Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
A Refinement of the Conjecture on the Pseudo Component Transformation of the Lattice Points in the Simplex
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- Sep-2020
- Publisher
- MDPI
- Keywords
- mixture experiments; lattice points; pseudo component transformation
- Citation
- SYMMETRY-BASEL, v.12, no.9
- Indexed
- SCIE
SCOPUS
- Journal Title
- SYMMETRY-BASEL
- Volume
- 12
- Number
- 9
- ISSN
- 2073-8994
- Abstract
- We consider mixture experiments in which the proportions of the components must be non-negative and their sum must equal one. Thus, the experimental region for a mixture of components is a simplex. Li and Zhang (2017) made the conjecture that the pseudo component transformation of the lattice points in the simplex has a special property. In this paper, we show that this conjecture is not true in general. Furthermore, we refine this conjecture and prove the refined conjecture.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Kim, Ba ra
- College of Science (Department of Mathematics)