GENERAL SOLUTION TO THE GASCA-MAEZTU HYPOTHESIS
DOI:
https://doi.org/10.53555/nnas.v8i2.1362Keywords:
hypothesis, point, line, binary combinations, line coincidence, missing pointAbstract
The article provides proof of hypothesis for any n points and uses a fundamentally new approach to proof. The proof is based on the following two propositions: first, that any line passing through two points coincides, and second, that at least two lines pass through any point in the given situation. And the new approach is that the number of binary combinations of the mentioned n points is limited.
That is, after removing a point, when the remaining points are covered with straight lines, matching lines appear because the binary combinations of points are already repeated. Consequently, there will already be (n + 1) points on some straight lines.
References
J. M. Carnicer and M. Gasca, Classification of bivariate configurations with simple Lagrange interpolation formulae, - Advances in Computational Mathematics, 20 (2004), p. 5-16.
J. M. Carnicer and M. Gasca, On Chung and Yao’s geometric characterization for bivariate polynomial interpolation, - Curve and Surface Design: Saint-Malo 2002 (Tom Lyche, Marie- Laurence Mazure, and Larry L. Schumaker Eds.) (2003), p. 11-30.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Journal of Advance Research in Applied Science
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Terms & Condition
Submission -
Author can submit the manuscript through our online submission process or email us at the designated email id in contact details.
The other mode of submission not accepted than online and email.
Before submission please read the submission guidelines.
NN Publication accepts only article submitted in pdf/doc/docx/rtf file format. Another format except given file formats will no be considered .
Author will be responsible for the error mistakes in the submission files. The minor changes can be done without any cost after publication. But for major changes NN Publication may charges you the editing charges.
Publication (Online) -
The online publication is scheduled on last date of every month, but it can be delayed by 24 to 48 hours due to editorial process if huge number of articles comes to publish in single issue.
Automatic notificatation email will be sent to the all users on publication of an issue, so its author’s duty to check their email inbox or SPAM folder to get this notification.
After publication of article author can not withdraw their article.
If editor’s found any issue after publication of article then the NN Publication have the authority to remove the article from online website.
No refund will be provided after online publication of article.
Publication (Print) -
The print copy publication are sent as per the author’s request after 2 weeks of online publication of that issue.
NN Publication will ship the article by India Post and provide the consignment number on dispatch of print copy.
NN Publication follows all the guidelines of delivery provided by IndiaPost and hence not responsible for delay in delivery due to any kind of reasons.
Refund of hard copy will not be provided after dispatch or print of the journal.
NN Publication will be responsible for raise a complain if there is any issue occurs in delivery, but still will not be responsible for providing the refund.
NN Publication will be responsible to resend the print copy only and only if the print copy is lost or print copy is damaged in delivery / or there is delay more than 6 months.
According to India Post the delivery should be completed with in 1-3 weeks after dispatch of articles.
Privacy Policy-
NN Publicationl uses the email ids of authors and editors and readers for sending editorial or publication notification only, we do not reveal or sell the email ids to any other website or company.
