Stability Testing of 2D Filters Based on Tschebyscheff Polynomials and Generalized Eigenvalues

This paper is dedicated to the issues of designing of outriggers for avoidance of vehicle tilting during its stability tests. An analysis of existing types of outriggers was done by authors as well as legislative requirements on them. The reliable and well-timed operation of outriggers largely depends on the height of their positioning on a vehicle. In order to determine this important parameter a special methodic of determining the tipping angle of the vehicle with the use of computer-aided design (CAD) was composed by authors. The article also contains some main principles of strength analysis of the structure a very important part of which became the necessity of determination of coefficient of friction between the outrigger sliders and the supporting surface. This coefficient has a direct impact on the value of transverse forces appearing at the ends of outrigger beams.

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Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝN

Advances in Calculus of Variations ◽

10.1515/acv-2020-0035 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Anup Biswas ◽

Prasun Roychowdhury

Keyword(s):

Eigenvalue Problem ◽

Principal Eigenvalue ◽

Unbounded Domains ◽

Elliptic Operators ◽

Maximum Principles ◽

Generalized Eigenvalues ◽

Nonlinear Elliptic ◽

Generalized Eigenvalue ◽

General Convex ◽

Appl Math

AbstractWe study the generalized eigenvalue problem in {\mathbb{R}^{N}} for a general convex nonlinear elliptic operator which is locally elliptic and positively 1-homogeneous. Generalizing [H. Berestycki and L. Rossi, Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains, Comm. Pure Appl. Math. 68 2015, 6, 1014–1065], we consider three different notions of generalized eigenvalues and compare them. We also discuss the maximum principles and uniqueness of principal eigenfunctions.

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Plant Variety Protection: Current Practices and Insights

Genes ◽

10.3390/genes12081127 ◽

2021 ◽

Vol 12 (8) ◽

pp. 1127

Author(s):

Ju-Kyung Yu ◽

Yong-Suk Chung

Keyword(s):

Molecular Markers ◽

Intellectual Property ◽

Stability Testing ◽

International Union ◽

Plant Variety Protection ◽

Common System ◽

Continuous Innovation ◽

Plant Variety ◽

New Varieties ◽

Variety Protection

Breeders persistently supply farmers with the best varieties in order to exceed consumer demand through plant-breeding processes that are resource-intensive. In order to motivate continuous innovation in variety development, a system needs to provide incentives for plant breeders to develop superior varieties, for example, exclusive ownership to produce and market those varieties. The most common system is the acquisition of intellectual property protection through plant variety protection, also known as the breeder’s right. Most countries have adopted the system established by the International Union for the Protection of New Varieties of Plants (UPOV). To be granted plant variety protection, the variety should prove to be unique by meeting three requirements: distinctness, uniformity, and stability. This review summarizes (1) the plant variety protection via UPOV convention, (2) technical methods for distinctness, uniformity, and stability testing via phenotype, molecular markers, and sequencing as well as their challenges and potentiality, and (3) additional discussions in essentially derived variety, value for cultivation and use testing, and open source seed initiative.

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