∏定理教学中若干值得注意的问题

以降膜流动中气、液相间质量传递过程的量纲分析为例,结合物理背景和∏定理应用两方面展示该定理应用于物理问题分析时值得注意的一些方面,重点指明物理分析和相似模化的结合方法,以及将该定理用于工程放大的方法。

A scoping review of autoethnography in nursing

Objective:Autoethnography combines personal experiences with cultural analysis,emerging as a response to the limitations of traditional ethnography.This review aimed to explore,describe,and delineate the utilization of autoethnography by nurses published in peer-reviewed journals.Methods:A scoping review was conducted according to the Arksey and O’Malley framework.On October 12,2023,autoethnographic studies in nursing were identified through searches of CINAHL,PubMed,PsycINFO,and Scopus.Peer-reviewed articles published in English language were retrieved.We applied no date restriction.Data were extracted on nursing,epiphany,results,style of writing,implications for nursing,and ethical considerations.Results:Twenty-six articles met the inclusion criteria.Mental health nursing,covered by nine articles,elucidated experiences of stigma,ethical dilemmas,and professional identity.Nursing education,represented by seven articles,highlighted identity struggles,systemic biases,and evolving pedagogies.Palliative care,addressed by three articles,provided insights into communication challenges and emotional complexities in end-of-life care.The remaining articles explored rehabilitation,cultural competence,and chronic pain management.A conceptual framework integrating ontological,epistemological,ethical,and practical dimensions was developed,emphasizing the interplay between personal and professional roles.Conclusions:This review underscores autoethnography’s value in uncovering the cultural and ethical dimensions of nursing.This framework advocates for a reflective,culturally attuned approach to healthcare,fostering transformative changes in nursing.Further research should explore underrepresented nursing specialties to harness autoethnography’s potential fully.

Omega results for coefficients of Rankin-Selberg L-functions over sparse sequences

Ω results involving the coefficients of automorphic L-functions are important research object in analytic number theory.Let f be a primitive holomorphic cusp form.Denote by λ_(f×f)(n) the nth Fourier coefficient of Rankin-Selberg L-function L(f×f,s).This paper combines Kühleitner and Nowak′s Omega theorem and the analytic properties of Rankin-Selberg L-functions to study Omega results for coefficients of Rankin-Selberg L-functions over sparse sequences,and establishes the asymptotic formula for Σ_(n≤x)λf×f(n^(m))(m=2,3).

Characteristics of moral distress from nurses’perspectives:An integrative review

Objective:This integrative review aimed to identify the common characteristics of moral distress in nursing and distinguish it from other types of distress by examining nurses’perspectives in the literature.These insights will help update existing tools and create new ones to capture moral distress better,guiding the development and implementation of strategies to support nurses in addressing this challenge.Methods:Whittemore and Knafl’s integrative review method was employed to guide a systematic search for literature in three databases(EBSCO Medline,CINAHL,and PubMed).Additionally,two journals,Bioethics and Nursing Ethics,were manually searched to reduce search bias.The included studies were primary resources published in English between 2018 and 2023,utilizing quantitative,qualitative,or mixed methods to examine moral distress’s characteristics,components,and definitions.All of identified studies were screened,extracted,and analyzed independently by two researchers.Results:Nineteen studies were included.The results were grouped into five themes shaping the main characteristics of moral distress:1)experiencing a moral situation,with five ethically conflicted situations identified,including treatment plans,professional and personal moral values,team dynamics,complex contexts,clinical practices,and patient-centered care;2)making a moral judgment,where nurses experience moral distress when they cannot act consistently with their values,ethical principles,and moral duties;3)the presence of constraints,categorized at three levels:individual factors related to the nurse,patient,and patient’s family;team factors related to the team or unit involved;and system factors,including institutional and policy elements;4)moral wrongdoing,which occurs when nurses are unable to perform the right moral action;and 5)moral suffering,with studies showing that moral distress impacts physical,emotional,and psychological well-being.Conclusion:The findings enhance the understanding of moral distress characteristics among nursing staff,highlighting the concept of the crescendo effect,which underscores the cumulative and escalating nature of unresolved moral distress,emphasizing the need to address moral conflicts proactively to prevent the erosion of moral integrity and professional satisfaction.

量纲分析在基础物理学中的应用

量纲分析法是研究物理问题的重要方法之一.本文在阐述量纲分析的基本理论∏定理的基础上,运用量纲分析解决具体的物理问题,并举出一些实例进行了论证.

