Analytical Construction Research Articles

Quantum many-body scars for arbitrary integer spin in 2+1D Abelian gauge theories

The existence of quantum many-body scars, which prevents thermalization from certain initial states after a long time, has been established across different quantum many-body systems. These include gauge theories corresponding to spin-1/2 quantum link models. Establishing quantum scars in gauge theories with high spin is not accessible with existing numerical methods, which rely on exact diagonalization. We systematically identify scars for pure gauge theories with arbitrarily large integer spin S in 2+1D, where the electric field is restricted to 2S+1 states per link. Through an explicit analytic construction, we show that the presence of scars is widespread in 2+1D gauge theories for arbitrary integer spin. We confirm these findings numerically for small truncated spin and S=1 quantum link models. Our analytic construction establishes the presence of scars far beyond volumes and spins that can be probed with existing numerical methods and can guide quantum simulation experiments toward interesting nonequilibrium phenomena, inaccessible otherwise. Published by the American Physical Society 2024

Data-assisted non-intrusive model reduction for forced nonlinear finite elements models

AbstractSpectral submanifolds (SSMs) have emerged as accurate and predictive model reduction tools for dynamical systems defined either by equations or data sets. While finite-elements (FE) models belong to the equation-based class of problems, their implementations in commercial solvers do not generally provide information on the nonlinearities required for the analytical construction of SSMs. Here, we overcome this limitation by developing a data-driven construction of SSM-reduced models from a small number of unforced FE simulations. We then use these models to predict the forced response of the FE model without performing any costly forced simulation. This approach yields accurate forced response predictions even in the presence of internal resonances or quasi-periodic forcing, as we illustrate on several FE models. Our examples range from simple structures, such as beams and shells, to more complex geometries, such as a micro-resonator model containing more than a million degrees of freedom. In the latter case, our algorithm predicts accurate forced response curves in a small fraction of the time it takes to verify just a few points on those curves by simulating the full forced-response.

On the analytical construction of radially symmetric solutions for the relativistic Euler equations

AbstractThis paper is concerned with the analytical construction of piecewise smooth solutions containing a single shock wave for the radially symmetric relativistic Euler equations with polytropic gases. We derive meticulously the a priori ‐estimates on the Riemann invariants of the governing system under some assumptions on the piecewise initial data. Based on these estimates, we show that the long time of existence of smooth solutions in the angular region bounded by a characteristic curve and a shock curve. The piecewise smooth initial conditions ensured the existence of smooth solutions in the angular region are discussed. Moreover, it is verified that the existence time is proportional to the initial discontinuous position.

A multifactorial analysis of Chinese analytic long passive constructions marked by bèi, gěi and ràng in contemporary Chinese

Analytic passive constructions marked by bèi/gěi/ràng are the predominant strategy to indicate passive voice in Mandarin Chinese. While the Mandarin passive has been studied from various perspectives, it has not yet been analyzed using multifactorial methods to investigate its alternation. This study employs such methods to determine how language-internal factors predict the choice between bèi, gěi, and ràng long passives in Mandarin. Additionally, it examines whether the choice of variant differs between Mainland Chinese and Taiwan Chinese. To determine the combined effect of multiple linguistic factors, we use mixed-effects logistic regression based on a richly annotated dataset, following best practices in variationist (socio)linguistics. The results show that the marker bèi is preferred in atypical passive constructions. Gěi passives convey a more colloquial tone, while ràng passives inherit the attribute of avoidable events from ràng causatives, avoiding inanimate NP1s to prevent ambiguities. In comparison to Mainland Chinese, it is observed that in Taiwan Chinese, the typical passive marker bèi is more closely aligned with the old-before-new information structure paradigm and the traditional requirements of passive constructions in Mandarin Chinese. The marker ràng serves as a substitute for bèi when the context is positive. In contrast, Mainland Chinese is more innovative than Taiwan Chinese in the use of gěi passives.

