In mathematics, space encompasses various structured sets such as Euclidean, metric, or vector space. This article introduces temporal space—a novel concept independent of traditional spatial dimensions and frames of...In mathematics, space encompasses various structured sets such as Euclidean, metric, or vector space. This article introduces temporal space—a novel concept independent of traditional spatial dimensions and frames of reference, accommodating multiple object-oriented durations in a dynamical system. The novelty of building temporal space using finite geometry is rooted in recent advancements in the theory of relationalism which utilizes Euclidean geometry, set theory, dimensional analysis, and a causal signal system. Multiple independent and co-existing cyclic durations are measurable as a network of finite one-dimensional timelines. The work aligns with Leibniz’s comments on relational measures of duration with the addition of using discrete cyclic relational events that define these finite temporal spaces, applicable to quantum and classical physics. Ancient formulas have symmetry along with divisional and subdivisional orders of operations that create discrete and ordered temporal geometric elements. Elements have cyclically conserved symmetry but unique cyclic dimensional quantities applicable for anchoring temporal equivalence relations in linear time. We present both fixed equivalences and expanded periods of temporal space offering a non-Greek calendar methodology consistent with ancient global timekeeping descriptions. Novel applications of Euclid’s division algorithm and Cantor’s pairing function introduce a novel paired function equation. The mathematical description of finite temporal space within relationalism theory offers an alternative discrete geometric methodology for examining ancient timekeeping with new hypotheses for Egyptian calendars.展开更多
This article broadens terminology and approaches that continue to advance time modelling within a relationalist framework. Time is modeled as a single dimension, flowing continuously through independent privileged poi...This article broadens terminology and approaches that continue to advance time modelling within a relationalist framework. Time is modeled as a single dimension, flowing continuously through independent privileged points. Introduced as absolute point-time, abstract continuous time is a backdrop for concrete relational-based time that is finite and discrete, bound to the limits of a real-world system. We discuss how discrete signals at a point are used to temporally anchor zero-temporal points [t = 0] in linear time. Object-oriented temporal line elements, flanked by temporal point elements, have a proportional geometric identity quantifiable by a standard unit system and can be mapped on a natural number line. Durations, line elements, are divisible into ordered unit ratio elements using ancient timekeeping formulas. The divisional structure provides temporal classes for rotational (Rt24t) and orbital (Rt18) sample periods, as well as a more general temporal class (Rt12) applicable to either sample or frame periods. We introduce notation for additive cyclic counts of sample periods, including divisional units, for calendar-like formatting. For system modeling, unit structures with dihedral symmetry, group order, and numerical order are shown to be applicable to Euclidean modelling. We introduce new functions for bijective and non-bijective mapping, modular arithmetic for cyclic-based time counts, and a novel formula relating to a subgroup of Pythagorean triples, preserving dihedral n-polygon symmetries. This article presents a new approach to model time in a relationalistic framework.展开更多
Background: Workload, interpersonal relationships, professional conflict and the emotional cost of providing care are potential sources of stress and burnout among nurses. Based on experiences of hospital nurses, this...Background: Workload, interpersonal relationships, professional conflict and the emotional cost of providing care are potential sources of stress and burnout among nurses. Based on experiences of hospital nurses, this paper aims to identify critical factors for nurses in managing relationally demanding situations in care for very ill and/or dying patients. Methods: In-depth interviews were carried out with six nurses, working in a medium-sized hospital in Norway. The interviews were analysed using an interpretative phenomenological analysis. Results: The lack of identification with the core aspect of the job, relational contact with patients and relatives, and external motivation were found as potential barriers for managing relationally demanding jobs. The results also indicate that the nurses’ experiences of symptoms of burnout can be a result of demands that exceeded the nurses’ resources. A match between personal capacity and demands, mutual support among colleagues and leadership support, and contextual factors are critical to prevent the negative process of burnout. Conclusion: The results underscore the importance of an early response to employees who are beginning to struggle at work and the relevance of a true match between personal capacity and job demands. Moreover support among colleagues and leadership seems critical to prevent a negative process of burnout and help to manage relationally demanding jobs.展开更多
