Dimensional analysis can offer us explanations by allowing us to answer What-if–things-had-been-different? questions rather than in virtue of, say, unifying diverse phenomena, important as that is. Additionally, it is argued that dimensional analysis is a form of modelling as it involves several of the aspects crucial in modelling, such as misrepresenting aspects of a target system. By highlighting the continuities dimensional analysis has with forms of modelling we are able to describe more precisely what (...) makes dimensional analysis explanatory and understand otherwise puzzling aspects of dimensional reasoning, such as introducing fictitious dimensions and excluding dimensionally relevant information to characterise some systems. Finally, thinking of dimensional arguments as a form of modelling allows an explication of the role abstraction and multiple realisability; not as compatibility with other possible worlds but as compatibility with different fictional descriptions of our own world. (shrink)

Using dimensional analysis, we demonstrate that it is possible to quantify changes in the topological structure of cardiac dynamics over long periods of time. A method was developed to calculate a dimension-like measure (referred to here as apparent dimension) from a correlation algorithm within a data window of 500 heart beats which is moved in equidistant steps over the time series of the RR intervals over 24 hours. The correspondence between the apparent dimension and the correlation dimension was (...) tested using artificial data sequences. Furthermore 24 hour electrocardiographic recordings of two healthy subjects and of a patient with acute myocardial infarction were examined. The reliability of the analysis could be demonstrated and changes in dimension reflecting physiological as well as pathophysiological changes were observed. (shrink)

This dissertation draws upon historical studies of scientific practice and contemporary issues in the metaphysics and epistemology of science to account for the nature of physical quantities. My dissertation applies this integrated HPS approach to dimensional analysis—a logic for quantitative physical equations which respects the distinct dimensions of quantities (e.g. mass, length, charge). Dimensional analysis and its historical development serve both as subjects of study and as a sources for solutions to contemporary problems. The dissertation consists (...) primarily of three related papers on: (1) the methodological and metaphysical foundations of dimensional analysis, (2) the use of dimensional analysis in determining physical symmetries, (3) the use of dimensional analysis in securing metrological extension. (shrink)

Nursing models of care show promise in addressing the needs of older adults facing serious illness through supporting inner strength. However, previous conceptual and theoretical models of inner strength are limited. This concept analysis used dimensional analysis methods to explore inner strength in people ageing with serious illness to address limitations by defining a pragmatic, data‐driven model. This study analyzed published literature of adults with serious illness that describes inner strength. Thirty articles were selected after review. The (...) result was an explanatory matrix that describes inner strength from the perspective of where have I been, where am I going? within the context of being a person who is living and dies and you have a serious illness. The conditions spotlighting by actors around me and taking stock of others and ideas lead to processes of looking in/looking out and seeing me as I’m seen. The final consequence of this process is meeting me. This updated concept analysis of inner strength improves upon previous models by providing a clinically relevant situation‐specific model of inner strength for people with serious illness. Implications for nursing scholarship and practice are described including exploration of person‐centered care, relational practice, and health communication. (shrink)

This paper presents a representational theory of derived physical measurements. The theory proceeds from a formal definition of a class of similar systems. It is shown that such a class of systems possesses a natural proportionality structure. A derived measure of a class of systems is defined to be a proportionality-preserving representation whose values are n-tuples of positive real numbers. Therefore, the derived measures are measures of entire physical systems. The theory provides an interpretation of the dimensional parameters in (...) a large class of physical laws, and it accounts for the monomial dimensions of these parameters. It is also shown that a class of similar systems obeys a dimensionally invariant law, which one may safely subject to a dimensional analysis. (shrink)

Pablo Gilabert and Holly Lawford-Smith have, both in collaboration and individually, provided a compelling account of feasibility, which states that feasibility is both ‘binary’ and ‘scalar’, and both ‘synchronic’ and ‘diachronic’. This two-dimensional analysis, however, has been the subject of four major criticisms: it has been argued that it rests upon a false distinction between ‘hard’ and ‘soft’ constraints, that it ignores the importance of intentional action, and that diachronic feasibility is incoherent and insensitive to the existence of (...) epistemic limitations. In this paper, I will argue that such objections do not undermine the persuasiveness of Gilabert and Lawford-Smith’s analysis. Nevertheless, I will contend that the latter is susceptible to two other challenges. First, it mistakenly appeals to morality, and, second, it lacks an analysis of ability. I will maintain, however, that such criticisms can be addressed and that a revised version of the account should be adopted. (shrink)

