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Despite the wealth of productive ESP/EAP research on promotional genres over the past decade, such research has yet to spotlight Diversity, Equity, and Inclusion Statements (DEISs) for academic job application purposes in U.S. higher education. To address this gap, this study systematically analyzes the rhetorical features of 80 DEISs and explores the perceptions of faculty administrators, ESP/EAP writing teachers, and novice writers regarding the genre analysis findings. A step-driven rhetorical move analysis targeting the frequency and distribution of rhetorical moves/steps, as well as patterns in inter- and intra-move sequences within the DEISs, was implemented. The analysis unveiled five reoccurring moves, each consisting of multiple steps, with varying frequencies across different texts. It also identified a mixture of circular, linear, and somewhat disorganized patterns in inter-move sequences. Furthermore, through subsequent semi-structured interviews with three faculty members and one L2 student writer, the study revealed a consensus among the interviewees regarding the practical value of the genre analytic findings, particularly for ESP/EAP writing instruction and professional assessment. Meanwhile, it highlighted the interviewees' mixed reactions concerning specific rhetorical features of the DEISs and their collective doubts surrounding the writing and use of DEISs. • Five rhetorical moves structure diversity, equity, and inclusion statements (DEISs). • Steps present writers' understandings, experiences, competence, and plans for DEI. • Circular, linear, or somewhat disorganized patterns sequence the five moves. • Practitioners positively interpret the findings' value in pedagogy and assessment. • They problematize DEISs for their rationale, genre norms, and expectations. [ABSTRACT FROM AUTHOR]

In this paper, the existence and uniqueness of solution for a fractional differential model involving well-posed boundary conditions and implicit fractional differential equation is considered. The desired goals are achieved by using Banach contraction principle and Scheafer's fixed point theorem. To show the results applicability some examples are presented. The basic mathematical concept of well-posed fractional boundary value issues is investigated in this study. It dives into the existence and uniqueness of these difficulties, offering light on the conditions that allow for both practical and singular solutions. This study contributes to a better knowledge of fractional calculus and its applications in a variety of scientific and technical areas, giving significant insights for both scholars and practitioners. [ABSTRACT FROM AUTHOR]

The routine use of electronic structures in many chemical simulation applications calls for efficient and easy ways to access electronic structure programs. We describe how the graphics processing unit (GPU) accelerated electronic structure program TeraChem can be set up as an electronic structure server, to be easily accessed by third-party client programs. We exploit Google's protocol buffer framework for data serialization and communication. The client interface, called TeraChem protocol buffers (TCPB), has been designed for ease of use and compatibility with multiple programming languages, such as C++, Fortran, and Python. To demonstrate the ease of coupling third-party programs with electronic structures using TCPB, we have incorporated the TCPB client into Amber for quantum mechanics/molecular mechanics (QM/MM) simulations. The TCPB interface saves time with GPU initialization and I/O operations, achieving a speedup of more than 2× compared to a prior file-based implementation for a QM region with ∼250 basis functions. We demonstrate the practical application of TCPB by computing the free energy profile of p-hydroxybenzylidene-2,3-dimethylimidazolinone (p-HBDI−)—a model chromophore in green fluorescent proteins—on the first excited singlet state using Hamiltonian replica exchange for enhanced sampling. All calculations in this work have been performed with the non-commercial freely-available version of TeraChem, which is sufficient for many QM region sizes in common use. [ABSTRACT FROM AUTHOR]

This paper presents a projection and contraction method with a double inertial extrapolation step and self-adaptive step sizes to solve variational inequalities with quasi-monotonicity in real Hilbert spaces. Weak and strong convergence results are obtained under some mild conditions. We also give linear convergence results under a special case of our proposed method. Preliminary numerical results show that our proposed method is competitive with other related methods in the literature. [ABSTRACT FROM AUTHOR]