浅议物理学中的量纲分析法

尽管量纲分析法在分析物理运动规律,总结、整理实验数据时具有重要作用,但它并不万能。它不能区别同一物理运动过程中量纲相同、但物理意义不同的量,也不能判断某一物理量与所研究的物理过程是否相关,它必须以实验数据为前提,并用实验来加以检验。

Gradient Estimate of Solutions to a Class of Mean Curvature Equations with Prescribed Contact Angle Boundary Problem

This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum point,the boundary gradient estimation of the solutions to the equation is obtained.

Self-management behavior preferences and influencing factors in Chinese patients with recurrent gout:A qualitative study

Objectives:This study aimed to explore the preferences and influencing factors of self-management behaviors in patients with recurrent gout and provide a theoretical basis for developing targeted strategies to improve self-management preferences.Methods:A total of 10 patients with recurrent gout were recruited from the gout specialist outpatient clinic at a tertiary hospital in Shenyang,Liaoning Province,China.Semi-structured interviews were conducted with these patients,and the Kawakita Jiro(KJ)method was used to analyze the interview data.Results:After four rounds of screening by five researchers,35 codes were selected from an initial 132.After three rounds of discussion and induction,the KJ method identified seven domains of selfmanagement behavior preferences in patients with recurrent gout:1)extensive knowledge of gout,yet difficulty in distinguishing between accurate and inaccurate information;2)a passive attitude of“no pain,no management”;3)the challenge of changing entrenched daily habits;4)the optimistic but unrealistic belief of“self-delusion”;5)a tendency to seek medical attention late due to hopelessness of cure and familiarity with recurrences;6)preference for analgesics for gout recurrences while neglecting long-term urate-lowering therapy(ULT);and 7)gout-related stigma.Conclusion:The results of this study showed that the self-management behavior of patients with recurrent gout could be improved,especially in the aspects of medical seeking behavior,medication compliance,daily management and emotional management.At the same time,we found that gout stigma,difficulty in distinguishing true and false knowledge of gout and negative attitude of“ignoring pain”were significantly associated with self-management behavior.

Acoustic location echo signal extraction of buried non-metallic pipelines based on EMD and wavelet threshold joint denoising

In the acoustic detection process of buried non-metallic pipelines,the echo signal is often interfered by a large amount of noise,which makes it extremely difficult to effectively extract useful signals.An denoising algorithm based on empirical mode decomposition(EMD)and wavelet thresholding was proposed.This method fully considered the nonlinear and non-stationary characteristics of the echo signal,making the denoising effect more significant.Its feasibility and effectiveness were verified through numerical simulation.When the input SNR(SNRin)is between-10 dB and 10 dB,the output SNR(SNRout)of the combined denoising algorithm increases by 12.0%-34.1%compared to the wavelet thresholding method and by 19.60%-56.8%compared to the EMD denoising method.Additionally,the RMSE of the combined denoising algorithm decreases by 18.1%-48.0%compared to the wavelet thresholding method and by 22.1%-48.8%compared to the EMD denoising method.These results indicated that this joint denoising algorithm could not only effectively reduce noise interference,but also significantly improve the positioning accuracy of acoustic detection.The research results could provide technical support for denoising the echo signals of buried non-metallic pipelines,which was conducive to improving the acoustic detection and positioning accuracy of underground non-metallic pipelines.

The Growth Theorem for Convex Maps on the Banach Space

In this paper,the growth theorem for convex maps on the Banach space is given, this is: ‖f(x)‖≤‖x‖/(1-‖x‖),x∈B the estimate is best possible for Hilbert space.

THEOREMS OF INTERVAL FUZZY SET AND ITS OPERATION RULES

Although the concept of interval fuzzy set and its properties have been defined, its three theorems and their effectiveness are not proved. Therefore, the knowledge presentation and its operation rules of interval fuzzy set are studied firstly, and then the cut set of interval fuzzy set is proposed. Moreover, the decomposition theo- rem, the representation theorem and the extension theorem of interval fuzzy set are presented. Finally, examples are given to demonstrate that the classical fuzzy set is a special case of interval fuzzy set and interval fuzzy set is an effective expansion of the classical fuzzy set.

Existence of Periodic Solutions for Higher Order Autonomous Birkhoff Systems

Qualitative methods of ordinary differential equation and Liapunov center theorem were used to study the existence of periodic solutions for higher order autonomous Birkhoff systems. For higher order autonomous Birkhoff systems, the character of the characteristic roots of the Fréchet derivative C was obtained. Furthermore the existence theorem of periodic solutions was obtained by using Liapunov center theorem, and an example was presented to illustrate the results.

