The amount of available data changes the style of research in geo-scientific domains, and thus influences the requirements for spatial processing systems. To support data-driven research and exploratory workflows, we ...
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A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon must eventually be simple. In particular, cross ...
A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon must eventually be simple. In particular, cross sections of the event horizon must eventually be spherical. This latter consequence of the main result generalizes in many respects the classical theorem of Hawking that black hole boundaries in stationary black hole space-times are spherical. (C) 1995 American Institute of Physics.
Focusing our attention on the cell wall and the plasmalemma (i.e. the cell membrane), we seek to show that the initiation of the regenerative, growing tip in the unicellular marine alga Acetabularia mediterranea, can ...
Focusing our attention on the cell wall and the plasmalemma (i.e. the cell membrane), we seek to show that the initiation of the regenerative, growing tip in the unicellular marine alga Acetabularia mediterranea, can be predicted using the techniques of thin-shell and elasticity theory. We build upon and extend the work of Goodwin and Trainor (1985, J. theor. Biol. 117, 79-106), Trainor and Goodwin (1986, Physica D. 21D, 137-145) and Briere and Goodwin (1988, J. theor. Biol. 131, 461-475) where the attention was focused on the calcium-regulated strain and stress fields of the cortical cytoplasm. Finally, we attempt to model the subsequent tip growth using a moving-boundary formulation, with cytosolic free calcium concentration and turgor pressure being the two variables responsible for the growth.
For many years techniques from numerical analysis have been applied fruitfully to the study of dynamical systems. In this paper it is shown that the theory of dynamical systems may be applied to certain computational ...
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For many years techniques from numerical analysis have been applied fruitfully to the study of dynamical systems. In this paper it is shown that the theory of dynamical systems may be applied to certain computational problems. In particular the question of global convergence of various QR algorithms can be reduced to the study of certain vector iterations derived from Schur forms of matrices. The technique is illustrated in determining the convergence behavior of normal Hessenberg matrices under the Francis and multishift QR iterations.
Using a simple geometric property, the paper presents a test for intersection between a plane and a connected compact polyhedron with a finite number of vertices. Although no interval analysis is involved, the method ...
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Using a simple geometric property, the paper presents a test for intersection between a plane and a connected compact polyhedron with a finite number of vertices. Although no interval analysis is involved, the method does give the range of a linear function.
Equations describing planar motion along a constant elliptical orbit in non-central force field are derived in a simple way and discussed. The angular moment along the elliptical orbit is not a constant of motion. The...
Equations describing planar motion along a constant elliptical orbit in non-central force field are derived in a simple way and discussed. The angular moment along the elliptical orbit is not a constant of motion. The problem appears to be related to the problem of planar motion with drag force. Relations with related works are discussed. in presence of drag force, conditions for the force field to be derived from the gradient of a function are discussed, and relation of this function with the potential function is indicated.
We empirically evaluate the performance of three approximation algorithms for the online bottleneck matching problem. In this matching problem, k server-vertices lie in a metric space and A;request-vertices that arriv...
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A method is presented to compute the inertial properties for shapes whose boundary is not expressible in terms of simple mathematical functions. The boundary is approximated in terms of local coordinates. The relevant...
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A method is presented to compute the inertial properties for shapes whose boundary is not expressible in terms of simple mathematical functions. The boundary is approximated in terms of local coordinates. The relevant double integrals are transformed into line integrals and then evaluated. A numerical example is presented to demonstrate the versatility of the algorithm.
An algorithm for definite hypergeometric summation is given. It is based, in a non-obvious way, on Gosper's algorithm for definite hypergeometric summation, and its theoretical justification relies on Bernstein...
An algorithm for definite hypergeometric summation is given. It is based, in a non-obvious way, on Gosper's algorithm for definite hypergeometric summation, and its theoretical justification relies on Bernstein's theory of holonomic systems.
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