On the number of tetrahedra with minimum, unit, and distinct volumes in three-space

We formulate and give partial answers to several combinatorial problems on volumes of simplices determined by $n$ points in 3-space, and in general in $d$ dimensions. (i) The number of tetrahedra of minimum (nonzero) volume spanned by $n$ points in \RR^3 is at most ${2/3}n^3-O(n^2)$, and there are point sets for which this number is ${3/16}n^3-O(n^2)$. We also present an $O(n^3)$ time algorithm for reporting all tetrahedra of minimum nonzero volume, and thereby extend an algorithm of Edelsbrunner, O'Rourke, and Seidel. In general, for every k,d\in \NN, $1\leq k \leq d$, the maximum number of $k$-dimensional simplices of minimum (nonzero) volume spanned by $n$ points in \RR^d is $\Theta(n^k)$. (ii) The number of unit-volume tetrahedra determined by $n$ points in \RR^3 is $O(n^{7/2})$, and there are point sets for which this number is $\Omega(n^3 \log \log{n})$. (iii) For every d\in \NN, the minimum number of distinct volumes of all full-dimensional simplices determined by $n$ points in \RR^d, not all on a hyperplane, is $\Theta(n)$.Comment: 19 pages, 3 figures, a preliminary version has appeard in proceedings of the ACM-SIAM Symposium on Discrete Algorithms, 200

WILLINGNESS OF FOOD INDUSTRY COMPANIES IN CO-FINANCING COLLECTIVE AGRICULTURAL MARKETING (CAM) ACTIONS

Marketing,

Investigation and simulation of the Planetary Combination Hybrid Electric Vehicle

The purpose of this study was the detailed examination of a Planetary Combination Hybrid Electric Vehicle design (PC-Hybrid). The PC-Hybrid unites all the advantages of the existing hybrid electric vehicle powertrain concepts, such as series, parallel and combination, while eliminating the disadvantages of each.;The PC-Hybrid powertrain is built up of an internal combustion engine, and two electric motor/alternators connected together via a planetary gear set. Several different powertrain configuration layouts were investigated as possible setups of the PC-Hybrid and the two most promising ones were chosen for further investigation and simulation. A control strategy has been developed for the optimal operation PC-Hybrid configurations. A computer program was written to simulate the fuel economy of the PC-Hybrid.;A Hybrid Vehicle Simulator, HVSim (developed at WVU), was used as the basis of the computer simulation and was used to compare the fuel consumption of the PC-Hybrid design to a baseline conventional vehicle setup as well as to the currently existing hybrid electric vehicle configurations. The program uses a backward-looking simulation model that calculates the speed and torque required of the engine, the motor and the alternator for a given driving cycle. Once the engine, motor and alternator speed and torque are calculated, HVSim uses efficiency maps of the engine and motor to define their efficiency. Using the instantaneous efficiency HVSim defines the power loss in each component and calculates the fuel consumption of the simulated vehicle.;The simulation results show that the fuel economy of the PC-Hybrid is better than that of a comparable Series HEV on the FTP City cycle and better than that of a comparable Parallel HEV on the Highway FET cycle while maintaining similar performance to the stock conventional vehicle. In addition the exhaust gas emissions may be reduced, compared to conventional vehicle or a parallel HEV, due to the reduced requirement for transient engine operation

Bayesian Learning from Sequential Data using Gaussian Processes with Signature Covariances

We develop a Bayesian approach to learning from sequential data by using Gaussian processes (GPs) with so-called signature kernels as covariance functions. This allows to make sequences of different length comparable and to rely on strong theoretical results from stochastic analysis. Signatures capture sequential structure with tensors that can scale unfavourably in sequence length and state space dimension. To deal with this, we introduce a sparse variational approach with inducing tensors. We then combine the resulting GP with LSTMs and GRUs to build larger models that leverage the strengths of each of these approaches and benchmark the resulting GPs on multivariate time series (TS) classification datasets. Code available at https://github.com/tgcsaba/GPSig.Comment: Near camera ready version for ICML 2020. Previous title: "Variational Gaussian Processes with Signature Covariances

