Abstract:
This paper addresses the problem of rate selection for the cooperative hybrid automatic repeat request with chase combination (HARQ-CC) system, where time correlated Nakagami-m fading channels are considered. To deal with this problem, the closed-form cumulative distribution function (CDF) for the combine SNRs through maximal ratio combining (MRC) is first derived as a generalized Fox's $\bar H$ function. By using this result, outage probability and delay-limited throughput (DLT) are derived in closed forms, which then enables the rate selection for maximum DLT. These analytical results are validated via Monte Carlo simulations. The impacts of time correlation and channel fading-order parameter $m$ upon outage probability, DLT and the optimal rate are investigated thoroughly. It is found that the system can achieve more diversity gain from less correlated channels, and the outage probability of cooperative HARQ-CC system decreases with the increase of $m$, and etc. Furthermore, the optimal rate increases with the number of retransmissions, while it decreases with the increase of the channel time correlation.

Abstract:
Let $F$ be a a non-Archimedean local field of characteristic 0 and $G$ be an inner form of the general linear group $G^*=\mathrm{GL}_n$ over $F$. We show that the rectifying character appearing in the essentially tame Jacquet-Langlands correspondence of Bushnell and Henniart for $G$ and $G^*$ can be factorized into a product of some special characters, called zeta-data in this paper, in the theory of endoscopy of Langlands and Shelstad. As a consequence, the essentially tame local Langlands correspondence for $G$ can be described using admissible embeddings of L-tori.

Abstract:
Let $\mathbf{G}$ be an unramified quasi-split unitary group over a p-adic field of odd residual characteristic. The goal of this paper is to describe the supercuspidal representations within certain L-packets of $\mathbf{G}$, which are classified by Arthur and Mok using the theory of endoscopy. The description is given in terms of the cuspidal types constructed by Bushnell-Kutzko and Stevens. As a starting example, we require the parameters of our packets to satisfy certain regularity conditions, such that these packets consist of very cuspidal representations in the sense of Adler and Reeder. To achieve our goal, we first interpret the question as to study the reducibilities of some parabolically induced representations, using a theory of M{\oe}glin and Shahidi; we then apply a relation, given by Blondel, between these reducibilities and the structures of some Hecke algebras, where the latter can be computed using a Theorem of Lusztig. We can interpret our final result as explicitly describing the local Langlands correspondence for $\mathbf{G}$.

Abstract:
Let $F$ be a non-Archimedean local field and $G$ be the general linear group $\mathrm{GL}_n$ over $F$. Bushnell and Henniart described the essentially tame local Langlands correspondence of $G(F)$ using rectifiers, which are certain characters defined on tamely ramified elliptic maximal tori of $G(F)$. They obtained such result by studying the automorphic induction character identity. We relate this identity to the spectral transfer character identity, based on the theory of twisted endoscopy of Kottwitz, Langlands, and Shelstad. In this article, we establish the following two main results. (i) To show that the automorphic induction character identity is equal to the spectral transfer character identity, when both are normalized by the same Whittaker data. (ii) To express the essentially tame local Langlands correspondence using admissible embeddings constructed by Langlands-Shelstad $\chi$-data, and to relate Bushnell-Henniart's rectifiers to certain transfer factors.

Abstract:
Let $F$ be a non-Archimedean local field and $G$ be the general linear group $\mathrm{GL}_n$ over $F$. Based on the previous results of the author, we can describe the Langlands parameter of an essentially tame supercuspidal representation of $G(F)$ by those admissible embeddings of L-groups constructed by Langlands and Shelstad. We therefore provide a different interpretation on Bushnell and Henniart's essentially tame local Langlands correspondence.

