Beyond the Gaussian II : A Mathematical Experiment
Kazuyuki Fujii (Yokohama City University), Hiroshi Oike
TL;DR
This paper investigates a non-Gaussian quartic integral, exploring whether it can be expressed using its discriminant through mathematical experimentation with MATHEMATICA.
Contribution
It provides an experimental analysis of a quartic integral's relation to its discriminant, extending previous Gaussian-based studies.
Findings
The integral's expression in terms of the discriminant is examined.
MATHEMATICA is used to test the relationship experimentally.
Insights into non-Gaussian integral representations are gained.
Abstract
This is a sequel to the paper [K. Fujii : SIGMA {\bf 7} (2011), 022, 12 pages]. In this paper we treat a non-Gaussian integral based on a quartic polynomial and make a mathematical experiment by use of MATHEMATICA whether the integral is written in terms of its discriminant or not.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Numerical Methods and Algorithms