可构造的
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First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.
文中首先对现有的多元多项式插值方法作了一个介绍和评述,在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题:给定n维仿射空间K~n中两两互异的点A_1,A_2,…,A_m,在结点A_i处给定函数值f_i(i=1,…,m),构造多项式p∈K[X_1,X_2,…,X_n],满足Lagrange插值条件:p=f_i,i=1,…,m (1)其中X=(X_1,X_2,…,X_n),与一元情形相似地,本文证明了定理满足插值条件(1)的多项式存在,并且按"序"最低的多项式是唯一的,上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出,Lagrange插值另一种描述是:按序从低到高给定单项式ω_1,ω_2,…,ω_m,对任意给定的f_1,f_2,…,f_m,构造多项式p,满足插值条件:p=sum from i=1 to m=Ai=f_i,i=1,…,m (2)如果插值多项式p存在且唯一,则称插值问题适定。
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The C++ Standard says that an STL element must be "copy-constructible" and "assignable."
C++标准中说一个 STL 元素必须是可复制构造(copy-constructible)和可赋值的。
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Based on the theory of Sequence Stratigraphy and the systematically analysis of strata which was closely focused on Lithostratigraphy, Biostratigraphy, Paleoecology Event Stratigraphy and Sequence Stratigraphy, four long-term base-level cycles can be recognized in the Mesozoic, each long-term base-level cycles can be further divided into intermediate-term to short-term base-level cycle. Eight intermediate-term base-level cycles are recognized in Mesozoic; Cenozoic can be divided into two structural base-level cycles, and can be further divided into seven long-term baselevel cycles.
应用层序地层学理论,在详细的岩石地层、生物地层、生态地层、事件地层和层序地层为核心的综合地层研究基础上,将中生界划分为四个长期基准面旋回,每个长期基准面旋回内部又可进一步识别出更次一级的旋回,侏罗系内部共可识别出8个次级旋回;根据钻井层序地层与地震地层划分结果,将北缘地区新生界划分为两个构造基准面旋回,其内部又可进一步划分为7个长期基准面旋回。
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Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.
再次,应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式;然后,在这些拟范数不等式的基础上,应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。
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The paper studied a lot of todays identity management related technologies and standards, analyzed the characteristics of the J2EE application and its security system , used some design patterns such as builder patterns、proxy patterns and factory patterns, combined SAML standards and raised the following patterns: assertion builder pattems、SSO delegator patterns and credential tokenizer patterns. These patterns not only improved the compatibility and portability of enterprise identity management but also reduced system design and development complexity effectively.
本文大量研究了当今身份管理的相关技术和标准,分析了J2EE应用的特点及其安全体系,在此基础上运用了构造器模式、代理模式以及工厂模式等设计模式的思想,结合SAML标准提出了断言构造器模式、单点登录模式和凭证令牌化器模式等三种通用的身份管理模式,提高了企业身份管理层的兼容性和可移植性,同时有效降低了系统设计和开发的复杂度。
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Simple frames are powerful for the construction of simple Kirkman packing designs, which can he used in the construction of uniform designs in statistics.
单纯的支架对构造单纯的可分解填充设计有很重要的作用,后者可以用来构造统计学中的均匀设计。
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Modification of Simple Formula on Bonds Yield to Maturity;2. Application of Real Option in the Credit Management of Bonds;3. This paper analyses the investing value and speculating value of covertible bonds according to the features of their liability contracts and stock call option.
