Polynomial structure of Gromov--Witten potential of quintic $3$-folds

The article argues that antonymous words are not isolated in the language but are part of the general scheme of thematic classification of the vocabulary, entering into close ties with representatives of synonymous and polysemantic groups. Proof of this position is the availability of antonymous-synonymous blocks and paradigms of meanings of antonymous words-polysemants in the language. This fact serves to understand the antonymy of lexical as a relationship between members of opposing dichotomous series, as well as expands the boundaries of closed binary structures, which are traditionally used to make antonymous connections. Antonymous relations are established to connect two opposites in pairs, as well as to combine several units into one polynomial structure. Words are found to have more antonyms than the corresponding number of meanings. This proves that some semes of one word are opposed by two or more synonymous antonyms. From the above-mentioned, it follows that the antonyms of polysemous words can be stated only within one family. Such a framework can be defined by limiting the range of antonymous units to a third common concept, under which two antonyms are summed up; establishing the antonyms of polysemous words through the contextual indicative minimum; distinguishing between the direct and figurative meaning of the word. The antonymous connections within the framework of the synonymous-antonymous paradigm are established to demonstrate a qualitatively heterogeneous character, differ in the strength of the manifestation of the relations of opposites and the frequency of practical implementation. The analysis of the manifestations of antonyms between the members of the dichotomous synonymous series allows distinguishing the following types: radial, linear, and cross radial. It is proved that the quantitative indicator of the formation of certain antonymous pairs from among the members of synonymous series depends on the volume of the synonymous series being compared, from the nature of semantic differences of the words of each series, from the emotional, evaluative, and stylistic characteristics of the members of the series, and the distribution of the words with relatively opposite meanings.

First-crossing and ballot-type results for some nonstationary sequences

Advances in Applied Probability ◽

10.1017/s0001867800001853 ◽

2007 ◽

Vol 39 (02) ◽

pp. 492-509 ◽

Cited By ~ 1

Author(s):

Claude Lefèvre

Keyword(s):

Time Distribution ◽

Numerical Evaluation ◽

Random Variables ◽

Parametric Family ◽

Partial Sums ◽

Variable Parameters ◽

Type Formula ◽

Polynomial Structure ◽

Crossing Time ◽

First Crossing Time

In this paper we consider the problem of first-crossing from above for a partial sums process m+S t , t ≥ 1, with the diagonal line when the random variables X t , t ≥ 1, are independent but satisfying nonstationary laws. Specifically, the distributions of all the X t s belong to a common parametric family of arithmetic distributions, and this family of laws is assumed to be stable by convolution. The key result is that the first-crossing time distribution and the associated ballot-type formula rely on an underlying polynomial structure, called the generalized Abel-Gontcharoff structure. In practice, this property advantageously provides simple and efficient recursions for the numerical evaluation of the probabilities of interest. Several applications are then presented, for constant and variable parameters.

Polynomial structure of the (open) topological string partition function

Journal of High Energy Physics ◽

10.1088/1126-6708/2007/10/045 ◽

2007 ◽

Vol 2007 (10) ◽

pp. 045-045 ◽

Cited By ~ 27

Author(s):

Murad Alim ◽

Jean Dominique Länge

Keyword(s):

Partition Function ◽

Topological String ◽

Polynomial Structure

Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups

In the Tradition of Ahlfors-Bers, VI - Contemporary Mathematics ◽

10.1090/conm/590/11738 ◽

2013 ◽

pp. 87-99

Author(s):

Thomas Koberda

Keyword(s):

Nilpotent Groups ◽

Polynomial Structure

Modeling and simulating dynamics of lithium-ion batteries using block-oriented models with piecewise linear static nonlinearity

E3S Web of Conferences ◽

10.1051/e3sconf/202128005004 ◽

2021 ◽

Vol 280 ◽

pp. 05004

Author(s):

Oleksii Mykhailenko

Keyword(s):

