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(SA-NTL2-SMS; Pietermaritzburg) On the regions of influence in complex decomposition forms of finite functions. ... Here we consider how the regions of influence in the simple decompositions of a function combine into regions of influence in complex decompositions. ...
(SA-NTL2-SMS; Pietermaritzburg) Regions of influence in simple decomposition forms of finite functions. ... We offer regions of influence as criteria for evaluation of simple decomposition forms and study their properties. ...
This paper presents a novel approach to computing feedback laws in the presence of obstacles. ... We also present an algorithm for computing feedback laws over cylindrical algebraic decompositions, thereby solving a smooth feedback version of the generalized piano movers' problem. ... ACKNOWLEDGMENTS This work was funded in part by an NSF Graduate Research Fellowship and NSF Award 0535007. ...doi:10.1177/0278364908099462 fatcat:gpcgmypiz5dmheg6xsd4y232py
Lecture Notes in Computer Science
We discuss first how to transpose Morse theory to the discrete case in order to describe the morphology of triangulated terrains. ... We consider the problem of extracting the morphology of a terrain discretized as a triangle mesh. ... Catchment basins correspond to the cells of the stable Morse complex defined on the same domain. The regions of influence related to the saddles form the watershed lines. ...doi:10.1007/978-3-642-24085-0_58 fatcat:qhtxl7muhzbzfoianrqxvylr54
To be le to analyze MPA in their abstract form we have defined needed decomposition models of MPA. ... In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). ... Acknowledgements This work was done within the project "Complex performance modeling, optimization and prediction of parallel computers and algorithms" at University of Zilina, Slovakia. ...doi:10.11648/j.ajnc.s.2014030501.11 fatcat:le5h2wsnuvgl3ldunwf3bjfure
We present an algorithm for the generation of coarse and fine finite element (FE) meshes on multiply connected surfaces, based on the medial axis transform (MAT). ... Using this technique, we can create a coarse subdivision of a complex surface and select local element size to generate fine triangular meshes within those subregions in an automated manner. ... Hoffmann provided valued assistance on the complexity analysis of our MAT algorithm. ...doi:10.1007/bf01200364 fatcat:lnjkgsku7zgj5d5lfqgb77krt4
In the proposed approach, physical information is attached to an adaptive, full-dimensional decomposition of the domain of interest. ... We will also demonstrate that our formulation removes artificial constraints on the shape of discrete elements and unifies commonly unrelated methods in a single computational framework. ... The work of the last author is supported in part by the National Science Foundation grants DMI-0500380, DMI-0323514, DMI-0621116 and OCI-0537370. ...doi:10.1016/j.aei.2007.08.013 fatcat:bhgztq6wsrcy3dk2wk6r563dgu
The present method allows the treatment of problems in various complex geometries by the mapping of curvilinear domains into simpler (rectangular or circular) regions with subsequent matching of local ... The continuity of the global solution is accomplished by a point-wise matching of the local subsolutions on the interfaces. The matching relations are derived in terms of the jumps on the interfaces. ... Domain decomposition in the form of parallel strips eliminates the large variance of the coefficients only in the transverse direction. ...doi:10.1016/0377-0427(95)00185-9 fatcat:z2ummvzng5apfohrvpwwnuylne
One of the essential steps of performing a finite element analysis is the discretisation of the geometric domain into an analysis-suitable mesh. ... In case of complex geometries this process may become a severe bottleneck in the complete analysis pipeline. ... The convergence properties of the approach in the context of FCM are discussed in "Finite Cell Method examples" along with an example of a wave propagation problem on a complex domain. ...doi:10.1186/s40323-015-0031-y fatcat:obah4x2nv5bvnnxowz6xdvaqfy
of measure zero and the integral curves of which are smooth (i.e., C ∞ ) and arrive at a neighborhood of the goal state in finite time. ... Given a cylindrical algebraic decomposition on R n , a goal state xg, and a connectivity graph of cells reachable from the goal cell, we construct a vector field that is smooth everywhere except on a set ... ACKNOWLEDGMENTS This work was funded in part by NSF Awards 9875304, 0118146, and 0208891. ...doi:10.15607/rss.2006.ii.027 dblp:conf/rss/LindemannL06 fatcat:p27zjelcp5erraul5azthv2ef4
Journal of Cognitive Neuroscience
These authors identified functionally segregated early and late frontu-parietal network clusters, based on a data-driven functional decomposition analysis called fuzzy clustering. ... Also, there might be a finite set of communication loops within the network, especially a finite number of spatially separated recurrent loops. ...
influence on the solvation energy of a channel protein. ... The use of lateral periodic boundary conditions can properly simulate the discrete distribution of membrane proteins on the membrane plane and avoid boundary effects, which are caused by the finite box ... Its general form reads − ∇ · ∇φ − λ K ∑ i=1 c bi e −z i e c βφ z i e c = ρ f (4) where the characteristic function λ = 0 in the solute region , and λ = 1 in the solvent region. β = 1 k B T is the reciprocal ...doi:10.3390/ijms19030695 pmid:29495644 pmcid:PMC5877556 fatcat:jglaro24hjfdllj2crztkkkzwu
This result can be gener- alized easily to a finite product of finite sets on which a product probability measure is defined. From this decomposition we derive an exact partition of the x? ... The author surveys some of the results on the complex Gaussian distribution and indicates the usefulness of these results in hy- pothesis testing problems. ...
This paper introduces a novel approach to decentralized control design, influence-based model decomposition, and applies it in the context of thermal regulation. ... Influence-based model decomposition uses a decentralized model, called an influence graph, as a key data abstraction representing influences of controls on distributed physical fields. ... Compare the total influence from each control location on locations in other regions (decomposed), and the amount of influence from that location on locations in its own region (atomic). ...doi:10.1016/s0004-3702(01)00090-x fatcat:snukysniqveadnxwek53accrs4
Further analysis is based on the representation of the signal in the form of coefficients of its wavelet decomposition. ... Further pre-processing signal is a representation of the signal in the form of finite segments of wavelet coefficients. ... block appear in the form of a complex nonlinear composition in the observed signal of sensor. ...doi:10.3303/cet1333012 doaj:83658b144d4f49cca56caf7c24e243d1 fatcat:btdzazib4jb4tpaqsexjbl6twa
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