Pablo Gilabert and Holly Lawford-Smith have, both in collaboration and individually, provided a compelling account of feasibility, which states that feasibility is both ‘binary’ and ‘scalar’, and both ‘synchronic’ and ‘diachronic’. This two-dimensional analysis, however, has been the subject of four major criticisms: it has been argued that it rests upon a false distinction between ‘hard’ and ‘soft’ constraints, that it ignores the importance of intentional action, and that diachronic feasibility is incoherent and insensitive to the existence of (...) epistemic limitations. In this paper, I will argue that such objections do not undermine the persuasiveness of Gilabert and Lawford-Smith’s analysis. Nevertheless, I will contend that the latter is susceptible to two other challenges. First, it mistakenly appeals to morality, and, second, it lacks an analysis of ability. I will maintain, however, that such criticisms can be addressed and that a revised version of the account should be adopted. (shrink)

The rise of dimensional analysis in the latter part of the nineteenth century occurred largely in the context of electromagnetism. It soon appeared that the subject, albeit seemingly straightforward, was in fact wrought with difficulties. These revealed deep conceptual issues regarding the character of physical quantities. Usually, whether or not these problems actually constituted inconsistencies was itself a matter of debate. In one instance, however, regarding the electrostatic dimensions of the magnetic pole, all protagonists agreed that the matter (...) required attention. A controversy ensued in 1882. Its resolution partly relied on the realization that it arose from differences between the scientific cultures prevalent on the Continent versus in Great Britain. These cultural differences concerned the possible relevance of the medium in which interactions involving magnetic poles take place, as well as the understanding of permeability in Ampère’s model of magnetism. The controversy around the electrostatic dimensions of the magnetic pole entailed crucial issues that were soon to play just as central a part in a wider debate about the dimensions of electromagnetic quantities in different systems of units. Why the latter topic was never raised during the 1882 controversy provides insights into the early understanding of dimensional analysis. (shrink)

This paper presents several applications of the dimensional analysis method to problems investigated in medical sciences. The method is used to analyze various complex processes without using formal laws governing the same. It is particularly suitable for a general analysis of fluid transfer in the human body. This paper mainly serves as an overview of selected applications, mostly those emerging in the recent years, and includes a discussion of the mathematical fundamentals of dimensional analysis together (...) followed by its critical analysis. Containing detailed calculations of two examples, the paper also serves as training material in the area of the computational method of the dimensional analysis algorithm. (shrink)

ABSTRACTThe emergence of dimensional analysis in the early nineteenth century involved a redefinition of the pre-existing concepts of homogeneity and dimensions, which entailed a shift from a qualitative to a quantitative conception of these notions. Prior to the nineteenth century, these concepts had been used as criteria to assess the soundness of operations and relations between geometrical quantities. Notably, the terms in such relations were required to be homogeneous, which meant that they needed to have the same geometrical (...) dimensions. The latter reflected the nature of the quantities in question, such as volume vs area. As natural philosophy came to encompass non-geometrical quantities, the need arose to generalize the concept of homogeneity. In 1822, Jean Baptiste Fourier consequently redefined it to be the condition an equation must satisfy in order to remain valid under a change of units, and the ‘dimension' correspondingly became the power of a conversion factor. When these innovations eventually found an echo in France and Great Britain, in the second half of the century, tensions arose between the former, qualitative understanding of dimensions as reflecting the nature of physical quantities, and the new, quantitative conception based on unit conversion and measurement. The emergence of dimensional analysis thus provides a case study of how existing rules and concepts can find themselves redefined in the context of wider conceptual changes; in the present case this redefinition involved a generalization, but also a shift in meaning which led to conceptual tensions. (shrink)

El tercer volumen de la obra estética de Kierkegaard publicada en 1843 reúne cuatro discursos que forman el objeto de estudio de este análisis. La intención es presentar una imagen del pensamiento religioso de Kierkegaard, mostrar la dimensiones temáticas de este tercer volumen, a la par de clarificar las interrelaciones de los discursos y ofrecer una herramienta que subraya las ideas principales por medio del listado de vocabulario de alta frecuencia de ocurrencias. Las preguntas principales que se atienden en este (...) trabajo son: ¿cuáles son las sesenta principales palabras utilizadas en el tercer volumen de los discursos de 1843? ¿cuáles son las tres dimensiones textuales primarias de este volumen? y ¿cuál es el núcleo o en qué se enfoca este volumen? El método que se utiliza en este análisis consiste en la construcción de una versión de los discursos legible para una máquina sobre la cual se aplican técnicas de análisis computacional que a partir de una lista de sesenta palabras anormalmente frecuentes en los cuatro discursos del tercer volumen genera una matriz que arroja porcentajes y estadísticas que ayudan al investigador a reconstruir el núcleo de la obra analizada, así como a identificar los argumentos principales y los puntos en común que el mapeo arroja de la comparación de las partes del texto. (shrink)

On the nature of definitions and concepts, and the definition of critical thinking.

