查询词典 equivalent functions

This is a VC into the Paint program, which is equivalent to a small drawing software, commonly used functions are available.

说明：这是一个用VC写成的画图程序，相当于一个小型的画图软件，常用功能都已经具备。

In the path integral formalism, we represent the generating functional and Green functions of Φ〓 theory by taking account of that the partial and the functional derivatives commute. Also we discuss the effective action for noncommutative scalar fields, and show how the noncommutative phase factors appear in path integral formalism. We realize that the two approaches (path integral and canonical quantizations) are completely equivalent each other.

在用路径积分方法对非对易标量场进行研究时，我们利用偏微商和泛函微商的可交换性，给出了Φ〓场格林函数和格林函数生成泛函的具体表达形式，得出了非对易相因子在路径积分方法中的具体表现形式，并对连通格林函数和有效作用量等问题做了讨论。

The rigorous study of real numbers and functions of a real variable is known as real analysis , with complex analysis the equivalent field for the complex numbers .

严格的研究实数和实变量函数被称为实分析，复分析与复数的类似领域。泛函分析的重点是函数空间。分析的功能之一是许多应用量子力学。

Finally we derive the equivalent transfer functions using reduction rules and interesting important performance indices, for example, steady probability, mean first and nth passage time, mean recurrence time, the mean sojourn time, and counters of the transition and place can be find.

最后用化简规则获得等效传递函数，求出我们关心的重要参数的数值。

But we will see that the Turing machine and the RAM are equivalent from many points of view; what is most important, the same functions are computable on Turing machines and on the RAM.

但是，我们将看到，图灵机和内存相当于从许多观点；什么是最重要的是，同样的职能是可计算的图灵机和内存。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

How to process it affects the equivalent prediction of the entire conductor performance. According to the traditional composite theory, the following several predictions were carried: only consider the functions of the stainless steel conduit outside the cable body, the double insulation and the double shielding layer; the influence of the flexible cable body is neglect, so only consider the function of its internal helium tube; the material nature of the cable body is assumed the isotropism, which the elasticity modulus is 1-10 GPa (here taking 2 GPa); combining the homogenization theory with the composite damage theory.

在传统复合材料理论的基础上，对ITER超导电流传输线导体等效弹性模量进行理论预测：预测一，只考虑电缆体外的不锈钢导管、双绝缘和双屏蔽层；预测二，忽略柔性电缆体的影响，但考虑其内部氦管；预测三，假设电缆体呈各向同性，弹性模量取1～10 GPa；预测四，利用均匀化理论分析电缆体的等效弹性模量，复合材料损伤理论分析超导电缆与中心氦管之间、电缆复合体和不锈钢导管之间界面情况。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

With functions of auto control and auto slow release of the stored energy, when cleaning or spraying or insufflation lasts for 15 minutes, it takes auto inflator only around accumulated 3 minutes for clearance operation, and what the electrical consumes is only equivalent to that automobile headlight

具有自动控制、自动储能缓释的功能，当清洗或喷雾、喷洒工作15分钟，自动充气机只需间隙运行累计约3分钟，耗电量只相当于汽车大灯工作1分钟左右。

Fourth, according to the Weibull distributing functions of equivalent loads, calculated the max loads by expanded sample method, acquired eight routine loads spectrum of each roads taking advantages of the Connover classification method, calculated the respective enhancement coefficient in principle of amended Miner linear accumulated fatigue damage rule, by the comparative norm of general tar-paved road, educed the mathematical model of calculating enhancement coefficient of synthesized roads.

第四，根据各路面的等效载荷的Weibull分布函数采用扩展样本法求得了各路面的极值载荷，按照Connover的分级法得到了各路面的八级程序载荷谱。以一般沥青公路为比较基准，采用修正的Miner线性累积损伤理论，根据前桥的S-N和P-S-N关系式得到了各路面的强化系数，建立了综合路面的强化系数计算的数学模型。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？