Random Fourier signature features

Tensor algebras give rise to one of the most powerful measures of similarity for sequences of arbitrary length called the signature kernel accompanied with attractive theoretical guarantees from stochastic analysis. Previous algorithms to compute the signature kernel scale quadratically in terms of the length and the number of the sequences. To mitigate this severe computational bottleneck, we develop a random Fourier feature-based acceleration of the signature kernel acting on the inherently non-Euclidean domain of sequences. We show uniform approximation guarantees for the proposed unbiased estimator of the signature kernel, while keeping its computation linear in the sequence length and number. In addition, combined with recent advances on tensor projections, we derive two even more scalable time series features with favourable concentration properties and computational complexity both in time and memory. Our empirical results show that the reduction in computational cost comes at a negligible price in terms of accuracy on moderate-sized datasets, and it enables one to scale to large datasets up to a million time series

Candida parapsilosis secreted lipase as an important virulence factor

The prevalence of Candida parapsilosis, an opportunistic human pathogenic fungal species, is increasing at an alarming rate in the hospital environment. Patients at risk for C. parapsilosis infection include those with immunosuppression, such as individuals with cancer, AIDS, and low birth weight premature neonates as well as patients that had undergone abdominal surgery. Neonatal candidiasis caused by C. parapsilosis has been widely reported across the globe. Various reports have shown that, compared to other Candida species, certain C. parapsilosis clinical isolates were less susceptible to antifungals such as amphotericin B, fluconazole, and caspofungin. In addition, some studies have even reported multi-echinocandin or multi-azole resistant strains of C. parapsilosis. C. parapsilosis has several virulence factors that contribute to its capacity for host invasion and among these factors extracellular lipases have a major role in pathogenesis. In this review we have collected all the recent relevant studies that confirm the involvement of secreted lipases in C. parapsilosis pathogenesis, using both in vitro and in vivo models of infection. Of particular note, an available lipase deficient C. parapsilosis strain has been utilized to demonstrate that the lack of secreted lipases decreased virulence, reduced tissue damage, and was less able to survive within phagocytes or mice compared to the wild type. Since fungal secreted lipases have different characteristics than lipolytic enzymes present in humans, C. parapsilosis extracellular lipases may be potential targets for the development of novel antifungal drugs

The common truncation variant in pancreatic lipase related protein 2 (PNLIPRP2) is expressed poorly and does not alter risk for chronic pancreatitis

A nonsense variant (p.W358X) of human pancreatic lipase related protein 2 (PNLIPRP2) is present in different ethnic populations with a high allele frequency. In cell culture experiments, the truncated protein mainly accumulates inside the cells and causes endoplasmic reticulum stress. Here, we tested the hypothesis that variant p.W358X might increase risk for chronic pancreatitis through acinar cell stress. We sequenced exon 11 of PNLIPRP2 in a cohort of 256 subjects with chronic pancreatitis (152 alcoholic and 104 non-alcoholic) and 200 controls of Hungarian origin. We observed no significant difference in the distribution of the truncation variant between patients and controls. We analyzed mRNA expression in human pancreatic cDNA samples and found the variant allele markedly reduced. We conclude that the p.W358X truncation variant of PNLIPRP2 is expressed poorly and has no significant effect on the risk of chronic pancreatitis

The role of apoptosis repressor with a CARD domain (ARC) in the therapeutic resistance of renal cell carcinoma (RCC): the crucial role of ARC in the inhibition of extrinsic and intrinsic apoptotic signalling

