scholarly journals Scaled random trajectory segment models

1998 ◽  
Vol 12 (1) ◽  
pp. 51-73 ◽  
Author(s):  
Jacob Goldberger ◽  
David Burshtein
2011 ◽  
Vol 71-78 ◽  
pp. 3633-3638 ◽  
Author(s):  
Jie Zhang ◽  
Ze Hua Liu ◽  
Yuan Quan Liu ◽  
Hui Min Li ◽  
Yong Fei Ning

This paper discusses particle deposition in rectangle air-conditioning duct using RSM (Reynold Stress Model) and random trajectory particle model. Particle with nominal diameters of 10-200μm are simulated at each of three nominal air speed: 4m/s, 6m/s and 8m/s, respectively, in the cross-section sizes of 160×120, 500×250, 1000×320mm. In simulation, the paper compares and analyzes the influence factors of particles deposition in volume surface ratio of the given duct. The results show that: 1) particle deposition velocity increases with volume surface ratio; 2) As the inlet air speed increasing, when the particles deposited to floor and vertical wall, the image of dimensionless deposition velocity Vs dimensionless relaxation time shows a coincident trend when the duct cross-section sizes are 500×250, 1000×320mm, but has great differences with the image of 160×120mm.


Author(s):  
Meghan Chandarana ◽  
Erica L. Meszaros ◽  
Anna Trujillo ◽  
B. Danette Allen

As the number of viable applications for unmanned aerial vehicle (UAV) systems increases at an exponential rate, interfaces that reduce the reliance on highly skilled engineers and pilots must be developed. Recent work aims to make use of common human communication modalities such as speech and gesture. This paper explores a multimodal natural language interface that uses a combination of speech and gesture input modalities to build complex UAV flight paths by defining trajectory segment primitives. Gesture inputs are used to define the general shape of a segment while speech inputs provide additional geometric information needed to fully characterize a trajectory segment. A user study is conducted in order to evaluate the efficacy of the multimodal interface.


2021 ◽  
Vol 129 (4) ◽  
pp. 436
Author(s):  
В.В. Краснов ◽  
Р.С. Стариков ◽  
Е.Ю. Злоказов

The method of synthesis of self-focusing amplitude DOE without the carrier spatial frequency working in divergent beams and forming single focused diffraction order which can occupy whole DOE reconstruction field because there is no necessity for spatial separation of diffraction orders, which is the case with holograms, is presented. Synthesis was carried out in two stages. The first one was carried out by the iteration algorithm similar to Gerchberg-Saxton algorithm, with those differences that synthesizable DOE is an amplitude one and incident wave front is divergent. Then the method of direct search with random trajectory was applied. As a result for binary amplitude DOE synthesis error of 6% and diffraction efficiency of 6% was achieved. Results of experimental DOE implementation using DMD are presented.


2019 ◽  
Vol 40 (10) ◽  
pp. 2778-2787
Author(s):  
MIKOLAJ FRACZYK

We prove a lower bound on the difference between the spectral radius of the Cayley graph of a group $G$ and the spectral radius of the Schreier graph $H\backslash G$ for any subgroup $H$. As an application, we extend Kesten’s theorem on spectral radii to uniformly recurrent subgroups and give a short proof that the result of Lyons and Peres on cycle density in Ramanujan graphs [Lyons and Peres. Cycle density in infinite Ramanujan graphs. Ann. Probab.43(6) (2015), 3337–3358, Theorem 1.2] holds on average. More precisely, we show that if ${\mathcal{G}}$ is an infinite deterministic Ramanujan graph then the time spent in short cycles by a random trajectory of length $n$ is $o(n)$.


2017 ◽  
Vol 40 ◽  
pp. 123-138 ◽  
Author(s):  
Yueyue Chen ◽  
Pin Lv ◽  
Deke Guo ◽  
Tongqing Zhou ◽  
Ming Xu

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