New Method For Construction Research Articles

Engineering accordion-like Fe-doped NiS2 enabling high-performance aqueous supercapacitors and Zn-Ni batteries

Metal-organic frameworks are of great potential as electrode material in aqueous energy storage applications. In this work, a Fe-doped accordion-like Fe/NiS2 is fabricated by a simple hydrothermal treatment followed by anion exchange strategy. The Fe/NiS2 possesses large specific surface area and enhanced electrical conductivity ascribed to the unique 2D structure and rich defects aroused by Fe doping. By controlling the molar ratio of Ni:Fe to 1:0.01, the obtained Fe0.01NiS2 shows high specific capacitance (1965.9F/g at 0.5 A/g), the assembled Fe0.01NiS2//AC exhibits satisfying specific capacitance (183.11F/g at 0.2 A/g) and cycling property (75.6 % capacitance retention after 15,000 cycles). The aqueous Fe0.01NiS2//Zn also displays high capacity (193.33 mAh g−1 at 0.25 A/g) and cycling stability. The density functional theoretical calculations demonstrate that the Fe-doping can boost the charge storage ability and optimize adsorption energy of OH–. This work reveals a new method for construction of metal ion-doped MOF-based electrode materials for aqueous and other energy storage application.

On gauge-invariant deformation of reducible gauge theories

New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers (Buchbinder and Lavrov in JHEP 06:854, 2021; Buchbinder and Lavrov in Eur Phys J C 81:856, 2021) for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation procedure is explicitly described with the help of generating functions of anticanonical transformations depending on fields of the initial gauge action only. The deformed gauge-invariant action and the deformed gauge generators are described with the help of the generating functions in a closed and simple form. As an example of reducible gauge systems we consider the free fermionic p-form fields or, in another words, the antisymmetric tensor-spinor fields. It is proved that gauge-invariant deformation of fermionic p-form fields leads always to non-local deformed theory which does not contain a closed local sector. In its turn the model based on two fermionic 2-form fields and a real massive scalar field admits local interactions between these fields in local sector of the deformed action.

3D Macroporous Oxidation‐Resistant Ti3C2Tx MXene Hybrid Hydrogels for Enhanced Supercapacitive Performances with Ultralong Cycle Life

AbstractAs a recently emerging group of 2D materials, MXene has attracted extensive attention in the energy storage field in recent years owing to their outstanding features. However, the notorious issues of inevitable oxidation stability and surface‐to‐surface self‐restacking for MXene significantly prevent its further wide‐ranging application. Herein, the 3D macroporous oxidation‐resistant Ti3C2Tx MXene/graphene/carbon nanotube (MRC) hybrid hydrogels are prepared by a simple gelation method assisted by l‐cysteine as crosslinker and l‐ascorbic acid (VC) as reductant. Benefitting from the effectively alleviated restacking, excellent electrical conductivity, and the 3D inter‐crosslinked macroporous architecture, as a supercapacitor electrode, the obtained MRC aerogel exhibits a superior specific capacitance of 349 F g−1, unparalleled rate capability (52.0% at 3000 mV s−1) and amazing cyclic stability (retention of 97.1% after 100 000 cycles). Moreover, the 3D MRC‐30 aerogel exhibits an impressive oxidation‐resistant performance with just a 9.3% increase in electrical resistance after storing in ambient condition for 60 days, effectively alleviating the oxidation problem of MXene. This work demonstrates a new method for construction of 3D oxidation‐resistant MXene hydrogel, shedding new light on the promising applications of MXene materials, especially in high humidity and oxygen environment.

High rank elliptic curves induced by rational Diophantine triples

A rational Diophantine triple is a set of three nonzero rational a,b,c with the property that ab+1, ac+1, bc+1 are perfect squares. We say that the elliptic curve y2 = (ax+1)(bx+1)(cx+1) is induced by the triple {a,b,c}. In this paper, we describe a new method for construction of elliptic curves over ℚ with reasonably high rank based on a parametrization of rational Diophantine triples. In particular, we construct an elliptic curve induced by a rational Diophantine triple with rank equal to 12, and an infinite family of such curves with rank ≥ 7, which are both the current records for that kind of curves.

