Relaxed Stability Criteria for Time-Delay Systems:A Novel Quadratic Function Convex Approximation Approach

This paper develops a quadratic function convex approximation approach to deal with the negative definite problem of the quadratic function induced by stability analysis of linear systems with time-varying delays.By introducing two adjustable parameters and two free variables,a novel convex function greater than or equal to the quadratic function is constructed,regardless of the sign of the coefficient in the quadratic term.The developed lemma can also be degenerated into the existing quadratic function negative-determination(QFND)lemma and relaxed QFND lemma respectively,by setting two adjustable parameters and two free variables as some particular values.Moreover,for a linear system with time-varying delays,a relaxed stability criterion is established via our developed lemma,together with the quivalent reciprocal combination technique and the Bessel-Legendre inequality.As a result,the conservatism can be reduced via the proposed approach in the context of constructing Lyapunov-Krasovskii functionals for the stability analysis of linear time-varying delay systems.Finally,the superiority of our results is illustrated through three numerical examples.

Tailoring MXene Thickness and Functionalization for Enhanced Room‑Temperature Trace NO_(2) Sensing

In this study,precise control over the thickness and termination of Ti3C2TX MXene flakes is achieved to enhance their electrical properties,environmental stability,and gas-sensing performance.Utilizing a hybrid method involving high-pressure processing,stirring,and immiscible solutions,sub-100 nm MXene flake thickness is achieved within the MXene film on the Si-wafer.Functionalization control is achieved by defunctionalizing MXene at 650℃ under vacuum and H2 gas in a CVD furnace,followed by refunctionalization with iodine and bromine vaporization from a bubbler attached to the CVD.Notably,the introduction of iodine,which has a larger atomic size,lower electronegativity,reduce shielding effect,and lower hydrophilicity(contact angle:99°),profoundly affecting MXene.It improves the surface area(36.2 cm^(2) g^(-1)),oxidation stability in aqueous/ambient environments(21 days/80 days),and film conductivity(749 S m^(-1)).Additionally,it significantly enhances the gas-sensing performance,including the sensitivity(0.1119Ωppm^(-1)),response(0.2% and 23%to 50 ppb and 200 ppm NO_(2)),and response/recovery times(90/100 s).The reduced shielding effect of the–I-terminals and the metallic characteristics of MXene enhance the selectivity of I-MXene toward NO2.This approach paves the way for the development of stable and high-performance gas-sensing two-dimensional materials with promising prospects for future studies.

Effect of two surgical approaches on the lung function and prognosis of patients with combined esophagogastric cancer

BACKGROUND Adenocarcinoma of the esophagogastric junction has a center of origin within 5 cm of the esophagogastric junction.Surgical resection remains the main treatment.A transthoracic approach is recommended for Siewert I adenocarcinoma of the esophagogastric junction and a transabdominal approach is recommended for Siewert III adenocarcinoma of the esophagogastric junction.However,there is a need to determine the optimal surgical approach for Siewert II adenocarcinoma of the esophagogastric junction to improve lung function and the prognosis of patients.AIM To investigate and compare the surgical effects,postoperative changes in pulmonary function,and prognoses of two approaches to treating combined esophagogastric cancer.METHODS One hundred and thirty-eight patients with combined esophagogastric cancer treated by general and thoracic surgeries in our hospital were selected.They were divided into group A comprising 70 patients(transabdominal approach)and group B comprising 68 patients(transthoracic approach)based on the surgical approach.The indexes related to surgical trauma,number of removed lymph nodes,indexes of lung function before and after surgery,survival rate,and survival duration of the two groups were compared 3 years after surgery.RESULTS The duration of surgery,length of hospital stay,and postoperative drainage duration of the patients in group A were shorter than those of the patients in group B,and the volume of blood loss caused by surgery was lower for group A than for group B(P<0.05).At the one-month postoperative review,the first second,maximum ventilation volume,forceful lung volume,and lung volume values were higher for group A than for group B(P<0.05).Preoperatively,the QLQ-OES18 scale scores of the patients in group A were higher than those in group B on re-evaluation at 3 mo postoperatively(P<0.05).The surgical complication rate of the patients in group A was 10.00%,which was lower than that of patients in group B,which was 23.53%(P<0.05).CONCLUSION Transabdominal and transthoracic surgical approaches are comparable in treating combined esophagogastric cancer;however,the former results in lesser surgical trauma,milder changes in pulmonary function,and fewer complications.

Lychrel Numbers in Base 10: A Probabilistic Approach

For decades, Lychrel numbers have been studied on many bases. Their existence has been proven in base 2, 11 or 17. This paper presents a probabilistic proof of the existence of Lychrel number in base 10 and provides some properties which enable a mathematical extraction of new Lychrel numbers from existing ones. This probabilistic approach has the advantage of being extendable to other bases. The results show that palindromes can also be Lychrel numbers.