Metaphor in grammatical works of linguists

The object of the research is metaphorical nominations in scientific linguistic discourse. The purpose of the study is to systematically describe the structural and semantic features of metaphors in grammatical works. The identification of expressive linguistic units in scientific texts is important for a comprehensive study of the relationship between rational and emotional in strict speech styles. The appeal to this topic is dictated by the need to find ways to present complex theoretical material in university syntax teaching. The article considers metaphors-words, metaphors-phrases and metaphors-predicative units characterizing transitional phenomena in the grammar of the Russian language. Metaphorical designations in the description of the desemanticized verbal components of analytical constructions and verbal connectives are highlighted. Metaphors characterizing other grammatical phenomena are analyzed. The role of verbal metaphors in the description of constitutive features of sentences of different types is established. The features of substantive and adjectival metaphors in grammatical works are noted. It is shown that the expanded metaphors demonstrate the multidimensional nature of syntactic categories. It is concluded that verbal and substantive metaphors convey the desire of linguists to present the grammatical system as dynamic, actively developing. The use of metaphorical names makes it possible to present grammatical theory in a more accessible way, to draw attention to interesting linguistic facts.

Fault geometry invariance and dislocation potential in antiplane crustal deformation: physics-informed simultaneous solutions

Earthquake-induced crustal deformation provides valuable insights into the mechanisms of tectonic processes. Dislocation models offer a fundamental framework for comprehending such deformation, and two-dimensional antiplane dislocations are used to describe strike-slip faults. Previous earthquake deformation analyses observed that antiplane dislocations due to uniform fault slips are influenced predominantly by fault tips. Here, we state a general principle of fault geometry invariance in antiplane dislocations and exploit its theoretical consequence to define dislocation potentials that enable a streamlined crustal deformation analysis. To demonstrate the benefits of this theory, we present an analytical example and construct a rapid numerical solver for crustal deformation caused by variable fault slip scenarios using physics-informed neural networks, whose mesh-free property is suitable for modeling dislocation potentials. Fault geometry invariance and the dislocation potential may further the analysis of antiplane crustal deformation, particularly for uncertainty quantification and inversion analysis regarding unknown fault geometries in realistic crustal structures.

Board of directors and innovation: A state‐of‐the‐art review from a contingency perspective

AbstractThe link between the board of directors and innovation has received increasing interest from scholars, executives, and policymakers in recent years. Nevertheless, it remains somewhat cryptic, mainly due to limitations in terms of analytical frameworks, theoretical constructs, and methodological designs, as well as the absence of an approach that integrates the importance of contingencies. Thus, a systematic literature review at the junction of the highest strategic body (i.e., board of directors) and one of the most strategic organizational outcomes (i.e., innovation) proves to be an opportune exercise both from a scientific and practical perspective. Ultimately, the approach adopted in this study has led to the emergence of an integrative conceptual framework from a contingency perspective and various observations that dissect the impact of the board of directors on innovation based on a corpus of 114 articles published over a period of 33 years. Also, a research agenda and some key recommendations are derived from the in‐depth analysis conducted and constitute solid foundations on which to build tomorrow's studies in this research field.

AOP report: Development of an adverse outcome pathway for deposition of energy leading to learning and memory impairment.