Assembly of Indole Cores through a Palladium-Catalyzed Metathesis of Ar-X σ-Bonds.

We describe the development of a new method for construction of highly substituted indole scaffolds through the strategic utilizing of the metathesis of Ar-X σ-bonds based on the dynamic nature of palladium-based oxidative addition/reductive elimination. A suitable and simple catalytic system has provided an appropriate platform for a productive ligand exchange and consecutive carbopalladation/C-H activation/amination of phosphine ligands with alkynes and aromatic/aliphatic amines for construction of structurally diverse indoles.

New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings

In recent works, many authors generated strongly relatively nonexpansive sequences of mappings by the sequences of firmly nonexpansive-like mappings. In this paper, we introduce a new method for construction of strongly relatively nonexpansive sequences from firmly nonexpansive-like mappings.

Cross-Subject Motor Imagery Tasks EEG Signal Classification Employing Multiplex Weighted Visibility Graph and Deep Feature Extraction

This letter presents a novel technique for classification of motor imagery (MI) electroencephalogram (EEG) signals employing a multiplex weighted visibility graph (MWVG) algorithm. A weighted visibility graph (WVG) is an effective tool to map a univariate time series into a graphical representation while preserving its temporal characteristics. In this contribution, the concept of WVG of univariate time series is extended to analyze multivariate EEG time series known as a MWVG algorithm. From the graphical representation of the transformed EEG time series, a new method for construction of complex functional brain connectivity network using clustering co-efficient was proposed based on mutual correlation between different electrodes. An auto encoder based deep feature extraction technique was employed to extract meaningful features from the images of brain connectivity matrix and classification of different MI tasks was performed using different benchmark classifiers. In this contribution, a cross-subject classification is performed to address the problem of lack of generalized features from EEG signals across different subjects. It was observed that an average classification accuracy of 99.92% and 99.96% is obtained using the Random Forest classifier. Experimental investigations on two publicly available databases revealed that the proposed model can be implemented to develop a robust and effective brain computer interface system.

The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product of Two Colliding Regular “Positons”

In this article we present a new method for construction of exact solutions of the Landau-Lifshitz-Gilbert equation (LLG) for ferromagnetic nanowires. The method is based on the established relationship between the LLG and the nonlinear Schrödinger equation (NLS), and is aimed at resolving an old problem: how to produce multiple-rogue wave solutions of NLS using just the Darboux-type transformations. The solutions of this type—known as P-breathers—have been proven to exist by Dubard and Matveev, but their technique heavily relied on using the solutions of yet another nonlinear equation, the Kadomtsev-Petviashvili I equation (KP-I), and its relationship with NLS. We have shown that in fact one doesn’t have to use KP-I but can instead reach the same results just with NLS solutions, but only if they are dressed via the binary Darboux transformation. In particular, our approach allows us to construct all the Dubard-Matveev P-breathers. Furthermore, the new method can lead to some completely new, previously unknown solutions. One particular solution that we have constructed describes two “positon”-like waves, colliding with each other and in the process producing a new, short-lived rogue wave. We called this unusual solution (in which a rogue wave is begotten after the impact of two solitons) the “impacton”.

A New Approximate Method for Construction of the Normal Control.

Abstract The problem of construction of the normal control (namely, the control with the least norm in L2 space) that generates a given trajectory of a control system is considered. A new method for constructing approximations of the normal control is suggested for a class of control systems with dynamics linear in controls and non-linear in state coordinates where the dimension of the control parameter is greater than or equal to the dimension of the state variables. This method relies on necessary optimality conditions in auxiliary variational problems. An illustrating example is exposed. The results of numerical simulation are compared with the results obtained with another approach.

Proposition of Synthetic Measure

The aim of the study was to propose a new method for construction of synthetic variable. We analyzed distance between object and pattern (antipattern) in relation to sum of all distances between the pattern (antipattern) and other objects. This allowed us to characterize position of a region among others. The described measure is limited. Diagnostic variables do not require normalization or conversion to stimulants. Its main advantage is comparability of analyzes carried out for various years. The proposed method was illustrated by an empirical example. The values of measurement were compared with those obtained by Hellwig’s method. They were similar but not identical. Then two methods were compared in terms of correctness. None of them had a significant advantage.

