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The paper describes the construction and testing of an electronic application for semi-automatic morphological analysis of Old English. It introduces the state of the art in the field of electronic analysis of Old English, provides a brief overview of Old English morphology and discusses the reasoning behind our theoretical framework. An account of the chosen methodology is offered and a specific description of its implementation is provided: from the acquisition and preparation of the lexical input data, through the programming of the forms generator to the testing of the results by analysing Old English text. The resulting recall of 95% is a success; however, the paper also hints at how it may be improved. It also discusses further use and development of the analyser, especially the disambiguation of its results. The paper makes a future semi-automatic morphological tagging of Old English texts a real possibility.

In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection between fractional derivatives and stable processes and prove a version of Mikhlin theorem under a condition given in terms of the infinitesimal generator of symmetric stable process. The classical Mikhlin theorem is shown to be a corollary of this new generalized version in this paper.

The paper describes the construction and testing of an electronic application for semi-automatic morphological analysis of Old English. It introduces the state of the art in the field of electronic analysis of Old English, provides a brief overview of Old English morphology and discusses the reasoning behind our theoretical framework. An account of the chosen methodology is offered and a specific description of its implementation is provided: from the acquisition and preparation of the lexical input data, through the programming of the forms generator to the testing of the results by analysing Old English text. The resulting recall of 95% is a success; however, the paper also hints at how it may be improved. It also discusses further use and development of the analyser, especially the disambiguation of its results. The paper makes a future semi-automatic morphological tagging of Old English texts a real possibility.

Hardware Security plays a major role in most of the applications which include net banking, e-commerce, military, satellite, wireless communications, electronic gadgets, digital image processing, etc. Stagnant power refers to a state where the power generation or utilization within a system remains static, failing to adapt or improve in response to evolving demands, technologies, or environmental challenges. This stagnation can occur due to outdated infrastructure, lack of innovation, or insufficient policy support, leading to inefficiencies, energy losses, and suboptimal performance. In sectors such as renewable energy, industrial operations, and electrical grids, stagnant power hampers progress, limiting the ability to meet growing energy demands and sustainability goals. This paper presents a Proposed Sequence-Order Chaotic Pseudo Random Number Generator (PRNG) using AAES, which offers significant improvements in both security and efficiency over traditional PRNGs and conventional AES implementations. The proposed design achieves 100% success in the NIST SP800-22 randomness test, surpassing the 98% success rate of traditional PRNGs. It demonstrates an entropy of 0.9995, an improvement of 0.35% over conventional PRNGs, and a correlation coefficient close to 0, resulting in a 100% reduction in correlation when compared to traditional PRNGs. The AAES-based PRNG also features a 256-bit key space, doubling the security strength of conventional PRNGs that use a 128-bit key space. In terms of efficiency, the proposed PRNG achieves a 22.8% reduction in power consumption, using only 12.5 mW compared to 16.2 mW for conventional AES PRNGs. The area utilization is also reduced by 14.3%, requiring 1.8 mm² compared to 2.1 mm² in conventional AES designs. The throughput of the AAES-based PRNG is 400 Mbps, a 5.3% improvement over the traditional 380 Mbps throughput. Latency is reduced by 21.4%, achieving 22 ns compared to 28 ns in conventional AES. Security-wise, the AAES-based PRNG exhibits a high resistance to cryptographic attacks, with 99.9% improvement in differential cryptanalysis success rate and a 99.8% reduction in linear cryptanalysis bias. The key recovery time is improved by 20 orders of magnitude, with the proposed PRNG requiring approximately 10^50 years to break, compared to 10^30 years for traditional PRNGs. These results demonstrate the proposed AAES-based PRNG’s superior security, efficiency, and suitability for cryptographic applications, particularly in resource-constrained environments like the Internet of Things (IoT).

This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The authors develop the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. Chen and Fukushima then address the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes. This volume is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.