Understanding radiation-induced non-cancer effects on the central nervous system (CNS) is essential for the risk assessment of medical (e.g., radiotherapy) and occupational (e.g., nuclear workers and astronauts) exposures. Herein, the adverse outcome pathway (AOP) approach was used to consolidate relevant studies in the area of cognitive decline for identification of research gaps, countermeasure development, and for eventual use in risk assessments. AOPs are an analytical construct describing critical events to an adverse outcome (AO) in a simplified form beginning with a molecular initiating event (MIE). An AOP was constructed utilizing mechanistic information to build empirical support for the key event relationships (KERs) between the MIE of deposition of energy to the AO of learning and memory impairment through multiple key events (KEs). The evidence for the AOP was acquired through a documented scoping review of the literature. In this AOP, the MIE is connected to the AO via six KEs: increased oxidative stress, increased deoxyribonucleic acid (DNA) strand breaks, altered stress response signaling, tissue resident cell activation, increased pro-inflammatory mediators, and abnormal neural remodeling that encompasses atypical structural and functional alterations of neural cells and surrounding environment. Deposition of energy directly leads to oxidative stress, increased DNA strand breaks, an increase of pro-inflammatory mediators and tissue resident cell activation. These KEs, which are themselves interconnected, can lead to abnormal neural remodeling impacting learning and memory processes. Identified knowledge gaps include improving quantitative understanding of the AOP across several KERs and additional testing of proposed modulating factors through experimental work. Broadly, it is envisioned that the outcome of these efforts could be extended to other cognitive disorders and complement ongoing work by international radiation governing bodies in their review of the system of radiological protection.

Peierls Transition in Gross-Neveu Model from Bethe Ansatz

The two-dimensional Gross-Neveu model is anticipated to undergo a crystalline phase transition at high baryon charge densities. This conclusion is drawn from the mean-field approximation, which closely resembles models of Peierls instability. We demonstrate that this transition indeed occurs when both the rank of the symmetry group and the dimension of the particle representation contributing to the baryon density are large (the large N limit). We derive this result through the exact solution of the model, developing the large N limit of the Bethe ansatz. Our analytical construction of the large-N solution of the Bethe ansatz equations aligns perfectly with the periodic (finite-gap) solution of the Korteweg–de Vries (KdV) of the mean-field analysis. Published by the American Physical Society 2024

D’une institution à l’autre : de l’hypercomplexité de l’hôpital à la place singulière des psychologues institutionnels référés à la psychanalyse

ContextThis article aims to open a debate on how our contemporary societal context, both psychically and structurally, shapes the essential institution that is the public hospital. ObjectivesTo achieve this, the authors start with a clinical construction that allows them to highlight the hypercomplexity of the situations encountered daily by those who inhabit these spaces, including patients, their relatives, and the diverse healthcare providers. Following this, they focus on the unique role of the institutional psychologist who is referenced to psychoanalysis. MethodThe situation that opens this text, providing both its starting point and framework, is a clinical fiction. This narrative is composed of fragments from real, recurrently observed situations in our practice, supervision, and research settings – in other words, from foundational cases (Fustier, 2020). We align ourselves with a Freudian tradition, adopting the principle of analytical construction, positing that this situation is an initial level of interpretation of the hypercomplexity we aim to explore throughout this text. ResultsThe hypercomplexity observed and described in this clinical fiction led us to formulate numerous hypotheses and highlight the essential presence of psychoanalysis in hospitals. Psychoanalysis offers the necessary perspective to elaborate and impart meaning to otherwise unthinkable situations. InterpretationsFrom the conjunction of subjective experiences of somatic illness to the institutional issues unique to hospitals – intersected by the divergent representations of healthcare professionals – we emphasize the unique position of the psychodynamically oriented psychologist within this complex system.

Profiling analytic causative construction in Chinese: a multifactorial analysis of diachronic change

Abstract Taking a multifactorial approach, this article profiles the formal and semantic changes of Chinese analytic causative construction (CACC for short) and its jiao 1 , jiao 2 , ling, rang and shi micro-constructions. It is found that CACC micro-constructions have undergone two types of formal change. Building on a data-driven periodization of diachronic data, this study analyzes semantic changes of CACC and its micro-constructions from semasiological and onomasiological perspectives and at local constituent and global construction levels. Major findings are as follows: six stages are identified in the semantic development of CACC micro-constructions. Semasiologically, diachronic semantic prototypicality of CACC remains constant while that of its micro-constructions changes with time. A general polysemization route is followed by CACC and its micro-constructions, with the superordinate CACC governing the subordinate micro-constructions in semantic change pathway. Onomasiologically, diachronic semantic division of labor among CACC micro-constructions varies over time. For CACC micro-constructions, semantics of local causer, causee and effected predicate tends to change in concert with global constructional semantics at early and late periods of semantic development, whereas local and global semantic changes during the intermediary stages are usually partially coordinated. This study has demonstrated the application of collostructional analysis in investigating diachronic semantic change of a construction.