An explicit formula for modeling wave propagation in magneto-electro-elastic materials

A new method for construction of an explicit solution of the initial value problem for the partial differential equations of magneto-electro-elasticity is suggested. This method consists of the reduction of the time-dependent equations of magneto-electro-elasticity to a symmetric hyperbolic system of the first-order partial differential equations. The explicit formula for the solution is found by application of the theory and methods of symmetric hyperbolic systems. This formula can be applied for modelling wave propagation in magneto-electro-elastic materials as well as in artificial magneto-electro-elastic materials obtained from laminated heterostructure composed of materials by asymptotic homogenization method.

Aggregated distance functions and their application in image processing

In this paper, we propose a new method for construction of distance functions and metrics, by applying aggregation operators on some given distance functions and metrics. For some types and examples of aggregation operators, we analyze which properties of the given distance functions and metrics are preserved by such construction. We also present one possible application of the distance functions constructed in such way in image segmentation by fuzzy c-means algorithm. Other similar applications in image processing are also possible.

Point bosons in a one-dimensional box: the ground state, excitations and thermodynamics

We determine the ground-state energy and the effective dispersion law for a one-dimensional system of point bosons under zero boundary conditions. The ground-state energy is close to the value for a periodic system. However, the dispersion law is essentially different from that for a periodic system, if the coupling is weak (weak interaction or high concentration) or intermediate. We propose also a new method for construction of the thermodynamics for a gas of point bosons. It turns out that the difference in the dispersion laws of systems with periodic and zero boundary conditions does not lead to a difference in the thermodynamic quantities. In addition, under zero boundary conditions, the microscopic sound velocity does not coincide with the macroscopic one. This means that either the method of determination of k in the dispersion law E(k) is unsuitable or the low-energy excitations are not phonons.

A New method for ISE construction for methyl orange dyes and using for indirect determination of Amitriptyline Hydrochloried drug

A new method for construction ion-selective electrode (ISE) by heating reaction of methyl orange with ammonium reineckate using PVC as plasticizer for determination methyl orange and determination Amitriptyline Hydrochloried drug by formation ion-pair on electrode surface . The characteristics of the electrode and it response as following : internal solution 10-4M , pH (2.5-5) ,temperature (20-30) and response time 2 sec. Calibration response for methyl orange over the concentrationrange 10-3 -10-9 M with R=0.9989 , RSD%=0.1052, D.O.L=0.315X10-9 MEre%=(-0.877- -2.76) , Rec%.=(97.230 -101.711) .

A New method for ISE construction for methyl orange dyes and using for indirect determination of Amitriptyline Hydrochloried drug

A new method for construction ion-selective electrode (ISE) by heating reaction of methyl orange with ammonium reineckate using PVC as plasticizer for determination methyl orange and determination Amitriptyline Hydrochloried drug by formation ion-pair on electrode surface . The characteristics of the electrode and it response as following : internal solution 10-4M , pH (2.5-5) ,temperature (20-30) and response time 2 sec. Calibration response for methyl orange over the concentrationrange 10-3 -10-9 M with R=0.9989 , RSD%=0.1052, D.O.L=0.315X10-9 MEre%=(-0.877- -2.76) , Rec%.=(97.230 -101.711) .

Synthesis and biological evaluation of kendomycin and its analogues.

Ansa compounds are gifts from microbes with intriguing molecular structures and highly potent bioactivities. One of the ansa compounds, kendomycin, has an oxa-metacyclophane skeleton with a quinone methide core and a fully substituted tetrahydropyran ring. Beyond a common synthetic strategy for construction of the ansa skeleton (i.e., elongation of an alkyl chain from an aromatic core followed by macrocyclization), we challenged a new method for construction of the ansa skeleton via simultaneous macrocyclization and benzannulation (using an intramolecular Dötz benzannulation). Understanding the reactivity of various Fischer-type ω-alkynyloxy chromium carbene complexes with kendomycin analogue syntheses led to achievement of the total synthesis of kendomycin. Investigations of structure-activity relationships revealed the need for an ansa skeleton for antimicrobial activity. Therefore, we envisage that this intramolecular Dötz benzannulation will enable divergent syntheses of ansa compounds which have important bioactive potential.