从可转换公司债券的债务合约特征和股票看涨期权特征出发,分析了其投资价值和投机价值,从而构造出可转换公司债券的投资收益曲线;阐述了可转换公司债券投资的最小值原理,对其投资收益的评估进行了讨论;分析了影响可转换公司债券的基本因素及其随这些因素而变化的基本规律。
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The main characteristics include: the quiet Sun corona has a rapid response to the flare heating, within 2 second the corona temperature increases nearly one order of magnitude, but later such increase becomes very slowly; the downward velocity at early stage of impulsive phase is too small to be negnected; chromospheric evaporation made by conduction shows some intensely, the maximum evaporated velocity may be as large as 1000 km/s; the chromospheric condensation appears just when the chromospheric evaporation takes place and its place always coincide with that of transition region in the early stage; the maximum of chromospheric condensation occurs also in the early stage of impulsive phase, at which the density in condensation may be larger two order of magnitude than that of surround and the downward velocity may be as large as 100 km/s; after the maximum of chromospheric condensation, its strongth decreases gradually but its width becomes greater with time and have a tendency to transport into deep chromosphere; the front of chromospheric condensation heats atmosphere obviously and the temperature in the chromospheric condensation is higher than the original case; the downware velocity of transition region may be greater than 100 km/s at the early stage; when the evaporated material collide at the top of loop, the densityand the presure there increase rapidly, which result in the formation of a shock wave; and so on.
在改善色球辐射损失和精确分辨过渡区的基础上,通过联立求解连续性方程、动量方程和能量方程,构造了一维磁限制性耀斑环在热沉积作用下的大气动力学模型,获得了耀斑热模型下脉冲相早期较为细致的大气演化理论图象,其主要特征是:耀斑对宁静日冕的加热相当迅速,仅2秒钟日冕温度增加即达一个量级,之后日冕温度增加缓慢;脉冲相早期日冕向下速度很小,几乎可以忽略,热传导驱动色球蒸发,其过程较为激烈,蒸发极大速度可达到1000km/s;色球压缩区与色球蒸发几乎同时形成,且在早期其位置总是与过渡区位置重合;色球压缩极大发生在脉冲相早期,其时密度可高于周围约2个量级,向下速度可超过100km/s;色球压缩极大后,其强度逐渐减弱,但宽度明显增大,且渐渐脱离过渡区往色球传播;压缩区内物质温度要高于原先的大气温度;过渡区下降在脉冲相早期相当迅速,可超过100km/s;当蒸发物质在环顶高速相碰时,环顶的密度、压力迅速增大,且温度也有所增加,导致形成激波,其波面以每秒上百公里的速度自环顶向下传播;在脉冲相前期,日冕软x辐射对色球的加热作用可以忽略;等。
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In the third chapter,We study some geometric properties and spectral propertiesof the Jacobi operator on a solvable extension G of Heisenberg groups H.In the firstsection,we give the definition of G and some fundamental geometric properties on G.Inthe second section,we discuss the Integrability of certain subbundles and the geometricstructure of the induced foliations in case of integrability.In the third section,we studythe spectral properties of the Jacobi operator of G.
可解李群与类对称空间亦密切相关,Damcek-Ricci空间即是广义Heisenberg的一可解扩张李群,在第三章中,我们构造且研究了Heisenberg群的一可解扩张李群G的几何性质,第一节讨论了G的曲率,李指数映射,整体坐标等基本几何性质;第二章研究了TG的某些子丛的可积性及可积时诱导叶片的几何结构;第三节给出了G的Jacobi算子的特征值和相应的特征子空间。
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Based on these and followed by proper reservoir classification and characteristics analysis,this paper established the methods for reservoir description of subtle pool with complex fault blocks,by which the main trap within the belt could be divided into fault block trap,structural trap and subtle trap which includes sand lens trap,lithologic updip thinning out trap,structural-lithologic trap and fault lithologic trap. For self-confined fault controlling oil flow,its height of oil column can be estimated by utilizing R.R.
在此基础上,通过油藏的具体分类和特征分析,建立了复杂断块隐蔽油藏的储集层和油藏描述方法;将东营凹陷中央隆起带中的主要油气藏划分为断块圈闭、构造圈闭和隐蔽圈闭,其中隐蔽圈闭包括砂岩透镜体圈闭、岩性上倾尖灭圈闭、构造-岩性圈闭、断层-岩性圈闭四类;提出在控油断层自密封的情况下,油藏高度可采用R.R。
- 推荐网络例句
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With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.
随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。
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But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.
不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐,因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。
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Closes the eye, the deep breathing, all no longer are the dreams as if......
关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。