Power Systems ◽

Power Plants ◽

Piecewise Linear ◽

Lithium Ion ◽

Weather Conditions ◽

Parametric Identification ◽

Rechargeable Batteries ◽

Wiener System ◽

Polynomial Structure ◽

Variable Nature

The article deals with the research of the efficiency of modelling the dynamics of voltage change in lithium-ion rechargeable batteries in charging/discharging modes using nonlinear block-oriented systems. Drawing on experimental data, a structural and parametric identification of the Hammerstein, Wiener and Hammerstein-Wiener models with a polynomial structure of the linear dynamic block and piecewise linear static nonlinearities was performed. It has been established that the best modelling accuracy was ensured by using the Hammerstein-Wiener system with a linear model having the 6th order of the numerator and denominator polynomials and an input delay of 3 samples. It showed 15.67% and 6.2% higher accuracy compared to the Wiener and Hammerstein systems, respectively. The application of those models in battery management systems will make it possible to improve the control quality for battery assemblies of solar and wind power plants in the context of the variable nature of the charging/discharging processes due to the variability of weather conditions and fluctuations in power consumption during a 24-hour period. This will ensure a wider introduction of renewable power generation into existing power systems, which is currently the leading way to ensure sustainable development of the energy sector.

Robust stabilization and tracking control schemes for disturbed multi-input multi-output Hammerstein model in presence of approximate polynomial nonlinearities

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651820966241 ◽

2020 ◽

pp. 095965182096624

Author(s):

Chekib Ghorbel ◽

Zeineb Rayouf ◽

Naceur Benhadj Braiek

Keyword(s):

Tracking Control ◽

Robust Stabilization ◽

Disturbance Attenuation ◽

Hammerstein Model ◽

Linear Matrix ◽

Inversion Method ◽

Unknown Parameters ◽

Linear Dynamic ◽

Polynomial Structure ◽

Approximate Polynomial

This article presents robust stabilization and tracking control problems for multi-input multi-output Hammerstein model with external disturbances. This model is characterized by static nonlinear elements followed by a linear dynamic block. Moreover, the unknown parameters of the identified mathematical model are estimated using the multivariable output error state space subspace algorithm. Unlike the general control strategy that used the nonlinearity inversion method, the nonlinearities are supposed not bijective. In this context, inverse nonlinear functions of polynomial structure are suggested in this article. Furthermore, the composition of the static nonlinear elements and their approximate inverses in series with the linear dynamic block are then decomposed into a set of linear parts using the Takagi–Sugeno fuzzy representation. Consequently, new sufficient stability conditions with decay rate and disturbance attenuation using the [Formula: see text] criterion and linear matrix inequality tools are discussed. Finally, simulation studies are provided to illustrate the merit of our purpose.

Relative t-designs in Johnson association schemes for P-polynomial structure

Designs Codes and Cryptography ◽

10.1007/s10623-020-00766-3 ◽

2020 ◽

Vol 88 (10) ◽

pp. 2101-2118

Author(s):

Yan Zhu ◽

Naoki Watamura

Keyword(s):

Association Schemes ◽

Polynomial Structure

Population Age Structure and Greenhouse Gas Emissions from Road Transportation: A Panel Cointegration Analysis of 21 OECD Countries

International Journal of Environmental Research and Public Health ◽

10.3390/ijerph17217734 ◽

2020 ◽

Vol 17 (21) ◽

pp. 7734

Author(s):

Hyungwoo Lim ◽

Jaehyeok Kim ◽

Ha-Hyun Jo

Keyword(s):

