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Orbit Dynamics, Stability and Chaos in Planetary Systems
Let us start with a problem of dynamical biology, which was posed about 800 years ago by Fibonacci1
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Collision Free Motion Planning on Graphs
A topological theory initiated in [4,5] uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion...
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Computing Protein Structures from Electron Density Maps: The Missing Fragment Problem
Rapid protein structure determination relies greatly on the availability of software that can automatically generate a protein model from an...
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Planet Formation
Motivating the study of planet formation is not difficult for any curious audience. One of the fundamental human questions is that of origins: “where...
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Pareto Optimal Coordination on Roadmaps
Given a collection of robots sharing a common environment, assume that each possesses an individual roadmap for its C-space and a cost function for...
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Coordinating Multiple Droplets in Planar Array Digital Microfluidics System
This paper presents an approach to coordinate the motions of droplets in digital microfluidic systems used for biochemical analysis. A digital...
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Semi-Differential Invariants for Recognition of Albebraic Curves
This paper studies the recognition of low-degree polynomial curves based on minimal tactile data. Differential and semi-differential invariants have...
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Computing Deform Closure Grasps
In prior work, we extended the well-known form closure grasp framework for rigid parts to a class of deformable parts, modeled as frictionless...
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Applications of the Correlation Length
The correlation length is the system–dependent parameter, which defines the structure of the dominant current–carrying (electric or fluid) paths....
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Pressure Saturation Curves and the Critical Volume Fraction for Percolation
The pressure-saturation curves of porous media give fundamental information about the pore space. In equilibrium, ignoring effects due to hysteresis,...
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Effects of Multi-Scale Heterogeneity
It is generally agreed that problems with multi-scale heterogeneity present the biggest challenge to computation and understanding. A few such...
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Uniform Coverage of Simple Surfaces Embedded in $\mathbb{R}^3$ for Auto-Body Painting
We develop a procedure for automated trajectory generation for robotic spray painting applications. Painting requires that the spray gun deposit...
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Sampling-Based Motion Planning under Kinematic Loop-Closure Constraints
Kinematic loop-closure constraints significantly increase the difficulty of motion planning for articulated mechanisms. Configurations of...
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Small-Scale Mantle Plumes: Imaging and Geodynamic Aspects
Columnar, upwelling masses of hot rock in the Earth’s mantle, called mantle plumes, are spectacular features of our planet because they supply the...
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A Combined Geophysical/Engineering Approach for the Seismic Safety of Long-Span Bridges
The spatial distribution of the resonance frequency of the sedimentary cover in the Cologne area was estimated by the horizontal-to-vertical spectral...
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4 Specific Features of Coupled Fluid Flow and Chemical Reaction
In many geologic processes, water-rock interactions are driven by continues supply of reactants provided by flowing groundwater. When water that...
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5 Fossil Hydrothermal Systems
Reactive transport modeling of the history of fossil hydrothermal systems provides the basis for understanding genesis of ore deposits as well as...
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International Standardisation of Ground Investigation and Testing Methods
Three committees of the International Organisation for Standardisation (ISO) and European Committee for Standardisation (CEN) prepare common...
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Some Basic Considerations about the Necessities and Possibilities of Cooperation between Civil Engineers and Engineering Geologists
The education of civil engineers and engineering geologists is different. While civil engineers are commonly educated and trained in mathematical and...
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Coring Performance to Characterise the Geology in the “Cran aux Iguanodons” of Bernissart (Belgium)
The “Cran aux iguanodons” of Bernissart is a sinkhole (or chimney caving) with a valuable paleontological deposit due to the exceptional quantity and...