A continuous selection of the metric projection in matrix spaces, addendum

1990 ◽  
Vol 57 (1) ◽  
pp. 663-667 ◽  
Author(s):  
H. Berens ◽  
M. Finzel
2008 ◽  
Vol 41 (2) ◽  
pp. 9707-9712 ◽  
Author(s):  
Pierre Masci ◽  
Olivier Bernard ◽  
Frédéric Grognard

2018 ◽  
Vol 18 (06) ◽  
pp. 1850047 ◽  
Author(s):  
Mariusz Michta ◽  
Kamil Łukasz Świa̧tek

In the paper we study properties of solutions to stochastic differential inclusions and set-valued stochastic differential equations driven by a two-parameter Wiener process. We establish new connections between their solutions. We prove that attainable sets of solutions to such inclusions are subsets of values of multivalued solutions of associated set-valued stochastic equations. Next we show that every solution to stochastic inclusion is a continuous selection of a multivalued solution of an associated set-valued stochastic equation. Additionally we establish other properties of such solutions. The results obtained in the paper extends results dealing with this topic known both in deterministic and stochastic cases.


2020 ◽  
Vol 100 (1) ◽  
pp. 56-67 ◽  
Author(s):  
Gareth Davis ◽  
Jocelyne Letarte ◽  
Christopher M. Grainger ◽  
Istvan Rajcan ◽  
François J. Tardif

The apparent efficacy of linuron to control pigweeds (Amaranthus spp.) has declined in Ontario, Canada, in past decades, possibly due to resistance. Samples were collected in multiple fields across Ontario with reported linuron failure. These were characterized at the whole-plant and molecular levels. Screening with linuron revealed resistance in six out of nine green pigweed (Amaranthus powellii Wats.) populations and 36 out of 38 populations of redroot pigweed (Amaranthus retroflexus L.). Sequencing of the psbA gene showed resistant plants had mutations conferring resistance to photosystem II (PSII) inhibitors. The most commonly seen mutation was coding for a Val219Ile substitution, while other populations had Ala251Val or Phe274Val. Two populations were documented with a double mutation at Val219Ile and Phe274Val. All substitutions endowed plants with low to moderate resistance to linuron, with various levels of cross resistance to other PSII inhibitors. The double mutants were characterized by higher levels of resistance to linuron and diuron compared with each single substitution. The widespread failure of linuron to control pigweed species in many carrot fields in Ontario is due to the selection of PSII mutants. This is the first report of double mutation in psbA in any weed species and the first report of Ala251Val and Phe273Val in pigweed species. The presence of a double mutation is probably the result of continuous selection of plants already resistant due to a single mutation. Our results illustrate the need for diversified weed management strategies in crops where herbicide options are limited.


Author(s):  
Aleksey V. Razduev ◽  
Eugenia G. Sharanova

The analysis of the semantics and semantic oppositions of terminological units is one of the most productive ways to understand the systemic nature of terminological phenomena. The article is devoted to the study of semantic features of English- and Russian-language musical terminological units, namely, to the identification of the semantic structure of terms and semantic oppositions that arise between them. Within the semantic structure of musical terms, in the aggregate of their connections and relationships that form the musical terminological system, the core, semantic periphery and additional semantic area are distinguished and classified according to the presence of these components into uninuclear proper, uninuclear with the periphery and uninuclear with the periphery and additional semantic area. At the first stage, a selection of musical terms in modern English and Russian has been compiled, at the second stage, the semantic structure of terminological units has been analyzed, and at the third stage, the key aspects of nomination have been identified, according to which explicit and implicit oppositions are being formed. The material for the study comprises a selection of the English- and Russian-language musical terminological units with the total volume of 1000 units (500 units of each language), selected by the method of continuous selection from electronic and printed sources, including dictionaries and glossaries, musical notations, monographs, textbooks and manuals, web portals on music topics. The research methods of the English- and Russian-language musical terminological units include the method of continuous selection, methods of component and definition analysis, the method of linguacognitive modelling, as well as techniques of quantitative analysis. Within the framework of the study, three groups of musical terms have been identified depending on their semantic structure: the first group includes uninuclear terminological units with the semantic periphery, the second group includes uninuclear terms proper, and the third group is formed by uninuclear terms with the periphery and additional area of semantics. The first group is predominant in terms of quantity, the number of terms in which is almost 2.5 times more than in the second one, and the third group is represented by a small number of terminological units. There are at least 6 frequent and 12 less frequent key aspects of nomination within the musical terminology. The frequent key aspects of nomination with the help of which explicit oppositions are formed are: «Minor / major», «Volume / pitch», «Direction», «Location (locus)», «Singularity / Multiplicity», «Quantity». Less frequent aspects of nomination are: «Weakness / strength», «Perfection / imperfection», «Colour», «Presence / absence of sound», «Structure», «Quantity / Completeness / Size», «Genre of music», «Material», «Recommendations for performing a piece of music», «Role», «Style of playing an instrument», «Type of musical instrument».


1966 ◽  
Vol 43 (2) ◽  
pp. 424-434 ◽  
Author(s):  
P.E. Lindahl ◽  
L. Sörenby

Sign in / Sign up

Export Citation Format

Share Document