Complex Function-Based Fault Detection: A New Method to Measure the Complexity of Nonlinear Time Series

In this paper, we propose a new complexity computation based on the complex function. This measure exploits the dispersion Lempel–Ziv complexity (DLZC) and the dispersion statistical complexity measure based on Jensen–Shannon divergence (DCJS) of the analytic signal and constructs the binary complex function, called complex number complexity (CNC). The statistical measure depicts the complex system from different angle and mines more potential information. Through simulation experiments, we prove that the proposed method is able to detect data fluctuations more sensitively and accurately. For an application, the CNC is applied to fault detection which has different fault diameters and rotational speeds. The results deliver that the CNC measure can well represent the complexity of faulty bearings and has significant differences in any two fault types. The technique is effective to characterize different fault.

Green method for quantification of lavender and sweet orange essential oils in blends by synchronous fluorescence first derivative

A simple green method for the quantification of sweet orange and lavender essential oils (EOs) content in blends was developed using synchronous fluorescence of the first derivative spectra and sample preparation by surfactant-free microemulsions (SFMEs). Excitation and emission wavelengths pairs (λex/λem) were determined for both EOs (at 336/436 nm for sweet orange and at 330/388 nm for lavender). Optimization was conducted to establish the condition to prepare the SFMEs systems: 50 μL of oily phase containing EO diluted in octan-1-ol (1:4, v/v), 2.0 mL of water and propan-1-ol up to 5.0 mL final volume. Different proportions of EO in the oily phase were evaluated for analytical curves construction. Synchronous fluorescence measurements were performed and the acquired data were corrected by inner filter effect. Considering the first derivative of the synchronous scanning, data were extracted at 316.8 nm (Δλ = 100 nm) and 352.0 nm (Δλ = 58 nm) for sweet orange and lavender EOs, respectively, with correlation coefficients above 0.99. Limits of quantification of 7.97 μg mL−1 and 65.80 μg mL−1 were obtained indicating that 0.46% of sweet orange and 3.69% of lavender EOs can be quantified in mixtures. Simulated blends (25:75%, 50:50% and 75:25%, volume proportions) were also evaluated with recoveries of 71.5 – 128.9% and coefficient of variation between 3.1% – 11.6%. Additionally, the method's greenness was evaluated through three green metrics (Analytical Eco-Scale, GAPI, and AGREE) with consistent results.

FOREIGN ECONOMIC ACTIVITY IN THE SYSTEM OF ACCOUNTING AND ANALYTICAL MANAGEMENT SUPPORT

The article decomposes the foreign economic activity of enterprise through the prism of accounting and analytical support of management. It has been determined that current trends in the development of the domestic and world economy, specificity and peculiarities of activities of individual business entities in the field of foreign economic relations, the need for further development of methodology and methods of accounting and analysis of foreign economic activity, taking into account the objectively arising needs for the development of information support for management, determine the relevance of decomposition of foreign economic activity in the system of accounting and analytical support for management. It is substantiated that the basis for the decomposition of foreign economic activity in the system of accounting and analytical support of management is the concept of the type of activity. The organisation of accounting of foreign economic activity at a particular enterprise is largely determined by the type of foreign economic activity inherent in this enterprise. In the process of production and economic activity, enterprises, as a rule, face several types of foreign economic operations simultaneously. The accounting and analytical aspects of management of foreign economic activity of enterprise are systematised. A model of decomposition of the foreign economic activity of enterprise has been developed. It is proposed that the model of decomposition of foreign economic activity of enterprise should include types of foreign economic activity and accounting and analytical aspects, grouped into blocks: key aspects; characteristics of types of foreign economic activity, organisational and legal conditions, purpose, directions and results of functioning, accounting approaches and basic analytical criteria, performance indicators, structural construction and functioning, etc. The developed model provides for the reflection and determination of performance results by types, subtypes, segments and other classification features of foreign economic activity in order to obtain analytical, detailed, transparent and relevant information based on financial, management and strategic accounting data. Formation of an integrated system of accounting and analysis of foreign economic activity is based on consideration of regulatory, contractual, structural, accounting, analytical, control and software and hardware support of foreign economic activity.