Recent critical inquiries in metadiscourse research call into question the functional inadequacy of a word-based lexical approach. To account more fully the functional affordances of metadiscoursal features in academic writing, this paper examines the Interactional Metadiscourse, namely hedges, boosters, attitude markers and self-mentions based on a 2.64-million-word corpus of L1-English expert and L1-Chinese student writing in Agricultural Science. Through an intra-generic lens, we found a significant effect of part-genre on the use of all four target categories for both writer groups; and L1-English experts employed significantly more hedges than L2 students while L2 students used significantly more boosters and attitude markers. Functionally, both groups shared a largely similar deployment of functional subtypes across part-genres with L1-English experts outperforming L2 students only in one function: 'stating a goal or purpose' in self-mentions. Subsequent qualitative discourse-functional analyses at part-genre level between two writer groups explained some student-produced discipline-inappropriate metadiscoursal choices. This paper concludes with resources for a rigorous coding development, and implications for teaching metadiscourse to disciplinary writers with an emphasis on using available discipline-specific corpora to understand how functional taxonomizations of IM interface with socio-rhetorical contexts in disciplinary writing. • An intrageneric and functional perspective on interactional metadiscourse (IM). • A rigorous coding protocol for reliable analysis of potential IM items. • Conclusion is profuse with IM features; Methods is the least interactional. • Strong interaction between part-genre and expertise in boosters and attitude markers. • Students use some rhetorically and disciplinarily inappropriate IM features. [ABSTRACT FROM AUTHOR]

In this paper, we mainly introduce a new algorithm with a different line-search process for solving variational inequality problem of pseudomonotone and non-Lipschitz operators in real Hilbert spaces. Under some appropriate restrictions imposed on the parameters, we prove a strong convergence theorem for finding an element of solutions of variational inequality problem. At the same time, we give some numerical examples to illustrate the effectiveness of our proposed algorithm. The main results obtained in this paper extend and improve many recent ones in the literature. [ABSTRACT FROM AUTHOR]

We focus our study on a co-variational inequality problem involving two generalized Yosida approximation operators in real uniformly smooth Banach space. We show some characteristics of a generalized Yosida approximation operator, which are used in our main proof. We apply the concept of nonexpansive sunny retraction to obtain a solution to our problem. Convergence analysis is also discussed. [ABSTRACT FROM AUTHOR]

In this work, we propose a new method to calculate molecular nonradiative electronic relaxation rates based on the numerically exact time-dependent density matrix renormalization group theory. This method could go beyond the existing frameworks under the harmonic approximation (HA) of the potential energy surface (PES) so that the anharmonic effect could be considered, which is of vital importance when the electronic energy gap is much larger than the vibrational frequency. We calculate the internal conversion (IC) rates in a two-mode model with Morse potential to investigate the validity of HA. We find that HA is unsatisfactory unless only the lowest several vibrational states of the lower electronic state are involved in the transition process when the adiabatic excitation energy is relatively low. As the excitation energy increases, HA first underestimates and then overestimates the IC rates when the excited state PES shifts toward the dissociative side of the ground state PES. On the contrary, HA slightly overestimates the IC rates when the excited state PES shifts toward the repulsive side. In both cases, a higher temperature enlarges the error of HA. As a real example to demonstrate the effectiveness and scalability of the method, we calculate the IC rates of azulene from S1 to S0 on the ab initio anharmonic PES approximated by the one-mode representation. The calculated IC rates of azulene under HA are consistent with the analytically exact results. The rates on the anharmonic PES are 30%–40% higher than the rates under HA. [ABSTRACT FROM AUTHOR]

In this article, based on the regularization techniques, we construct two new algorithms combining the forward-backward splitting algorithm and the proximal contraction algorithm, respectively. Iterative sequences of the new algorithms can converge strongly to a common solution of the variational inclusion and null point problems in real Hilbert spaces. Multi-inertial extrapolation steps are applied to expedite their convergence rate. We also give some numerical experiments to certify that our algorithms are viable and efficient. [ABSTRACT FROM AUTHOR]

In this paper, we study a modified implicit rule for finding a solution of split common fixed point problem of a Bregman quasi-nonexpansive mapping in Banach spaces. We propose a new iterative algorithm and prove the strong convergence theorem under appropriate conditions. As an applica- tion, the results are applied to solving the zero problem and the equilibrium problem. [ABSTRACT FROM AUTHOR]

