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Firstly, we analyze the deficiencies ofexisting ones, extend domains of fuzzy logical operators from the cap product withtwo sets to them with arbitrary (finite, enumerable, or non-enumerable) number ofsets to form two general mappings so as to conform them to the fuzzy conjunctionand infimum, and to fuzzy disjunction and supremum, respectively, and fuzzify theset inclusion of fuzzy sets. Similar to the classical adjunction, the concept of fuzzyadjunction is introduced.

首先分析了原有"模糊形态学"框架的缺陷,进而将模糊合取和模糊析取算子的定义域从两个集合的笛卡儿乘积推广到任意多个集合的笛卡儿乘积,形成两个一般的映射,使得模糊合取与下确界、模糊析取与上确界保持一致,以此将模糊集的包含关系一般化。

Under the assumption that the constrained set is bounded and nonempty , we discussed the geometric properties of the feasible set for MFBLP model and Optimality conditions of MFBLP .

在约束集为非空有界的前提下讨论了可行集的几何性质,得到了可行集为约束集的若干个面的并,可行集为弱拟凸集等一些较好的几何性质。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念,利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件,在此基础上给出了空间E〓,τ(l中紧集的特征刻画,即空间E〓,τ(l中的闭集U是紧的当且仅当U一致支集有界,且U的每个网有在(0,1上最终等度左连续、在λ=0处最终等度右连续的子网。

Taking the plate tectonics as leading theories, combining outcrop, seismic techniques, drilling and logging datum, inter-verifing manifold researching methods, The paper has amply researched the region. discussed the coupling relation of basin-mountain and the geodynamics system; analyzed geologic tectonic characteristics of the basin; confirmed superposed alteration in Mesozoic of the basin; recompartmentalized tectonic units of the researching region and the basin; studied the tectonic evolution of the basin since Mesozoic; ascertained four large tectonic layers and five tectonic evolution process stages in different ways of formation and tectonic alteration; established different tectonic stages、compages、models and sedimentary filled processes, based on the organic geochemistry and oil-gas geologic characteristics in middle Cenozoic of the basin, the conclusions have been summarized in the paper, such as:The primary source rock in lower Permian and subordinate source rock in upper Triassic are developed in the region with better quality, and secondary hydrocarbon is possible; The bearing system which is comparted by three large tectonic layers and two unconformity surfaces formed in Palaeozoic、upper Palaeozoic to Triassic and Cenozoic developing in the region, compounded with reservoirs of different lithology is developed in the region, while the property of tectonic fracture reservoir is better; Based on the analyzing petroleum accumulation elements and preserving conditions, the deep depressing belt in the north of Luoyang depression、Shiling-Yiyang folded fault belt in Yiyang depression and wide anticline belt in Yichuan depression are advantageous petroliferous region, Zhaizhen anticline in Luoyang depression and Shimen wide anticline on footwall of overthrust in Yichuan depression are optimum tectonic traps.

本文以板块构造理论为指导思想,采用露头区野外地质与盆地地震、钻井、测井资料密切结合,多种测试方法互检的研究方法,探讨了盆山耦合关系及其所控制的地球动力学系统;分析了研究区域和盆地地质结构构造特征,确定了中生代盆地的叠合改造性质,并重新划分区域构造单元和盆地构造单元,深入研究了洛阳—伊川盆地自中生代以来的构造演化;确定了成盆作用和构造改造作用的四大构造层和五期不同方式、方向的构造演化过程;建立了不同构造阶段的构造组合和样式及与构造相关的沉积充填过程;在此基础上通过多种有机地球化学指标,研究盆地中新生代油气地质特征,认为本区发育下二叠统区域主力烃源岩、上三叠统区域非主力烃源岩,两套烃源岩质量均较好,并具备二次生烃条件;认为本区发育古生界、上古生界—三叠系和新生界三大构造层、两个不整合界面分隔、不同岩性储集层叠置组合和构造裂隙型储集层的复式储集体系,其中构造裂隙型储集层储集性能较好;依据油气成藏条件和保存条件分析,认为洛阳凹陷北部深凹带、宜阳凹陷内石陵—宜阳褶断带以及伊川凹陷伊川宽阔背斜带为较有利含油气区,有利的构造圈闭是洛阳凹陷翟镇背斜和伊川凹陷的石门逆冲断层下盘的宽缓背斜