How many inflectional forms does a Somali verb have?

Abstract The Somali verb is traditionally presented as having a quite large number of inflectional paradigms with, e.g., special negative forms and several kinds of subordinate clause forms. The complexity of traditional descriptions tends to overshadow important generalisations that would otherwise reflect a relative simplicity of the Somali verb system. The most important reasons for the abundance of paradigms are that forms, periphrastic constructions and their functions are not systematically differentiated, but also that the tonal accent and case marking are treated as parts of the inflection, instead of phrasal marking of syntactic or pragmatic functions. The aim of this article is therefore to suggest a simplified analysis and to define the minimal set of synthetic forms and analytical constructions that are necessary for the description of Somali verb inflection as well as the basic syntactic functions of these forms and constructions.

Analytic Construction of One-Electron Reduced Density Matrices from Electron Densities within Finite Basis Sets.

We show how to construct analytically all one-electron reduced density matrices (1-RDMs) compatible with a given electron density within a finite basis set, provided that the density is specified as a symmetric quadratic form in terms of the basis functions. Contrary to the current belief, exact linear dependencies in the basis function products assist, rather than hinder, such constructions. By applying the N-representability conditions to the analytically reconstructed 1-RDMs, one can perform a constrained search over physically acceptable 1-RDMs that yield a given finite-basis-set density. The discussion is illustrated with worked-out examples.

'I Do It All Alone': The Burdens and Benefits of Being Diagnosed With, and Treated for, Colorectal Cancer During the Covid-19 Pandemic.

The Covid-19 pandemic dramatically altered the way cancer care services were accessed and delivered, including for colorectal cancer (CRC). In the United Kingdom, patients were discouraged from presenting in primary care, many consultations took place remotely, investigative procedures and screening programmes were temporarily suspended, and fewer operations and treatments were delivered. People had to face the practical consequences of having cancer during a pandemic and navigate never before seen pathways, often alone. We examined the experience of being diagnosed and treated for CRC during the pandemic, and the implications of this on people's cancer journeys. Semi-structured interviews were undertaken with people diagnosed with CRC during the Covid-19 pandemic (January 2020-May 2021), in the North East of England. An iterative topic guide was used during interviews, which took place remotely (telephone or Zoom), were audio recorded, pseudo-anonymised and transcribed. Initial transcripts were independently coded by two researchers, and a code 'bank' developed for application across transcripts. Development of themes and overarching analytical constructs was undertaken collaboratively by the research team. Interviews were conducted with 19 participants, analysed and four key themes identified: (1) The relative threats of Covid-19 and Cancer were not comparable, with cancer seen as posing a far greater risk than Covid-19; (2) Remote consultations were problematic, affecting patients' abilities to build rapport and trust with clinicians, assess nonverbal communication, and feel able to disclose, comprehend and retain information; (3) Stoma follow-up care was seen to be lacking, with long wait times for stoma reversal experienced by some; Finally, (4) Being alone during consultations negatively impacted some peoples' abilities to absorb information, and left them without the support of loved ones at an emotionally vulnerable time. However, some participants preferred being alone at certain points in their pathways, including receiving a diagnosis, and most frequently when receiving in-patient treatment. Being alone brought unexpected benefits, absolving people from undertaking emotions work for others, and instead focus on their recovery, however, remote consultations negatively impacted patients' experiences. This study highlights the complex benefits and burdens of pandemic-located cancer journeys, including how these shifted at different points across cancer pathways. Lorraine Angell, a cancer survivor, has been central to this study from idea conception, contributing to: development of study focus and design; securing funding; production of patient-facing materials; development of interview topic guides; analysis and interpretation of data; and drafting of key findings and manuscripts.

