多目标规划弱有效解的一个必要条件

针对具有等式和不等式约束的多目标规划的弱有效解，在相对较弱的条件下给出了一个介于著名的Fritz—John条件与Kuhn—Tucker条件之间新的必要条件。     

次可微函数的一阶最优性条件

讨论了具有等式与不等式约束条件的次可微优化问题的一阶最优性条件．在等式约束只有一个的情形下．给出了ＦｒｉｔｚＪｏｈｎ必要条件．并在一定凸性假设下．讨论了Ｋｕｈｎ－Ｔｕｃｋｅｒ必要条件和充分条件．     

黎曼流形上Fritz John必要最优性条件

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念,利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则,证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素,并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件.     

非凸多目标规划的Fritz John最优性条件及对偶定理

给出了Ｆ－凸函数与不变凸函数的等价性，然后在引进Ｈａｎｓｏｎ－Ｍｏｎｄ型凸性的基础上，讨论了非凸多目标规划的ＦｒｉｔｚＪｏｈｎ型充分性，同时给出了几组充分性条件，并建立了Ｍｏｎｄ－Ｗｅｉｒ型对偶定理．     

多目标主从向量集值优化Benson真有效解的最优性条件

借助 Aubin的 Contingent切导数建立了可微多目标主从向量集值优化弱 Benson真有效元的Fritz-John型最优性条件.     

多目标minimax问题的极大熵方法及其收敛性

研究了多目标ｍｉｎｉｍａｘ问题的极大熵方法的构成．在较弱的条件下证明了极大熵方法导出的多目标逼近问题的ＦＪ点列的任一极限点均为原多目标ｍｉｎｉｍａｘ问题的ＦＪ点     

Weyl’s ‘agens theory’ of matter and the Zurich Fichte

This paper investigates Hermann Weyl’s reception of philosophical concepts stemming from the German Idealist Johann Gottlieb Fichte. In particular, Weyl’s ‘agens theory’ of matter, which he held around 1925, will be looked at. In the extant literature, the—admittedly also important—influence of Husserl on Weyl has mainly been addressed. Thus, apart from investigating some detailed Fichtean inheritances in Weyl’s concepts of causality, chance and continuity, the general difference which Weyl saw between the philosophies of Fichte and Husserl will also be discussed. For Weyl this is above all a difference between an active constructivism and a rather passive phenomenological seeing (Schau). Further, the paper shows in some detail the way Weyl was drawn into a certain reading of Fichte by his Zurich colleague, the philosopher Fritz Medicus. The methodological frame of the paper is that of Konstellationsforschung, a historical and systematic approach which proves to be particularly fruitful when investigating a (broadly speaking) German Idealist context and which allows special attention to be given to the acting subjects within the constellation under investigation. Conversely, Weyl’s agens theory suggests amendments to this methodology.     

NECESSARY CONDITIONS FOR MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING

1.IntroductionThestudyofnecessaryconditionforvariousefficielltsolutionsofmultiobjectiveprogrammingisanimportantaridfundamentalsubject.Notonlytheseconditionsleadtokeyeffectivenesswhensomealgorithmsareprovidedwiththem,butalsotheyareimportantandusefultoolsto…     

具有多个等式和不等式约束条件次可微优化的最优性条件

在一个正则性假设条件下,给出了具有多个等式约束与不等式约束条件可微优化的ＦｒｉｔｚＪｏｈｎ必要性条件和Ｋｕｈｎ－Ｔｕｃｋｅｒ必要性条件与充分性条件。     

Fritz London and the scale of quantum mechanisms

Fritz London's seminal idea of “quantum mechanisms of macroscopic scale”, first articulated in 1946, was the unanticipated result of two decades of research, during which London pursued quantum-mechanical explanations of various kinds of systems of particles at different scales. He started at the microphysical scale with the hydrogen molecule, generalized his approach to chemical bonds and intermolecular forces, then turned to macrophysical systems like superconductors and superfluid helium. Along this path, he formulated a set of concepts—the quantum mechanism of exchange, the rigidity of the wave function, the role of quantum statistics in multi-particle systems, the possibility of order in momentum space—that eventually coalesced into a new conception of systems of equal particles. In particular, it was London's clarification of Bose-Einstein condensation that enabled him to formulate the notion of superfluids, and led him to the recognition that quantum mechanics was not, as it was commonly assumed, relevant exclusively as a micromechanics.