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The Shapes of Random Walks with Fixed End-to-End Distance
1990Fixed length random walks embedded in d spatial dimensions are discussed. As a representation of polymers, they correspond to long chain molecules whose heads and tails are fixed in space. An exact analytical expression for the asphericity is presented that is valid in arbitrary spatial dimensionality.
A. Beldjenna, J. Rudnick, G. Gaspari
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An end-to-end distance measuring for mixed data based on deep relevance learning
Intelligent Data Analysis, 2020Distance Measuring between two mixed data objects is the basis of many learning algorithms. The complex relevance between heterogeneous – various types/scales – attributes has a significant influence on the measured results. In this paper, we propose an End-to-End Distance Measuring method for mixed data based on deep relevance learning, called E2DM ...
Li Cheng 0001 +2 more
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On the enumeration of the end-to-end distance distribution in lattice polymers
The Journal of Chemical Physics, 1989A simple matrix method is given that generates the probability distribution for the coordinates of the end of a polymer chain (modeled as a random walk on a regular lattice with a finite range of intrachain correlation). From this information the exact end-to-end distance distribution can be constructed.
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A computer program for the distribution of end-to-end distances in polymer molecules
Journal of Chemical Education, 1976As part of a recent interim course in polymer chemistry, the authors have written a Fortran computer program dealing with the distribution of end-to-end distances in randomly coiled polymer molecules.
William Van Doorne +2 more
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Even Moments of the End-to-End Distance of Polymeric Chains
The Journal of Chemical Physics, 1968A method is developed for calculating even moments 〈r2k〉 of the end-to-end distance r of polymeric chains, on the basis of the rotational-isomeric-state approximation for rotations about skeletal bonds. Expressions are obtained in a form which is applicable in principle to arbitrary k, but practical applications are limited by a tremendous increase in ...
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Unperturbed Mean-Square End-to-End Distance of Polyethylene
The Journal of Chemical Physics, 1961It is shown that previous methods for calculating the mean-square end-to-end distance 〈r02〉 of polyethylene are invalid, since no account is taken of interactions between rotations around chain bonds. With the aid of recently developed matrix methods the value of 〈r02〉/nl2 is calculated to be 6.75 at 160°C in excellent agreement with the results ...
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Estimating topological distances based on end-to-end path sharing
2009 IEEE Sarnoff Symposium, 2009Quality of Service (QoS) of large-scale distributed systems depends on the properties of the network connecting the nodes/hosts of the system. Topological information about the underlying network is beneficial for improving the performance, devising reliability schemes, ensuring low overhead, and enhancing the scalability of such systems.
Bengi Karacali, Mark Karol
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End-to-end distance of linear polymers in two dimensions: a reassessment
Journal of Physics A: Mathematical and General, 1985Recent exact enumeration studies of the two-dimensional self-avoiding walk have produced evidence in support of non-analytic scaling corrections. Newly extended series for the triangular and square lattices (to N=19 and 25 respectively) are examined in the light of recent Monte Carlo results suggesting the absence of corrections of this type.
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A Lower Bound for the End-to-End Distance of the Self-Avoiding Walk
Canadian Mathematical Bulletin, 2014AbstractFor an N-step self-avoiding walk on the hypercubic lattice Zd, we prove that the meansquare end-to-end distance is at least N4=(3d) times a constant. This implies that the associated critical exponent v is at least 2/(3d), assuming that v exists.
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Determination of the End-to-End Distance of High Polymer Molecule in Solution
Journal of the Physical Society of Japan, 1956Two convenient methods have been developed for calculating the end-to-end distance of the high polymer molecule in solution from the intrinsic viscosity and the angular distribution of the intensity of the scattered light, in which the volume-exclusion effect of the chain elements of the molecule and the effect of the interaction between chain elements
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