Priority and correctness on "From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class" by Porcu and Schilling (2011, arXiv:0812.2936)
Chunsheng Ma
TL;DR
This paper emphasizes the importance of priority, originality, and correctness in mathematical research, specifically addressing the theorems related to variogram classes discussed by Porcu and Schilling.
Contribution
It highlights issues of priority and correctness in the theorems presented in Porcu and Schilling's work on variogram classes.
Findings
Six out of seven theorems are not original to the authors
The paper calls for proper attribution and verification of mathematical results
Emphasizes the need for rigorous proof and originality in mathematical research
Abstract
It is not the purpose of this correspondence to complain about that six out of seven theorems listed in Porcu and Schilling (arXiv:0812.2936; 2011, Bernoulli) belong to others, but not to the authors themselves. This is simply a call for the priority, originality, and correctness.
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Taxonomy
TopicsScientific Research and Discoveries · Advanced Mathematical Modeling in Engineering · Nonlinear Dynamics and Pattern Formation