Background: Moral distress is an important and well-studied phenomenon among nurses and other healthcare providers, yet the conceptualization of parental moral distress remains unclear. Objective: The objective of this dimensional analysis was to describe the nature of family moral distress in serious pediatric illness. Design and methods: A dimensional analysis of articles retrieved from a librarian-assisted systematic review of Scopus, CINAHL, and PsychInfo was conducted, focusing on how children, parents, other family members, and healthcare providers describe (...) parental moral distress, both explicitly through writings on parental moral experience and implicitly through writings on parental involvement in distressing aspects of the child’s serious illness. Ethical considerations: To promote child and family best interest and minimize harm, a nuanced understanding of the moral, existential, emotional, and spiritual impact of serious pediatric illness is needed. The cases used in this dimensional analysis come from the first author’s IRB approved study at the Children’s Hospital of Philadelphia and subsequent published studies; or have been adapted from the literature and the authors’ clinical experiences. Findings: Three dimensions emerged from the literature surrounding parent moral distress: an intrapersonal dimension, an interpersonal dimension, and a spiritual/existential dimension. The overarching theme is that parents experience relational solace and distress because of the impact of their child’s illness on relationships with themselves, their children, family, healthcare providers, their surrounding communities, and society. Discussion: Elucidating this concept can help nurses and other professionals understand, mitigate, or eliminate antecedents to parental moral distress. We discuss how this model can facilitate future empirical and conceptual bioethics research, as well as inform the manner in which healthcare providers engage, collaborate with, and care for families during serious pediatric illness. Conclusion: Parent moral distress is an important and complex phenomenon that requires further theoretical and empirical investigation. We provide an integrated definition and dimensional schematic model that may serve as a starting point for future research and dialogue. (shrink)

The rise of dimensional analysis in the latter part of the nineteenth century occurred largely in the context of electromagnetism. It soon appeared that the subject, albeit seemingly straightforward, was in fact wrought with difficulties. These revealed deep conceptual issues regarding the character of physical quantities. Usually, whether or not these problems actually constituted inconsistencies was itself a matter of debate. In one instance, however, regarding the electrostatic dimensions of the magnetic pole, all protagonists agreed that the matter (...) required attention. A controversy ensued in 1882. Its resolution partly relied on the realization that it arose from differences between the scientific cultures prevalent on the Continent versus in Great Britain. These cultural differences concerned the possible relevance of the medium in which interactions involving magnetic poles take place, as well as the understanding of permeability in Ampère’s model of magnetism. The controversy around the electrostatic dimensions of the magnetic pole entailed crucial issues that were soon to play just as central a part in a wider debate about the dimensions of electromagnetic quantities in different systems of units. Why the latter topic was never raised during the 1882 controversy provides insights into the early understanding of dimensional analysis. (shrink)

Background:Caring for patients with serious illness may severely strain clinicians causing distress and probable poor patient outcomes. Unfortunately, clinician distress and its impact historically has received little attention.Research purpose:The purpose of this article was to investigate the nature of clinician distress.Research design:Qualitative inductive dimensional analysis.Participants and research context:After review of 577 articles from health sciences databases, a total of 33 articles were eligible for analysis.Ethical considerations:This study did not require ethical review and the authors adhered to appropriate (...) academic standards in their analysis.Findings:A narrative of clinician distress in the hospital clinician in the United States emerged from the analysis. This included clinicians’ perceptions and sense of should or the feeling that something is awry in the clinical situation. The explanatory matrix consequence of clinician distress occurred under conditions including: the recognition of conflict, the recognition of emotion, or the recognition of a mismatch; followed by a process of an inability to feel and act according to one’s values due to a precipitating event.Discussion:This study adds three unique contributions to the concept of clinician distress by (1) including the emotional aspects of caring for seriously ill patients, (2) providing a new framework for understanding clinician distress within the clinician’s own perceptions, and (3) looking at action outside of a purely moral lens by dimensionalizing data, thereby pulling apart what has been socially constructed.Conclusion:For clinicians, learning to recognize one’s perceptions and emotional reactions is the first step in mitigating distress. There is a critical need to understand the full scope of clinician distress and its impact on the quality of patient-centered care in serious illness. (shrink)

