On the quasi-sure superhedging duality with frictions

We prove the superhedging duality for a discrete-time financial market with proportional transaction costs under model uncertainty. Frictions are modelled through solvency cones as in the original model of Kabanov (Finance Stoch. 3:237\u2013248, 1999) adapted to the quasi-sure setup of Bouchard and Nutz (Ann. Appl. Probab. 25:823\u2013859, 2015). Our approach allows removing the restrictive assumption of no arbitrage of the second kind considered in Bouchard et al. (Math. Finance 29:837\u2013860, 2019) and showing the duality under the more natural condition of strict no arbitrage. In addition, we extend the results to models with portfolio constraints

Energy Performance and Comfort Level in High Rise and Highly Glazed Office Buildings

Thermal and visual comfort in buildings play a significant role on occupants' performance but on the other hand achieving energy savings and high comfort levels can be a quite difficult task especially in high rise buildings with highly glazed facades. Many studies suggest that the energy needed to keep the interior conditions at required comfort levels in buildings depends on several factors such as physical and optical properties of building elements, indoor and outdoor climate and behaviour of the occupants, etc. Moreover depending on the different orientation of building facade, the impact of these parameters might vary. The buildings are usually designed without paying much attention to this fact. The needs of each building zone might differ greatly and in order to achieve better indoor environment, different actions might be needed to taken considering the individual characteristics of each zone. In the proposed research the possibilities of evaluating building energy and comfort performance simultaneously taking into account the impact of facade orientation with use of whole building energy simulation tools are investigated through a case study

Active multilayer mirrors for reflectance tuning at extreme ultraviolet (EUV) wavelengths

We propose an active multilayer mirror structure for EUV wavelengths which can be adjusted to compensate for reflectance changes. The multilayer structure tunes the reflectance via an integrated piezoelectric layer that can change its dimension due to an externally applied voltage. Here, we present design and optimization of the mirror structure for maximum reflectance tuning. In addition, we present preliminary results showing that the deposition of piezoelectric thin films with the requisite layer smoothness and crystal structure are possible. Finally, polarization switching of the smoothest piezoelectric film is presented

Extraction of Saponins from Soapnut (Sapindus Mukorossi) and Their Antimicrobial Properties

In this study optimization of extraction conditions for saponin from Sapindus mukorossi was investigated. Results showed that polarity of the extraction solvent affects the yield percentage of the extraction process. Best yield percentage was obtained as 78.1 % at 1:10 solid-liquid ratio in aqueous ethanol solution (50% v/v). The antimicrobial properties of extracts containing saponins were investigated for different microorganisms. Minimum inhibition concentrations of extract were obtained against Escherichia coli, Staphylococcus aureus and Candida albicans. Minimum inhibition concentrations (MIC) of saponin extract ranged between 12.5 mg/mL to 25 mg/mL.nbs

Pluripotential Theory and Convex Bodies: A Siciak-Zaharjuta theorem

We work in the setting of weighted pluripotential theory arising from polynomials associated to a convex body $P$ in $({\bf R}^+)^d$. We define the {\it logarithmic indicator function} on ${\bf C}^d$: $$H_P(z):=\sup_{ J\in P} \log |z^{ J}|:=\sup_{ J\in P} \log[|z_1|^{ j_1}\cdots |z_d|^{ j_d}]$$ and an associated class of plurisubharmonic (psh) functions: $$L_P:=\{u\in PSH({\bf C}^d): u(z)- H_P(z) =0(1), \ |z| \to \infty \}.$$ We first show that $L_P$ is not closed under standard smoothing operations. However, utilizing a continuous regularization due to Ferrier which preserves $L_P$, we prove a general Siciak-Zaharjuta type-result in our $P-$setting: the weighted $P-$extremal function $$V_{P,K,Q}(z):=\sup \{u(z):u\in L_P, \ u\leq Q \ \hbox{on} \ K\}$$ associated to a compact set $K$ and an admissible weight $Q$ on $K$ can be obtained using the subclass of $L_P$ arising from functions of the form $\frac{1}{deg_P(p)}\log |p|$ (appropriately normalized)

An improved optimization technique for estimation of solar photovoltaic parameters

The nonlinear current vs voltage (I-V) characteristics of solar PV make its modelling difficult. Optimization techniques are the best tool for identifying the parameters of nonlinear models. Even though, there are different optimization techniques used for parameter estimation of solar PV, still the best optimized results are not achieved to date. In this paper, Wind Driven Optimization (WDO) technique is proposed as the new method for identifying the parameters of solar PV. The accuracy and convergence time of the proposed method is compared with results of Pattern Search (PS), Genetic Algorithm (GA), and Simulated Annealing (SA) for single diode and double diode models of solar PV. Furthermore, for performance validation, the parameters obtained through WDO are compared with hybrid Bee Pollinator Flower Pollination Algorithm (BPFPA), Flower Pollination Algorithm (FPA), Generalized Oppositional Teaching Learning Based Optimization (GOTLBO), Artificial Bee Swarm Optimization (ABSO), and Harmony Search (HS). The obtained results clearly reveal that WDO algorithm can provide accurate optimized values with less number of iterations at different environmental conditions. Therefore, the WDO can be recommended as the best optimization algorithm for parameter estimation of solar PV

Estimation of jumping distance using run-up velocity for male long jumpers

Background and Study Aim: The purpose of this study is to investigate the relationship between run-up velocity and jumping distance, and create a jumping distance estimation model that trainers may use practically for athletes at broad performance level. In a long jump, about ninety percent of the jumping distance is the athlete’s flying distance, and horizontal velocity, which has the highest effect on flying distance among biomechanical factors, is highly important in long jumps. Therefore, especially the velocity of the athlete in the last ten meters of run-up is considered to be the most important determinant of performance. Material and Methods: The research data was composed of 328 valid trials on 73 Turkish male long jumpers who were 18.7 (±2.8) years old. As a result of the correlation statistics obtained in this study, a linear regression model was formed between last-ten-meter running velocity and jumping distance, which was observed to have the highest correlation. Results: It was observed that the velocity for run-up in the last ten meters explained 76% of jumping distance. Based on the estimating equation, it may be stated that 0.1 m/s of increase in run-up velocity for male long jumpers will increase their jumping distance by 10.7 cm. Conclusions: It was observed that especially the velocity in the last 10 meters of run-up was one of the most significant predictors of performance, and the estimation model established using the value of run-up velocity, which had the strongest relationship, was able to make high-accuracy estimations for both low and high values. Keywords: long jump, velocity, estimation model