Common Notation Research Articles

Some common statistical notation mistakes in the presentation of results

Some common statistical notation mistakes in the presentation of results

The effectiveness of Gen AI in assisting students’ knowledge construction in humanities and social sciences courses: learning behaviour analysis

ABSTRACT Currently, generative AI has undergone rapid development. Numerous studies have attested to the benefits of Gen AI in programming, mathematics and other disciplines. However, since Gen AI mostly uses English as the intrinsic training parameter, it is more effective in facilitating the teaching of courses that use international common notation, but few scholars have researched the fitness of Gen AI-assisted teaching of humanities courses in Chinese-language environments. To address these gaps, this study examined the learning behaviours of 30 students using Gen AI to help them answer questions on economic law tests using the Lag Sequential Analysis. The results show that the following: (1) The use of Gen AI to aid learning in an economic law course did not significantly improve the cognitive level of academics from the perspective of knowledge construction. (2) According to the characteristics of students’ behavioural paths via Gen AI-assisted learning, their behavioural patterns can be classified into autonomous and innovative, moderate, and lacking innovation. (3) Different learning modes when Gen AI-assisted teaching was used affected the final results, which were as follows: High-performing students favoured the autonomous and innovative pattern, medium-performing students favoured the moderate pattern, and low-performing students favoured the lacking innovation pattern.

Experimental analysis of the R290 variable geometry ejector with a spindle

The aim of this work was to experimentally analyze the variable geometry gas ejector with a spindle designed for operation with the natural working fluid propane (R290). The performance of the ejector was evaluated based on the mass entrainment ratio and critical temperature, being the most crucial parameters for optimizing the cooling capacity in ejector refrigeration systems, as well as the ejector efficiency using common literature notation. Additionally, local pressure drop measurements allowed for the determination of pressure profiles inside for different spindle positions used for capacity regulation. The experimentally defined ejector efficiency curves demonstrated the ability to control the ejector capacity by means of the spindle, irrespective of the unfavorable operating conditions. By decreasing the effective throat area using spindle, the ejector mass entertainment ratio increased by 35%. Spindle movement allowed for the decrease of the motive nozzle flow rate by up to 65%, while still maintaining the suction of the secondary flow of the ejector. Moreover, the behavior of a slight increase in suction nozzle flow with a decrease in motive nozzle flow has been observed for the initial movement of the spindle followed by a huge drop for further reduction of the effective throat area, confirming the previous conclusions shown in the literature.

Creating a common notation of the x86 processor software interface for automated disassembler construction

The subject of the study is the process of reverse engineering of programs in order to obtain their source code in low- or high-level languages for processors with x86 architecture, the software interface of which is developed by Intel and AMD. The object of the study is the technical specifications in the documentation produced by these companies. The intensity of updating documentation for processors is investigated and the need to develop technological approaches aimed at automated disassembler construction, taking into account regularly released and frequent updates of the processor software interface, is justified. The article presents a method for processing documentation in order to obtain a generalized, formalized and uniform specification of processor commands for further automated translation into the disassembler program code. The article presents two main results: the first is an analysis of the various options for describing commands presented in the Intel and AMD documentation, and a concise reduction of these descriptions to a monotonous form of representation; the second is a comprehensive syntactic analysis of machine code description notations and the form of representation of each command in assembly language. This, taking into account some additional details of the description of the commands, for example, the permissible operating mode of the processor when executing the command, made it possible to create a generalized description of the command for translating the description into the disassembler code. The results of the study include the identification of a number of errors in both the documentation texts and in the operation of existing industrial disassemblers, built, as shown by the analysis of their implementation, using manual coding. The identification of such errors in the existing reverse engineering tools is an indirect result of the author's research.

