查询词典 basis

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

In this paper, we propose a new visual cryptographic method for gray-level and chromatic images without pixel expansion. We simultaneously encrypt m successive pixels (called an "encryption sequence") each time in accordance with two basis matrices. In every m encryption sequences with b blacks, we make sure that b encryption sequences are encoded by black basis matrix, and the other ones are encoded by white basis matrix.

本研究提出一种不需要像素扩展的灰阶和彩色视觉密码的技术；我们的方法利用多点同时加密的概念，每次取连续的 m 个点做为加密序列进行加密，我们的方法可以确保在 m 个具有 b 个黑点的加密序列中，一定会有 b 个加密序列是使用黑点基础矩阵加密，另外的个则使用白点基础矩阵加密，因此在叠合影像上黑与白的变化很规律。

Sex of Dong Zhongshu 3 taste " talking to discuss human nature, offerred sex of academic basis;" to execute social Jiaohua 3 taste " talking to discuss human nature " waits for Wang Jiao and " of be apt to, pointed out who will carry out Jiaohua, how to carry out Jiaohua, the " sex that offerred Dong Zhongshu of academic basis; for social culturist the 3 objects that tasted " talking to discuss Jiaohua are medium civilian quality, teach an object to provide academic basis for establish society."

董仲舒的"性三品"论论述人性，为实行社会教化提供了理论依据；"性三品"论论述人性"待王教而善"，指出了谁来实施教化、怎样实施教化，为社会教化者提供了理论依据；董仲舒的"性三品"论论述了教化的对象是中民之性，为确立社会教对象提供理论依据。

The result indicates that the reconstruction based on differentiable basis function is better than that based on non-differentiable basis function and the reconstructions based on different differentiable basis function is approximately the same.

结果表明，对于少数投影计算机层析重建，采用连续可导的局部基函数展开比采用非连续可导的脉冲基函数展开具有更高的重建精度。

The author derives the dual functional of the Wang-Ball basis for the first time and then obtains the explicit expression of Wang-Ball basis in terms of the Bernstein basis.

作者在这里首次给出Wang-Ball基函数的对偶泛函，并由此导出从Bernstein基到Wang-Ball基的显式表示。

The contents involve the recursion algorithms, the dual functional of SBGB basis and the transformation formula between SBGB basis and Bernstein basis.

给出它们的递归算法，SBGB基函数的对偶泛函，并由此得到SBGB基函数与Bernstein基函数转换公式。

By making a thorough study of WSGB curves, the author acquires two main results, i.e., the transformation formula from Bernstein basis to WSGB basis and the construction of the dual functionals for WSGB basis functions.

利用特殊多项式的分解与展开，推导出从Bernstein基函数到WSGB基函数的转换公式。 2。构造出WSGB基函数的对偶泛函，并应用WSGB基函数的对偶泛函，得到另一种方法实现WSGB曲线与Bézier曲线的互相转化。

A Medium Term Note is a debt note that usually matures in 5-10 years, but the term may be as short as one year or as long as 50 years. They're normally issued on a floating basis such as Euribor +/- basis points. When they are issued in a Euro-currency, they are called "Euro Medium Term Notes".The notes are usually connected to a Medium Term Note Program, which is a funding program used by issuers to receive bond debt funding on a regular and continuous basis.

中期票据实际上常常与中期票据项目联系在一起，中期票据项目是一种发行人可以在某一核准额度内自主持续发行债券的融资项目，这种项目的优点是赋予发行人更大的灵活性，一旦监管部门核准该发行人某一发行额度，该发行人可以在相当长的时间内(1-2年)自主选择发行时间和期限在债券市场上融资，尽管该债券称为"中期债券"。

The basis function of the coinjection of Nitrogen and steam is increasing the displacement volume and supply the displacement energy on the basis of Nitrogen, the result of the numerical simulation showed that, after the coinjection of Nitrogen and steam (the optional aqueous Nitrogen ratio was 1: 20～1: 50), the theamal readius increased from 30m to 55m more or less, the recovery ratio increased by 5～10％. The production effect of the high cycles steam stimulation will be improved and the pattern infill will be avoided and the economic results will be improved. 4. The poor result of steamflood is another problem. On the basis of the analysis of the foamer mechanism in the propayation, movement and stabilization, this paper showed that the main meachanism of the increasing recovery of the Nitrogen foam and steamflood was the increasing displacement factor and oil displacement efficiency.

三针对蒸汽吞吐加热半径有限（一般30m左右）而蒸汽吞吐轮次已高达5轮以上的具体情况，将氮气与蒸汽混合（套管环空中注氮气，油管中注蒸汽）进行吞吐可增加加热半径1～2倍以上；在对原油流变性研究基础上，对氮气蒸汽原油体系状态进行了分析，指出了氮气在油藏中基本上是以气相方式存在；热氮混合吞吐的基本作用为扩大波及体积和提供驱油能量；在此基础上所进行的热氮混注数值模拟研究表明：蒸汽中加入氮气后（最佳汽氮比为1：20～1：50），加热半径从30m增至55m左右，采收率可提高5～10％以上，大大改善了高轮次蒸汽吞吐的生产效果，可避免大规模井网加密，提高了经济效益。

Agriculture is the basis of the national economy and food supply is the "basis of basis".

农业是我国国民经济的基础，粮食是基础的基础。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。