scholarly journals Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems

2004 ◽  
Vol 2004 (1) ◽  
pp. 221-249 ◽  
Author(s):  
Yuri B. Melnikov

We present state of the art, the new results, and discuss open problems in the field of spectral analysis for a class of integral-difference operators appearing in some nonequilibrium statistical physics models as collision operators. The author dedicates this work to the memory of Professor Ilya Prigogine, who initiated this activity in 1997 and whose interesting and most enlightening advices had gudided the author during all these years.

2012 ◽  
Vol 36 (2) ◽  
Author(s):  
Rainer Haeckel ◽  
Oswald Sonntag

AbstractThe validation of analytical procedures in laboratory medicine has been discussed by many authors and several recommendations have been elaborated by working groups and standardization bodies. However, some problems have not sufficiently been solved, for example, permissible limits for the comparability between methods (permissible equivalence), what is the best statistical procedure for estimating the function of the fitting line in scatter plots, and permissible limits for the spread around the fitting line. The present article attempts to summarize the present state-of-the-art and to provide answers to some of the open problems.


1984 ◽  
Vol 29 (4) ◽  
pp. 344-346
Author(s):  
Peter A. Magaro

2002 ◽  
Vol 20 (4) ◽  
pp. 595-597 ◽  
Author(s):  
D.G. KOSHKAREV

Recently the “fast ignition” method in the ICF problem was considered (Caruso & Pais, 1996). It allows increasing a target gain factor and raising reliability of the burning process. Since the required power of the irradiating beam in this method is unattainable for the traditional type of heavy ion driver with the energy of ions ≤10 GeV, the powerful laser is considered as a possible driver only. Here we investigate the fast ignition method for a system constituted from the directly irradiated cylindrical target and a powerful heavy ion driver of the charge-symmetric type (Koshkarev, 1993) in which the ions with energy ≈100 GeV and mass ≈200 are used. The actual design of a powerful heavy ion driver with the required characteristics is outside the purpose of this article. However some consideration will be given to exploring whether such a performance is within the realm of reasonable extrapolations of the present state of the art.


1985 ◽  
Vol 19 (1) ◽  
pp. 9-33 ◽  
Author(s):  
J. L. Berggren

In Recent Years, many discoveries in the history of Islamic mathematics have not been reported outside the specialist literature, even though they raise issues of interest to a larger audience. Thus, our aim in writing this survey is to provide to scholars of Islamic culture an account of the major themes and discoveries of the last decade of research on the history of mathematics in the Islamic world. However, the subject of mathematics comprised much more than what a modern mathematician might think of as belonging to mathematics, so our survey is an overview of what may best be called the “mathematical sciences” in Islam; that is, in addition to such topics as arithmetic, algebra, and geometry we will also be interested in mechanics, optics, and mathematical instruments.


2006 ◽  
Vol 2 (14) ◽  
pp. 473-473
Author(s):  
Sophie Pireaux ◽  
E. Myles Standish ◽  
Elena V. Pitjeva ◽  
Jean-Pierre Rozelot

AbstractWe discuss the present state of the art of the solar quadrupole moment from planetary ephemerides.


1982 ◽  
Vol PAS-101 (8) ◽  
pp. 2443-2450 ◽  
Author(s):  
Joe Pohlman ◽  
Phillip Landers

1921 ◽  
Vol 25 (123) ◽  
pp. 130-165

In the following paper the writer's aim is to indicate certain possible lines of development and research which his own investigations and preliminary experiments have shown to be at least worthy of serious consideration.If we review the present state of the art we find the position to be substantially as follows :—From a thermodynamic point of view the performance of the modern aero engine has approached so nearly to the ideal obtainable from the cycle on which it operates that there is little scope for improvement.


2016 ◽  
Vol 5 (1) ◽  
pp. 75-97
Author(s):  
Fabio Brancaleoni

AbstractA discussion of the dominant factors affecting the behaviour of long span cable supported bridges is the subject of this paper. The main issue is the evolution of properties and response of the bridge with the size of the structure, represented by the critical parameter of span length, showing how this affects the conceptual design. After a review of the present state of the art, perspectives for future developments are discussed.


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