Idioms,Collocations,Formulaic Phrases and Second Language Acquisition

Idioms,collocations,and formulaic phrases are three factors playing the important role in the second language acquisition(SLA).This essay firstly deals with the definitions of these concepts,then it illustrates the importance of them to SLA on two perspectives—idioms,collocations,and formulaic phrases respectively and they regarded as a whole.Therefore,in this way,the essay may lead to the answer the question“How are idioms,collocations,and formulaic phrases important to SLA?”

The realization of interpersonal function with formulaic language

Language plays an important role in interpersonal communication, among which the importance of formulaic language shall never be under-estimated. Reflected in not only the language of individual language users but also language community, formulaic language could help establish and maintain human relationships. Meanwhile, interpersonal function is the most important one among the three metafunctions of language. The present paper aims to find the interface between functional grammar and the study of formulaic language, and consequently the significance of formulaic language in the realization of interoersonal function.

Frequency Effect of Formulaic Sequences on CAF in Academic Writing:Examples from L2 Master’s Theses

This study was conducted to explore the individual uses of formulaic sequence(FS)frequency and their effects on complexity,accuracy,and fluency(CAF)in academic writing.Data was collected from the conclusion sections of a self-compiled corpus of 30 L2 master’s theses.Statistical analysis revealed several notable conclusions.1)Student writers tend to make repetitive use of particular FSs in single texts.2)FS use has a significant frequency effect on fluency,and the high-frequency group slightly outperforms the low-frequency group.3)FS use has a certain frequency effect on accuracy,and the high-frequency group demonstrates the strongest correlation between FS frequency and accuracy.4)FS use has a significant frequency effect on lexical complexity,and the low-frequency group slightly outperforms the high-frequency group.In the low-frequency group,FS use has a significant frequency effect on syntactic complexity as well.Finally,5)The results support Skehan’s trade-off effect,a competition between CAF,which,to a certain degree,is affected by individual uses of FS frequency.The low-frequency group displays a greater trade-off effect than the high-frequency group.

On L2 English Learners’Formulaic Language Use and Spoken English Fluency

This study explored the distribution of three types of English formulaic language, which involves four categories in L1 Chinese L2 English learners’ speaking performance. In addition, it investigated the relationship between the English learners’ use of formulaic language and their spoken English fluency. A CCA(canonical correlation analysis) was conducted to examine the correlations between two sets of fluency variables(dependent variables) and linguistic variables of English formulaic language use(independent variables). The fluency variable set consists of:(1)temporal indices such as SR(speech rate), AR(articulation rate), MLR(mean length of run), and PTR(phonation time ratio);(2) linguistic variables of English formulaic language like F2 R(twoword formulaic sequences/run ratio, B3 R(three-word lexical bundles/run ratio), and B4 R(fourword lexical bundles/run ratio). These are calculated according to the frequency of the English formulaic language in the speech samples of the participants(n = 86) across three academic levels.The results indicate that the learners’ spoken English fluency is highly related to their use of English formulaic language. Its limitations and future research directions are also discussed.

Formulaic Language in Spoken EFL Teaching

This paper discusses the role of formulaic language in the teaching of English as a foreign language,and in particular in the decoding of the spoken production of native speakers(NSs).

Formulaic Language in Second Language Acquisition:A Review

This paper argues for the need of the reappraisal of the formulaic aspect of language in second language acquisition by drawing insights from recent development in applied linguistics, psycholinguistics and corpus linguistics. This library study begins by reviewing the dual-nature view of language in relation to formulaic aspect of language. Then, a brief survey of evidence from corpus linguistics is provided to demonstrate the formulaicity of language. What follows is the discussion of rehearsal and implicit learning vis-a-vis memory from the perspective of psycholinguistics. After that, the role of formulaic language in second language acquisition is examined by taking stock of empirical findings that have accumulated in this area. Finally, by way of conclusion, how the formulaicity of language can shed light on second/foreign language teaching theory is illustrated.

The Role of Formulaic Speech in SLA Learner’s Spoken Language Performance

A controversial issue in the field of Second Language spoken English acquisition is which one plays a more important role, the formulaic speech or the creative rules? And researchers have long kept different opinions about the definition of formulaic speech. The present paper discusses the definition of formulaic speech, describes relevant empirical studies and summarizes some roles of formulaic speech from our own experiments, hoping to provide some insights for second language spoken English teaching and learning.

Formulaic Sequences in L1 and Advanced L2 Chinese Learners' Writing

This corpus-based study cmploys statistical analysis to compare the use of non-compositional formulaic sequences by high proficiency Chinese learners and native students.The top 5 overused and underused patterns by Chinese users are identified.Features of their usage point to a lack of register awareness as well as linguistic resources,while showing individual differences.