Combining the frameworks of multi-dimensional analysis and rhetorical structure theory, this study examines the linguistic co-occurrence patterns in the discourse of corporate annual reports and interprets their underlying functional dimensions. Our corpus consists of texts of corporate 10K reports from firms listed on New York Stock Exchange. Five functional dimensions are quantitatively extracted and qualitatively interpreted: expression of direct persuasion; expression of impersonal stance; subjective versus objective positioning; integrative expression of stance versus fragmented expression; and expression of reliability. (...) All these dimensions contribute to the communicative function of persuasion. The analysis of the rhetorical structures of excerpts with high concentrations of co-occurring linguistic features on each dimension further indicates the communicative strategy of persuasion. The proposed MD model is then applied to analyze the effect of firm performance on the linguistic variation in CAR discourse. We found that firm performance can significantly affect the linguistic variation in CAR discourse. CAR discourse from firms with good performance is more reliable. The result reveals managements’ use of concealment strategy in impression management. This study has implications for MD analysis, business discourse analysis, language pedagogy and accounting research. (shrink)

This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed (...) case study illustrating the power of 2SDL, we examine the system DL of Deontic Logic of Andrew Jones and Ingmar Pörn offered in 1985 to solve the Chisholm paradox of Contrary to Duties. The critical examination is done using logics and methods available in 1985 and solutions are proposed using what was available in 1985. (shrink)

This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed (...) case study illustrating the power of 2SDL, we examine the system DL of Deontic Logic of Andrew Jones and Ingmar Pörn offered in 1985 to solve the Chisholm paradox of Contrary to Duties. The critical examination is done using logics and methods available in 1985 and solutions are proposed using what was available in 1985. (shrink)

This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed (...) case study illustrating the power of 2SDL, we examine the system DL of Deontic Logic of Andrew Jones and Ingmar Pörn offered in 1985 to solve the Chisholm paradox of Contrary to Duties. The critical examination is done using logics and methods available in 1985 and solutions are proposed using what was available in 1985. (shrink)

Delineation of the subthalamic nuclei on MRI is critical for deep brain stimulation surgery in patients with Parkinson’s disease. We propose this retrospective cohort study for quantitative analysis of MR signal-to-noise ratio, contrast, and signal difference-to-noise ratio of the STN on pre-operative three-dimensional stereotactic MRI in patients with medication-refractory PD. Forty-five consecutive patients with medication-refractory PD who underwent STN-DBS surgery in our hospital from January 2018 to June 2021 were included in this study. All patients had whole-brain 3D (...) MRI, including T2-weighted imaging, T2-weighted fluid-attenuated inversion recovery, and susceptibility-weighted imaging, at 3.0 T scanner for stereotactic navigation. The signal intensities of the STN, corona radiata, and background noise were obtained after placing regions of interest on corresponding structures. Quantitative comparisons of SNR, contrast, and SDNR of the STN between MR pulse sequences, including the T2WI, FLAIR, and SWI. Subgroup analysis regarding patients’ sex, age, and duration of treatment. We used one-way repeated measures analysis of variance for quantitative comparisons of SNR, contrast, and SDNR of the STN between different MR pulse sequences, and we also used the dependent t-test for the post hoc tests. In addition, we used Mann–Whitney U test for subgroup analyses. Both the contrast and SDNR were highest on FLAIR. The SNR was highest on SWI, and both the SNR and SDNR were lowest on T2WI. Subgroup analyses demonstrated significantly lower SDNR on SWI for patients receiving medication treatment for ≥13 years. In conclusion, on 3D stereotactic MRI of medication-refractory PD patients, the contrast and SDNR for the STN are highest on FLAIR, suggesting the optimal delineation of STN on FLAIR. (shrink)

Solid-state processing of metal material is a very complex physical and chemical process, which is coupled by a series of variations including heat transfer, momentum transfer, mass transfer, and phase change. Applying three-dimensional finite element numerical method to the simulation of solid-state processing can perform analysis of metal material’s forging processes before production trial production, can obtain their relevant information such as material flow law, temperature field, and strain field under the minimum physical test conditions, thereby predicting metal (...) material’s forming defects and improving their forging quality. On the basis of summarizing and analyzing previous research works, this paper expounded the current status and significance of solid-state processing of metal materials, elaborated the development background, current status, and future challenges of 3D finite element numerical simulation, introduced the discrimination method and free surface solution method of numerical simulation calculation, conducted finite element model’s geometric assumptions, material selection, element division, model establishment, parameter selection, and initial and boundary condition determination, and simulated and analyzed rheological casting, remelting heating, thixoforming, and rotary piercing processes of metal materials. The results show that the 3D finite element numerical method can not only simulate various processes of flow field, temperature field, stress field, and microstructure in solid-state processing but also can provide a reliable basis for effectively obtaining a reasonable description and finding a more optimized design plan for metal material processing in a short time, which plays an important role in understanding and analyzing solid metal forming process, controlling and optimizing process parameters, guiding and mastering rheological casting, and secondary heating and rotary piercing of metal materials. (shrink)