In this paper, we mainly introduce a new and different self adaptive extragradient algorithm with an inertial technique for solving variational inequality problems of pseudomonotone operators and fixed point problems of relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth Banach spaces. Under some appropriate assumptions imposed on the parameters and operators, we prove that the iterative sequence generated by our proposed algorithm converges strongly to a common solution of variational inequality problems and fixed point problems. Moreover, we give some numerical examples to show the effectiveness and feasibility of our algorithm. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the bursting oscillation and its mechanism of the flow-induced vibration piezoelectric energy harvester with magnets (PEHM) by low-frequency excitation. Through the slow-fast analysis method, the external excitation term is considered as the slow variable, which is the control parameter to regulate the nonlinear dynamic behavior of the fast subsystem. The time history, phase and transformed phase diagrams of the PEHM system in three cases when the bursting oscillation occurs are obtained. The motion law and bifurcation mechanism are then revealed. Next, the chaotic motion of the system is observed by the maximum Lyapunov exponent graphs, and the influence of the excitation frequency on the periodic motion is studied via ω –x bifurcation diagrams. Afterwards, the influence of the excitation amplitude and cantilever beam equivalent damping ratio on the output voltage in bursting state is analyzed. Taking the average output voltage value as a measurement index, in consideration of the variations of the output power with load resistance, we also evaluate the influences of external excitation amplitude and frequency on the energy harvesting efficiency. The results show that the increase of the excitation amplitude can widen the frequency band of high energy harvesting efficiency; The excitation frequency close to bursting frequency leads to large output power in an instant. Finally, the influence of the potential energy function and the barrier height on bursting oscillation are investigated. [ABSTRACT FROM AUTHOR]

The split feasibility problem (SFP) has many practical applications, which has attracted the attention of many authors. In this paper, we propose a different method to solve the SFP and the fixed-point problem involving quasi-nonexpansive mappings. We relax the conditions of the operator as well as consider the inertial iteration and the adaptive step size. For example, the convergence generated by our new method is better than that of other algorithms, and the convergence rate of our algorithm greatly improves that of previous algorithms. [ABSTRACT FROM AUTHOR]

Aggregation-induced emission (AIE) fluorophores exhibit strong fluorescence in an aggregated state but emit no or weak fluorescence in dilute solutions. This emerging class of AIE optical materials comprise a variety of functionalities. Here an AIE luminescence core, 1-hydroquinol-1,2,2-triphenylethene (HQTPE), has been designed and synthesized. This AIE core is simple but is fundamentally important to chemistry because of its intrinsic redox and pH activities. The incorporation of hydroquinone (HQ) moiety into a common AIE core tetraphenylethene (TPE) yields HQTPE with unique fluorescent properties like nonlinear self-quenching over most other AIE-active fluorophores (AIEgens) so far reported. There are differences of photochemical properties between HQTPE, 1-benzoquinol-1,2,2-triphenylethene (QTPE, the oxidized counterpart) and its anions. Interestingly, as the solution concentration is increased, AIEgen HQTPE shows stronger fluorescence but QTPE exhibits rapid quenching of fluorescence in a nonlinear fashion, which are in agreement with theoretical studies. The fluorescence of HQTPE is also highly dependent on the pH value of media. We have further explored HQTPE as an ultrasensitive redox probe and efficient deoxidizer, which could lead to potential applications in health care, food security, environmental monitoring, optic and electronic devices. Aggregation-induced emission (AIE) is exploited for several optoelectronic applications, but synthesizing molecules that respond to multiple stimuli is challenging. Here, the authors report a hydroquinone bearing an AIE-active core that responds to both redox and pH changes. [ABSTRACT FROM AUTHOR]

In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces. Under some suitable conditions imposed on the sequences of parameters, some strong convergence theorems are proved, which also solve some variational inequalities that are closely related to optimization problems. The results here generalize and improve the main results of other authors. [ABSTRACT FROM AUTHOR]

As a high-stakes academic promotional genre, teaching philosophy statements (TPSs) are important in academic professionals' career success and professional development in U.S. higher education. However, this genre remains relatively overlooked in current EAP genre research. The study addresses this gap by investigating the rhetorical moves and steps, including their frequency and sequence, in 100 TPSs written by U.S. university faculty members who wrote their TPSs to apply for and eventually won prestigious university teaching awards. It also explores gatekeeper and novice writer's perceptions of the genre analysis results. Findings show that the TPSs are structured by two very common moves: Construct teacher profile and Demonstrate teacher competence in the classroom , as well as three less common moves and multiple very common, common, and less common steps. The TPSs are also cyclically sequenced by the two very common moves. The gatekeeper and novice writer positively recognized the usefulness of the genre analysis results in terms of representing the TPS genre, further highlighted the genre's intertextual operation, and eventually interpreted the results' potential in informing EAP writing pedagogy. Future research and pedagogical directions are discussed. • Explored moves/steps in 100 teaching philosophy statements as an academic promotional genre. • Revealed five moves (two very common and three less common) with various steps. • The statements are cyclically sequenced by the two very common moves. • Gatekeeper and novice writer positively interpreted the genre analysis results. [ABSTRACT FROM AUTHOR]

