Refined class number formulas and Kolyvagin systems

We use the theory of Kolyvagin systems to prove (most of) a refined class number formula conjectured by Darmon. We show that for every odd prime $p$, each side of Darmon's conjectured formula (indexed by positive integers $n$) is "almost" a $p$-adic Kolyvagin system as $n$ varies. Using the fact that the space of Kolyvagin systems is free of rank one over $\mathbf{Z}_p$, we show that Darmon's formula for arbitrary $n$ follows from the case $n=1$, which in turn follows from classical formulas

Thermodynamics of nuclei in thermal contact

The behaviour of a di-nuclear system in the regime of strong pairing correlations is studied with the methods of statistical mechanics. It is shown that the thermal averaging is strong enough to assure the application of thermodynamical methods to the energy exchange between the two nuclei in contact. In particular, thermal averaging justifies the definition of a nuclear temperature.Comment: 9 pages, 1 figur

On the Effect of Inband Signaling and Realistic Channel Knowledge on Dynamic OFDM-FDMA Systems

Dynamically assigning subcarriers of OFDM systems to multiple different terminals in a cell has been shown to be beneficial in terms of different transmission metrics. However, the success of such a scheme depends on the ability of the access point to inform terminals of their newest subcarrier assignments as well as on the accuracy of the channel state information used to generate new assignments. It is not clear whether the overhead required to implement these two system abilities consumes all of the potential performance increase possible by dynamically assigning subcarriers

Complexer-YOLO: Real-Time 3D Object Detection and Tracking on Semantic Point Clouds

Accurate detection of 3D objects is a fundamental problem in computer vision and has an enormous impact on autonomous cars, augmented/virtual reality and many applications in robotics. In this work we present a novel fusion of neural network based state-of-the-art 3D detector and visual semantic segmentation in the context of autonomous driving. Additionally, we introduce Scale-Rotation-Translation score (SRTs), a fast and highly parameterizable evaluation metric for comparison of object detections, which speeds up our inference time up to 20\% and halves training time. On top, we apply state-of-the-art online multi target feature tracking on the object measurements to further increase accuracy and robustness utilizing temporal information. Our experiments on KITTI show that we achieve same results as state-of-the-art in all related categories, while maintaining the performance and accuracy trade-off and still run in real-time. Furthermore, our model is the first one that fuses visual semantic with 3D object detection

Chinese and American Perceptions on Nonprofit Organizational Effectiveness

Dynamically assigning sub-carriers of orthogonal frequency division multiplexing (OFDM) systems to multiple different terminals in a cell has been shown to be beneficial in terms of different transmission metrics. The success of such a scheme, however depends on the ability of the access point to inform terminals of their newest sub-carrier assignments as well as on the accuracy of the channel state information used to generate new assignments. It is not clear whether the overhead required to implement these two functions consumes all of the potential performance increase possible by dynamically assigning subcarriers. In this paper, a specific MAC structure is selected enabling the operation of a dynamic OFDM system, incorporating a signalling scheme for dynamically assigned sub-carriers. Based on this structure, we study the overhead required for a dynamic sub-carrier scheme; a static variant that serves as a comparison case. We investigate the performance difference of these two schemes for various scenarios where at first signalling and then realistic channel knowledge is added to the system model. Average throughput and goodput per terminal serve as figures of merit; the number of terminals in the cell, the transmission power per sub-carrier, the delay spread and the movement speed of the terminals are varied. We find that a realistic overhead model decreases the performance of both static and dynamic schemes such that the overall ratio favours in all cases except for higher speeds the dynamic rather than the static scheme especially in realistic system environments.QC 20131129</p

De quibusdam Aeschyli Choephororum locis

https://repository.brynmawr.edu/digitizedbooks/1086/thumbnail.jp

De quibusdam Aeschyli Choephororum locis

https://repository.brynmawr.edu/digitizedbooks/1086/thumbnail.jp

Thymidine kinase mRNA and protein levels during myogenic with drawal from the cell cycle : identification of an mRNA-independent regulatory mechanism

Replication associated protein and enzyme activity levels increase as cells enter S-phase of the cell cycle and diminish as cells leave S-phase. Accordingly, replication associated functions decrease as myoblasts withdraw from the cell cycle to terminally differentiate. In an effort to understand signals effecting growth associated expression of genes, the molecular mechanism controlling declining thymidine kinase (TK) activity levels during myogenic withdrawal from the cell cycle was investigated. Initially, the hypothesis that TK was regulated at the level of mRNA was investigated both in vivo and in an in vitro myoblast cell culture system. Qualitatively, TK mRNA declined by a transcriptional mechanism. However, quantitative comparison of the decline in TK mRNA and TK activity revealed TK activity was regulated by a mRNA-independent mechanism. Consequently, the hypothesis that TK activity was regulated by a posttranslational mechanism was tested. Antibodies against TK protein were derived and used to demonstrate, via immunoblot and immunoprecipitation experiments, the existence of a translational or protein degradational mechanism. The possible contribution of posttranslational modulation of TK activity could not be rigorously eliminated. A second approach to understanding the mechanism of decline of TK activity during myogenic withdrawal from the cell cycle involved further localization of intragenic cis-acting regulatory elements. Regulation of TK activity was monitored in myoblasts transformed with intron deletion mutants of TK. Introns were inconsequential to regulation of TK activity. Thus, cis-acting regulatory elements mediating the decline in TK activity were within the protein coding region, consistent with the translational or protein degradational level of regulation. Quantitative evaluation of TK mRNA regulation in myoblasts transformed with promoter switch, 3' replacement, and intron deletion mutants also localized cis-acting elements mediating the transcriptional decline in TK mRNA to the protein coding region. However, the controversy surrounding the nature of the heterologous promoters used, the smallfold and variable decline in TK mRNA, the possibility of redundant control elements, and the unusual location of the transcriptional regulatory element cast doubt on this conclusion. Two general mechanisms for controlling TK mRNA levels were proposed. The available set of intron deletion mutants was used to test the popular hypothesis that introns are essential for expression of mRNA. Quantitative evaluation of TK mRNA expression in mouse fibroblasts transformed with full length TK genes or intron deletion mutants revealed no significant difference in expression. Thus introns were inconsequential to expression of TK mRNA in fibroblasts