An improvement in the lattice construction process of approximate polynomial GCD over integers

2011 ◽  
Author(s):  
Kosaku Nagasaka
Keyword(s):  
Construction Process ◽  
Approximate Polynomial ◽  
Lattice Construction ◽  
Polynomial Gcd

scholarly journals Approximate polynomial GCD over integers

2011 ◽  
Vol 46 (12) ◽  
pp. 1306-1317 ◽  
Author(s):  
Kosaku Nagasaka
Keyword(s):  
Approximate Polynomial ◽  
Polynomial Gcd

scholarly journals Approximate Gröbner Bases, Overdetermined Polynomial Systems, and Approximate GCDs

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Daniel Lichtblau
Keyword(s):  
Relative Error ◽  
Gröbner Bases ◽  
Approximate Solutions ◽  
Polynomial Systems ◽  
Grobner Bases ◽  
Polynomial Equations ◽  
Secondary Feature ◽  
Approximate Polynomial ◽  
Polynomial Gcd ◽  
Systems Of Polynomial Equations

We discuss computation of Gröbner bases using approximate arithmetic for coefficients. We show how certain considerations of tolerance, corresponding roughly to absolute and relative error from numeric computation, allow us to obtain good approximate solutions to problems that are overdetermined. We provide examples of solving overdetermined systems of polynomial equations. As a secondary feature we show handling of approximate polynomial GCD computations, using benchmarks from the literature.

Development and Application of Quality Control System for Highway Subgrade Construction

2019 ◽  
Vol 2 (5) ◽  
Author(s):  
Tong Wang
Keyword(s):  
Quality Control ◽  
Real Time ◽  
Detection Method ◽  
System Development ◽  
Effective Control ◽  
Construction Process ◽  
Development Mode ◽  
The Road ◽  
Whole Process

The compaction quality of the subgrade is directly related to the service life of the road. Effective control of the subgrade construction process is the key to ensuring the compaction quality of the subgrade. Therefore, real-time, comprehensive, rapid and accurate prediction of construction compaction quality through informatization detection method is an important guarantee for speeding up construction progress and ensuring subgrade compaction quality. Based on the function of the system, this paper puts forward the principle of system development and the development mode used in system development, and displays the development system in real-time to achieve the whole process control of subgrade construction quality.

Sign in / Sign up

Export Citation Format

Share Document