Fock theory modification into 4-d coordinate space. Harmonic tensors in quantum Coulomb problem

Author(s):  
Sergei P. Efimov
Machines ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Jing Wang ◽  
Zhihua Wan ◽  
Zhurong Dong ◽  
Zhengguo Li

The harmonic reducer, with its advantages of high precision, low noise, light weight, and high speed ratio, has been widely used in aerospace solar wing deployment mechanisms, antenna pointing mechanisms, robot joints, and other precision transmission fields. Accurately predicting the performance of the harmonic reducer under various application conditions is of great significance to the high reliability and long life of the harmonic reducer. In this paper, a set of automatic harmonic reducer performance test systems is designed. By using the CANOpen bus interface to control the servo motor as the drive motor, through accurately controlling the motor speed and rotation angle, collecting the angle, torque, and current in real time, the life cycle test of space harmonic reducer was carried out in high vacuum and low temperature environment on the ground. Then, the collected data were automatically analyzed and calculated. The test data of the transmission accuracy, backlash, and transmission efficiency of the space harmonic reducer were obtained. It is proven by experiments that the performance data of the harmonic reducer in space work can be more accurately obtained by using the test system mentioned in this paper, which is convenient for further research on related lubricating materials.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ross M. Lawrence ◽  
Eric W. Bridgeford ◽  
Patrick E. Myers ◽  
Ganesh C. Arvapalli ◽  
Sandhya C. Ramachandran ◽  
...  

AbstractUsing brain atlases to localize regions of interest is a requirement for making neuroscientifically valid statistical inferences. These atlases, represented in volumetric or surface coordinate spaces, can describe brain topology from a variety of perspectives. Although many human brain atlases have circulated the field over the past fifty years, limited effort has been devoted to their standardization. Standardization can facilitate consistency and transparency with respect to orientation, resolution, labeling scheme, file storage format, and coordinate space designation. Our group has worked to consolidate an extensive selection of popular human brain atlases into a single, curated, open-source library, where they are stored following a standardized protocol with accompanying metadata, which can serve as the basis for future atlases. The repository containing the atlases, the specification, as well as relevant transformation functions is available in the neuroparc OSF registered repository or https://github.com/neurodata/neuroparc.


2021 ◽  
pp. 1-1
Author(s):  
Benteng Zhao ◽  
Jinlin Gong ◽  
Tao Tong ◽  
Y. Xu ◽  
E. Semail ◽  
...  

2020 ◽  
Vol 68 (11) ◽  
pp. 4642-4651
Author(s):  
Yi Zhang ◽  
Chengkai Zhu ◽  
Shuqin Dong ◽  
Zhitao Gu ◽  
Marcel Balle ◽  
...  

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Supriya Aggarwal ◽  
Kavita Khare

One of the most important steps in spectral analysis is filtering, where window functions are generally used to design filters. In this paper, we modify the existing architecture for realizing the window functions using CORDIC processor. Firstly, we modify the conventional CORDIC algorithm to reduce its latency and area. The proposed CORDIC algorithm is completely scale-free for the range of convergence that spans the entire coordinate space. Secondly, we realize the window functions using a single CORDIC processor as against two serially connected CORDIC processors in existing technique, thus optimizing it for area and latency. The linear CORDIC processor is replaced by a shift-add network which drastically reduces the number of pipelining stages required in the existing design. The proposed design on an average requires approximately 64% less pipeline stages and saves up to 44.2% area. Currently, the processor is designed to implement Blackman windowing architecture, which with slight modifications can be extended to other widow functions as well. The details of the proposed architecture are discussed in the paper.


2021 ◽  
pp. 026010792198991
Author(s):  
Muhammad Adli Amirullah ◽  
Mario Arturo Ruiz Estrada ◽  
Mohamed Aslam

This article models the interconnection between the public transfer payment policy in Malaysia and the overall Malaysian economy using an inter-linkage coordinate space. This space is represented graphically, with the public transfer payment distribution in the centre and the number of periods plotted along rays (axes) that are drawn from the centre, each of which can have as many windows as required at the predetermined perimeter levels. Using this model, this article evaluates whether and how the implementation of public transfer payment policy in Malaysia can simultaneously affect the overall Malaysian economy through selected macroeconomic indicators. Finally, this article proposes the use of computer graphical animation when sufficient data are available to provide a more accurate measurement and visual representation of the economic ripple effect in the same graphical space. JEL: C00, E60, H53


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