標(biāo)題: Titlebook: Lectures on Mathematical Theory of Extremum Problems; Igor Vladimirovich Girsanov,B. T. Poljak Book 1972 Springer-Verlag Berlin · Heidelbe [打印本頁(yè)] 作者: 請(qǐng)回避 時(shí)間: 2025-3-21 19:07
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作者: Scintillations 時(shí)間: 2025-3-21 21:02 作者: 組裝 時(shí)間: 2025-3-22 03:28
Sufficient Extremum Conditions,assumptions, the necessary extremum conditions are also sufficient, in an important class of extremal problems — convex problems. Sufficient conditions for non-convex problems can probably be formulated in terms of the second variation. However, results in this field are as yet quite sporadic, and we shall not dwell on them here.作者: GENRE 時(shí)間: 2025-3-22 06:11 作者: Limpid 時(shí)間: 2025-3-22 11:49 作者: 撤退 時(shí)間: 2025-3-22 15:37 作者: 不連貫 時(shí)間: 2025-3-22 17:59 作者: Estimable 時(shí)間: 2025-3-22 22:24 作者: 防銹 時(shí)間: 2025-3-23 04:57 作者: CURL 時(shí)間: 2025-3-23 09:01 作者: 姑姑在炫耀 時(shí)間: 2025-3-23 12:25 作者: aggravate 時(shí)間: 2025-3-23 16:03 作者: IRATE 時(shí)間: 2025-3-23 19:25 作者: 立即 時(shí)間: 2025-3-23 22:52
Topological Linear Spaces, Convex Sets, Weak Topologies,We shall assume that the space in which the extremal problem is to be solved is a topological linear space. We briefly recall the relevant concepts.作者: Collected 時(shí)間: 2025-3-24 04:28
Hahn-Banach Theorem,We shall now discuss the Hahn-Banach Theorem, which is the basic tool in the subsequent analysis. We shall not present proofs of the theorems, since they can be found in the extensive literature on functional analysis.作者: eucalyptus 時(shí)間: 2025-3-24 07:24 作者: BADGE 時(shí)間: 2025-3-24 11:01
Necessary Extremum Conditions (Euler-Lagrange Equation),We have now prepared sufficient auxiliary material to enable us to proceed to analysis of extremum problems.作者: 否決 時(shí)間: 2025-3-24 18:52 作者: sterilization 時(shí)間: 2025-3-24 21:53
Feasible Directions,We shall now describe how to determine the feasible directions. Throughout this lecture, K . at a point x. for a set Q in a topological linear space.作者: Occipital-Lobe 時(shí)間: 2025-3-25 01:12 作者: Crumple 時(shí)間: 2025-3-25 03:57 作者: 王得到 時(shí)間: 2025-3-25 11:02 作者: 增強(qiáng) 時(shí)間: 2025-3-25 12:02
Sufficient Extremum Conditions. Examples,We now apply the results of the preceding lecture to various problems.作者: Biguanides 時(shí)間: 2025-3-25 17:26 作者: 藐視 時(shí)間: 2025-3-25 20:52
Introduction,systematized and brought together under the heading of the ., with its innumerable applications to physics and mechanics. Attention was devoted principally to the analysis of . and . defined over the entire space or restricted to some smooth manifold. The extremum conditions in this case are the . (作者: 動(dòng)物 時(shí)間: 2025-3-26 03:42
Supporting Hyperplanes and Extremal Points,e closed hyperplane . is called a . for A at the point x.. The geometric sense of a supporting hyperplane is quite simple: the set A lies on one side of the hyperplane and cuts it in one point x. (Fig. 5).作者: gorgeous 時(shí)間: 2025-3-26 05:40 作者: LATE 時(shí)間: 2025-3-26 09:56
Calculation of Dual Cones,plication of the Dubovitskii-Milyutin theorem to determine necessary conditions for an extremum, it remains to show how one constructs dual cones, This we now proceed to do. Some results in this connection were presented in Lecture 5 (Lemmas 5.2 to 5.10).作者: Conscientious 時(shí)間: 2025-3-26 15:09 作者: adjacent 時(shí)間: 2025-3-26 18:35
Sufficient Extremum Conditions,re also sufficient. Of course, elementary examples show that in general this is not true. Nevertheless, we shall prove that, under certain additional assumptions, the necessary extremum conditions are also sufficient, in an important class of extremal problems — convex problems. Sufficient condition作者: Fracture 時(shí)間: 2025-3-26 23:12 作者: indubitable 時(shí)間: 2025-3-27 02:43 作者: habile 時(shí)間: 2025-3-27 06:11
Igor Vladimirovich Girsanov,B. T. Poljak don‘t prepared composites show less fatigue than the pure pThe results in this dissertation set the ground to answer a fundamental question in data-driven polymer material science: "Why don‘t prepared composites show less fatigue than the pure plastics?" A simultaneous analysis of mechanical testin作者: endoscopy 時(shí)間: 2025-3-27 10:17 作者: 比目魚(yú) 時(shí)間: 2025-3-27 14:04
Igor Vladimirovich Girsanov,B. T. Poljakis.Provides new insight into the structural behavior of natu.This thesis offers novel insights into the time-dependent structural evolution of polymers under deformation. In-situ tensile experiments at high-brilliance synchrotron sources allowed to characterize the material with unrivaled resolution作者: accordance 時(shí)間: 2025-3-27 20:50 作者: progestogen 時(shí)間: 2025-3-28 00:45 作者: 暗諷 時(shí)間: 2025-3-28 02:20 作者: 采納 時(shí)間: 2025-3-28 08:16
