High‐accuracy approximation techniques for analytic functions

1985 ◽  
Vol 26 (3) ◽  
pp. 411-415 ◽  
Author(s):  
Charles Schwartz
Keyword(s):  
Analytic Functions ◽  
High Accuracy ◽  
Approximation Techniques

Towards Fine-Grained Online Adaptive Approximation Control for Dense SLAM on Embedded GPUs

2022 ◽  
Vol 27 (2) ◽  
pp. 1-19
Author(s):  
Tiancong Bu ◽  
Kaige Yan ◽  
Jingweijia Tan
Keyword(s):  
Energy Saving ◽  
Real Time ◽  
High Accuracy ◽  
Important Application ◽  
The Other ◽  
Approximation Techniques ◽  
Fine Grained ◽  
Critical Data ◽  
Adaptive Approximation ◽  
Adaptive Approximation Control

Dense SLAM is an important application on an embedded environment. However, embedded platforms usually fail to provide enough computation resources for high-accuracy real-time dense SLAM, even with high-parallelism architecture such as GPUs. To tackle this problem, one solution is to design proper approximation techniques for dense SLAM on embedded GPUs. In this work, we propose two novel approximation techniques, critical data identification and redundant branch elimination. We also analyze the error characteristics of the other two techniques—loop skipping and thread approximation. Then, we propose SLaPP, an online adaptive approximation controller, which aims to control the error to be under an acceptable threshold. The evaluation shows SLaPP can achieve 2.0× performance speedup and 30% energy saving on average compared to the case without approximation.

scholarly journals Ground state eigenvalue of the anharmonic potential x4+λx6 by high accuracy analytic functions

2020 ◽  
Vol 18 ◽  
pp. 103291
Author(s):  
Pablo Martin ◽  
Daniel Diaz-Almeida ◽  
Fernando Maass
Keyword(s):  
Ground State ◽  
Analytic Functions ◽  
High Accuracy ◽  
Anharmonic Potential

scholarly journals Approximation by Sequence of Operators Involving Analytic Functions

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 188
Author(s):  
Sezgin Sucu ◽  
Serhan Varma
Keyword(s):  
Analytic Functions ◽  
Approximation Techniques ◽  
Operator Sequence

In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived. Moreover, a generalization of this operator sequence called Kantorovich type generalization is introduced.

A New 1,000 kV Electron Microscope

1967 ◽  
Vol 25 ◽  
pp. 260-261
Author(s):  
M. Nishigaki ◽  
S. Katagiri ◽  
H. Kimura ◽  
B. Tadano
Keyword(s):  
Electron Microscope ◽  
High Voltage ◽  
Basic Research ◽  
Chromatic Aberration ◽  
High Accuracy ◽  
Biological Specimen ◽  
Voltage Electron ◽  
High Voltage Electron Microscope ◽  
High Voltage Electron

The high voltage electron microscope has many advantageous features in comparison with the ordinary electron microscope. They are a higher penetrating efficiency of the electron, low chromatic aberration, high accuracy of the selected area diffraction and so on. Thus, the high voltage electron microscope becomes an indispensable instrument for the metallurgical, polymer and biological specimen studies. The application of the instrument involves today not only basic research but routine survey in the various fields. Particularly for the latter purpose, the performance, maintenance and reliability of the microscope should be same as those of commercial ones. The authors completed a 500 kV electron microscope in 1964 and a 1,000 kV one in 1966 taking these points into consideration. The construction of our 1,000 kV electron microscope is described below.

Application Of BIM-Technology In The Restoration Of Buildings

2020 ◽  
pp. 42-48
Keyword(s):  
Chinese Communist Party ◽  
Laser Scanning ◽  
High Accuracy ◽  
Information Environment ◽  
Information Modeling ◽  
Structural Scheme ◽  
Traditional Design ◽  
Information Interaction ◽  
Heritage Buildings ◽  
Effective Organization

The paper describes the main trends in the development of BIM technologies in the field of restoration and reconstruction of historical and cultural heritage buildings. The practical part of the paper presents the experience in using information modeling technologies when restoring the building, where the VI Congress of the Chinese Communist Party in Moscow took place. The use of laser scanning technologies made it possible to reproduce with high accuracy in the information model the original appearance of the building using Autodesk RevitR software. It is shown, how the use of information modeling technologies affects the duration of restoration process, taking into account the calculation of the structural scheme and bearing structures of the building, ensuring the identity of the decoration and the effective organization of electromechanical installation. Operating in a single BIM information environment makes it possible to continuously obtain reliable information on the project, which provides more effective information interaction and communication of participants compared to using traditional design methods.

Sign in / Sign up

Export Citation Format

Share Document