Poisson Theory of Generalized Birkhoff Systems

To study the Poisson theory of the generalized Birkhoff systems, the Lie algebra and the Poisson brackets were used to establish the Poisson theorem. The generalized Poisson condition for the first integral and the generalized Poisson theorem of the generalized Birkhoff systems are obtained. An example is given to illustrate the application of the result.

Several Fundamental Theorems and Conservative Integrals in Quasicrystal Elasticity Theory

Aim To extend several fundamental theorems of conventional elasticity theory to quasicrystalelasticity theory. Methods The basic governing equations of quasicrystal elasticity theory and Gauss's theorem were applied in the derivation. Results and Conclusion The principle of virtual work, Betti's reciprocal theorem and the uniqueness theorem of quasicrystal elasticity theory are proud, and some conservative integrals in quasicrystal elasticty theory are obtained.

The Logical Properties of Filters of Lattice Implication Algebra

In this paper, we discuss some propertie s of lattice implication algebra and difine the transitivity of implication in a set, we show the transitivity of implication and the substitution Theorem hold i n filters. So every filter of lattice implication algebra satisfies the Syllogis m and substitution Theorem of propositional logic.

On Some Fundamental Theorems in Stability Theory

This paper gives several fundamental theorems for the stability, uniform stability, asymptotic stability and uniform asymptotic stability. Those theorems allow the derivative of Lyapunov functions to be positive on certain sets,relax the restriction about the rate of change of state variable in a system to be bounded in Marachkov's theorem and extend the related results in [4—7].

The Growth Theorem for Almost Starlike Mappings of Order α on Bounded Starlike Circular Domains

In this paper,we extend the definition of almost starlike mappings of order 1/2 on B n to the almost starlike mappings of order α on the bounded starlike circular domains in C n,and give the growth theorem of it. This type of domain on which we discuss is rather general,in the sense that the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it.

Seismic data reconstruction based on CS and Fourier theory

Traditional seismic data sampling follows the Nyquist sampling theorem. In this paper, we introduce the theory of compressive sensing （CS）, breaking through the limitations of the traditional Nyquist sampling theorem, rendering the coherent aliases of regular undersampling into harmless incoherent random noise using random undersampling, and effectively turning the reconstruction problem into a much simpler denoising problem. We introduce the projections onto convex sets （POCS） algorithm in the data reconstruction process, apply the exponential decay threshold parameter in the iterations, and modify the traditional reconstruction process that performs forward and reverse transforms in the time and space domain. We propose a new method that uses forward and reverse transforms in the space domain. The proposed method uses less computer memory and improves computational speed. We also analyze the antinoise and anti-aliasing ability of the proposed method, and compare the 2D and 3D data reconstruction. Theoretical models and real data show that the proposed method is effective and of practical importance, as it can reconstruct missing traces and reduce the exploration cost of complex data acquisition.

NOVEL IMMERSED BOUNDARY-LATTICE BOLTZMANN METHOD BASED ON FEEDBACK LAW

The lattice Boltzmann method （LBM） and the immersed boundary method （IBM） are alternative, com- putational techniques for solving complex fluid dynamics systems, and can take the place of the Navier-Stokes（N- S） equation. This paper proposes a novel immersed boundary-lattice Boltzmann method （IB-LBM） based on the feedback law. The method uses the immersed boundary concept in the LBM framework to capture the coupling between a body with complex geometry and a uniform fluid, Then, the flows around a stationary circular cylinder and two circular cylinders in a side by side arrangement are simulated by using the method. Results are agreed well with the benchmark data, so, the capability of the method for complex geometry is demonstrated. Different from the conventional IB-LBM, which uses the Hook＇s law or the direct forcing method to compute the interae- tion force, the method uses the feedback law--the feedback of velocity field and displacement information to calculate the force, thus ensuring the method has advantages of easy implementation and full parallelism.

A Geometric Process Repair Model for the Repairable System Consisting of One Component

This paper considers the optimal replacement problem of a repairable system consisting of one component and a single repairman, assume that the system after repair is not 'as good as new', by using the geometric process, we consider a placement policy T based on the age of the system. The problem is to determine the optimal replacement policy T * such that the long_run expected benefit per unit time is maximized. Also, the explicit expression of the long_run expected benefit per unit time can be found. In some conditions, the existence and uniqueness of the optimal policy T * can be proved, finally, we prove that the policy T * is better than the policy T * in .