Simulations of photochemical reaction dynamics have been a challenge to the theoretical chemistry community for some time. In an effort to determine the predictive character of current approaches, we predict the results of an upcoming ultrafast diffraction experiment on the photodynamics of cyclobutanone after excitation to the lowest lying Rydberg state (S2). A picosecond of nonadiabatic dynamics is described with ab initio multiple spawning. We use both time dependent density functional theory (TDDFT) and equation-of-motion coupled cluster singles and doubles (EOM-CCSD) theory for the underlying electronic structure theory. We find that the lifetime of the S2 state is more than a picosecond (with both TDDFT and EOM-CCSD). The predicted ultrafast electron diffraction spectrum exhibits numerous structural features, but weak time dependence over the course of the simulations. [ABSTRACT FROM AUTHOR]

In this paper, we propose a new self adaptive iterative algorithm with an inertial technique for solving split feasibility problems and fixed point problems of relative nonexpansive mappings in p -uniformly convex and uniformly smooth Banach spaces. Under some appropriate assumptions imposed on the parameters and operators, we prove that the iterative sequence generated by our proposed algorithm converges strongly to a common solution of split feasibility problems and fixed point problems. Our algorithm does not require a prior knowledge of the norm of the bounded linear operator as we use a new self adaptive step size. Moreover, we give some numerical examples to show the effectiveness and feasibility of our algorithm. [ABSTRACT FROM AUTHOR]

The current research of mechanochromic molecules focused on different molecular skeletons and the types of functional groups, where the design ideas were limited. We have synthesized a group of cyano-modified TPE derivatives (TPECN) with different substitution sites, showing typical aggregation induced emission (AIE) effect. We found that meta-substituted mCN revealed the inertness of mechanochromism, whether being ball milled or rapidly evaporated. Isomers with ortho- or para-substitution showed an emission wavelength shift over 40 nm. Experimental data indicated unusual high-strength lattice stability for mCN. By single-crystal analysis and theoretical calculations, we clarified from the molecular skeleton distortion, noncovalent intermolecular interactions, and calculated interaction energy that the meta-substitution led to a stable lattice structure, making mCN insensitive to external stimuli. Thus, we successfully explained the substituted site was an important and independent factor that influenced the mechanochromic property. Meanwhile, we also explored the application of the TPECN s series for erasable printing and coding. • Differences in mechanochromism behavior between isomers were observed. • Potential 'meta-site effect' in TPE-based AIEgen were shown. • The relation between interaction energy of lattice and mechanochromism property was proposed. • Powerful applications on the erasable printing and coding were achieved. A potential 'meta-site effect' for mechanochromic AIEgens was observed through a group of cyano-modified TPE derivatives with the same functional group and the molecular formula but different substitution sites. The meta-substitution caused the slighter distortion for molecular conformation, the tighter stacking mode, the more numerous interactions, and the lower interaction energy out of three isomers, which enhanced the lattice stability and led to the inertness of mechanochromism. [ABSTRACT FROM AUTHOR]

In this article, we introduce a new inertial multi-step regularized generalized Popov's extra-gradient method to solve the hierarchical variational inequality problem (HVIP). We extend the previous Lipschitzian and strongly monotone mapping to a hemicontinuous, generalized Lipschitzian and strongly monotone mapping. We also obtain a strong convergence theorem about the new Popov's algorithm. Furthermore, we utilize some numerical experiments to highlight the feasibility and effectiveness of our method. [ABSTRACT FROM AUTHOR]

In this paper, the Black–Scholes equation is solved using a new technique. This scheme is derived by combining the Laplace transform method and the nonstandard finite difference (NSFD) strategy. The qualitative properties of the method are discussed, and it is shown that the new method is positive, stable, and consistent when low volatility is assumed. The efficiency of the new method is demonstrated by a numerical example. [ABSTRACT FROM AUTHOR]