Background: Based on the experience of hospital nurses, the aim of this study is to explore the phenomenon of how work-engaged nurses stay healthy in relationally demanding jobs involving very sick and/or dying patien...Background: Based on the experience of hospital nurses, the aim of this study is to explore the phenomenon of how work-engaged nurses stay healthy in relationally demanding jobs involving very sick and/or dying patients. Method: In-depth interviews were conducted with ten work-engaged nurses employed at the main hospital in one region in Norway. The interviews were interpreted using the Interpretative Phenomenological Analysis method (IPA). Results: The results indicate the importance of using the personal resources: authenticity and a sense of humour for staying healthy. The nurses’ authenticity, in the sense of having a strong sense of ownership towards their personal life experiences, and a sense of having a meaningful life in line with their own values and interests, was an important element when they considered their own health to be good in spite of repetitive strain injuries and perceived stress. These personal resources seem to be positively related to their well-being and work engagement, which serves as an argument for including them among other personal resources, often conceptualized in terms of Psychological Capital (PsyCap). The results also showed that the nurses worked actively and intentionally with conditions that could contribute to safeguarding their own health. Conclusion: The results indicated the importance of stimulating the nurses’ area of knowledge about caring for themselves in order to enable them to maintain good physical and mental health. A focus on self-care should be part of the agenda as early as during nursing education.展开更多
The theory of relativity links space and time to account for observed events in four-dimensional space. In this article we describe an alternative static state causal discrete time modeling system using an omniscient ...The theory of relativity links space and time to account for observed events in four-dimensional space. In this article we describe an alternative static state causal discrete time modeling system using an omniscient viewpoint of dynamical systems that can express object relations in the moment(s) they are observed. To do this, three key components are required, including the introduction of independent object-relative dimensional metrics, a zero-dimensional frame of reference, and application of Euclidean geometry for modeling. Procedures separate planes of matter, extensions of space (relational distance) and time (duration) using object-oriented dimensional quantities. Quantities are converted into base units using symmetry for space (Dihedral<sub>360</sub>), time (Dihedral<sub>12</sub>), rotation (Dihedral<sub>24</sub>), and scale (Dihedral<sub>10</sub>). Geometric elements construct static state outputs in discrete time models rather than continuous time using calculus, thereby using dimensional and positional natural number numerals that can visually encode complex data instead of using abstraction and irrationals. Static state Euclidean geometric models of object relations are both measured and expressed in the state they are observed in zero-time as defined by a signal. The frame can include multiple observer frames of reference where each origin, point, is the location of a distinct privileged point of reference. Two broad and diverse applications are presented: a one-dimensional spatiotemporal orbital model, and a thought experiment related to a physical theory beyond Planck limits. We suggest that expanding methodologies and continued formalization, novel tools for physics can be considered along with applications for computational discrete geometric modeling.展开更多
文摘In mathematics, space encompasses various structured sets such as Euclidean, metric, or vector space. This article introduces temporal space—a novel concept independent of traditional spatial dimensions and frames of reference, accommodating multiple object-oriented durations in a dynamical system. The novelty of building temporal space using finite geometry is rooted in recent advancements in the theory of relationalism which utilizes Euclidean geometry, set theory, dimensional analysis, and a causal signal system. Multiple independent and co-existing cyclic durations are measurable as a network of finite one-dimensional timelines. The work aligns with Leibniz’s comments on relational measures of duration with the addition of using discrete cyclic relational events that define these finite temporal spaces, applicable to quantum and classical physics. Ancient formulas have symmetry along with divisional and subdivisional orders of operations that create discrete and ordered temporal geometric elements. Elements have cyclically conserved symmetry but unique cyclic dimensional quantities applicable for anchoring temporal equivalence relations in linear time. We present both fixed equivalences and expanded periods of temporal space offering a non-Greek calendar methodology consistent with ancient global timekeeping descriptions. Novel applications of Euclid’s division algorithm and Cantor’s pairing function introduce a novel paired function equation. The mathematical description of finite temporal space within relationalism theory offers an alternative discrete geometric methodology for examining ancient timekeeping with new hypotheses for Egyptian calendars.