Abstract:
Let $F$ be a non-Archimedean local field with finite residue field. Let $\mathcal{A}^{et}_n(F)$ be the collection of isomorphism classes of essentially tame irreducible supercuspidal representations of $\mathrm{GL}_n(F)$ studied by Bushnell-Henniart. It is known that we can parameterize $\mathcal{A}^{et}_n(F)$ by the collection $P_n(F)$ of equivalence classes of admissible pairs $(E, \xi)$ consisting of a tamely ramified extension $E/F$ of degree $n$ and an $F$-admissible character $\xi$ of $E^\times$. We are interested in a finite symplectic module $V = V(\xi)$ arising from the construction of the supercuspidal representation from the character $\xi$. This module $V$ is known to admit an orthogonal decomposition with respect to a symplectic form depending on $\xi$. We work with a fixed ambient module $U$ containing $V$ and show that $U$ decomposes in a way analogous to the root space decomposition of the Lie algebra $\mathfrak{gl}_n(F)$. We then obtain a complete orthogonal decomposition of the submodule $V$ by restriction. Such decomposition relates the finite symplectic module of a supercuspidal and certain admissible embedding of L-groups. This relation provides a different interpretation on the essentially tame local Langlands correspondence.

Abstract:
Let $F$ be a local field and $E/F$ be a separable extension of degree $n$. Regard $T=\text{Res}_{E/F} \mathbb{G}_m$ as an elliptic maximal torus of $G=\mathrm{GL}_n$. We can construct an admissible embedding of L-groups ${}^LT\hookrightarrow {}^LG$ using Langlands-Shelstad $\chi$-data. Such embedding gives rise to an induced representation of the Weil group $W_F$ of $F$ from a character of $W_E$. The relation between induced representations and admissible embeddings provides a different interpretation of the work of Bushnell-Henniart on the essentially tame local Langlands correspondence.

Abstract:
In the study, using ethanol extracts of Renshen (Panax ginseng C A Meyer), Xiyangshen (Panax quinquefolius L.) and Dangshen (Codonopsis pilosulae), we investigated the effect of these “Qi-invigorating” Chinese tonic herbs on mitochondrial ATP generation capacity (ATP-GC) in H9c2 cardiomyocytes in situ and rat hearts ex vivo. All three types of “Shens” stimulated mitochondrial ATP-GC, with Renshen being most potent. While a parallel enhancement in mitochondrial ATP-GC was observed in Renshen- and Xiyangshen-pretreated rats, Dangshen treatment did not produce detectable effect ex vivo. The discrepancy between in situ and ex vivo assays for Dangshen may be attributed by its limited oral-bioavailability to the heart. The tissue specific activity of Shens on mitochondrial ATP-GC may be explained by the “Meridian Theory” in traditional Chinese medicine.

Abstract:
This study compared the neuropsychological performance of a group of 29 workers occupationally exposed to low level of toluene(8 hours TWA=88.0 ppm)with a control group(N=29)not exposed to toluene(8 hours TWA=13.5ppm).The psychological tests consisted of Digit Span,Visual Reproduction of WMS,Benton Visual Retention Test,Trail-Making Test,Symbol-Digit Modality Test,Grooved Pegboard Test,and Finger Tapping Test.Results of the study showed that the performance of the exposed workers were poorer than the control subjects in verbal and nonverbal short term memory,attention and concentration,perceptual-motor function,and finger dexterity.These findings suggested that the brain functions of the exposed workers were significantly deteriorated. The findings also confirmed the usefulness of psychological tests in the detection of neurotoxic effects of occupational exposure to low level of toluene.

Abstract:
Early post-acute myocardial infarction (AMI) pericarditis, pericardial effusion with or without cardiac tamponade, and late post-MI pericarditis (Dressler syndrome), are the major pericardial complications after AMI. It is quite rare and estimated to be only about 0.1% in AMI patients according to a recent report, so it is easily neglected or misdiagnosed and may have tragic result to patient. Clinical features of this post-AMI complication include fever, chest pain, pericarditis and pleurisy occurring 2 to 3 weeks after AMI. Dressler syndrome is rarely associated with left ventricular aneurysm. Contrast enhanced magnetic resonance and echocardiography play important roles in diagnosis of left ventricle aneurysm. We report a 54-year-old male heavy labor worker who had asymptomatic, severe coronary artery disease, complicated with silent myocardial infarction, which resulted in large left ventricular aneurysm, and also systolic heart failure was noted. Patient was diagnosed to have Dressler syndrome after his second cardiology clinic follow-up. He received coronary angiography which revealed triple vessel disease with total occlusion of left anterior descending artery, and a giant left ventricular aneurysm was found. He received surgical intervention with Batista method and followed-up uneventfully at the cardiology clinic.