This paper is concerned with certain non-linear unperturbed and perturbed systems of integro-delay differential equations (IDDEs). We investigate fundamental properties of solutions such as uniformly stability (US), uniformly asymptotically stability (UAS), integrability and instability of the un-perturbed system of the IDDEs as well as the boundedness of the perturbed system of IDDEs. In this paper, five new and improved fundamental qualitative results, which have less conservative conditions, are obtained on the mentioned fundamental properties of solutions. The technique used in the proofs depends on Lyapunov-Krasovski functionals (LKFs). In particular cases, three examples and their numerical simulations are provided as numerical applications of this paper. This paper provides new, extensive and improved contributions to the theory of IDDEs. [ABSTRACT FROM AUTHOR]

Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the subject over the years. An essential part of the theory of mathematical inequalities is the convex function and its extensions. In the recent past, the study of Jensen–Mercer inequality and Hermite–Hadamard–Mercer type inequalities has remained a topic of interest in mathematical inequalities. In this paper, we study several inequalities for GA-h-convex functions and its subclasses, including GA-convex functions, GA-s-convex functions, GA-Q-convex functions, and GA-P-convex functions. We prove the Jensen–Mercer inequality for GA-h-convex functions and give weighted Hermite–Hadamard inequalities by applying the newly established Jensen–Mercer inequality. We also establish inequalities of Hermite–Hadamard–Mercer type. Thus, we give new insights and variants of Jensen–Mercer and related inequalities for GA-h-convex functions. Furthermore, we apply our main results along with Hadamard fractional integrals to prove weighted Hermite–Hadamard–Mercer inequalities for GA-h-convex functions and its subclasses. As special cases of the proven results, we capture several well-known results from the relevant literature. [ABSTRACT FROM AUTHOR]

In this paper, we construct two multi-step inertial regularized methods for hierarchical inequality problems involving generalized Lipschitzian and hemicontinuous mappings in Hilbert spaces. Then we present two strong convergence theorems and some numerical experiments to show the effectiveness and feasibility of our new iterative methods. [ABSTRACT FROM AUTHOR]

In our paper, we propose two new iterative algorithms with Meir–Keeler contractions that are based on Tseng's method, the multi-step inertial method, the hybrid projection method, and the shrinking projection method to solve a monotone variational inclusion problem in Hilbert spaces. The strong convergence of the proposed iterative algorithms is proven. Using our results, we can solve convex minimization problems. [ABSTRACT FROM AUTHOR]

We study a new algorithm for the common solutions of a generalized variational inequality system and the fixed points of an asymptotically non-expansive mapping in Banach spaces. Under some specific assumptions imposed on the control parameters, some strong convergence theorems for the sequence generated by our new viscosity iterative scheme to approximate their common solutions are proved. As an application of our main results, we solve the standard constrained convex optimization problem. The results here generalize and improve some other authors' recently corresponding results. [ABSTRACT FROM AUTHOR]

In Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numerical experiment is given to show the implementation and efficiency of our main theorem. Our results presented in this paper generalize and complement many recent ones. [ABSTRACT FROM AUTHOR]

In this paper, we propose a generalized viscosity implicit iterative method for asymptotically non-expansive mappings in Banach spaces. The strong convergence theorem of this algorithm is proved, which solves the variational inequality problem. Moreover, we provide some applications to zero-point problems and equilibrium problems. Further, a numerical example is given to illustrate our convergence analysis. The results generalize and improve corresponding results in the literature. [ABSTRACT FROM AUTHOR]

In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method. [ABSTRACT FROM AUTHOR]

A computational approach with the aid of the Linear Multistep Method (LMM) for the numerical solution of differential equations with initial value problems or boundary conditions has appeared several times in the literature due to its good accuracy and stability properties. The major objective of this article is to extend a multistep approach for the numerical solution of the Partial Differential Equation (PDE) originating from fluid mechanics in a two-dimensional space with initial and boundary conditions, as a result of the importance and utility of the models of partial differential equations in applications, particularly in physical phenomena, such as in convection-diffusion models, and fluid flow problems. Thus, a multistep collocation formula, which is based on orthogonal polynomials is proposed. Ninth-order Multistep Collocation Formulas (NMCFs) were formulated through the principle of interpolation and collocation processes. The theoretical analysis of the NMCFs reveals that they have algebraic order nine, are zero-stable, consistent, and, thus, convergent. The implementation strategies of the NMCFs are comprehensively discussed. Some numerical test problems were presented to evaluate the efficacy and applicability of the proposed formulas. Comparisons with other methods were also presented to demonstrate the new formulas' productivity. Finally, figures were presented to illustrate the behavior of the numerical examples. [ABSTRACT FROM AUTHOR]

