查询词典 calculus

The basic features of digital baseline estimation for multi-channel pulse height analysis are introduced. The weight-Junction of minimum-noise baseline filter is deduced with functional variational calculus. The frequency response of this filter is also deduced with Fourier thansformation, and the influence of parameters on amplitude frequency response characteristics is discussed.

介绍了用于多道脉冲幅度分析的数字基线估计方法的基本特点，利用泛函变分方法推导了最小噪声基线滤波器的计权函数，利用Fourier变换导出了数字基线估计的频率响应，探讨了参数取值对其幅频特性的影响。

The variational problems of the complete functional in calculus of variations are studied deperding on the arbitrary arguments,arbitrary multivariable functions and arbitrary-order partial derivatives of multivariable functions.

研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题；提出并证明了完全泛函的变分问题的定理，采用偏微分算子，给出了完全欧拉方程组。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

Calculus of Thermodynamics; Gibbs Fundamental Equation; Graphical Interpretation of Fundamental Surface

热力学微积分；Gibbs基本方程；基本表面的图示说明。

Their solutions are described by the fundamental theorem of the calculus,which reads as follows.

意思是：它们的解由微积分基本定理所描述，可写出如下。

The Fundamental Theorem of Calculus in Higher Dimensions; Additive Measures, Stokes Theorem and the Divergence Theorem

微积分在多维中的基本定理：加性测度，斯托克斯定理以及散度定理

Removal of calcium and magnesium cations, softened water, lower probability of human calculus, furring solve the problem.

去除水中钙、镁阳离子，软化水，降低人体结石几率，解决水垢的问题。

This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.

这给一更几何和直觉的对矢量和tensor微积分，以及广义相对论了解，比传统，更多的抽象的方法。

Because tooth after I am thoroughly pure to brush of will have inside the half an hour the new germ spot forms, can attain the biggest quantity within 30 days, as time passes namely become tooth stone calculus.

因为牙齿在彻底清刷后的半小时内即会有新的菌斑形成，在30天内可达到最大量，久而久之即成为牙结石（就和烧水壶里堆积的软垢一样）。

When tooth week the bag bag form after, alter to make piling up of food remnant, the tooth germ spot and tooth stone calculus etc., this kind of lately piles up the further breakage deeper tooth week film again, the result of thus continuous vicious cycle, eventually go to a tooth to support to organize all breakages for week almost exhausted, but make tooth difficult to escape to pull out of bad luck.

当牙周囊袋形成后，更易使食物残渣、牙菌斑和牙结石等的堆积，这种新的堆积又更进一步的破坏更深的牙周膜，如此不断的恶性循环的结果，终至牙周支持组织全部破坏殆尽，而使牙齿难逃拔除的恶运。

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。