文摘This article broadens terminology and approaches that continue to advance time modelling within a relationalist framework. Time is modeled as a single dimension, flowing continuously through independent privileged points. Introduced as absolute point-time, abstract continuous time is a backdrop for concrete relational-based time that is finite and discrete, bound to the limits of a real-world system. We discuss how discrete signals at a point are used to temporally anchor zero-temporal points [t = 0] in linear time. Object-oriented temporal line elements, flanked by temporal point elements, have a proportional geometric identity quantifiable by a standard unit system and can be mapped on a natural number line. Durations, line elements, are divisible into ordered unit ratio elements using ancient timekeeping formulas. The divisional structure provides temporal classes for rotational (Rt24t) and orbital (Rt18) sample periods, as well as a more general temporal class (Rt12) applicable to either sample or frame periods. We introduce notation for additive cyclic counts of sample periods, including divisional units, for calendar-like formatting. For system modeling, unit structures with dihedral symmetry, group order, and numerical order are shown to be applicable to Euclidean modelling. We introduce new functions for bijective and non-bijective mapping, modular arithmetic for cyclic-based time counts, and a novel formula relating to a subgroup of Pythagorean triples, preserving dihedral n-polygon symmetries. This article presents a new approach to model time in a relationalistic framework.
文摘Background: Workload, interpersonal relationships, professional conflict and the emotional cost of providing care are potential sources of stress and burnout among nurses. Based on experiences of hospital nurses, this paper aims to identify critical factors for nurses in managing relationally demanding situations in care for very ill and/or dying patients. Methods: In-depth interviews were carried out with six nurses, working in a medium-sized hospital in Norway. The interviews were analysed using an interpretative phenomenological analysis. Results: The lack of identification with the core aspect of the job, relational contact with patients and relatives, and external motivation were found as potential barriers for managing relationally demanding jobs. The results also indicate that the nurses’ experiences of symptoms of burnout can be a result of demands that exceeded the nurses’ resources. A match between personal capacity and demands, mutual support among colleagues and leadership support, and contextual factors are critical to prevent the negative process of burnout. Conclusion: The results underscore the importance of an early response to employees who are beginning to struggle at work and the relevance of a true match between personal capacity and job demands. Moreover support among colleagues and leadership seems critical to prevent a negative process of burnout and help to manage relationally demanding jobs.
文摘Background: Based on the experience of hospital nurses, the aim of this study is to explore the phenomenon of how work-engaged nurses stay healthy in relationally demanding jobs involving very sick and/or dying patients. Method: In-depth interviews were conducted with ten work-engaged nurses employed at the main hospital in one region in Norway. The interviews were interpreted using the Interpretative Phenomenological Analysis method (IPA). Results: The results indicate the importance of using the personal resources: authenticity and a sense of humour for staying healthy. The nurses’ authenticity, in the sense of having a strong sense of ownership towards their personal life experiences, and a sense of having a meaningful life in line with their own values and interests, was an important element when they considered their own health to be good in spite of repetitive strain injuries and perceived stress. These personal resources seem to be positively related to their well-being and work engagement, which serves as an argument for including them among other personal resources, often conceptualized in terms of Psychological Capital (PsyCap). The results also showed that the nurses worked actively and intentionally with conditions that could contribute to safeguarding their own health. Conclusion: The results indicated the importance of stimulating the nurses’ area of knowledge about caring for themselves in order to enable them to maintain good physical and mental health. A focus on self-care should be part of the agenda as early as during nursing education.
文摘The theory of relativity links space and time to account for observed events in four-dimensional space. In this article we describe an alternative static state causal discrete time modeling system using an omniscient viewpoint of dynamical systems that can express object relations in the moment(s) they are observed. To do this, three key components are required, including the introduction of independent object-relative dimensional metrics, a zero-dimensional frame of reference, and application of Euclidean geometry for modeling. Procedures separate planes of matter, extensions of space (relational distance) and time (duration) using object-oriented dimensional quantities. Quantities are converted into base units using symmetry for space (Dihedral<sub>360</sub>), time (Dihedral<sub>12</sub>), rotation (Dihedral<sub>24</sub>), and scale (Dihedral<sub>10</sub>). Geometric elements construct static state outputs in discrete time models rather than continuous time using calculus, thereby using dimensional and positional natural number numerals that can visually encode complex data instead of using abstraction and irrationals. Static state Euclidean geometric models of object relations are both measured and expressed in the state they are observed in zero-time as defined by a signal. The frame can include multiple observer frames of reference where each origin, point, is the location of a distinct privileged point of reference. Two broad and diverse applications are presented: a one-dimensional spatiotemporal orbital model, and a thought experiment related to a physical theory beyond Planck limits. We suggest that expanding methodologies and continued formalization, novel tools for physics can be considered along with applications for computational discrete geometric modeling.
