Pedestrian Simulation Using Geometric Reasoning in Velocity Space

2013 ◽  
pp. 875-890 ◽  
Author(s):  
Sean Curtis ◽  
Dinesh Manocha
Keyword(s):  
Geometric Reasoning ◽  
Velocity Space ◽  
Pedestrian Simulation

Kinematical evolution of Globular Clusters

2019 ◽  
Vol 14 (S351) ◽  
pp. 524-527
Author(s):  
Maria A. Tiongco ◽  
Enrico Vesperini ◽  
Anna Lisa Varri
Keyword(s):  
Angular Momentum ◽  
Structural Properties ◽  
Globular Clusters ◽  
Velocity Dispersion ◽  
Three Dimensional ◽  
Stellar Populations ◽  
Velocity Space ◽  
Fundamental Understanding

AbstractWe present several results of the study of the evolution of globular clusters’ internal kinematics, as driven by two-body relaxation and the interplay between internal angular momentum and the external Galactic tidal field. Via a large suite of N-body simulations, we explored the three-dimensional velocity space of tidally perturbed clusters, by characterizing their degree of velocity dispersion anisotropy and their rotational properties. These studies have shown that a cluster’s kinematical properties contain distinct imprints of the cluster’s initial structural properties, dynamical history, and tidal environment. Building on this fundamental understanding, we then studied the dynamics of multiple stellar populations in globular clusters, with attention to the largely unexplored role of angular momentum.

Geometric reasoning with logic and algebra

1988 ◽  
Vol 37 (1-3) ◽  
pp. 37-60 ◽  
Author(s):  
Dennis S. Arnon
Keyword(s):  
Geometric Reasoning ◽  
And Algebra

Developing Students’ Geometric Reasoning about the Derivative of Complex Valued Functions

2017 ◽  
Vol 3 (3) ◽  
pp. 173-205 ◽  
Author(s):  
Jonathan Troup ◽  
Hortensia Soto-Johnson ◽  
Gulden Karakok ◽  
Ricardo Diaz
Keyword(s):  
Geometric Reasoning ◽  
Complex Valued

scholarly journals Inversion methods for fast-ion velocity-space tomography in fusion plasmas

2016 ◽  
Vol 58 (4) ◽  
pp. 045016 ◽  
Author(s):  
A S Jacobsen ◽  
L Stagner ◽  
M Salewski ◽  
B Geiger ◽  
W W Heidbrink ◽  
...  
Keyword(s):  
Velocity Space ◽  
Fusion Plasmas ◽  
Inversion Methods ◽  
Ion Velocity ◽  
Fast Ion

Discretization of the Boltzmann equation in velocity space using a Galerkin approach

2000 ◽  
Vol 129 (1-3) ◽  
pp. 91-99 ◽  
Author(s):  
Jonas Tölke ◽  
Manfred Krafczyk ◽  
Manuel Schulz ◽  
Ernst Rank
Keyword(s):  
Boltzmann Equation ◽  
Velocity Space ◽  
Galerkin Approach ◽  
The Boltzmann Equation

Geometric Reasoning Based on Graph Grammar Parsing

1994 ◽  
Vol 116 (3) ◽  
pp. 763-769 ◽  
Author(s):  
Z. Fu ◽  
A. de Pennington
Keyword(s):  
Intelligent Design ◽  
Feature Recognition ◽  
Geometric Reasoning ◽  
Geometric Constraints ◽  
Graph Grammar ◽  
Feature Interaction ◽  
Knowledge Based ◽  
Feature Based ◽  
Feature Information ◽  
And Performance

It has been recognized that future intelligent design support environments need to reason about the geometry of products and to evaluate product functionality and performance against given constraints. A first step towards this goal is to provide a more robust information model which directly relates to design functionality or manufacturing characteristics, on which reasoning can be carried out. This has motivated research on feature-based modelling and reasoning. In this paper, an approach is presented to geometric reasoning based on graph grammar parsing. Our approach is presented to geometric reasoning based on graph grammar parsing. Our work combines methodologies from both design by features and feature recognition. A graph grammar is used to represent and manipulate features and geometric constraints. Geometric constraints are used within symbolical definitions of features constraints. Geometric constraints are used within symbolical definitions of features and also to define relative position and orientation of features. The graph grammar parsing is incorporated with knowledge-based inference to derive feature information and propagate constraints. This approach can be used for the transformation of feature information and to deal with feature interaction.

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