Analysis of radial basis function interpolation approach

The radial basis function （RBF） interpolation approach proposed by Freedman is used to solve inverse problems encountered in well-logging and other petrophysical issues. The approach is to predict petrophysical properties in the laboratory on the basis of physical rock datasets, which include the formation factor, viscosity, permeability, and molecular composition. However, this approach does not consider the effect of spatial distribution of the calibration data on the interpolation result. This study proposes a new RBF interpolation approach based on the Freedman＇s RBF interpolation approach, by which the unit basis functions are uniformly populated in the space domain. The inverse results of the two approaches are comparatively analyzed by using our datasets. We determine that although the interpolation effects of the two approaches are equivalent, the new approach is more flexible and beneficial for reducing the number of basis functions when the database is large, resulting in simplification of the interpolation function expression. However, the predicted results of the central data are not sufficiently satisfied when the data clusters are far apart.

Skopos:The Central Theory of Functional Approach

Skopos is the central theory of functional approach. In this article, firstly, it will discuss Katharina Reiss's Skopostheorie. Secondly, it will explain Has. J. Vermeer's Skopostheorie. Thirdly, it will analyze Justa Holz-Manttari and Chrisriane Nord's Skopostheorie. Finally, it will give some opinions the importance and practicality of Skopostheorie in the translating.

Functional Approach to the C-E Translation of Tourist Material

Tourist material has its own text features.To translate tourist material is to achieve its purpose by transferring its pragmatic force,which is determined by text features and functions of tourist material.Which strategies exactly should be used in a certain circumstance is not important provided the pragmatic force is transmitted successfully.

The Development of Meta-functional Approaches in Translation Studies

Functional linguistics has exerted an increasing impact on modern linguistic studies.Functional approaches,especially metafunctions have undergone a process of development and improvement.The affirmation of the metafunctions of language has aroused more and more scholars'concern on the"functional"facet of language,especially in Translation studies.The formation and improvement of functional approaches are introduced separately.

The Application of Cognitive-Functional Approach in College English Teaching

The Cognitive-Functional Approach combines the linguistic views of two major linguistic theories,formalism linguistics and functional linguistics.This approach fully exerts the innate language competence of foreign language learners,help learners to set the language parameter of the target language and explore the rules of target language actively.On the other hand,this approach also advocates the ability of foreign language learners to choose the proper language form in a specific language environment and to train learners'communicative competence.

A hyperbolic function approach to constructing exact solitary wave solutions of the Hybrid lattice and discrete mKdV lattice

Some new exact solitary wave solutions of the Hybrid lattice and discrete mKdV lattice are obtained by using a hyperbolic function approach. This approach can also be applied to other nonlinear differential-difference equations.

A DUAL-RELAX PENALTY FUNCTION APPROACH FOR SOLVING NONLINEAR BILEVEL PROGRAMMING WITH LINEAR LOWER LEVEL PROBLEM

The penalty function method, presented many years ago, is an important nu- merical method for the mathematical programming problems. In this article, we propose a dual-relax penalty function approach, which is significantly different from penalty func- tion approach existing for solving the bilevel programming, to solve the nonlinear bilevel programming with linear lower level problem. Our algorithm will redound to the error analysis for computing an approximate solution to the bilevel programming. The error estimate is obtained among the optimal objective function value of the dual-relax penalty problem and of the original bilevel programming problem. An example is illustrated to show the feasibility of the proposed approach.

Ideal Spin Hydrodynamics from the Wigner Function Approach

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Compared with ideal hydrodynamics without spin, additional terms at the first and second orders in the Knudsen number Κ_(n) and the average spin polarization Χ_(s) have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motion for these parameters are derived by conservation laws at the leading and next-to-leading order Κ_(n) and Χ_(s).

A functional approach to improving non-English majors＇ writing proficiency

Problems in generating and organizing ideas, in coherence and language competence are common in non-English majors＇ writings. To improve their writing proficiency, the writing course should have real-life purposes, balance between real and display writing, between product and process approaches, vary writing activities, train strategies in improving coherence, balance the content of feedback and use various forms of feedback.

Approaches to Pendent Groups' Functionalization of Polyimide

Pendent groups' functionalization of polyimide is an optimum approach to improve its processability and achieve functionalized polyimide materials. There are two types of modification routes for pendent groups' functionalization of polyimide: monomer route and macromolecular route. In this paper, various approaches for pendent groups' functionalization of polyimide are introduced. At the same time, a new method to achieve functional polyimide materials without decreasing its thermal stability and mechanical properties is mentioned.