Our study bases on following environment and conditions: H-1: The measurable set-valued mapping F : X - CC is e-bounded almost lower semicontinuos

这些研究是在如下环境和条件下进行的: H-1:X是n-维Banach空间(n>1)中的有界闭凸集,且可测集值映射F:X→C_c是ε-有界几乎下半连续

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学,数学,运筹学最优化;集值映射;方向导数;线性稳定;最优解集映射;参数线性规划;参数凸二次规划;误差界;次微分映射;下局部方向Lipschitzian;上局部方向Lipschitzian;局部方向Lipschitzian;凸函数;拟微分;核拟微分;拟核;星核;星微分; Penot-微分;上导数;下导数; Epi-导数;集值优化;集值分析;集值映射的次微分;最优性条件;广义锥次类凸;ε-对偶;数乘;ε-Lagrange乘子

On the basis of sand-bodies Isopach figure drawing, the distribution of major reservoir sand-bodies of Neopaleozoic in south of North China Basin was studied. Basing on the distribution of sand-bodies in sequence stratigraphic framework, combining the development and distribution features of barrier and underwater distributary channel, there is a disquisition on the distribution regularity of pay reservoir sand-bodies of Neopaleozoic in this area.

以编制砂体等厚图的方式研究了华北盆地南部上古生界主要储集砂体的平面展布规律,并以层序地层格架下的砂体展布研究为基础,从沉积体系控制下的砂体分布特点出发,结合障壁岛与水下分流河道的发育与分布特点,系统深入地开展了区内上古生界有利储集砂体的分布规律研究。

Based on the date of outcrop, log and lithology, sequence stratigraphic division and correlation were made on Neopaleozoic in south of North China Basin, and high-precision geologic correlation framework was built up in the basin.2. In the term of sedimentary features of Neopaleozoic in south of North China Basin, lateral variation of sedimentary facies was studied selectively in Benxi-Taiyuan Formation, Shanxi Formation, Lower Shihezi Formation, Upper Shihezi Formation and Shiqianfeng Formation. Lithofacies paleographic features and the sedimentary evolutionary process of Late Paleozoic in south of North China Basin were worked also.3. On the basis of sand-bodies Isopach figure drawing, the distribution of major reservoir sand-bodies of Neopaleozoic in south of North China Basin was studied. Basing on the distribution of sand-bodies in sequence stratigraphic framework, combining the development and distribution features of barrier and underwater distributary channel, there is a disquisition on the distribution regularity of pay reservoir sand-bodies of Neopaleozoic in this area.

以露头、测井和岩性资料为基础,对华北盆地南部上古生界进行了层序地层的划分与对比工作,建立了盆地范围内的高精度地层对比格架。2、根据华北盆地南部上古生界的沉积特点,按本溪组—太原组、山西组、下石盒子组、上石盒子组和石千峰组5个层组分别开展了沉积相的横向变化对比研究,并以此为基础探讨了华北盆地南部晚古生代的岩相古地理特征及其沉积演化过程。3、以编制砂体等厚图的方式研究了华北盆地南部上古生界主要储集砂体的平面展布规律,并以层序地层格架下的砂体展布研究为基础,从沉积体系控制下的砂体分布特点出发,结合障壁岛与水下分流河道的发育与分布特点,系统深入地开展了区内上古生界有利储集砂体的分布规律研究。

In Chapter 2, we consider the error bound and the auxiliary problem algorithm for the generalized linear complementarity problem over a polyhedral cone: First, we give an absolute and a relative global error bound for GLCP and nondegenerate GLCP, respectively, and then we explore the properties of the solution set of the problem, based on which we establish another absolute and relative error bound for GLCP which is much exacter compared with the result above.

