Genuine Modes Research Articles

Experimental, and theoretical investigations on the structure and vibrational spectral analysis of oxalate complex of nicotinamide and computational scrutiny against prostate cancer

This investigation involved oxalate salt of B vitamin experimental and theoretical spectra analysis. Docking studies and molecular dynamic simulation analysis were also carried out against the target protein involved in prostate cancer. At room temperature, the infra-red and Raman spectra results were chronicled in at range 4000–400 cm–1. In the crystalline environment along with the shifting of some spectral bands, the effect of hydrogen bonding force is detected. HF and DFT/B3LYP were employed to estimate the optimized geometry with the basis set of 6-311++G (d,p). Hypothetical wavenumbers presented a respectable agreement with the investigational values. The various genuine modes are observed and some of them are perceived in the experimentally observed spectra. Hyperconjugative interaction and intramolecular charge transfer (ICT) values were calculated with the help of the natural bond orbital (NBO) study. HOMO-LUMO plot technique was employed to examine the compound's hardness of chemical, chemical potential, and electro-negativity. The molecules' bioactivity and therapeutic efficacy were estimated through the lower band gap value of the frontier orbitals. In silico analysis was performed, to analyse the therapeutic efficacy of oxalate complex of Nicotinamide against Prostate cancer through Molecular docking and dynamics study. ADME/T analysis revealed the pharmaceutical efficacy of the oxalate complex of Nicotinamide by satisfying Lipinski’s Rule of Five, BBB, HOA, etc. Highlights of the work Comparative studies of theoretical and experimental vibrational spectra of the B vitamin Theoretical wavenumber numbers were showed good agreement with the experimental values Theoretical bond lengths and bond angles were slightly deviated from the experimental values Theoretical calculations shows that B vitamin exists in a Cocrystal Number of modes calculated from the factor group method is match with the theoretical method

Damped perturbations in stellar systems: genuine modes and Landau-damped waves

ABSTRACT This research was stimulated by the recent studies of damping solutions in dynamically stable spherical stellar systems. Using the simplest model of the homogeneous stellar medium, we discuss non-trivial features of stellar systems. Taking them into account will make it possible to correctly interpret the results obtained earlier and will help to set up decisive numerical experiments in the future. In particular, we compare the initial value problem versus the eigenvalue problem. It turns out that in the unstable regime, the Landau-damped waves can be represented as a superposition of van Kampen modes plus a discrete damped mode, usually ignored in the stability study. This mode is a solution complex conjugate to the unstable Jeans mode. In contrast, the Landau-damped waves are not genuine modes: in modes, eigenfunctions depend on time as exp (−iωt), while the waves do not have eigenfunctions on the real $v$-axis at all. However, ‘eigenfunctions’ on the complex $v$-contours do exist. Deviations from the Landau damping are common and can be due to singularities or cut-off of the initial perturbation above some fixed value in the velocity space.

Eudaimonia, Faith (Pistis), and Truth (Aletheia): Greek Roots and the Construction of Personal Meaning

Reflections regarding the construction of personal meaning are considered from the perspectives of phenomenology, psychoanalysis, and ancient Greek thought. The notion of eudaimonia is elucidated as a function of faith (pistis) and truth (aletheia) as these concepts emerge in history, and in the phenomenology of Martin Heidegger and the psychoanalysis of Wilfred Bion. This view challenges current positive psychology interpretations of eudaimonia as happiness or well-being. Ways of knowing and being in the unknown (i.e., negative capability) are accented as important aspects of personal meaning and as genuine modes of relatedness and wellness, as opposed to rigidity and sensibilities of certitude.

Discrepancy study of modal parameters of a scale jacket-type supporting structure of 3.0-MW offshore wind turbine in water and in air

The discrepancy of modal parameters of a scale offshore wind turbine is studied by using the proposed assessment method. One theoretical development is that weak genuine modes can be separated from strong noisy modes; and the other is the size of the reconstructed Hankel matrix will not be changed to ensure the comparability of modal parameters from different scenarios. A numerical signal is synthesized to demonstrate the proposed method. Numerical results indicate that the approach can isolate the two genuine modal parameters respectively, by applying estimated pass band with a 2 by 2 Hankel matrix of the Eigensystem Realization Algorithm, which means it can be used as a criterion to assess modal parameters from different scenarios. An experiment with model scale 15 from a 3.0-MW offshore wind turbine is tested. Experimental results indicate that natural frequencies are considerably reduced and damping ratios are increased, with the rate of frequency change varies from 15.33% to 17.97%. The modal parameters obtained in water with waves are close to those obtained in still water even if the structure is excited by a hammer or waves. The modal parameters estimated from the reconstructed responses of different accelerometers are in excellent agreement.

