in this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. first, we give a generalization of guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. the firs...

In the $\varepsilon$-Consensus-Halving problem, a fundamental problem in fair division, there are $n$ agents with valuations over interval $[0,1]$, and goal is to divide into pieces assign label "$+$" or "$-$" each piece, such that every agent values total amount of almost equally. The was recently proven by Filos-Ratsikas Goldberg [2019] be first "natural" complete for computational class PPA,...

The aim of this paper is to provide a comprehensive review mode-division and spatial-division optical fiber sensors, mainly encompassing interferometers advanced gratings. Compared with their single-mode counterparts, which have very mature field many highly successful commercial applications, multimodal configurations developed more recently advances in device fabrication novel mode control de...

The physical activity among elderly has been associated with reduction of risk from all-cause mortality and improve physical, mental, social well-being. objectives were to determine the status in Samarahan Division, Sarawak its association socio- demographic characteristics nutritional status. A cross-sectional study was carried out on 199 elderly, aged between 60 90 years, rural area Division ...

Orthogonal frequency division multiplexing has drawn explosive attention as a new type of high data rate transmission scheme for wireless communication system. The main advantage of OFDM system are spectral bandwidth efficiency and robustness against frequency selective fading or narrowband interference etc. However a critical drawback of OFDM is high peak-to-average-power ratio (PAPR), which r...

In this paper, we propose a new peak-to-average power ratio (PAPR) reduction scheme of orthogonal frequency division multiplexing (OFDM) system, called a modified selected mapping (SLM) scheme, which considerably reduces the computational complexity with keeping the similar PAPR reduction performance compared with the conventional SLM scheme. The proposed scheme is analytically and numerically ...

Bacterial cell division is a highly coordinated process that begins with the polymerization of the tubulin-like protein FtsZ at midcell. FtsZ polymerization is regulated by a set of conserved cell division proteins, including ZapA. However, a zapA mutation does not result in a clear phenotype in Bacillus subtilis. In this study, we used a synthetic-lethal screen to find genes that become essent...

In this article we present the use of the logarithmic number system (LNS) to implement fixed-point multiplication and division. LNS has recently attracted the interest of researchers for its low-power properties. The reduction of power dissipation in LNS arises from the simplification of basic arithmetic operations. In this paper we give a survey of the recently proposed digital circuits for lo...

The peak-to-average power of an orthogonal frequency division multiplexed (OFDM) signal can be reduced without increasing the out-of-band power by clipping the amplitude of the oversampled baseband time domain signal and filtering using a frequency domain filter based on discrete Fourier transforms. Clipping the amplitude however requires a division operation and this is undesirable in digital ...