第二章主要研究了闭凸锥上广义线性互补问题的误差界及基于其上的一个求解GLCP的辅助问题算法:(1)给出了GLCP的全局绝对误差界和在有非退化解时的全局绝对误差界及其相对误差界;(2)对GLCP的解集结构进行了探讨,并利用得到的结果给出了GLCP的另一个全局绝对误差界和相对误差界估计;(3)我们提出了一个求解GLCP的辅助问题算法,并证明在适当条件下该算法具有全局收敛性。

Lithologies are mostly sand and carbonate rocks, caps are mud rock, shale and magmatite. Entrap types are anticline, fault block rebuilt by breaking and the screened entrap diapered rock mass. The composition is CO_2, N_2, CH_4, C_2H_6 and He etc. It is magma air source body and its geologic fashions are intrusion and buried volcanic conduit. The relations between gas reservoirs and gas source bodies have three types: magma intrusion-breaking-communicated gas reservoir, magma intrusion-contacted CO_2 reservoir and buried volcanic conduit-contacted gas reservoir. The CO_2 migration in magma intrusion is consisted of fusing and crystallizing phases;it in volcanic conduit is consisted of near-surface effusion and crystallizing phases.The buoyancy of CO_2 in water far more than migration resistance in breaking or chink, CO_2 is easy float upward, the floating can results in differentiation of different density gases and concentration of sealed gas. The gas in sand reservoir firstly migrate into the higher porosity and coefficient of permeability sand, and along with the pressure going up it migrate into the lower. In magma intrusion-breaking-reservoir migration, CO_2 firstly migrate into watered breaking, began gravity differentiation and concentrate, the gas pressure time and again go up, CO_2 migrate into reservoir and concentrate under expansibility as the pressure reach upward a given extend. The CO_2 in reservoir experience four breaking modes: chemistry deposition, dissolution, diffusion and mechanic breaking, the pressure balance can be broken by faulting and the CO_2 will further migrate and form new reservoir.

济阳坳陷已发现的八里泊、阳25、平方王、平南、高青、花17 CO_2气藏主要储集层位有奥陶系、中生界、沙四段、沙三段、沙一段、馆陶组和明化镇组,储集层岩性以砂岩和碳酸盐岩为主,盖层以泥质岩、页岩和岩浆岩为主。;圈闭类型主要为受断裂改造的背斜、断块及刺穿岩体遮挡圈闭。;气体成分主要有CO_2、N_2、CH_4、C_2H_6、He等。;主要气源体为岩浆气源体,气源体的主要地质形式为侵入体和埋藏的火山通道。;气藏和气源体的空间关系有岩浆侵入体一断裂一气藏沟通型、岩浆侵入体-CO_2气储集层接触型和埋藏火山通道-气储集层接触型三种类型。;岩浆侵入体CO_2气运移分为熔融运移阶段和结晶运移阶段,火山通道中CO_2气运移分成近地表喷发阶段和结晶运移阶段。;断裂中,CO_2在水中的浮力远大于运移阻力,CO_2气容易上浮,CO_2在断裂中的易浮性导致不同密度气体的分异和走向上封闭的断裂气体相对富集。;气体在砂岩储集层运移聚集具有选择性,会优先进入孔隙度和渗透率较高的砂岩,随着压力增加,才会进入孔隙度和渗透率较低的砂岩;在岩浆气源体-断裂-储集层空间输导格架下,CO_2气在膨胀力的驱动下,首先进入含水的断裂并重力分异而聚集,气体压力会不断增高,当压力增至一定程度,CO_2气会向高孔隙度、渗透率的储集层运移并聚集。;在岩浆气源体-储集层接触空间输导格架下,CO_2气受膨胀力的驱动直接向储集层运移并聚集。;成藏的CO_2气会经历化学沉淀、溶解、扩散和机械破坏四种破坏方式,会受断裂切割而打破压力平衡,沿断裂进一步运移和聚集成藏。

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