Redox‐active esters (RAEs) as alkyl radical precursors have been extensively developed for C−C bond formations. However, the analogous transformations of fluoroalkyl radicals from the corresponding acid or ester precursors remain challenging because of the high oxidation potential of the fluoroalkyl carboxylate anions. The newly developed N‐hydroxybenzimidoylchloride (NHBC) ester provides a general leaving group assisted strategy to generate a portfolio of fluoroalkyl radicals, and can be successfully applied in photoinduced decarboxylative hydrofluoroalkylation and heteroarylation of unactivated olefins. In addition, DFT calculations revealed that the NHBC ester proceeds by the fluorocarbon radical pathway, whereas other well‐known RAEs proceed by the nitrogen radical pathway. Game of electronics: N‐hydroxybenzimidoyl chloride (NHBC) ester provides a general leaving group assisted strategy to generate a portfolio of fluoroalkyl radicals, and it can be successfully applied in photoinduced decarboxylative hydrofluoroalkylation and heteroarylation of unactivated olefins. The reaction proceeds under mild reaction conditions for both terminal and internal alkenes. [ABSTRACT FROM AUTHOR]

Redox‐active esters (RAEs) as alkyl radical precursors have been extensively developed for C−C bond formations. However, the analogous transformations of fluoroalkyl radicals from the corresponding acid or ester precursors remain challenging because of the high oxidation potential of the fluoroalkyl carboxylate anions. The newly developed N‐hydroxybenzimidoylchloride (NHBC) ester provides a general leaving group assisted strategy to generate a portfolio of fluoroalkyl radicals, and can be successfully applied in photoinduced decarboxylative hydrofluoroalkylation and heteroarylation of unactivated olefins. In addition, DFT calculations revealed that the NHBC ester proceeds by the fluorocarbon radical pathway, whereas other well‐known RAEs proceed by the nitrogen radical pathway. [ABSTRACT FROM AUTHOR]

A novel sensing platform is described that uses di-catechol functionalized luminogen cis-DiCat as scaffold coordinated with phenylboronic acid, which realizes the rapid and quantitative detection for fluoride ions with good sensitivity, selectivity and stability. Ratiometric fluorescence measurements show that the detection limit is as low as 0.044 mM, which has reached the standard value suggested by the United States Environmental Protection Agency (EPA). Detailed sensing mechanism is elucidated via both experimental and theoretical approaches. We succeed in design and construction of the ratiometric type "Turn-on" fluorescence probe for fluoride ion detection. Sensing procedure in aqueous medium is accomplished with modest selectivity within halide ions. Low detection limit of 0.044 mM facilitates this protocol as one promising technique for monitoring the fluoride ion concentration in drinking water and industrial wastewater. [Display omitted] • Fluorescent bis-catechol/PBA ensemble for ratiometric detection of fluoride ion. • Dual mode detection with visual and quantitative sensing capability. • Novel sensing mechanism involving the formation of emissive tetra-coordinated boronic fluorophore. [ABSTRACT FROM AUTHOR]

In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators. Based on this new identity, some generalized Bullen-type inequalities are obtained by employing convexity properties. Concrete examples are given to illustrate the results, and the correctness is confirmed by graphical analysis. An analysis is provided on the estimations of bounds. According to calculations, improved Hölder and power mean inequalities give better upper-bound results than classical inequalities. Lastly, some applications to quadrature rules, modified Bessel functions and digamma functions are provided as well. [ABSTRACT FROM AUTHOR]

In this article, a nonlinear system of generalized ordered XOR-inclusion problems in Hilbert space is introduced and studied. Initially, we define the resolvent operator related to the (α , λ) -XOR-weak-ANODD multivalued mapping. Using the fixed point technique, we demonstrate the results of existence. In order to make the suggested system more realistic, we create the S-iterative algorithm and demonstrate that the sequence generated through this technique strongly converges with the proposed system's solution. One example is provided in support of the existence result as well. [ABSTRACT FROM AUTHOR]

Second-order oscillatory problems have been found to be applicable in studying various phenomena in science and engineering; this is because these problems have the capabilities of replicating different aspects of the real world. In this research, a new hybrid method shall be formulated for the simulations of second-order oscillatory problems with applications to physical systems. The proposed method shall be formulated using the procedure of interpolation and collocation by adopting power series as basis function. In formulating the method, off-step points were introduced within the interval of integration in order to bypass the Dahlquist barrier, improve the accuracy of the method and also upgrade the order of consistence of the method. The paper further validated the some properties of the hybrid method derived and from the results obtained; the new method was found to be consistent, convergent and stable. The simulation results generated as a result of the application of the new method on some second-order oscillatory differential equations also showed that the new hybrid method is computationally reliable. [ABSTRACT FROM AUTHOR]