The dependent coordinates in the linearization of constrained multibody systems: Handling and elimination

In this paper, the handling of the dependent coordinates in the linearization of constrained multibody systems is clarified. To this end, a brief but comprehensive overview of linearization approaches used in the field of Multibody System Dynamics is presented. These procedures are illustrated by using a common notation and classified into four groups, depending on the initial form of the nonlinear equations of motion and the selection of the generalized coordinates (a redundant or a minimal set). The handling of the dependent coordinates in each of the procedures is discussed. The linearized equations of motion of constrained multibody systems are of great importance in several applications, such as linear stability and modal analyses, the design of linear state feedback controllers or the building of state and input estimators, like Kalman filters. When modeling a constrained multibody system, a number of coordinates greater than the number of degrees of freedom of the system is usually used. While some linearization approaches make use of the complete set of coordinates, several procedures are based on a coordinate partition in terms of independent and dependent coordinates to reduce the number of linearized equations of motion. In this latter scenario, the role of the dependent coordinates in the linearization is important and, in a general case, these dependent coordinates cannot be ignored to obtain the correct linearized equations of motion. This aspect, which may seem obvious, is not straightforward and is addressed in this work. The importance of considering the set of dependent coordinates in the linearization is demonstrated with a well-acknowledged bicycle benchmark multibody model and an electric kickscooter multibody model with rear and front suspensions. To this end, the Jacobian matrix and the linear stability results of these case studies are computed by considering different choices of independent and dependent coordinates.

Minimal port-Hamiltonian modeling of voice production: choices of fluid flow hypotheses, resulting structure and comparison

Voice production results from the interaction between expelled airflow and soft tissues in the larynx and the vocal tract. Among the large literature on this topic over the last fifty years, a few nonlinear fluid-structure interaction models have been proposed in the port-Hamiltonian framework for passivity purposes. In this paper, we examine, compare and discuss two lumped-element port-Hamiltonian models from the literature, both derived from distributed parameter descriptions and simplifying assumptions chosen to integrate the minimal relevant phenomena involved in the larynx (for self-oscillations) or the vocal tract (during articulation). These models are recalled and reformulated using common terminology and notations. This leads to equivalent circuit representations, the components and the structure of which allow direct comparison (about causality, dimension, nonlinear laws, coupling) and physical interpretation. These results highlight important properties to consider and provide guidelines for future modelling improvement to be used in simulation.

Stacking ensemble learning for optical music recognition

The development of music culture has resulted in a problem called optical music recognition (OMR). OMR is a task in computer vision that explores the algorithms and models to recognize musical notation. This study proposed the stacking ensemble learning model to complete the OMR task using the common western musical notation (CWMN) musical notation. The ensemble learning model used four deep convolutional neural networks (DCNNs) models, namely ResNeXt50, Inception-V3, RegNetY-400MF, and EfficientNet-V2-S as the base classifier. This study also analysed the most appropriate technique to be used as the ensemble learning model’s meta-classifier. Therefore, several machine learning techniques are determined to be evaluated, namely support vector machine (SVM), logistic regression (LR), random forest (RF), K-nearest neighbor (KNN), decision tree (DT), and Naïve Bayes (NB). Six publicly available OMR datasets are combined, down sampled, and used to test the proposed model. The dataset consists of the HOMUS_V2, Rebelo1, Rebelo2, Fornes, OpenOMR, and PrintedMusicSymbols datasets. The proposed ensemble learning model managed to outperform the model built in the previous study and succeeded in achieving outstanding accuracy and F1-scores with the best value of 97.51% and 97.52%, respectively; both of which were achieved by the LR meta-classifier.

End-to-end optical music recognition for pianoform sheet music

End-to-end solutions have brought about significant advances in the field of Optical Music Recognition. These approaches directly provide the symbolic representation of a given image of a musical score. Despite this, several documents, such as pianoform musical scores, cannot yet benefit from these solutions since their structural complexity does not allow their effective transcription. This paper presents a neural method whose objective is to transcribe these musical scores in an end-to-end fashion. We also introduce the GrandStaff dataset, which contains 53,882 single-system piano scores in common western modern notation. The sources are encoded in both a standard digital music representation and its adaptation for current transcription technologies. The method proposed in this paper is trained and evaluated using this dataset. The results show that the approach presented is, for the first time, able to effectively transcribe pianoform notation in an end-to-end manner.

