On the asymptotics of Bessel functions in the Fresnel regime

We introduce a version of the asymptotic expansions for Bessel functions $J_\nu(z)$, $Y_\nu(z)$ that is valid whenever $|z| > \nu$ (which is deep in the Fresnel regime), as opposed to the standard expansions that are applicable only in the Fraunhofer regime (i.e. when $|z| > \nu^2$). As expected, in the Fraunhofer regime our asymptotics reduce to the classical ones. The approach is based on the observation that Bessel's equation admits a non-oscillatory phase function, and uses classical formulas to obtain an asymptotic expansion for this function; this in turn leads to both an analytical tool and a numerical scheme for the efficient evaluation of $J_\nu(z)$, $Y_\nu(z)$, as well as various related quantities. The effectiveness of the technique is demonstrated via several numerical examples. We also observe that the procedure admits far-reaching generalizations to wide classes of second order differential equations, to be reported at a later date

Music Interventions for Chinese Patient with Parkinson\u27s Disease: Alleviating Symptoms through Arts-based Interventions

Care for the elderly is increasingly important, especially in long-term care centers. How to maintain the quality of life of the elderly is a very important issue for a therapist. There are many therapists dedicated to developing unique expressive arts therapy treatments for residents in long-term care centers. For these customized treatments, therapists need to consider a number of factors, including the problems for referral, medications, and diagnosis. In addition, the patient\u27s cultural background is one of the factors that must be considered in designing a treatment plan. This inquiry explores how music therapy interventions can help a patient from Eastern culture with Parkinson\u27s disease in long term care system. This treatment plan will focus on alleviating Parkinson’s disease symptoms through arts-based interventions, helping the patient adapt to the new living environment, reducing their depression and self-isolation. Because the patient is from Eastern culture, the design of this intervention will be based on Peking drama and traditional Chinese arts. The design uses the familiar art form of the patient to help the patient adapt to the new living environment. In addition, the therapist spoke Chinese in the sessions. The results showed that the patient gradually adapted to this new long-term care facility

Quench Dynamics of Topological Maximally-Entangled States

We investigate the quench dynamics of the one-particle entanglement spectra (OPES) for systems with topologically nontrivial phases. By using dimerized chains as an example, it is demonstrated that the evolution of OPES for the quenched bi-partite systems is governed by an effective Hamiltonian which is characterized by a pseudo spin in a time-dependent pseudo magnetic field $\vec{S}(k,t)$. The existence and evolution of the topological maximally-entangled edge states are determined by the winding number of $\vec{S}(k,t)$ in the $k$-space. In particular, the maximally-entangled edge states survive only if nontrivial Berry phases are induced by the winding of $\vec{S}(k,t)$. In the infinite time limit the equilibrium OPES can be determined by an effective time-independent pseudo magnetic field \vec{S}_{\mb{eff}}(k). Furthermore, when maximally-entangled edge states are unstable, they are destroyed by quasiparticles within a characteristic timescale in proportional to the system size.Comment: 5 pages, 3 figure

Edge State, Entanglement Entropy Spectra and Critical Hopping Coupling of Anisotropic Honeycomb Lattice

For a bipartite honeycomb lattice, we show that the Berry phase depends not only on the shape of the system but also on the hopping couplings. Using the entanglement entropy spectra obtained by diagonalizing the block Green's function matrices, the maximal entangled state with the eigenvalue $\lambda_m=1/2$ of the reduced density matrix is shown to have one-to-one correspondence to the zero energy states of the lattice with open boundaries, which depends on the Berry phase. For the systems with finite bearded edges along $x$-direction we find critical hopping couplings: the maximal entangled states (zero-energy states) appear pair by pair if one increases the hopping coupling $h$ over the critical couplings $h_c$s.Comment: 4 pages, 4 figure

Living Below the Line: Economic Insecurity and Older Americans, Insecurity in the States, 2022

New estimates from the 2022 Elder IndexTM suggest that nearly half of older adults living alone, and one out of five older couples, lack the financial resources required to pay for basic needs. We compared household incomes for adults age 65 and above living in one- and two-person households to the 2022 Elder Index for each state to calculate Economic Insecurity Rates (EIRs), the percentage of independent adults age 65 or older with annual incomes that do not support economic security. The EIRs allow a better understanding of how many and which older adults are experiencing economic insecurity. National averages suggest that 48% of older adults living alone and 21% of older couples have annual incomes below the Elder Index value. In every state, more than one-third of older singles are at risk of being unable to afford basic needs and age in their own homes

Advanced glycation end products (AGEs) in relation to atherosclerotic lipid profiles in middle-aged and elderly diabetic patients

<p>Abstract</p> <p>Objectives</p> <p>To evaluate the association between AGEs and atherosclerotic lipid profiles among aging diabetic patients in Taiwan.</p> <p>Design and Methods</p> <p>After age and gender matching, we selected 207 diabetic subjects and 174 diabetic subjects with proteinuria. Lipid profiles, including total cholesterol (TC), triglycerides (TG), high density cholesterol-lipoprotein (HDL-C) and low density lipoprotein-cholesterol (LDL-C) were measured using standard methods. AGEs were measured with the immunoassay method.</p> <p>Results</p> <p>In general, males were heavier; however, females had higher AGEs, fasting glucose (GLU), TC, HDL-C and LDL-C levels than males, and had higher TC/HDL-C, LDL-C/HDL-C, and TG/HDL-C ratios compared to males. AGEs were more strongly correlated with TG levels and TCL/LDL-C, LDL-C/HDL-C and TG/HDL-C ratios when compared to glucose or hemoglobin A1c. Subjects had higher AGEs levels (≧ 2.0 AU) with more adverse lipid profiles.</p> <p>Conclusion</p> <p>AGEs seem to be a good biomarker to evaluate the association between diabetes and atherosclerotic disorders in aging diabetes.</p

Conta satélite das instituições privadas sem fins lucrativos Brasil - 2002

Esse trabalho foi realizado no contexto de amplo projeto sobre as Instituições Privadas sem Fins Lucrativos – IPSL, coordenado pela Johns Hopkins University contando, no Brasil, com a parceria do UNV - United Nations Volunteers, e com o apoio do IBGE – Fundação Instituto Brasileiro de Geografia e Estatística, órgão encarregado no país pela divulgação do sistema de contas nacionais. Com esse resultado, apresenta-se a versão preliminar da Conta das Instituições Privadas sem Fins Lucrativos para o ano de 2002. Ressalvando as características nacionais, o trabalho procura manter sistemática conexão com o Handbook on Non-Profit Institucions in the System of National Accounts, metodologia desenvolvida pela Johns Hopkins University em conjunto com o Economic Statistics Branch do United National Statistics Division