“<i>Fresh</i> or not <i>Fresh?</i>” (Linguistic Portraying of the Word <i>Фреш</i> (Fresh) in Modern Journalistic Discourse)

The article examines the features of the functioning of the lexeme фреш (fresh) in modern journalistic discourse within the framework of the language portrait. The active spheres of functioning of the word фреш (fresh) in accordance with the subject of the texts are highlighted. The semantic volume of this lexeme has been clarified, which includes several meanings: “freshly squeezed juice”; “fresh, natural food”; “fresh, natural, original, new.” It has been established that the development of the semantics of the lexeme demonstrates the process of expanding the semantic volume due to the loss of hypersemes (“juice”, “food”) and the expansion of lexical compatibility. The morphological polyfunctionality of the analyzed lexeme, which acts as a noun or an indeclinable adjective as part of analytical constructions, is demonstrated. The facts of the expressive use of the word фреш (fresh) as proper names are described, as well as the inclusion of precedent phenomena in the game transformation. It has been established that while maintaining variability in the spelling of the word, the variant фреш (fresh) becomes predominant in frequency; various ways in the design of this word in the position of postposition in combinations are characterized.

Quality control of naringenin-carbamazepine drug-drug cocrystal: Quantitative analytical method construction of ATR-FTIR and Raman combined with chemometrics

Naringenin, commonly found in citrus fruits, is one of the active pharmaceutical ingredient (API) in naringenin-carbamazepine drug-drug cocrystal (NR-CBZ). In the preparation of cocrystal, quantitative determination of NR-CBZ is essential for the quality control. In this paper, ATR-FTIR and Raman spectroscopies combined with partial least squares (PLS) and principal component regression (PCR) were used to quantify NR-CBZ in the mixtures. To improve the accuracy of the prediction models, median, denoising, multiple scattering correction (MSC), first and second order derivatives, Savitzky-Golay filter and SNV were used and their performance was evaluated using prediction errors in combination with different spectral ranges. Raman spectra, PLS combined with Savitzky-Golay filter over the entire spectral range were found to determine the best content prediction result for NR-CBZ. The root mean square error of cross-validation (RMSECV), root mean square error of prediction (RMSEP) and squared correlation coefficient (R2) of the model were 0.101, 0.132 and 0.870, respectively.

Репрезентация категории косвенной эвиденциальности средствами стратегии уклонения в английском, русском, чувашском языках

This study conducts a contrastive typological analysis of linguistic markers of author’s and impersonal evidentiality in the English, Russian, and Chuvash languages. The research novelty lies in the systematic analysis of Chuvash indirect evidentiality markers in a comparative perspective. The study demonstrates that the “Nominative Case with Infinitive” construction, as a characteristic of author’s evidentiality in English, corresponds to Russian modal-suppositional and comparative particles, introductory words, and phrases (equivalent to the degree of certainty adverb “perhaps”), which express the speaker’s low assessment of the reported information’s reliability. In Russian, evidential particles, introductory words, and sentences (equivalent to the hearsay adverb “allegedly”) are used to indicate an unreliable source. The evidential particle “якобы” and the introductory word “мол” are common in speeches and statements. This approach to classifying evidentiality systems is also applicable to Chuvash. Modals, introductory words, and modal verb forms serve as lexical means of expressing author’s and impersonal evidentiality. The standard is to use two modal formants simultaneously. However, unlike English and Russian, evidentiality representations with negative meaning can be complex grammatical units represented by verbal analytical constructions. The findings suggest both universal and language-specific means of representing indirect evidentiality. Correlated representation of evidentiality and epistemic modality plays a significant semantic-pragmatic role in utterances as an effective evasion strategy.