Situation-Bound Utterances and Formulaic Competence: The Case of Chinese Learners of English as a Foreign Language

This study investigated the relationship between situation-bound utterances （SBUs thereafter） and formulaic competence, focusing on the acquisition of three subcategories of SBUs among early intermediate and early advanced Chinese learners of English as a foreign language （EFL）. A group of native English speakers also participated in this study to provide baseline data. One-way ANOVA analysis and post hoc tests confirmed that linguistic competence usually preceded formulaic competence for EFL learners. The findings also showed no statistically significant difference existing between the three groups of participants in the use of plain SBUs, and this could be attributed to the low degree of cultural-embeddedness and high semantic transparency of plain SBUs. It was further argued that a threshold has to be reached for EFL learners to go through a movement from rules to wholes.

A Cauchy integral formula for(p,q)-monogenic functions withα-weight

Firstly,some properties for(p,q)-monogenic functions withα-weight in Clifford analysis are given.Then,the Cauchy-Pompeiu formula is proved.Finally,the Cauchy integral formula and the Cauchy integral theorem for(p,q)-monogenic functions withα-weight are given.

Analytical Solution and Simplified Formula for Added Mass of Horizontal and Vertical Motions of Truncated Cylinders Under Earthquake Action

This paper investigates the hydrodynamic characteristics of floating truncated cylinders undergoing horizontal and vertical motions due to earthquake excitations in the finite water depth.The governing equation of the hydrodynamic pressure acting on the cylinder is derived based on the radiation theory with the inviscid and incompressible assumptions.The governing equation is solved by using the method of separating variables and analytical solutions are obtained by assigning reasonable boundary conditions.The analytical result is validated by a numerical model using the exact artificial boundary simulation of the infinite water.The main variation and distribution characteristics of the hydrodynamic pressure acting on the side and bottom of the cylinder are analyzed for different combinations of wide-height and immersion ratios.The added mass coefficient of the cylinder is calculated by integrating the hydrodynamic pressure and simplified formulas are proposed for engineering applications.The calculation results show that the simplified formulas are in good agreement with the analytical solutions.

Correction:Making the Complicated Simple:A Minimizing Carrier Strategy on Innovative Nanopesticides

The Nano-Micro Letters(2024)16:193,article by Shangguan et al.,entitled“Making the Complicated Simple:A Minimizing Carrier Strategy on Innovative Nanopesticides”(Nano-Micro Lett.https://doi.org/10.1007/s40820-024-01413-5),was published online on 14 May,2024,with errors.The structural formulas and captions of the three acyl chlorides in Fig.3A were wrong.They should be as shown below.

Study on Effectiveness of Solitary-Wave-Like Form Based on Overtopping Data from Irregular Wave Tests

The previous study conducted by Li(2022)demonstrates that the Goda graph can be adequately represented by a solitary-wave-like form across the entire range of relative water depth,with the exception of the extremely shallow zone.However,it remains uncertain whether this form is equally effective when applied to test data generated by irregular waves,as the Goda graph was initially developed based on overtopping data from regular wave tests.Additionally,it is unclear whether this form is suitable for formulating overtopping discharge at composite vertical walls.In order to address these questions,a 2D overtopping experiment was conducted,incorporating both simple and composite types of vertical walls,with various relative water depths across the entire range,excluding the extremely shallow zone.A novel analysis procedure was developed,which proved to be highly productive and can be considered a general method for data fitting.Ultimately,the study yielded two conclusions:(1)the solitary-wave-like form is remarkably effective in formulating overtopping test data generated by irregular waves,regardless of whether the vertical wall is simple or composite,and(2)the resulting formulas exhibit definitely better performance compared with existing formulas.

Modified Sadowski formula-based model for the slope shape amplification effect under multistage slope blasting vibration

Blasting operations,which are crucial to open-pit mine production due to their simplicity and efficiency,require precise control through accurate vibration velocity calculations.The conventional Sadowski formula mainly focuses on blast center distance but neglects the amplification effect of blasting vibration waves by terraced terrain,from which the calculated blasting vibration velocities are smaller than the actual values,affecting the safety of the project.To address this issue,our model introduces the influences of slope and time into Sadowski formula to measure safety through blast vibration displacement.In the northern section of the open-pit quartz mine in Jinchang City,Gansu Province,China,the data of a continuous blasting slope project are referred to.Our findings reveal a noticeable vibration amplification effect during blasting when a multi-stage slope platform undergoes a sudden cross-sectional change near the upper overhanging surface.The amplification vibration coefficient increases with height,while vibration waves within rocks decrease from bottom to top.Conversely,platforms without distinct crosssectional changes exhibit no pronounced amplification during blasting.In addition,the vibration intensity decreases with distance as the rock height difference change propagates.The results obtained by the proposed blast vibration displacement equation incorporating slope shape influence closely agree with real-world scenarios.According to Pearson correlation coefficient(PPMCC)analysis,the average accuracy rate of our model is 88.84%,which exceeds the conventional Sadowski formula(46.92%).