The concept of attractors is considered critical in the study of dynamical systems as they represent the set of states that a system gravitates toward. However, it is generally difficult to analyze attractors in complex systems due to multiple reasons including chaos, high-dimensionality, and stochasticity. This paper explores a novel approach to analyzing attractors in complex systems by utilizing networks to represent phase spaces. We accomplish this by discretizing phase space and defining node associations with attractors by finding sink strongly (...) connected components within these networks. Moreover, the network representation of phase space facilitates the use of well-established techniques of network analysis to study the phase space of a complex system. We show the latter by introducing a new node-based metric called attractivity which can be used in conjunction with the SSCC as they are highly correlated. We demonstrate the proposed method by applying it to several chaotic dynamical systems and a large-scale agent-based social simulation model. (shrink)

The method of Quasi-Analysis used by Carnap in his program of theconstitution of concepts from finite observations has the following twogoals: (1) Given unsharp observations in terms of similarity relations thetrue properties of the observed objects shall be obtained by a suitablelogical construction. (2) From a single relation on a finite domain,different dimensions of qualities shall be reconstructed and identified. Inthis article I show that with a slight modification Quasi-Analysis iscapable of fulfilling the first goal for a single (...) observable dimension. Weobtain a partition of the so-called Quality Classes representing thepairwise disjoint and exhaustive extensions associated to the ``values'''' ofthe observable. On the other hand, an example demonstrates that the methodfails, as Goodman has pointed out, for a relation expressing similarity withregard to at least one out of many properties.Since it seems to be impossible in general to reconstruct more-dimensionalqualities from a single similarity relation, the constitution of at least asmany similarity relations as there are qualities have to be presumed. Thenit is possible to state adequate sufficient conditions for the dimension ofthe observable space, even if some of the similarity relations might dependon others. The concept of topological dimension cannot be used for thispurpose on finite sets of observations. We replace it by a set-algebraicalcondition on the Quality Classes. (shrink)

A three dimensional hypercube representing all of the 4,096 dyadic computations in a standard bivalent system has been created. It has been constructed from the 16 functions arrayed in a table of functional completeness that can compute a dyadic relationship. Each component of the dyad is an operator as well as a function, such as “implication” being a result, as well as an operation. Every function in the hypercube has been color keyed to enhance the display of emerging patterns. (...) At the minimum, the hypercube is a “multiplication table” of dyadic computations and produces values in a way that shortens the time to do operations that normally would take longer using conventional truth table methods. It also can serve as a theorem prover and creator. With the hypercube comes a deductive system without the need for axioms. The main significance of the 3-D hypercube at this point is that it is the most fundamental way of displaying all dyadic computations in binary space, thus serving as a way of normalizing the rendition of uninterpreted, or raw, binary space. The hypercube is a dimensionless entity, a standard by which in binary spaces can be measured and classified, analogous to a meter stick. (shrink)

This paper is divided into three sections. In the first section I briefly outline the background of the problem, i.e. Kripke’s modal argument (Kripke 1980). In the second section I present Chalmers’ account of two- dimensional semantics and two-dimensional argument against physicalism. In the third section I criticize Chalmers’ approach based on two crucial points, one is about necessity of identities and the other is about microphysi- cal descriptions and a priori derivation.

This paper is reporting on electronic implementation of a three-dimensional autonomous system with infinite equilibrium point belonging to a parabola. Performance analysis of an adaptive synchronization via relay coupling and a hybrid steganography chaos encryption application are provided. Besides striking parabolic equilibrium, the proposed three-dimensional autonomous system also exhibits hidden chaotic oscillations as well as hidden chaotic bursting oscillations. Electronic implementation of the hidden chaotic behaviors is done to confirm their physical existence. A good qualitative agreement is (...) shown between numerical simulations and OrCAD-PSpice results. Moreover, adaptive synchronization via relay coupling of three three-dimensional autonomous systems with a parabolic equilibrium is analysed by using time histories. Numerical results demonstrate that global synchronization is achieved between the three units. Finally, chaotic behavior found is exploited to provide a suitable text encryption scheme by hidden secret message inside an image using steganography and chaos encryption. (shrink)