Analytic geometry

The paper generalizes one practical tool for analyzing the structural dynamics for the high-speed railway bridge based on Cast3M open-source. Compared with the classical approach with the analytical formulation, KD-Railway developed by the finite element method allows defining the structure with complex geometry and considering a different type of structure (truss, cable, hybrid composite) or the structure-soil interaction.

10p viengfa 28-10-2024 2 1   Download

In this paper, we consider a general case of FFR in which the users are classified into groups and each group is assigned a serving power level. The mathematical model of the general FFR is presented and analysed through a stochastic geometry approach. The derived analytical results in terms of average coverage probability can covered all the related well-known results in the literature.

8p tamynhan6 14-09-2020 17 3   Download

In this study, a simple analytical model incorporating perforation length, radius, and shot density was used to analyze oil well productivity. The results shows that the production rate can be increased by the perforation length, radius, and shot density.

10p lucastanguyen 01-06-2020 24 4   Download

A key feature of molten salt reactors is the possibility to reconfigure the fuel geometry (actively or passively driven by gravitational forces) in case of accidents. In this regard, the design of reference molten salt reactor of Generation IV International Forum, the MSFR, foresees the Emergency core Draining System (EDS).

14p christabelhuynh 29-05-2020 8 2   Download

Web geometry is devoted to the study of families of foliations which are in general position. We restrict ourselves to the local situation, in the neighborhood of the origin in C2 , with d ≥ 1 complex analytic foliations of curves in general position. We are interested in the geometry of such configurations, that is, properties of planar d-webs which are invariant with respect to analytic local isomorphisms of C2 . The initiators of the subject are W. Blaschke, G. Thomsen and G. Bol in the 1930’s (cf. [B-B], [B] and for instance [H1]). ...

22p tuanloccuoi 04-01-2013 52 6   Download

In 1991, David Gale and Raphael Robinson, building on explorations carried out by Michael Somos in the 1980s, introduced a three-parameter family of rational recurrence relations, each of which (with suitable initial conditions) appeared to give rise to a sequence of integers, even though a priori the recurrence might produce non-integral rational numbers. Throughout the '90s, proofs of integrality were known only for individual special cases. In the early '00s, Sergey Fomin and Andrei Zelevinsky proved Gale and Robinson's integrality conjecture.

37p thulanh8 19-09-2011 57 14   Download