Background: Renal cell carcinomas (RCCs) display broad resistance against conventional radio- and chemotherapies, which is due at least in part to impairments in both extrinsic and intrinsic apoptotic pathways. One important anti-apoptotic factor that is strongly overexpressed in RCCs and known to inhibit both apoptotic pathways is ARC (apoptosis repressor with a CARD domain). Methods: Expression and subcellular distribution of ARC in RCC tissue samples and RCC cell lines were determined by immunohistochemistry and fluorescent immunohistochemistry, respectively. Extrinsic and intrinsic apoptosis signalling were induced by TRAIL (TNF-related apoptosis-inducing ligand), ABT-263 or topotecan. ARC knock-down was performed in clearCa-12 cells using lentiviral transduction of pGIPZ. shRNAmir constructs. Extrinsic respectively intrinsic apoptosis were induced by TRAIL (TNF-related apoptosis-inducing ligand), ABT263 or topotecan. Potential synergistic effects were tested by pre-treatment with topotecan and subsequent treatment with ABT263. Activation of different caspases and mitochondrial depolarisation (JC-1 staining) were analysed by flow cytometry. Protein expression of Bcl-2 family members and ARC in RCC cell lines was measured by Western blotting. Statistical analysis was performed by Student’s t-test. Results: Regarding the extrinsic pathway, ARC knockdown strongly enhanced TRAIL-induced apoptosis by increasing the activation level of caspase-8. Regarding the intrinsic pathway, ARC, which was only weakly expressed in the nuclei of RCCs in vivo, exerted its anti-apoptotic effect by impairing mitochondrial activation rather than inhibiting p53. Topotecan- and ABT-263-induced apoptosis was strongly enhanced following ARC knockdown in RCC cell lines. In addition, topotecan pre-treatment enhanced ABT-263-induced apoptosis and this effect was amplified in ARC-knockdown cells. Conclusion: Taken together, our results are the first to demonstrate the importance of ARC protein in the inhibition of both the extrinsic and intrinsic pathways of apoptosis in RCCs. In this context, ARC cooperates with anti-apoptotic Bcl-2 family members to exert its strong anti-apoptotic effects and is therefore an important factor not only in the therapeutic resistance but also in future therapy strategies (i.e., Bcl-2 inhibitors) in RCC. In sum, targeting of ARC may enhance the therapeutic response in combination therapy protocols

Improving the Efficiency of Pyrolysis and Increasing the Quality of Gas Production through Optimization of Prototype Systems

Publisher's version (útgefin grein).Pyrolysis is a thermochemical process that consists of the degradation of organic polymers and biomass minerals in lignocellulose materials. At low pyrolysis temperature (300-400 degrees C), primarily carbon is produced during the reaction time. Rapid pyrolysis takes place at temperatures between 500 and 650 degrees C. If the temperature is higher than 700 degrees C, the final product is methane, also known as biogas. The pyrolysis generator can be combined with a small power plant (CHP), which is a promising technology because the unit can be installed directly near the biomass production, and electricity can be fed de-centrally to the public utility network, while there are several possibilities for using waste heat in local systems. Carbonaceous ash can be utilized well in the agricultural field, because, in areas with intensive farming, the soil suffers from carbon and mineral deficiencies, and the phenomenon of material defect can be reduced by a proper level of implementation. This study describes the technical content of the biochar pilot project, and then, through a detailed presentation of the experimental results, we interpret the new scientific results. Our aim is to improve the quality of the produced gas by increasing the efficiency of the pyrolysis generator. In order for the pyrolysis unit to operate continuously, with proper efficiency and good gas quality, it is necessary to optimize the operation process. Our review reveals that the use of vibration may be advantageous during pyrolysis, which affects the mass of the pyrolysis carbon in a plane. Accordingly, the application of vibration to the input section of the funnel might enhance the quality of the gas, as well. The study concludes that more accurate dimensioning of the main parts of the gas reactor and a more convenient design of the oxidation and reduction zones enhance the good-quality gas output.The Hungarian Ministry of National Economy, grant number GINOP 2.1.7-152016-01604. The Climate Change Research Centre and Doctoral School of Management and Business Administration at Szent Istvan University supported the preparation of the manuscript."Peer Reviewed