Label Switching in Bayesian Mixture Models: Deterministic Relabeling Strategies

Label switching is a well-known problem in the Bayesian analysis of mixture models. On the one hand, it complicates inference, and on the other hand, it has been perceived as a prerequisite to justify Markov chain Monte Carlo (MCMC) convergence. As a result, nonstandard MCMC algorithms that traverse the symmetric copies of the posterior distribution, and possibly genuine modes, have been proposed. To perform component-specific inference, methods to undo the label switching and to recover the interpretation of the components need to be applied. If latent allocations for the design of the MCMC strategy are included, and the sampler has converged, then labels assigned to each component may change from iteration to iteration. However, observations being allocated together must remain similar, and we use this fundamental fact to derive an easy and efficient solution to the label switching problem. We compare our strategy with other relabeling algorithms on univariate and multivariate data examples and demonstrate improvements over alternative strategies. Supplementary materials for this article are available online.

Thugs, Nice Guys, and Players: Black College Women's Partner Preferences and Relationship Expectations

This paper explores how physical, behavioral, and sexual constructions of black masculinity may affect heterosexual black women's intraracial partner preferences. A qualitative analysis of data retrieved from thirty black college women at a large research university suggests that attraction and partner selection for these women are likely impacted by idealized images or prototypes of black masculinity. Specifically, respondents identified four categories of black men (the "thug," the "nice guy," the "player," and the "endangered black man" or EBM) that seemed to inform their future partner choices. Moreover, these data suggest that reliance on these stereotypical ideals may result in an ongoing process of bodily negotiation that subsequently hinders more genuine modes of interaction between black men and women.

On spurious instabilities on the β-planes with no mean flows

Abstract. Recent numerical calculations that suggest the existence of instabilities of the shallow water equations on the β-planes (both mid-latitudes and on the equator) are shown to be associated with spurious instabilities rather than genuine unstable modes. The spurious unstable modes arise in an analysis of the necessary condition for the existence of complex roots to the cubic dispersion relation but it is shown here that these complex roots are not associated with solutions (eigenvalues and eigenfunctions) of the corresponding eigenvalue equation.

Resonant acoustic frequencies of a tandem cascade. Part 1. Zero relative motion

In this paper we study the acoustic scattering between two flat-plate cascades, with the aim of investigating the possible existence of trapped modes. In practical terms this question is related to the phenomenon of acoustic resonance in turbomachinery, whereby such resonant modes are excited to large amplitude by unsteady processes such as vortex shedding. We use the Wiener–Hopf technique to analyse the scattering of the various wave fields by the cascade blades, and by considering the fields between adjacent blades, as well as between the cascades, we are able to take full account of the genuinely finite blade chords. Analytic expressions for the various scattering matrices are derived, and an infinite-dimensional matrix equation is formed, which is then investigated numerically for singularity. One advantage of this formulation is that it allows the constituent parts of the system to be analysed individually, so that for instance the behaviour of the gap between the blade rows alone can be investigated by omitting the finite-chord terms in the equations. We demonstrate that the system exhibits two types of resonance, at a wide range of parameter values. First, there is a cut-on/cut-off resonance associated with the gap between the rows, and corresponding to modes propagating parallel to the front face of the cascades. Second, there is a resonance of the downstream row, akin to a Parker mode, driven at low frequencies by a vorticity wave produced by trapped duct modes in the upstream row, and at higher frequencies by radiation modes (and the vorticity wave) between the blade rows. The predictions for this second set of resonances are shown to be in excellent agreement with previous experimental data. The resonant frequencies are also seen to be real for this twin cascade system, indicating that the resonances correspond to genuine trapped modes. The analysis in this paper is completed with non-zero axial flow but with zero relative rotation between the cascades – in Part 2 (Woodley & Peake 1999) we will show how non-zero rotation of the upstream row can be included.