New Approach for China's Agricultural Modernization Practice from the Perspective of Multiplex Function

This paper analyzes the multiplex composite function of agriculture comprehensively as follows.The first is political function:it can ensure the national food security;the second is economic function:it can promote agricultural competitiveness and increase farmers' income;the third is social function:it can promote the construction of new socialist village;the fourth is ecological function:it can conserve the resources environment and guarantee sustainable development of agriculture.In terms of reference of international theory and the main innovative experience of domestic agricultural modernization practice,this paper points out the new approach for agricultural modernization practice in China,and puts forward institutional guarantee based on agricultural multiplex function as follows:we should gradually promote new land system taking land transfer as major content;we should establish rational transfer system of rural labour forces;we should establish virtuous circular agricultural financial credit system;we should hew to the innovation and promotion system of agricultural technology;we should establish strict the system of resources environment and ecological protection;we should establish the agricultural risk security system.

Computer-Based Modelling of Network Functions for Linear Dynamic Circuits Using Modified Nodal Approach

In this paper,a computer-based systematic and efficient formulation method is presented for obtaining the network functions of linear or linearized time-invariant dynamic circuits.The method employs the modified nodal approach to obtain the system equations.The technique is based on developing a matrix formulation for modelling network functions.By using both symbolic manipulation of algebraic expressions and numeric processes,the network functions are expressed with a matrix-based method.Application examples are given to illustrate the features of the method.

Spectral Characteristics of the Best Affine Approach of Multi-Output m-Valued Logical Functions

This paper discusses the best affine approach （BAA） of multi-output m-valued logical functions. First, it gives the spectra of rate of accordance between multi-output m-valued logical functions and their affine functions, then analyzes the BAA of multi-output m-valued logical functions and finally gives the spectral characteristics of BAA of multi-output m-valued logical functions.

Vertical impedance functions of pile groups under low-to-high loading amplitudes:numerical simulations and experimental validation

Piles in a group experience additional displacements in soil due to pile-to-pile interactions apart from those resulting from the external loading.The effect of these interactions determined assuming soil as an elastic and/or viscoelastic material on pile head impedance functions of the pile group is studied by relating the group stiffness to the static stiffness of a single pile.However,the prevailing elastic solutions may misestimate the resulting pile group response due to the lack of consideration for either soil(material)and/or soil-pile interface nonlinearities.It is well established that soil behaves nonlinearly under moderate-to-high loading amplitudes,and besides,the soil-pile interface nonlinearity can exist even at small loading amplitudes.This study addresses the effects of these nonlinearities on the vertical impedance functions of a 3×3-pile group using numerical methods by direct analyses and superposition using pile-to-pile interaction factors.The numerical results are validated using scaled model tests under 1 g conditions.The results highlight the overestimation of pile-to-pile interactions in the pile group when assuming elastic soil conditions.The cases either by direct analyses or superposition approach involving soil and soil-pile interface nonlinearities agree well with the experimental pile group responses under close-to-elastic and nonlinear conditions.

FUZZY APPROACHING SET AND FUZZYAPPROACHING FUNCTIONAL MAPPING

By establishing the concepts of fuzzy approaching set and fuzzy approaching functional mapping and making research on them, a new method for time series prediction is introduced.

A Novel Approach for Evaluation of Food Functions and Safety Applied in RR GM Soybeans

[Objective] This study aimed to evaluate tbe healthy risk of genetically modified （ GM ） soybeans by using a novel approach for functions and safety of food. [ Me^od] Different from traditional evaluation of substantial equivalence, three great innovations were performed in this study, involving in basic diet, evalu- ation approaches and principle, as well as the clarification of connotation differences between absolute and relative mass of organs. Hence a novel BDI-GS （Bendib Damage Index and General Score） evaluation approach was established and applied in comparative evaluation between RR GM and natural soybeans. Healthy male ICR mice during linear growth were selected; experimental mice were fed with 15% RR GM soybeans and 15% natural soybeans blending maize meal diets, and control mice were fed with single maize meal diet for 13 d; the mice were dissected after collecting blood samples and perfectly obtained nine organs or tissues to re- cord their masses and conduct statistical analyses. [Result] Plenty of matching information was obtained through simple design. The growth performance of treated mice was markedly of individual differences, some mice were thwarted due to regular intake of RR soybeans. Meanwhile, the functions and safety of RR soybeans were markedly lowered in overall nutritional and healthy effects than those of natural soybeans expressed in GS values, and presents some declines in nutrition and health of thymus, pancreas and spermary; especially, it can make thymus immune （P 〈0.05） in markedly lower level than that of natural soybeans. [ Conclusion] Therefore, major troubles and risks of RR soybeans intake are of personal risks in different degrees, in addition, it may increase sub-health and related chronic epi- demics risks, and herein it will presents certain safety issues. The creation of this novel evaluation system provides a simple and available evaluation approach for functions and potential risks revelation of food effects, and will yield far-reaching influences to safety evaluation and healthy development of GM foods, as well as public health.