CAUCHY TYPE INTEGRALS AND A BOUNDARY VALUE PROBLEM IN A COMPLEX CLIFFORD ANALYSIS

Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value problems.In this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for it.Second,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford algebra.Finally,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.

Artificial Bear Bile:A Novel Approach to Balancing Medical Requirements and Animal Welfare

Bear bile has been a valuable and effective medicinal material in traditional Chinese medicine(TCM)for over 13 centuries.However,the current practice of obtaining it through bear farming is under scrutiny for its adverse impact on bear welfare.Here,we present a new approach for creating artificial bear bile(ABB)as a high-quality and sustainable alternative to natural bear bile.This study addresses the scientific challenges of creating bear bile alternatives through interdisciplinary collaborations across various fields,including resources,chemistry,biology,medicine,pharmacology,and TCM.A comprehensive efficacy assessment system that bridges the gap between TCM and modern medical terminology has been established,allowing for the systematic screening of therapeutic constituents.Through the utilization of chemical synthesis and enzyme engineering technologies,our research has achieved the environmentally friendly,large-scale production of bear bile therapeutic compounds,as well as the optimization and recomposition of ABB formulations.The resulting ABB not only closely resembles natural bear bile in its composition but also offers advantages such as consistent product quality,availability of raw materials,and independence from threatened or wild resources.Comprehensive preclinical efficacy evaluations have demonstrated the equivalence of the therapeutic effects from ABB and those from commercially available drained bear bile(DBB).Furthermore,preclinical toxicological assessment and phase I clinical trials show that the safety of ABB is on par with that of the currently used DBB.This innovative strategy can serve as a new research paradigm for developing alternatives for other endangered TCMs,thereby strengthening the integrity and sustainability of TCM.

Trace formula of the integro-differential operator on a quantum graph

In this paper we study the eigenvalue problem for integro-differential operators on a lasso graph.The trace formula of the operator is established by applying the residual technique in complex analysis.

Locally and globally uniform approximations for ruin probabilities of a nonstandard bidimensional risk model with subexponential claims

Consider a nonstandard continuous-time bidimensional risk model with constant force of interest,in which the two classes of claims with subexponential distributions satisfy a general dependence structure and each pair of the claim-inter-arrival times is arbitrarily dependent.Under some mild conditions,we achieve a locally uniform approximation of the finite-time ruin probability for all time horizon within a finite interval.If we further assume that each pair of the claim-inter-arrival times is negative quadrant dependent and the two classes of claims are consistently-varying-tailed,it shows that the above obtained approximation is also globally uniform for all time horizon within an infinite interval.

Examining the Use of Scott’s Formula and Link Expiration Time Metric for Vehicular Clustering

Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are simplistic,with fast performance and relative accuracy.However,their implementation depends on the initial selection of clusters number(K),the initial clusters’centers,and the clustering metric.This paper investigated using Scott’s histogram formula to estimate the K number and the Link Expiration Time(LET)as a clustering metric.Realistic traffic flows were considered for three maps,namely Highway,Traffic Light junction,and Roundabout junction,to study the effect of road layout on estimating the K number.A fast version of the PAM algorithm was used for clustering with a modification to reduce time complexity.The Affinity propagation algorithm sets the baseline for the estimated K number,and the Medoid Silhouette method is used to quantify the clustering.OMNET++,Veins,and SUMO were used to simulate the traffic,while the related algorithms were implemented in Python.The Scott’s formula estimation of the K number only matched the baseline when the road layout was simple.Moreover,the clustering algorithm required one iteration on average to converge when used with LET.

Double casing warhead with sandwiched charge:The axial distribution of fragments velocities

The double casing warhead with sandwiched charge is a novel fragmentation warhead that can produce two groups of fragments with different velocity,and the previous work has presented a calculation formula to determine the maximum fragment velocity.The current work builds on the published formula to further develop a formula for calculating the axial distribution characteristics of the fragment velocity.For this type of warhead,the simulation of the dispersion characteristics of the detonation products at different positions shows that the detonation products at the ends have a much larger axial velocity than those in the middle,and the detonation products have a greater axial dispersion velocity when they are closer to the central axis.The loading process and the fragment velocity vary with the axial position for both casing layers,and the total velocity of the fragments is the vector sum of the radial velocity and the axial velocity.At the same axial position,the acceleration time of the inner casing is greater than that of the outer casing.For the same casing,the fragments generated at the ends have a longer acceleration time than the fragments from the middle.The proposed formula is validated with the X-ray radiography results of the four warheads previously tested experimentally and the 3D smoothedparticle hydrodynamics numerical simulation results of several series of new warheads with different configurations.The formula can accurately and reliably calculate the fragment velocity when the lengthto-diameter ratio of the charge is greater than 1.5 and the thickness of the casing is less than 20%its inner radius.This work thus provides a key reference for the theoretical analysis and the design of warheads with multiple casings.