Rational bases for spaces of holomorphic functions in the disc

A new method for construction of bases for general distribution spaces is developed. This method allows the freedom to prescribe the nature and properties of the basic elements. The method is deployed to the construction of bases consisting of rational functions of uniformly bounded degrees for Besov and Triebel-Lizorkin spaces of holomorphic functions in the unit disc. In turn, this is utilized to give a new proof of Pekarski’s direct estimate for rational approximation of holomorphic functions in Hp.

分子内デッツ反応を用いたアンサ骨格の構築：ケンドマイシンの全合成

Ansa-compounds have intriguing molecular structures and highly potent bioactivities. One of the ansa-compounds, kendomycin, has an oxa-metacyclophane skeleton with quinone methide core and a fully substituted tetrahydropyran ring. In contrast to a common synthetic strategy for construction of the ansa-skeleton via elongation of an alkyl chain from an aromatic core followed by macrocyclization, we challenged a new method for construction of the ansa-skeleton via simultaneous macrocyclization and benzannulation (using intramolecular Dötz benzannulation). Understanding the reactivity of various Fischer-type ω-alkynyloxy chromium carbene complexes with kendomycin analogs syntheses led to achievement of the total synthesis of kendomycin. Investigations of structure-activity relationships revealed the need for an ansa-skeleton for antimicrobial activity.

Drought characterization using a new copula-based trivariate approach

Meteorological drought is a natural climatic phenomenon that occurs over various time scales and may cause significant economic, environmental and social damages. Three drought characteristics, namely duration, average severity and peak intensity, are important variables in water resources planning and decision making. This study presents a new method for construction of three-dimensional copulas to describe the joint distribution function of meteorological drought characteristics. Using the inference function for margins, the parameters for six types of copulas were tested to select the best-fitted copulas. According to the values of the log-likelihood function, Galambos, Frank and Clayton were the selected copula models to describe the dependence structure for pairs of duration–severity, severity–peak and duration–peak, respectively. Trivariate cumulative probability, conditional probability and drought return period were also investigated based on the derived copula-based joint distributions. The proposed model was evaluated over the observed data of a Qazvin synoptic station, and the results were compared with the empirical probabilities. For measuring the model accuracy, R 2, root mean square error (RMSE) and the Nash–Sutcliffe efficiency (NSE) criteria were used. Results indicated that R 2, RMSE and NSE were equal to 0.91, 0.098 and 0.668, respectively, which demonstrate sufficient accuracy of the proposed model. Drought probabilistic characteristics can provide useful information for water resource planning and management.

Multiple Self‐Assembly Functional Structures Based on Versatile Binding Sites of β‐Lactoglobulin

AbstractIn recent years, research in the field of protein‐based fibrils gained a great attention due to use of these materials as building blocks for construction of functional synthetic biofilms. Yet, efficient and general methodology for preparation of orderly‐doped fibrils with desired properties, made of protein‐dopant/ligand complexes, still remains a significant challenge. In this manuscript, it is demonstrated that the β‐lactoglobulin (β‐Lg) protein can form stable and well‐defined complexes with linear retinoic acid, discotic protoporphyrine IX and spherical carboxyfullerene ligands (dopants). Upon heating these β‐Lg complexes under acidic conditions, formation of orderly‐doped fibrils, which partially preserved ligand‐specific stoichiometries and modes of binding (of the parent protein‐dopant complexes), is observed. These results present a new synthetic methodology, which complements other reported approaches for preparation of the protein‐based doped fibrils, by surface functionalization and by post‐assembly modulation techniques. A combination of ordered self‐assembly nano‐structures, with chemical versatility of the orderly‐doped protein‐based fibrils, represents a new method for construction of novel multifunctional materials in a bottom‐up fashion. Preparation of composite β‐Lg‐complex fibrils by the co‐assembly process, using β‐Lg building blocks that already incorporate various organic ligands inside, is unprecedented.