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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。

In practical study, the essential flow is""on the basis of the study of the faults, strata denuded thickness and original thickness, analyzing the controlling effect of the faults to the sedimentation and denudation, and combined with the areal geology background, reconstructing the basin prototype of each stage"". 2. As the basic theories and methods of the calculation of the denuded thickness, such as, the methods of cosmogenic nuclides, wave equation, apatite fission track, structural sections, acoustic wave, vitrinite reflection, etc, were argued detailedly , and their applicable ranges were analyzed , the denuded strata thickness of each structural layer layer of pre-Tertiary was reconstructed.

对宇宙成因核素法、波动方程法、裂变径迹分析法、构造横剖面法、声波时差法、镜质体反射率法等计算剥蚀量方法的基本原理进行充分论证、改进,分析了各方法的适用范围,在此基础上,综合充分运用上述方法,计算了济阳坳陷前第三系各构造层在不同时期的剥蚀量,绘制了中生代时期古生界顶面的地层剥蚀量等值线图、新生代时期古生界顶面的地层剥蚀量等值线图、白垩纪沉积时侏罗系剥蚀等值线图、新生代沉积期白垩系剥蚀等值线图、新生代沉积期侏罗系剥蚀等值线图等图件,并通过对古生界地层的热变质程度分析,确定了有1500~2000m的早、中三叠世的原始沉积地层在晚三叠世被剥蚀殆尽。3。

By studying the deformation and evolutionary sequences around the Panshan granitic pluton, east-central Yanshan orogenic belt, and 40 Ar/ 39 Ar thermochronological test and analysis,we present the structural evolutionary process of the overlying strata before pluton intruded as well as it was intruding. The sequences of regional deformation are as follows: before the intrusion of Panshan granitic pluton, the N-S trend contraction in the east-central Yanshan orogenic belt took place, which resulted in the regional EW-trending Malanyu multi-fold and Jixian thrust fault; then Panshan granitic pluton intruded into the south limb of the Malanyu multi-fold and cut-through the Jixian thrust fault; later, the reactivity of the Jixian thrust fault cut off the synclines around thePans han granitic pluton.

通过对燕山东段盘山花岗岩岩体周缘构造变形特征、演化过程的研究,并结合40Ar/39Ar 热年代学测试和分析,提出盘山岩体侵位前、侵位时其上覆岩层的构造演化过程:三叠纪末(210-200 Ma)盘山岩体侵位前,燕山中东段受南北向挤压作用形成了近东西向的马兰峪复背斜和蓟县逆冲断裂;盘山岩体侵位于先期形成的马兰峪复背斜南翼,并侵蚀了蓟县断裂;蓟县断裂的后期再次活动截切了盘山岩体的周缘向斜。

If you will try to form a notion of yourself, of the sort of a something that you suspect to inhabit and partially to control your flesh and blood body, you will encounter a walking bundle of superfluities: and when you mentally have put aside the extraneous things—your garments and your members and your body, and your acquired habits and your appetites and your inherited traits and your prejudices, and all other appurtenances which considered separately you recognize to be no integral part of you,—there seems to remain in those pearl-colored brain-cells, wherein is your ultimate lair, very little save a faculty for receiving sensations, of which you know the larger portion to be illusory.

假如你试图构造出一个&你自己&的概念,构造出你觉得是在占据并部分控制你血肉之躯的这么一个东西的概念,那你就会遇上&一副行走着的皮囊&要你处理:你在脑海里会想着把这些与&你自己&无关的东西——衣裳、四肢、躯体、后天习惯、口味、先天特征、个人成见、以及分离之后你认为不是构成&你&所必需的其他部件——通通剔除出去,剩下珍珠般灰白色的脑细胞,就是&你&的老窝,但是残存其中的,除了知觉功能,好像就所剩无几了。而你知道,知觉又多半是虚幻之象。

Preliminary results show that the well-exposed relict UHP/HP eclogite-facies rocks, outlining a giant UHP/HP metamorphic belt in eastern China, provide a window into Triassic continental subduction/collision belt processes between the Yangtze craton in the south and the Sino-Korean craton in the north.

在大别-苏鲁区的30个关键位置,对UHP/HP变质岩进行详细构造解析、大比例尺(1:10000)制图并在区域尺度上进行观察和对比,以便揭示它们的构造几何学、变形条件和流变学演化。

Based on a study of characteristics of element associations and structural superimposed halos at different ore-forming stages of the Diaoquan skarn silver-copper deposit in Lingqiu County of Shanxi Province,the authors established a structural superimposed halo model for prognosis of blind ore bodies at the depth of the ore deposit.

