Results 61 to 70 of about 9,625 (154)
MiMiCPy: An Efficient Toolkit for MiMiC-Based QM/MM Simulations. [PDF]
Raghavan B +8 more
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Pθ-Topological Groups in Nonstandard Analysis [PDF]
Tahir Ismail +2 more
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Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space
Nonstandard analysis is very complex, so finding a simple description of infinitesimal points will be useful. In this paper, ultrafilters as infinitesimal points in a topological space will be proposed, and some topological concepts is restated by this tools.
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Nonstandard topology is a kind of topology constructed by means of nonstandard analysis. In the literature, most books and research articles talk about nonstandard analysis. They rarely talk about nonstandard topology. Indeed, it is hard to find a single book or article that gives a comprehensive study of nonstandard topology.
openaire
An implementation of the Martini coarse-grained force field in OpenMM. [PDF]
MacCallum JL +5 more
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Nonstandard Vector Space with a Metric and Its Topological Structure
In this paper, we introduce the nonstandard vector space in which the concept of additive inverse element will not be taken into account. We also consider a metric defined on this nonstandard vector space. Under these settings, the conventional intuitive properties for the open and closed balls will not hold true.
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CHARMM-GUI PDB Manipulator: Various PDB Structural Modifications for Biomolecular Modeling and Simulation. [PDF]
Park SJ, Kern N, Brown T, Lee J, Im W.
europepmc +1 more source
Topologizing Rings of Map Germs: An Order Theoretic Analysis of Germs via Nonstandard Methods
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent nets of continuous germs have continuous germs as limits and that, for continuous germs, ring operations and compositions are continuous.
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This rather technical paper presents some generalization of the results of recent publications \cite{Shirkov2010, DVPF2010, PFDV2010} where toy models of dimensional reduction of space-time were considered. Here we introduce and consider a specific type of multidimensional space-times with nontrivial topology and nontrivial Riemannian metric, which ...
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Phylogenetic characterization and biodiversity of spore-forming bacteria isolated from Brazilian UHT milk. [PDF]
Moreira IMFB +3 more
europepmc +1 more source

