查询词典 equivalent functions

The coefficients are Fourier coefficient s to the moment when the orthogonal functions are complex exponential functions.

若正交函数为复指数集，其系数正好是傅里叶系数。

Lommel functions was used to represent the coefficients of ideal digital fractional differentiator, according to the relationship between two kinds of Lommel functions and the basic properties they each has, a new fast algorithm for coefficients of ideal digital fractional differentiator was presented.

利用Lommel函数表示理想数字分数微分器的系数，根据两类Lommel函数之间的关系和它们各自的基本性质给出理想数字分数微分器系数的一种新的快速算法。

All the most commonly used special functions are included: Bessel functions, Fresnel integrals, etc.

所有最常用的特殊功能包括：贝塞尔函数，菲涅耳积分等

78X-2B four functions tablet tester is a new innovate designed production which have four functions including test tablet's hardness, friability, dissolution and disintegration.

78X-2B型片剂四用测定仪，是我公司开发的新产品，该仪器集药物片剂的硬度，脆碎度，溶出度和崩解度四种功能于一体。

In the process some frontage functions are weakened by some negative functions.

学校德育活动对个体的道德品质发展和社会的道德风气所起的影响不可能全部在学校教育的时间内完成和体现。

It includes the definition of two basic operations, logical functions expansion and matrix formulation in OR-Coincidence algebra system, and the introduction of map expression--dj map, the complete research of the relations among CRM expansion^ maxteim expansion and RM expansion, iiamely tie relations among dj map, K-map and bj map, also includes the minimization of CRM expansion in fixed and mixed polarities-Meanwhile this dissertation points out the form and properties of basic symmetric function, simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

包括连和与加合两种基本运算的定义，逻辑函数在或、符合代数系统里的展开式及矩阵表示式，展开式图形表示--d_i图的引入，对CRM展开式和最大项展开式、RM展开式，d_i图和K图、b_i图之间的关系及转换方法进行了较为全面的研究，以及CRM展开式在固定极性和混合极性下的最小化问题。

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。

Section 1 fOrigin of world economic organization, elucidating the trends ofinternational economy integration and the global and regionaldevelopment trends today.Section 2 fThe styles and functions of the worid econoAnc organization, thevicissitude in line of environments, times and their structuralfunctions in those organizations fOrmed to help solve investment,finance and trade related problems, e.g., Intemational Monetary Fund, Worid Bank and frOm Intemational Trade Organization, General Agreement on TariffS and Trade GArn to WoridTrade Organization (WTO,These organizations are incrcasinglyinterrelated in functions.ChaPter ThxefDeveloPment of trade in services.

第贰章为世界经济组织的发展，第一节为世界经济组织的缘起，阐述国际经济整合的趋势及现今全球性与区域性的发展现势；第二节世界经济组织之型式与功能，为解决投资、金融、贸易设立的国际货币基金（International Monetary Fund，IMF）、世界银行（World Bank，WB）和从国际贸易组织（International Trade Organization，ITO）、关税暨贸易总协定（General Agreement on Tariffs and Trade，GATT）到世界贸易组织（World Trade Organization，WTO）一路的衍化及随著时代环境变迁，其结构性功能转变，应益加密切相互关联。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

The filial piety culture not only has the functions to inherit filial piety, moralize folk minds, and build the harmonious society, but also can be changed into business, and has the functions to gestate and produce the economical industries.

孝文化不仅具有传承孝德、教化民心、构建和谐社会的功能，而且可以"以文化商"，具有孕育和生长经济产业的功能。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。