在研究山西灵丘刁泉矽卡岩型银铜矿床不同成矿阶段元素组合及矿床构造叠加晕特征的基础上,建立了矿床深部盲矿预测的构造叠加晕模型,用模型预测,取得了很好找盲矿效果。

Thirdly, it analyzes and studies in detail Surpac mechanism and the relevant concepts on constructing the model of mineral deposits and mining engineering systems according to the modeling procedure and the actual conditions of Jinchuan"s mines. Based on these:Lit points out some differences between the western countries and China in the practice of the geological data record, explores the inputting data on computers performed by more people at the same time and the method to improve constructing the data-base and finished the data-base of Jinchuan mineral deposits;2.It puts forward the steps and flow chart to construct the solid model and brings forward the scheme of "first individual then whole to set up Jinchuan mineral deposits geological model, summarizes some experiences for constructing the complicated geological ore body of the high accuracy: add control lines, add auxiliary demarcation lines +control lines, the operation of intersection, cross and incorporation between solid bodies and plane and section combination. The above-mentioned methods applied to construct the mineral deposits solid models of four mine areas in Jinchuan; 3.lt studies and presents the detailed flow chart of constructing block and grade model, analyses the workable scheme in setting up the block and grade model of main ore body for Jinchuan mineral deposits and also sets it up.

接着,按建模流程并结合公司矿山实情,详细研究、分析了Surpac构造矿床模型和采矿工程系统模型的机理、有关概念,在此基础上:(1)指出了西方国家与我国在地质数据记录习惯方面存在的一些差异,探索出多人多机同时录入、提高建库效率的方法,建立了金川矿床地质数据库;(2)研究并提出了构造实体模型的步骤和流程图及&先分后整&建立金川矿床地质体实体模型方案,总结出建立高精度复杂地质体模型几点经验:添加控制线法、添加辅助分界线+控制线法、实体间的交、叉、并运算法及平剖面图联合法,建立了金川矿床四个矿区主矿体的实体模型;(3)研究并提出了建立块模型、品位模型详细流程图,分析了建立金川矿床主矿体块模型和品位模型的可行方案,建立了金川矿床主矿体的块模型和品位模型。

In the part of model establishment and empirical analysis, the dissertation using the international popular models, spline model and Nelson- Siegel model, to establish the zero-coupon bond yield curve in China and also analyze and appraise the result.

在模型构造及实证分析部分,论文运用现在国际上流行使用的样条函数模型和Nelson—Siegel模型构造了我国的零息票债券收益率曲线,并对估计结果作出了分析和评价。

We have observed the structure of these dune sands and analyzed the grain-size,surface textural features and several main chemical elements of them,the results showed that:(1) these dune sands have some eolian structure characteristics which are similar to the recent dune sands;(2) they are also similar to the recent dune sands in grain-size components,and parameters of Mz,?滓,Sk and Kg,as well as in several main chemical components;(3) the scatter plots of Mz-?滓,SiO2-Al2O3+TOFE and the probability curves of grain-size showed that these paleo dune sands are different from paleosols and fluvio-lacustrine facies but are consistency with recent dune sands;and(4) the quartz sands have well roundness and some surface textural features such as dish-shape pits,crescent-shape pits,pockmarked pits,upturned cleavage plates,siliceous precipitates and siliceous crevasses,indicating that they had been carried for a long time by the wind.

对这些沙丘砂的沉积构造观察以及粒度、扫描电镜和常量化学元素分析结果表明:(1)这些沙丘砂具有与现代沙丘砂相似的风成沉积构造特征;(2)粒度及其参数--Mz、σ、Sk和Kg,以及主要化学组分SiO2、Al2O3和TOFE也与现代沙丘砂相近;(3)Mz-σ、SiO2-Al2O3+TOFE散点图和概率累积曲线显示这些沙丘砂与萨拉乌苏组中的河湖相、古土壤差别明显,而与现代沙丘砂一致;(4)石英砂颗粒具有良好的磨圆以及碟形坑、新月形坑、麻坑、上翻解理薄片、硅质沉淀和硅质裂纹等表面结构特征,反映其曾受持久的风力搬运作用。

The results of the study indicate:(1) the stress, strain and velocity fields as well as the uplift rates of the model are consistent essentially with those of the prototype in nature;(2) the major driving force for intraplate tectonic deformation in central-eastern Asia results mainly from the compression of the Indian plate;(3) the existence of the RSBs, such as those of Tarim, Alxa, Ordos and Sichuan basin, is one of the basic origins for the development of large-scale compressional basins and the table-like uplift of the Qinghai-Tibet plateau;(4) The netlike plastic-flow in the lower lithosphere is faster than the displacement in the upper layer, controlling the tectonic stress and deformation fields in the upper crust;(5) the weakness layer distributed discontinuously in the middle crust influences the level of difference between the stress directions in the lower lithosphere and those in the seismogenic layer.

研究结果表明:(1)模型中的应力场、应变场、位移速度场和地表隆升速率,与自然条件下的实际状况基本相符;(2)中东亚板内构造变形的驱动力源主要来自印度板块的推挤作用;(3)塔里木、阿拉善、鄂尔多斯、四川盆地等相对稳定块体的存在是促成大型压性盆地形成和青藏高原平台式隆升的基本原因之一;(4)岩石圈下层的网状塑性流动超前于上层,控制上层的构造应力场和变形场;(5)中部地壳的非连续分布软弱层影响上、下层之间应力方向的差异程度。

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推荐网络例句

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性,但我大喊,并在他们的方向扔石头让他们过的线索,远离我,以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。

Store this product in a sealed, lightproof, dry and cool place.

密封,遮光,置阴凉干燥处。