Beyond the Unknown: A Broad Framing for Preparedness for Emerging Infectious Threats.

There have been multiple instances of novel pathogen emergence that have affected the health and security of the global community. To highlight that these novel pathogens presented a clear danger to public health, the WHO included "Disease X" on their list of priority pathogens in 2018. Indeed, since the emergence of SARS-CoV-2, Disease X has been pointed to as the looming threat of "the next big thing." However, developing surveillance and preparedness plans with Disease X as the linchpin is too narrow and ignores a large swath of potential threats from already identified, often neglected diseases. We propose instead the idea of "Disease f(x)" as a preferred call to arms with which to prioritize research and programmatic development. The common mathematical notation f(x) represents the knowledge that outbreaks are a function of many variables that define the transmission trajectory of that pathogen. Disease f(x) exploits commonalities across pathogen groupings while recognizing that emergences and outbreaks are fluid and that responses need to be agile and progressively tailored to specific pathogens with cultural and regional context. Adoption of this mindset across sectors, including biotechnology, disaster management, and epidemiology, will allow us to develop more efficient and effective responses to address the next major infectious threat.

Special Feature: Linking capture-recapture and movement.

Special Feature: Linking capture-recapture and movement.

A Convergent Understanding of Charged Defects

ConspectusHistorically, defects in semiconductors and ionic conductors have been studied using very different approaches. In the solid-state ionics community, nonstoichiometry and defect thermochemistry are often probed directly through experiments. The dependency of defect concentrations on chemical conditions (typically oxygen pressure) are modeled using a physical chemistry framework and compactly represented by the well-known Brouwer diagrams. In contrast, defects in electronic materials are now studied primarily with computational approaches─often density functional theory (DFT)─based on semiconductor physics in which the energy of defect formation also has an explicit dependence on the Fermi level, making the defect energy diagram multidimensional. As charged defects begin to attract the attention of experts from both schools of thought for applications in thermoelectrics, solar cells, batteries, fuel cells, and other electrochemical devices, a consistent understanding of charged defects addressing the apparent gaps in the two approaches is necessary.This Account reviews both methods using a common notation and thermodynamics to clarify misunderstandings between the fields. We demonstrate the equivalence between the Brouwer diagrams obtained from DFT calculated defect energy diagrams and those constructed using the simple analytical theory described in physical chemistry textbooks. We show how the explicit Fermi level dependence of defect energy in semiconductor physics appears as an electron concentration in the mass action law using a constant defect energy defined in a standard state, ΔGd⊖. ΔGd⊖ can also be visualized on a defect energy diagram. Furthermore, we develop the utility of a Brouwer band diagram to compactly map defect and charge concentration as well as important electronic dopability information in compound semiconductors over a multidimensional chemical potential space into a single 2-dimensional plot.Semiconductors and ion conductors often have distinct mechanisms to compensate for the additional charge introduced by extrinsic (or impurity) doping with aliovalent species. Whereas such extrinsic doping in ionic conductors (e.g., Gd doped CeO2–x) results in the formation of intrinsic ionic defects (e.g., VO), in the case of traditional semiconductors (e.g., P doped Si) free electronic charge carriers are formed. Using the example of thermoelectric Mg3Sb2, which can exhibit both these mechanisms depending on chemical conditions, we explain charge compenstaion of extrinsic dopants (e.g., doping efficiency) using the simple mass action laws for intrinsic defect reactions.

