scholarly journals Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling

2016 ◽  
Vol 913 ◽  
pp. 278-300 ◽  
Author(s):  
Krzysztof Cichy ◽  
Karl Jansen ◽  
Piotr Korcyl
Keyword(s):  
Coordinate Space ◽  
Renormalization Constants

scholarly journals Standardizing human brain parcellations

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ross M. Lawrence ◽  
Eric W. Bridgeford ◽  
Patrick E. Myers ◽  
Ganesh C. Arvapalli ◽  
Sandhya C. Ramachandran ◽  
...  
Keyword(s):  
Human Brain ◽  
Coordinate Space ◽  
The Past ◽  
File Storage ◽  
Statistical Inferences ◽  
Standardized Protocol ◽  
Storage Format ◽  
Labeling Scheme ◽  
Selection Of ◽  
Brain Atlases

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.

3-D Motion Imaging in a Multipath Coordinate Space Based on a TDM-MIMO Radar Sensor

2020 ◽  
Vol 68 (11) ◽  
pp. 4642-4651
Author(s):  
Yi Zhang ◽  
Chengkai Zhu ◽  
Shuqin Dong ◽  
Zhitao Gu ◽  
Marcel Balle ◽  
...  
Keyword(s):  
Mimo Radar ◽  
Coordinate Space ◽  
Radar Sensor ◽  
Motion Imaging

scholarly journals Redesigned-Scale-Free CORDIC Algorithm Based FPGA Implementation of Window Functions to Minimize Area and Latency

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Supriya Aggarwal ◽  
Kavita Khare
Keyword(s):  
Spectral Analysis ◽  
Fpga Implementation ◽  
Coordinate Space ◽  
Cordic Algorithm ◽  
Scale Free ◽  
Window Functions

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.

Economic Ripple Effect: The Effect of Public Transfer Payment Policy in Malaysia

2021 ◽  
pp. 026010792198991
Author(s):  
Muhammad Adli Amirullah ◽  
Mario Arturo Ruiz Estrada ◽  
Mohamed Aslam
Keyword(s):  
Visual Representation ◽  
Coordinate Space ◽  
Transfer Payment ◽  
Ripple Effect ◽  
Sufficient Data ◽  
Payment Policy ◽  
The Public ◽  
Macroeconomic Indicators

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

scholarly journals DIFFERENTIAL RENORMALIZATION FOR CURVED SPACE AND FINITE TEMPERATURE

1995 ◽  
Vol 10 (19) ◽  
pp. 2819-2839 ◽  
Author(s):  
JORDI COMELLAS ◽  
PETER E. HAAGENSEN ◽  
JOSÉ I. LATORRE
Keyword(s):  
Finite Temperature ◽  
Field Theories ◽  
Coordinate Space ◽  
Renormalization Procedure ◽  
Central Idea ◽  
Curved Space ◽  
Diffeomorphism Invariance ◽  
Differential Renormalization ◽  
Specific Calculations ◽  
Scalar Theories

We derive, based only on simple principles of renormalization in coordinate space, closed renormalized amplitudes and renormalization group constants at one- and two-loop orders for scalar field theories in general backgrounds. This is achieved through a renormalization procedure we develop exploiting the central idea behind differential renormalization, which needs as the only inputs the propagator and the appropriate Laplacian for the backgrounds in question. We work out this coordinate space renormalization in some detail, and subsequently back it up with specific calculations for scalar theories both on curved backgrounds, manifestly preserving diffeomorphism invariance, and at finite temperature.

scholarly journals LOOP EQUATION AND AREA LAW IN TURBULENCE

1994 ◽  
Vol 09 (08) ◽  
pp. 1197-1238 ◽  
Author(s):  
A. A. MIGDAL
Keyword(s):  
Fluid Dynamics ◽  
Summer School ◽  
Spatial Scales ◽  
Inertial Range ◽  
Coordinate Space ◽  
Extended Version ◽  
Closed Loops ◽  
Loop Equation ◽  
Minimal Area ◽  
Area Law

This is an extended version of the preprint,4 based on the lectures given at Cargese Summer School and Chernogolovka Summer School in 1993. The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation PC (Γ) which allows the scaling solutions in the inertial range of spatial scales. The pdf decays as exponential of some power of Γ3/A2, where A is the minimal area inside the loop.

On the Inherent Characteristics of the Dynamics of Robot Manipulators

1991 ◽  
Author(s):  
Q. Tu ◽  
J. Rastegar
Keyword(s):  
Path Length ◽  
Degrees Of Freedom ◽  
Inverse Dynamics ◽  
Robot Manipulators ◽  
Control Point ◽  
Coordinate Space ◽  
Relative Significance ◽  
Harmonic Content ◽  
Trajectory Pattern ◽  
Dynamics Models

Abstract The inherent characteristics of the (nonlinear) dynamics of robot manipulators are studied. The study is based on a new method, referred to as the trajectory pattern method. The inverse dynamics models of the manipulator are divided into classes of inverse dynamics models, each corresponding to a different trajectory pattern. For each trajectory pattern, the structure of the resulting inverse dynamics model is fixed and is used to study the characteristics of the dynamics of the manipulator by examining the harmonic content of the required actuation torques (forces) and the relative significance of each harmonic. The harmonic content of the actuating torques is shown to be a function of the path length in the joint coordinate space and the harmonic content of the selected trajectory pattern, but is independent of the number of degrees-of-freedom of the manipulator. The relative contribution of each harmonic is a function of the path length, direction of motion, the position of the path of motion within the workspace of the manipulator, and the magnitude of the fundamental frequency. The study provides a systematic approach to path and trajectory planning from the vibration control point of view. As an example, the characteristics of the dynamics of a spatial 3R manipulator is studied for motions with two different path lengths, starting from a specified point and extending in different directions.

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