Igor Vladimirovich Girsanov,B. T. Poljakchniques.Demonstrates that application of synchrotron and neThis book provides an insight into current research topics, focusing special attention exactly on welding issues. The presented research work demonstrates that application of synchrotron and neutron radiation in combination with other techn作者: GLEAN 時(shí)間: 2025-3-28 11:53
Igor Vladimirovich Girsanov,B. T. Poljakrocessing takes place in open cells. Consequently, many “trivial” thermoelectrochemical investigations in open cells, at moderate temperature variation, have been described. The majority of such studies are dedicated to the improvement of efficiency [1–26]. Deposition of metals, among them copper [1作者: 冰河期 時(shí)間: 2025-3-28 15:57 作者: 減去 時(shí)間: 2025-3-28 21:52 作者: bile648 時(shí)間: 2025-3-29 02:01 作者: 咒語(yǔ) 時(shí)間: 2025-3-29 06:10
Igor Vladimirovich Girsanov,B. T. Poljaksed geopolymer mortar. Initially, the WPSA samples were been analyzed using X-ray Fluorescence (XRF) to determine the chemical composition. From the XRF analysis, the by-product WPSA manufactured from Malaysian Newsprint Industry (MNI), located at Mentakab Pahang, Malaysia containing higher amount o作者: Gum-Disease 時(shí)間: 2025-3-29 09:18
Igor Vladimirovich Girsanov,B. T. Poljakch PSC sleepers cannot be utilized, where timber sleepers are still needed. Due to limited supply of large sections timber logs and high cost in high grade timber, an alternative for this timber product is needed. Thus, this study is conducted to determine the ultimate strength of the alternative ti作者: acrimony 時(shí)間: 2025-3-29 14:22 作者: nonradioactive 時(shí)間: 2025-3-29 17:42 作者: correspondent 時(shí)間: 2025-3-29 23:31
Igor Vladimirovich Girsanov,B. T. Poljakics in 3D architectures. Local strains can be computed along different orientations, providing information about the degree of isotropy/anisotropy in microstructure response. DIC mapping is employed to examine crystallographic slip and lattice rotation during mechanical deformation. The chapter intr作者: Genistein 時(shí)間: 2025-3-30 02:41 作者: GREG 時(shí)間: 2025-3-30 06:31
Igor Vladimirovich Girsanov,B. T. Poljakexamples. The obtained results illustrate that the interactions of their components can cause unpredictable structural effects, ultimaltely leading to a weakening of the material, where a reinforcement was expected.978-3-662-52346-9978-3-642-35413-7Series ISSN 2190-5053 Series E-ISSN 2190-5061 作者: 厭食癥 時(shí)間: 2025-3-30 11:31 作者: 隱士 時(shí)間: 2025-3-30 16:16
Igor Vladimirovich Girsanov,B. T. Poljaker of austenite once the temperature reaches the inter-critical (α?+?γ) region. It is also observed that a significant amount of austenite (6–7%) was found to be retained at room temperature despite a high cooling rate (>20°C?s.). Even after cooling the samples to room temperature, austenite was fou作者: Neolithic 時(shí)間: 2025-3-30 17:43 作者: 軍火 時(shí)間: 2025-3-30 22:29
Igor Vladimirovich Girsanov,B. T. Poljakportant partial processes as hydrogen electrosorption [17] or lithium ion intercalation into graphite [18]. Deposition processes have been investigated by means of the electrochemical quartz microbalance under temperature variation [19]. Uncommon electrode materials were single crystal platinum [20]作者: SHRIK 時(shí)間: 2025-3-31 04:04
Igor Vladimirovich Girsanov,B. T. Poljakymbol . denotes the distance from the hottest place. Both profiles can be calculated as given below, and both are very important for the interpretation of electrochemical results in cells with heated interfaces. Knowledge of the profiles can answer important questions, among them the question which 作者: 多樣 時(shí)間: 2025-3-31 07:54 作者: 線 時(shí)間: 2025-3-31 11:26
Igor Vladimirovich Girsanov,B. T. Poljakreich der ?rztlichen Haltung und Tugenden, die für alle ?rztlichen Handlungen verbindlich sind, unabh?ngig von den sich st?ndig neu entwickelnden Problemen. Das folgende Kapitel will die Entwicklung der IVF unter dem Aspekt der ethischen Richtlinien betrachten, die bei der Einführung der IVF existie作者: gerrymander 時(shí)間: 2025-3-31 14:04
Igor Vladimirovich Girsanov,B. T. Poljakconcentration of NaOH increased, the compressive strength of geopolymer mortar increases. However, the optimum NaOH concentration of WPSA geopolymer mortar is at 12?M. More than 12?M concentrations of NaOH were produced high porosity and decreasing the strength. The range of Na.SiO. to NaOH solution作者: 不利 時(shí)間: 2025-3-31 20:50 作者: 流動(dòng)性 時(shí)間: 2025-3-31 22:57
ompressed with wood dowel has not be investigated for tropical timber. Therefore this study is aimed to investigate the capability of the ‘Spring Theory’ for 12.7?mm wood dowel. ‘Spring Theory’ is about the combination result of wood dowel compressed with steel block (WDCSB) and wood block compresse作者: 鄙視 時(shí)間: 2025-4-1 02:35
0075-8442 ofs of the fundamental theorems. ) Girsanov‘s book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of ne978-3-540-05857-1978-3-642-80684-1Series ISSN 0075-8442 Series E-ISSN 2196-9957 作者: CUR 時(shí)間: 2025-4-1 09:16 作者: 一夫一妻制 時(shí)間: 2025-4-1 13:11