Real-time Analysis of Interactive Scores in PWGL

In this article, we introduce an original approach to computerized music analysis within the graphical computer-assisted composition environment called PWGL. Our aim is to facilitate real-time analysis of interactive scores written in common Western music notation. To this end, we have developed a novel library that allows us to analyze scores realized with the help of ENP, and to visualize the results of the analysis in real-time. ENP is the native music notation tool of PWGL able to produce automatically typeset and interactive music notation. Here, it is extended to support the display of analytical information that can be drawn on top of the score as an overlay. The analysis backend is realized with the help of our built-in musical scripting language. The language is based on pattern-matching and allows for a rich access of score information. The results of the analysis are presented directly as a part of the original score leveraging the extensible and interactive visualization capabilities of ENP.

Real-time Analysis of Interactive Scores in PWGL

In this article, we introduce an original approach to computerized music analysis within the graphical computer-assisted composition environment called PWGL. Our aim is to facilitate real-time analysis of interactive scores written in common Western music notation. To this end, we have developed a novel library that allows us to analyze scores realized with the help of ENP, and to visualize the results of the analysis in real-time. ENP is the native music notation tool of PWGL able to produce automatically typeset and interactive music notation. Here, it is extended to support the display of analytical information that can be drawn on top of the score as an overlay. The analysis backend is realized with the help of our built-in musical scripting language. The language is based on pattern-matching and allows for a rich access of score information. The results of the analysis are presented directly as a part of the original score leveraging the extensible and interactive visualization capabilities of ENP.

Augmenting Digital Sheet Music through Visual Analytics

AbstractMusic analysis tasks, such as structure identification and modulation detection, are tedious when performed manually due to the complexity of the common music notation (CMN). Fully automated analysis instead misses human intuition about relevance. Existing approaches use abstract data‐driven visualizations to assist music analysis but lack a suitable connection to the CMN. Therefore, music analysts often prefer to remain in their familiar context. Our approach enhances the traditional analysis workflow by complementing CMN with interactive visualization entities as minimally intrusive augmentations. Gradual step‐wise transitions empower analysts to retrace and comprehend the relationship between the CMN and abstract data representations. We leverage glyph‐based visualizations for harmony, rhythm and melody to demonstrate our technique's applicability. Design‐driven visual query filters enable analysts to investigate statistical and semantic patterns on various abstraction levels. We conducted pair analytics sessions with 16 participants of different proficiency levels to gather qualitative feedback about the intuitiveness, traceability and understandability of our approach. The results show that MusicVis supports music analysts in getting new insights about feature characteristics while increasing their engagement and willingness to explore.

Abstracting and formalising the design co-evolution model

Abstract Co-evolution accounts have generally been used to describe how problems and solutions both change during the design process. More generally, problems and solutions can be considered as analytic categories, where change is seen to occur within categories or across categories. There are more categories of interest than just problems and solutions, for example, the participants in a design process (such as members of a design team or different design teams) and categories defined by design ontologies (such as function-behaviour-structure or concept-knowledge). In this paper, we consider the co-evolution of different analytic categories (not just problems and solutions), by focussing on how changes to a category originate either from inside or outside that category. We then illustrate this approach by applying it to data from a single design session using three different systems of categorisation (problems and solutions, different designers and function, behaviour and structure). This allows us to represent the reciprocal influence of change within and between these different categories, while using a common notation and common approach to graphing quantitative data. Our approach demonstrates how research traditions that are currently distinct from each other (such as co-evolution, collaboration and function-behaviour-structure) can be connected by a single analytic approach.

Optical glass selection for color corrected broadband instrumentation: an overview.

The aim of this paper is to provide a complete and helpful review of all existing techniques for the selection of optical glasses that are applied during the design of color corrected lens-based systems. The paper fills a gap in the related literature, where there was no contribution bringing all approaches together under a common notation. This allows to identify commonalities and discrepancies, as well as to compare their fundamentals. Special attention has been paid to its application to optical instrumentation working in a wide spectral range (visible and short-wave infrared). All glass selection strategies have been implemented to the design of a broadband lens-based camera case study, which allows establishing a comparison among all methods and their results. A new, to the best of our knowledge, approach is suggested to adapt the focal shift curve over a continuous working spectral range at convenience.