In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida variational inclusion problem in real Banach space and for the Yosida resolvent equation problem in q-uniformly smooth Banach space. For faster convergence, we apply an inertial extrapolation scheme for both the problems. An example is provided. [ABSTRACT FROM AUTHOR]

In this paper, we solve a system of mixed variational inclusions involving a generalized Cayley operator and the generalized Yosida approximation operator. An iterative algorithm is suggested to discuss the convergence analysis. We have shown that our system admits a unique solution by using the properties of q-uniformly smooth Banach space, and we discuss the convergence criteria for sequences generated by iterative algorithm. Two examples are constructed, and an application is provided. [ABSTRACT FROM AUTHOR]

In this paper, we consider and study a system of generalized variational inclusions involving Cayley operators and an XOR-operation in q-uniformly smooth Banach spaces. To obtain the solution of the system of generalized variational inclusions involving Cayley operators and an XOR-operation, we use some properties of Cayley operators as well as an XOR-operation. We also discuss the convergence criterion. In support of our main result, we provide an example. [ABSTRACT FROM AUTHOR]

The study of aggregation-induced emission luminogens (AIEgens) shows promising perspectives explored in lighting, optical sensors, and biological therapies. Due to their unique feature of intense emissions in aggregated solid states, it smoothly circumvents the weaknesses in fluorescent dyes, which include aggregation-caused quenching of emission and poor photobleaching character. However, our present knowledge of the AIE phenomena still cannot comprehensively explain the mechanism behind the substantially enhanced emission in their aggregated solid states. Herein, to systematically study the mechanism, the typical AIEgens tetraphenylethene (TPE) was chosen, to elucidate its photophysical properties, the TPE in THF/H2O binary solvents, TPE in THF solvents depending on concentration, and the following direct conversion from a dissolved state to a precipitated solid state were analyzed. Moreover, the TPE derivatives were also investigated to supply more evidence to better decipher the generally optical behaviors of TPE and its derivatives. For instance, the TPE derivative was homogeneously dispersed into tetraethyl orthosilicate to monitor the variance of photophysical properties during sol–gel processing. Consequently, TPE and its derivatives are hypothesized to abide by the anti-Kasha rule in dissolved states. In addition, the factors primarily influencing the nonlinear emission shifting of TPE and its derivatives are also discussed. [ABSTRACT FROM AUTHOR]

Simple Summary: The freezing stress during overwintering brings great challenges to the normal growth of Camellia sinensis. The current research on C. sinensis mainly focuses on cold resistance, but less on freezing resistance. In the present study, the transcriptome and metabolome of C. sinensis under freezing stress were studied. Results showed that Pyr/PYL-PP2C-SnRK2 played a critical role in the signal transduction of freezing stress. Three metabolic pathways including phenylpropanoid biosynthesis, flavone and flavonol biosynthesis, and flavonoid biosynthesis contributed to the freezing resistance of C. sinensis. This study provides substantial insights for the breeding of C. sinensis. Freezing stress in winter is the biggest obstacle to the survival of C. sinensis in mid-latitude and high-latitude areas, which has a great impact on the yield, quality, and even life of C. sinensis every year. In this study, transcriptome and metabolome were used to clarify the freezing resistance mechanism of 60-year-old natural overwintering C. sinensis under freezing stress. Next, 3880 DEGs and 353 DAMs were obtained. The enrichment analysis showed that pathways of MAPK and ABA played a key role in the signal transduction of freezing stress, and Pyr/PYL-PP2C-SnRK2 in the ABA pathway promoted stomatal closure. Then, the water holding capacity and the freezing resistance of C. sinensis were improved. The pathway analysis showed that DEGs and DAMs were significantly enriched and up-regulated in the three-related pathways of phenylpropanoid biosynthesis, flavone and flavonol biosynthesis, and flavonoid biosynthesis. In addition, the carbohydrate and fatty acid synthesis pathways also had a significant enrichment, and the synthesis of these substances facilitated the freezing resistance. These results are of great significance to elucidate the freezing resistance mechanism and the freezing resistance breeding of C. sinensis. [ABSTRACT FROM AUTHOR]

