查询词典 equivalent functions

The upper-bound counts and the lower-bound counts of Bent functions are proposed by researching the Hadamard matrix, which decrease the searching space of Bent functions.

通过正规Hadamard矩阵研究给出了GF(2~n)上Bent函数计数的上下界，降低了Bent函数搜索的空间。

For a quantized subgroup of the symmetry group of Hamiltonian of a molecule,a site projection operator is defined to produce symmetry-adapted wave functions from the functions with the symmetry of the subgroup.

对于哈密顿的对称群的量子化子群，可以定义一个位置投影算子，来从具有该子群对称性的轨道产生完全的对称性匹配轨道。

This problem involved many objective functions which had contradictions mutually and could not reconciled. According to different engineering requirements, the weighted and harmonic coefficient of each objective function was decided, and then it was changed to a single-objective optimization function. Engineering requirements on the system and related restrictions were given with the form of binding functions.

考虑问题所牵涉到的多个互相矛盾不可公度的目标函数，根据不同的工程要求，结合实践经验和计算经验确定各个目标函数的加权协调系数，然后将其表示为一个单目标优化函数；工程条件对系统的要求和相关限制，以约束函数的形式给出。

The exact Hausdorff-type measures of its image set and graph set are provided and it is proved that the usual Hausdorff measure functions for its image set and graph set are still correct measure functions.

在一定条件下，通过一些更小的测度函数给出了象集和图集的有限正的Hausdorff型测度。

On the other hand, when we are proving the upper bounds of the Hausdorff measure functions for the level sets, although we get the answer to the cases for the symmetric processes, we had to consider multi-integral of highly dimensional functions, the proof is quite complex. Therefore, we suggest that the proof for the corresponding problem needs some new ways.

另一方面，我们在证明严格稳定过程的水平集的Hausdorff测度函数的上界时，虽然我们得到了对称的多参数稳定过程的水平集的Hausdorff测度函数上界，但是我们的方法必须考虑多重的高维积分，其证明过程也已经相当复杂，因此，我们认为，为了得到一般的严格稳定过程的水平集的Hausdorff测度函数上界，还需要引入其它新的研究方法。

The special lamination of polyethylene and aluminum foil which has good function on reflecting light and thermal makes the heat insulation not only has good functions on insulation, thermal reflection, heat protection, counter radiation but also has good functions on moisture proof and heat insulation and energy saving when used as building material roof, wall and floor etc.

通过镀铝膜材料反光、热的特性和聚乙烯材料的结合，使其不仅具有良好的绝缘、热反射、隔热、反辐射功能，而且还通过该材料的特性在房屋建筑应用上能起到很好防潮、保温、节能作用。

Because we mainly involve visual fields of medical science , have placed more contents on the development in the field of medical image of visual technology and argumentation used. Second part It is the visual technology knowledge, the generalization in such respects as the basic principle , basic functions, function store and three-dimensional animation technology to OpenGL ,etc. The realization of the system using OpenGL functions finish that three-dimension demonstration. The third part It is number value that calculate knowledge, three-dimension rebuild technology is it is it is it punish to fit to go on to need, the research of interpolator technology that cant leave, So this part has quoted the Hermite function principle , define cubic Hermite function to begin, calculate the differential coefficient among them draws cubic spline again.

由于我们主要是涉及医学可视化领域，所以将更多的内容放在了可视化技术在医学影像领域的发展与应用的论述；第二部分是可视化技术方面的知识，主要对 OpenGL 的基本原理、基本功能、函数库及三维动画技术等方面的概括，在系统实现时就是通过调用 OpenGL 函数库实现三维显示的；第三部分是数值计算方面的知识，三维重建技术需要进行拟合处理，离不开插值技术的研究，所以这一部分从埃尔米特函数原理开始讨论，引入三次埃尔米特函数，进一步计算时又引用三次样条函数。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

It is a computer control system with the high speed DSP single-chip computer TMS320VC33.The count functions of the signal of accelerometers and the signal of odometer have been designed with CPLD,and the communication functions have been achieved with peripheral equipment.

整个系统是以数字信号处理单片机TMS320VC33为核心的单CPU结构的计算机系统，CPLD的设计主要是实现对加速度计和里程表的输出信号的计数及实现DSP与外部的通信。

Among them, the antioxidant compounds can effectively remove free radicals and esters peroxygen compounds inside the body, and interdict the powerful cancerogenic substance N-ammonium nilrite compounds. It can not only greatly enhance the body's immunity, but also with effective functions in moisturizing the skin, anti-fatigue and anti-aging; the bamboo fiber contains the amino acid necessary for human body, having distinctive health-care functions on the skin; the bamboo cellulose, bamboo honey and pectin have the effects of moisturizing the skin and fighting fatigue. They can increase the body's microcirculating blood, activate the histiocyte, enable the body to produce heating effects, effectively regulate the nervous system and unclog the meridian; the bamboo fiber has no free electric charge, antistatic and relieves itching.

其中，抗氧-化合物能有效清除体内的自由基和酯-过氧化合物，阻断强致癌物质N一亚-酸氨化合物，不仅能显著提高机体免-能力，而且具有滋润皮肤和抗疲劳、-抗衰老的生物功效；竹纤维含有多种-体必需的氨基酸，对皮肤具有独特的-健功能；竹纤维素、竹密、果胶具有-滋润皮肤和抗疲劳的功效，能增加人-的微循环血流，激活组织细胞，使人-产生温热效应，能有效调节神经系统-，疏通经络；竹纤维不带自由电荷，-静电，止瘙痒。

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？