Unified Mathematical Formulation of Monogenic Phase Congruency

Phase congruency is a technique that has been used for edge, corner and symmetry detection. Its implementation through the use of monogenic filters has improved its computational cost. For this purpose, different methods of implementation have been published, but they do not use a common notation, which makes it difficult to understand. Therefore, this paper presents a unified mathematical formulation that allows a general understanding of the Monogenic phase congruency concepts and establishes criteria for its use. A new protocol for parameter tuning is also described, allowing better practical results to be obtained with this technique. Some examples are presented allowing one to observe the changes produced in the parameter tuning, evidencing the validity of the proposed criteria.

An integrated path for spatial capture-recapture and animal movement modeling.

Ecologists and conservation biologists increasingly rely on spatial capture-recapture (SCR) and movement modeling to study animal populations. Historically, SCR has focused on population-level processes (e.g., vital rates, abundance, density, and distribution), whereas animal movement modeling has focused on the behavior of individuals (e.g., activity budgets, resource selection, migration). Even though animal movement is clearly a driver of population-level patterns and dynamics, technical and conceptual developments to date have not forged a firm link between the two fields. Instead, movement modeling has typically focused on the individual level without providing a coherent scaling from individual- to population-level processes, whereas SCR has typically focused on the population level while greatly simplifying the movement processes that give rise to the observations underlying these models. In our view, the integration of SCR and animal movement modeling has tremendous potential for allowing ecologists to scale up from individuals to populations and advancing the types of inferences that can be made at the intersection of population, movement, and landscape ecology. Properly accounting for complex animal movement processes can also potentially reduce bias in estimators of population-level parameters, thereby improving inferences that are critical for species conservation and management. This introductory article to the Special Feature reviews recent advances in SCR and animal movement modeling, establishes a common notation, highlights potential advantages of linking individual-level (Lagrangian) movements to population-level (Eulerian) processes, and outlines a general conceptual framework for the integration of movement and SCR models. We then identify important avenues for future research, including key challenges and potential pitfalls in the developments and applications that lie ahead.

Revealing Sonic Wisdom in the Works of Cat Hope

There are many ways in which wisdom pervades artistic discourse. It is only recently, however, that a concerted effort has been made to understand the wisdom embodied in music. Drawing from the literal translation of phonosophy, this article attempts to unveil what might be described as sonic wisdom from a composer’s perspective, derived from an interview between Australian philosopher Samuel McAuliffe and composer Cat Hope. Hope’s notational practice challenges the hierarchies established by common practice notation, resulting in her contemporary art music being accessible to a wider range of performers, including those that do not read any music notations. Engagement with Hope’s notation leads to a revealing and transfer of a different kind of sonic wisdom than found in more traditionally notated works, in a process facilitated by technologies and articulated through musicianship.

The Future is Graphic: Animated notation for contemporary practice

A growing number of musicians are recognising the importance of re-thinking notation and its capacity to support contemporary practice. New music is increasingly more collaborative and polystylistic, engaging a greater range of sounds from both acoustic and electronic instruments. Contemporary compositional approaches combine composition, improvisation, found sounds, production and multimedia elements, but common practice music notation has not evolved to reflect these developments. While traditional notations remain the most effective way to communicate information about tempered harmony and the subdivision of metre for acoustic instruments, graphic and animated notations may provide an opportunity for the representation and communication of electronic music. If there is a future for notating electronic music, the micro-tonality, interactivity, non-linear structures, improvisation, aleatoricism and lack of conventional rhythmic structures that are features of it will not be facilitated by common practice notation. This article proposes that graphic and animated notations do have this capacity to serve electronic music, and music that combines electronic and acoustic instruments, as they enable increased input from performers from any musical style, reflect the collaborative practices that are a signpost of current music practice. This article examines some of the ways digitally rendered graphic and animated notations can represent contemporary electronic music-making and foster collaboration between musicians and composers of different musical genres, integrating electronic and acoustic practices.