This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov–Krasovskiĭ functional (LKF) and using the Lyapunov–Krasovskiĭ method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discussion of two illustrative examples and the obtained results are presented. [ABSTRACT FROM AUTHOR]

In this paper, a class of systems of linear and non-linear delay differential equations (DDEs) of first order with time-varying delay is considered. We obtain new sufficient conditions for uniform asymptotic stability of zero solution, integrability of solutions of an unperturbed system and boundedness of solutions of a perturbed system. We construct two appropriate Lyapunov–Krasovskiĭ functionals (LKFs) as the main tools in proofs. The technique of the proofs depends upon the Lyapunov–Krasovskiĭ method. For illustration, two examples are provided in particular cases. An advantage of the new LKFs used here is that they allow to eliminate using Gronwall's inequality. When we compare our results with recent results in the literature, the established conditions are more general, less restrictive and optimal for applications. [ABSTRACT FROM AUTHOR]

A novel crystalline carbon modified hierarchical porous iron and nitrogen co-doped carbon (Fe-N/C) electrocatalyst with enhanced electronic conductivity is designed and prepared. The crystalline carbon provides a faster channel for electron transport in the oxygen reduction reaction, thereby enhancing the electrocatalytic activity. [Display omitted] Hierarchical porous iron and nitrogen co-doped carbon (Fe-N/C) materials have been considered as an appealing non-noble metal-based catalyst in oxygen reduction reactions (ORR). However, the conductivity loss caused by the scattering of electrons on pores and defects markedly limits their catalytic activity, which attracted seldom attention in this area. Herein, a novel crystalline carbon modified hierarchical porous Fe-N/C electrocatalyst with enhanced electronic conductivity is designed and prepared via a two-step calcination-catalysis process. The resistivity of hierarchical porous Fe-N/C is decreased from 2.123 Ω cm to 0.479 Ω cm after crystalline carbon introduction. The electrocatalyst annealed at 800 °C (Fe-N/C-800) exhibits a superior activity with the half-wave potential (E 1/2) of 0.89 V, which outperforms the commercial carbon-supported platinum (Pt/C) catalyst (0.85 V). The strategy of crystalline carbon modification provides a fresh approach to improve the electronic conductivity of porous carbon-based materials. [ABSTRACT FROM AUTHOR]

The aim of this article is to study two efficient parallel algorithms for obtaining a solution to a system of monotone variational inequalities (SVI) on Hadamard manifolds. The parallel algorithms are inspired by Tseng's extragradient techniques with new step sizes, which are established without the knowledge of the Lipschitz constants of the operators and line-search. Under the monotonicity assumptions regarding the underlying vector fields, one proves that the sequences generated by the methods converge to a solution of the monotone SVI whenever it exists. [ABSTRACT FROM AUTHOR]

Fu brick tea is made from pre-fermented tea through fermentation and other complicated processes. After fermentation, the microbes and metabolites are changed. Liquid chromatography-mass spectrometry, untargeted metabolomics, and 16 S rDNA and internal transcribed spacer sequencing were used to study metabolites and microorganisms in pre-fermented tea and Fu brick tea fermented for 6 months. Among the seven flavor-related metabolites detected by liquid chromatography–mass spectrometry, only epigallocatechin significantly increased, which can be used as a marker metabolite of Fu brick tea. In total, 292 differentially accumulated metabolites were obtained using untargeted metabolomics, and they were mainly enriched in gingerol biosynthesis and other health-related metabolic pathways. Eurotium cristatum , which accounted for more than 99% of all fungi, and gamma-Proteobacteria may be used as the signature microorganisms of Fu brick tea. Correlation analysis showed that 2-formylglutarate was the metabolite with the strongest correlation with Aspergillaceae and was of great significance for fermentation. In the phenylpropanoid biosynthetic pathway, microorganisms and metabolites were significantly enriched. The changes in metabolites and microbes in pre-fermented tea and Fu brick tea provide important information for analyzing the interactions between microbes and metabolites and improving the characteristics of Fu brick tea. • Epigallocatechin could be used as a marker metabolite of Fu brick tea. • Eurotium cristatum is the prominent symbol fungus of Fu Brick tea. • Microorganisms affected the metabolism of substances related to health and flavor of Fu brick tea. [ABSTRACT FROM AUTHOR]