV as an optimized design variable that is a mapping transformation function for the harmonizing and the fairing of the form variation.

在极限约束条件下，基于船体型值与UV度的映射函数，用UV度作为优化设计变量，以改进的Michel积分为目标函数，求得具有很好的协调性和工程光顺性的最小兴波阻力船型。

The method of estimation in paper [7] is to build fitness function by the 2-norm of error matrix directly. For the error matrix is a Toeplitz matrix, a novel fitness function was presented. Then a new method, the real-valued genetic algorithm which is based on genes weights variation independently, is developed in this paper.

文献[7]提出的估计方法直接以误差矩阵的2范数建立适应度函数，文中利用该矩阵是Toeplitz矩阵的特性，构造了一个新的适应度函数，提出了一种基于基因分量独立变异的实数遗传算法。

The surface zeta potential＇s variation of the hard kaolins as a function of pH is almost the same asthat of the soft kaolin.

摘 要：研究了硬质和软质高岭土中的高岭石晶体结构、晶体形态与表面性质之间的关系及其对浮选行为的影响。

C. PALS measurements were performed for dynamically cured EPDM/PP blend as afunction of composition. The variation of free volume properties is compared with themechanical properties, and we preliminarily discuss the internal correlation betweenthem. 2. Natural polymer and its 〓 modified system PALS measurements were performed on pure chitosan and 〓-containingchitosan as a function of temperature from 290K to 380K.

c。研究了不同组分比的动态硫化乙丙橡胶／聚丙烯共混物的自由体积特性，观察到两相之间的部分相溶程度随着组分的变化而改变， D MTA、DSC的结果也证实了上述结论，与力学性能等实验结果进行比较得到了共混物的相溶性与宏观力学性能的内在联系。2。

Common examples are pulmonary function tests, which have well-established normal ranges, but are quite dependent on patient effort; nerve and muscle function tests, which are largely effort-independent and have reasonably well-established reference ranges, but are sensitive to interlaboratory variation, and electrocardiograms, which are interpreted with a combination of objective measures and more subjective recognition of patterns resulting from inidividual expertise.

举些常见的例子如肺功能检测，虽已经建立了非常成熟可靠的正常值范围，但还需要病人的努力配合；神经与肌肉功能检查，跟病人是否努力配合无关，而且有相当可靠的参考范围，但易受实验室间差异的影响；心电图检查，虽然属于客观检查方法，但对其认识水平会因个体的专业技术水平而有差异。

The theories proposed by Wilson (1994) were adopted to describe the fundamental behaviors of temperature and variation of suction of soil. The Darcy's law and Pick's law described the flows and evaporation of water respectively. Some proposed assumptions including the characteristic curve of volumetric water content and hydraulic conductivity were only related to the suction of unsaturated soil. The coefficient of latent heat for water was a linear function of temperature; and the heat conductivity was calculated according to the equation proposed by De Vries.

对于土体的温度和吸力变化特征，采用Wilson提出的理论加以描述，在此理论中，分别利用Darcy和Fick定律描述水和蒸汽的流动规律，土水特征曲线和水力传导系数假定仅仅相关于非饱和土吸力，水的潜热系数是温度的线性函数，温度传导系数采用De Vries建议方程加以计算。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。