Search

The sun is a fundamental element of the natural environment, and kinetic equations are crucial mathematical models for determining how quickly the chemical composition of a star like the sun is changing. Taking motivation from these facts, we develop and solve a novel fractional kinetic equation containing Fermi–Dirac (FD) and Bose–Einstein (BE) functions. Several distributional properties of these functions and their proposed new generalizations are investigated in this article. In fact, it is proved that these functions belong to distribution space  D ′ while their Fourier transforms belong to  Z ′. Fourier and Laplace transforms of these functions are computed by using their distributional representation. Thanks to them, we can compute various new fractional calculus formulae and a new relation involving the Fox–Wright function. Some fractional kinetic equations containing the FD and BE functions are also formulated and solved. [ABSTRACT FROM AUTHOR]

We propose boson sampling from a system of coupled photons and Bose–Einstein condensed atoms placed inside a multi-mode cavity as a simulation process testing the quantum advantage of quantum systems over classical computers. Consider a two-level atomic transition far-detuned from photon frequency. An atom–photon scattering and interatomic collisions provide interactions that create quasiparticles and excite atoms and photons into squeezed entangled states, orthogonal to the atomic condensate and classical field driving the two-level transition, respectively. We find a joint probability distribution of atom and photon numbers within a quasi-equilibrium model via a hafnian of an extended covariance matrix. It shows a sampling statistics that is ♯P-hard for computing, even if only photon numbers are sampled. Merging cavity-QED and quantum-gas technologies into a hybrid boson sampling setup has the potential to overcome the limitations of separate, photon or atom, sampling schemes and reveal quantum advantage. [ABSTRACT FROM AUTHOR]

This research article investigates the dynamic characteristics of solitary waves within a medium exhibiting weak nonlinearity in dual-mode. Firstly, the three models are converted to dual-mode. The primary focus is to investigate the behavior of solitary waves in a system described by a fourth-order nonlinear Schrödinger (NLS) equation, which incorporates Kerr nonlinearity, weak nonlocality, parabolic law nonlinearity and diffraction. By employing ansatz methods, the study successfully derives various localized waveforms, including bright, dark and singular solitons, based on the governing model. The examination extends to investigating the influence of nonlocality and power coefficients on dynamics of bright, dark and singular solitons. The findings presented in this article represent a crucial advancement in understanding the generation of solitary waves in nonlinear media. As the examined model finds application in various fields such as plasma physics, Bose-Einstein condensates and others, these findings not only enhance our theoretical understanding but also pave the way for potential practical applications and the advancement of innovative technologies. [ABSTRACT FROM AUTHOR]

Objective: Ni-Ti memory alloys are unusual materials for hard-tissue replacement because of their unique superelasticity, good biocompatibility, high strength, low specific gravity, low magnetism, wear resistance, corrosion resistance and fatigue resistance. The current study aims to evaluate its mechanical properties and provide biomechanical basis for the clinical application of the prosthesis. Methods: Ten adult metacarpophalangeal joint specimens were randomly divided into a prosthesis group (n = 5, underwent metacarpophalangeal joint prosthesis) and a control group (n = 5, underwent sham operation). Firstly, the axial compression strength was tested with BOSE material testing machine to evaluate its biomechanical strength. Secondly, these specimens were tested for strain changes using BOSE material testing machine and GOM non-contact optical strain measurement system to evaluate the stress changes. Thirdly, fatigue test was performed between groups. Lastly, the mechanical wear of the metacarpophalangeal joint prosthesis was tested with ETK5510 material testing machine to study its mechanical properties. Results: Axial compression stiffness in the prosthesis group was greater than that in the control group in terms of 30 ° and 60 ° flexion positions (P < 0.05). There was no statistically significant difference between two groups with regards to axial compression stiffness and stress change test (P > 0.05). In the fatigue wear test, the mean mass loss in the prosthesis group's prosthesis was 17.2 mg and 17.619 mm3, respectively. The mean volume wear rate was 0.12%. There was no statistically significant difference in the maximum pull-out force of the metacarpal, phalangeal, and polymer polyethylene pads between the prosthesis group and the control group specimens. Conclusions: Ni-Ti memory alloy metacarpophalangeal joint prosthesis conforms to the biomechanical characteristics of metacarpophalangeal joints without implants, and the fatigue strength can fully meet the needs of metacarpophalangeal joint activities after joint replacement. [ABSTRACT FROM AUTHOR]

Based on the two-dimensional Gross–Pitaevskii equation model, we investigated the asymmetric vortex evolution of two-dimensional Bose–Einstein condensates in a harmonic potential trap with polar direction perturbation. This corresponds to the generation of an asymmetric vortex evolution mode under initial vortex light manipulation together with polar direction perturbation. Unlike most of the prior work on this topic that uses a pure numerical method for the system under study, we use an exact analytical method rather than numerical simulation to investigate the key features of the system evolution dynamics in this study. Based on the variational method, and for different system parameter settings including the strength of the harmonic oscillator potential and the nonlinear interaction, we derived two evolution modes, namely, the periodic evolution oscillation mode and the monotonic decay mode, and pictorially demonstrated the evolution patterns of the system. In addition, we investigated the scenario when the system is in the rotating state, which corresponds to the action of the quadratic centrifugal potential. Notably, we also identified the damping effects for the two modes with increasing angular velocity, whose upper limit value corresponds to the constant vortex pattern of the system. Our theoretical results can be used to guide the experimental investigation of asymmetric vortex evolution in two-dimensional Bose–Einstein condensates. [ABSTRACT FROM AUTHOR]

The article focuses on the potential standards of review as considered by the courts for retaliation claims under the First Amendment to U.S. Constitution. Topics discussed include Bennie v. Munn court case addressing the history of the independent review standard; analysis of laws by the courts before deciding whether an issue should receive independent review; and Bose Corp. v. Consumers Union court case on the same.

The article offers information on several acoustical patent reviews in the U.S. Among the acoustic devices mentioned include the acoustical loudspeaker filed by acoustic loudspeaker maker Focal-JMLab, the transducer with integrated sensor filed by audio equipment specialist Bose Corp., and the audio output circuit electronic device filed by electronics industry company Rohm Co. Ltd.

An essay is presented on discourses of noise, personal space and otherness in marketing and mass media coverage surrounding the Bose QuietComfort Acoustic Noise Cancelling Headphones. According to the author, business travelers are encouraged to use these products as soundscaping devices to suppress their perception of other people rather than confront systemic problems associated with air travel. The relationship between air travel and neoliberalism is also discussed.

Examines the process management and supply-chain integration of Bose Corp. Approach on quality management; Stages in business relationship; Nature of products produced by the company.

Orchestrating programs of organizational transformation that result in sustained process improvement represents a difficult managerial challenge. Yet, ever-changing customer requirements, electronic partnerships, and increasingly complex intraorganizational arrangements are forcing many well-established firms to transform themselves from function-based forms of organization into process-based systems of managerial, task, and evaluative arrangements. Through a program of managed transformation, the In formation Services (IS) function at Bose Corporation has realized dramatic improvements in the delivery of information products/services and is now "charting the course" for a sustained process management view that will define and measure business relationships well into the next century. In contrast to many well-publicized programs of change, the drive toward sustained process improvement and innovation by Bose IS resembles an evolutionary model of organizational learning and information sharing rather than a revolutionary model of immediate and drastic transformation. This study describes the defining stages, key events, and obstacles of the road traveled by Bose IS in transforming itself from a corporate utility into an enterprise-wide source of process innovation and improvement. [ABSTRACT FROM AUTHOR]