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Plane Curves with Ordinary Multiple Points and Variables Ordinary Nodes
"... Abstract. Fix integers s> 0, mi> 0, 1 ≤ i ≤ s, d> 0, z ≥ 0, and s distinct points of P2. Let W (d;m1P1,..., msPs; z) denote the set of all integral degree d plane curves with an ordinary point with multiplicity mi at each Pi and z ordinary nodes in P 2\{P1,..., Ps} as its only singularities ..."
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Abstract. Fix integers s> 0, mi> 0, 1 ≤ i ≤ s, d> 0, z ≥ 0, and s distinct points of P2. Let W (d;m1P1,..., msPs; z) denote the set of all integral degree d plane curves with an ordinary point with multiplicity mi at each Pi and z ordinary nodes in P 2\{P1,..., Ps} as its only
Performance Modeling of Epidemic Routing
 In Proceedings of IFIP Networking
, 2006
"... Abstract. In this paper, we develop a rigorous, unified framework based on Ordinary Differential Equations (ODEs) to study epidemic routing and its variations. These ODEs can be derived as limits of Markovian models under a natural scaling as the number of nodes increases. While an analytical study ..."
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Cited by 193 (11 self)
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Abstract. In this paper, we develop a rigorous, unified framework based on Ordinary Differential Equations (ODEs) to study epidemic routing and its variations. These ODEs can be derived as limits of Markovian models under a natural scaling as the number of nodes increases. While an analytical study
Conics Touching a Quartic Surface with 13 Nodes
, 1996
"... For a given real quartic surface in complex IP 3 that has exactly 13 ordinary nodes as singularities the parameter space of those conics is investigated that have only even order contact with the given quartic. In particular, its irreducible components are described. 1 ..."
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For a given real quartic surface in complex IP 3 that has exactly 13 ordinary nodes as singularities the parameter space of those conics is investigated that have only even order contact with the given quartic. In particular, its irreducible components are described. 1
A Quintic Hypersurface in P 8 (C) with Many Nodes
, 909
"... We construct a hypersurface of degree 5 in projective space P 8 (C) which contains exactly 23436 ordinary nodes and no further singularities. This limits the maximum number µ8(5) of ordinary nodes a hyperquintic in P 8 (C) can have to 23436 ≤ µ8(5) ≤ 27876. Our method generalizes the approach by th ..."
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We construct a hypersurface of degree 5 in projective space P 8 (C) which contains exactly 23436 ordinary nodes and no further singularities. This limits the maximum number µ8(5) of ordinary nodes a hyperquintic in P 8 (C) can have to 23436 ≤ µ8(5) ≤ 27876. Our method generalizes the approach
Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves
, 1992
"... Let Γ be a plane curve of degree d with δ ordinary nodes and no other singularities. Let ..."
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Let Γ be a plane curve of degree d with δ ordinary nodes and no other singularities. Let
Potential in Ordinary Colleges and Universi
, 2009
"... OBJECTIVE To explore the regular patterns of lymphatic metastasis in thoracic esophageal carcinoma (TEC) and the factors infl uencing these patt erns. METHODS Data of 229 TEC patients who underwent radical esophagectomy and thoracoabdominal 2fi eld lymphadenectomy were reviewed. Within this patient ..."
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this patient population, a total of 2458 lymph nodes were dissected during surgery. The distribution of the nodular metastasis rates (NMR) in various diseased regions in the esophageal carcinoma (EC) patients as well as factors influencing metastases such as the depth of tumor infi ltration, tumor size, tumor
Multilevel ray tracing algorithm
"... We propose new approaches to ray tracing that greatly reduce the required number of operations while strictly preserving the geometrical correctness of the solution. A hierarchical “beam” structure serves as a proxy for a collection of rays. It is tested against a kdtree representing the overall sc ..."
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Cited by 164 (2 self)
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scene in order to discard from consideration the subset of the kdtree (and hence the scene) that is guaranteed not to intersect with any possible ray inside the beam. This allows for all the rays inside the beam to start traversing the tree from some node deep inside thus eliminating unnecessary
Nonlinear Ordinary Differential Equations
"... These notes are concerned with initial value problems for systems of ordinary differential equations. Here our emphasis will be on nonlinear phenomena and properties, particularly those with physical relevance. Finding a solution to a differential equation may not be so important if that solution n ..."
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These notes are concerned with initial value problems for systems of ordinary differential equations. Here our emphasis will be on nonlinear phenomena and properties, particularly those with physical relevance. Finding a solution to a differential equation may not be so important if that solution
ODE Ordinary Differential Equation
"... Linear global instability of nonorthogonal incompressible swept attachmentline boundary layer flow J. M. Pérez1, ..."
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Linear global instability of nonorthogonal incompressible swept attachmentline boundary layer flow J. M. Pérez1,
Results 1  10
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39,752