Zusammenfassung Der Almagest, das astronomische Hauptwerk des Klaudios Ptolemaios, arbeitet mit teilweise komplexen Bewegungsmodellen für die sieben Himmelskörper, keine Fixsterne sind. Zwei davon, nämlich Modelle Sonne und Mond, können als Paradigmen angesehen werden. Sie werden hier detailliert behandelt, wobei Bestimmung der Parameter sowie Bahnen Geschwindigkeiten besonders berücksichtigt

In this paper, Mond-Weir type duality results for a uncertain multiobjective robust optimization problem are given under generalized invexity assumptions. Also, weak vector saddle-point theorems are obtained under convexity assumptions.

Relative to a general class of nondifferentiable mathematical programming problems we consider a converse duality result with respect to a higher order Mond-Weir dual. AMS Mathematics Subject Classification: 90C29, 90C30, 90C32.

A Mond–Weir type dual for a class of nondifferentiable minimax fractional programming problem is considered. Appropriate duality results are proved involving (F,a,q,d)-pseudoconvex functions. 2005 Elsevier Inc. All rights reserved.

Quantum treatment of physical reference frame leads to the Ricci flow quantum spacetime, which is a quite rigid framework and renormalization effect gravity. The theory has low characteristic energy scale described by unique constant: critical density universe. At long distance (cosmic or galactic) scale, modifies Einstein's gravity naturally gives rise cosmological constant as counter term at ...