Greenhouse Gas ◽

Age Structure ◽

Fuel Economy ◽

Ghg Emissions ◽

Oecd Countries ◽

Ordinary Least Squares ◽

Cointegration Analysis ◽

Road Transportation ◽

Polynomial Structure ◽

Effect Of Age

Using panel data from 21 Organization for Economic Cooperation and Development (OECD) countries collected between 2000 and 2016, this study analyzes the effect of age structure on greenhouse gas (GHG) emissions from road transportation. Previous studies have failed to reflect the driver’s behavior patterns, especially by age group. We apply the Fully-Modified Ordinary Least Squares (FMOLS) method, including the age structure effect by reorganizing 17 age groups into a polynomial structure. The age structure exhibits an asymmetric inverted U-shaped effect on GHG emissions. Initially, people emit more GHGs as they age, and reach peak emissions in their late 20s, after which emissions fall until around the age of 70, when GHG emissions remain constant because of minimum mobility demand. Factors, such as higher income, increased vehicle ownership, and raised transport volumes increase emission rates. On the other hand, fuel transition and increased fuel price, population density, urbanization rate, and fuel economy reduce GHG emissions. Furthermore, we perform a projection of GHG emissions until 2050, and conclude that the effect of age structure is limited because of the minimum mobility demand of the elderly. We conclude that various policy measures, such as increased fuel economy and urbanization, must be considered in order to achieve sustainable transport

Modeling developmental changes in strength and aerobic power in children

Journal of Applied Physiology ◽

10.1152/jappl.1998.84.3.963 ◽

1998 ◽

Vol 84 (3) ◽

pp. 963-970 ◽

Cited By ~ 61

Author(s):

Alan M. Nevill ◽

Roger L. Holder ◽

Adam Baxter-Jones ◽

Joan M. Round ◽

David A. Jones

Keyword(s):

Body Size ◽

Multilevel Model ◽

Aerobic Power ◽

Peak Height ◽

Height Velocity ◽

Additional Contribution ◽

Multilevel Regression ◽

Peak Height Velocity ◽

Polynomial Structure ◽

Model Structures

The present study examined two contrasting multilevel model structures to describe the developmental (longitudinal) changes in strength and aerobic power in children: 1) an additive polynomial structure and 2) a multiplicative structure with allometric body size components. On the basis of the maximum log-likelihood criterion, the multiplicative “allometric” model was shown to be superior to the additive polynomial model when fitted to the data from two published longitudinal studies and to provide more plausible solutions within and beyond the range of observations.The multilevel regression analysis of study 1 confirmed that aerobic power develops approximately in proportion to body mass, m 1/3. The analyses from study 2 identified a significant increase in quadriceps and biceps strength, in proportion to body size, plus an additional contribution from age, centered at about peak height velocity (PHV). The positive “age” term for boys suggested that at PHV the boys were becoming stronger in the quadriceps and biceps in relation to their body size. In contrast, the girls’ age term was either negligible (quadriceps) or negative (biceps), indicating that at PHV the girls’ strength was developing in proportion to or, in the case of the biceps, was becoming weaker in relation to their body size.

Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors

Mathematical Problems in Engineering ◽

10.1155/2020/6417860 ◽

2020 ◽

Vol 2020 ◽

pp. 1-8

Author(s):

Ricardo Aguilar-López ◽

Edgar N. Tec-Caamal ◽

M. Isabel Neria-González

Keyword(s):

Closed Loop ◽

Linear Models ◽

Biofuel Production ◽

Output Controller ◽

Satisfactory Performance ◽

Polynomial Structure ◽

Biochemical Reactors ◽

Error Terms ◽

Acetone Butanol Ethanol ◽

Modelling Error

The purpose of this paper is to present an observer-based control design with application to continuous bioreactors. For this purpose, phenomenological bioreactor models were represented by identified linear models plus unknown modelling error terms. Therefore, an uncertainty-based observer with a polynomial structure capable of estimating the unknown modelling error of the reactor representation is coupled to a linear input-output controller. The proposed methodology was evaluated in a sulphate reduction bioprocess and an acetone-butanol-ethanol (ABE) fermentation process for butanol (biofuel) production, under continuous regimes. Experimentally validated mathematical models were considered for this purpose. A theoretical framework is presented to demonstrate the corresponding closed-loop stability of the systems, and numerical simulations were carried out to corroborate the satisfactory performance of the proposed methodology.