In this paper, we consider symmetric jump processes of mixed-type on metric measure spaces under general volume doubling condition, and establish stability of two-sided heat kernel estimates and heat kernel upper bounds. We obtain their stable equivalent characterizations in terms of the jumping kernels, variants of cut-off Sobolev inequalities, and the Faber-Krahn inequalities. In particular, we establish stability of heat kernel estimates for

Cu-based sulphides are promising materials for environmentally friendly Te-free thermoelectric generators (TEGs). Cu 2 SnS 3 (CTS) stands out for its electronic properties, stemming from its conductive Cu–S networks, especially in fully disordered cubic structural form. While wet chemical techniques are the most utilized for CTS synthesis, they introduce organic contaminants that reduce electronic connectivity between grains, limiting their performance as in-plane thin-film TEGs. We present a new method to improve the electronic properties of CTS thin films for thermoelectric applications involving three-step dry route synthesis of ball milling, thermal evaporation, and sulfurization of Cu 2 –Sn metallic precursors. Via this method, charge carrier concentration increased significantly, as estimated by Hall effect analysis, which was attributed to the Cu-poor stoichiometry, also confirmed via energy-dispersive X-ray spectroscopy (EDXS). Microstructural analysis by scanning electron microscopy (SEM) revealed micrometre-sized grains composed of even smaller crystalline domains, which X-ray diffraction (XRD) showed to be ~ 50 nm in diameter. When compared with literature results, our procedure leads to a fourfold enhancement in the thermoelectric power factor ( P F = S 2 σ ), determined through the Seebeck coefficient measurements ( S ) and electronic conductivity ( σ ) estimated by the van der Pauw technique. The CTS TEG has a power volume density of 2.3 μW K −1  cm −3 , measured by a custom current–voltage–power (I–V–P) setup with varying load resistance. Results present a 100% increase in performance compared to ink-based techniques and were reproducible across three different batches. This strategy, improving the density of the CTS thin films, offers a new way to enhance Cu-based thin-film TEGs.

A bstract We consider the POWHEG generator for a H/W/Z boson plus one jet, augmented with the recently proposed MiNLO method for the choice of scales and the inclusion of Sudakov form factors. Within this framework, the generator covers all the transverse- momentum region of the H/W/Z boson, i.e. no generation cuts are needed to obtain a finite result. By construction, the generator achieves NLO accuracy for distributions involving a finite (and relatively large) transverse momentum of the boson. We examine the conditions under which also the totally inclusive distributions (e.g. the boson rapidity distribution) achieve NLO accuracy. We find that a minimal modification of the MiNLO prescription is sufficient to achieve such accuracy. We thus construct a NLO generator for H/W/Z boson plus one jet production such that it smoothly merges into a NLO single boson production in the small transverse-momentum region. We notice that, by simply reweighting the boson rapidity distribution to NNLO predictions, we achieve a NNLO accurate generator matched to a shower. The approach applies to all production processes involving a colorless massive system plus one jet. We discuss how it may be extended to general processes.

Porous materials possess advantages such as rich pore structures, a large surface area, low relative density, high specific strength, and good breathability. They have broad prospects in the development of a high-performance Triboelectric Nanogenerator (TENG) and self-powered sensing fields. This paper elaborates on the structural forms and construction methods of porous materials in existing TENG, including aerogels, foam sponges, electrospinning, 3D printing, and fabric structures. The research progress of porous materials in improving TENG performance is systematically summarized, with a focus on discussing design strategies of porous structures to enhance the TENG mechanical performance, frictional electrical performance, and environmental tolerance. The current applications of porous-material-based TENG in self-powered sensing such as pressure sensing, health monitoring, and human–machine interactions are introduced, and future development directions and challenges are discussed.

This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth and non-vanishing vorticity. These two variable coefficients, Kadomtsev–Petviashvili (VCKP) equations in (2+1)-dimensions, are the main extensions of the KP equation. Applying the Lie symmetry technique, we carry out infinitesimal generators, potential vector fields, and various similarity reductions of the considered VCKP equations. These VCKP equations are converted into nonlinear ODEs via two similarity reductions. The closed-form analytic solutions are achieved, including in the shape of distinct complex wave structures of solitons, dark and bright soliton shapes, double W-shaped soliton shapes, multi-peakon shapes, curved-shaped multi-wave solitons, and novel solitary wave solitons. All the obtained solutions are verified and validated by using back substitution to the original equation through Wolfram Mathematica. We analyze the dynamical behaviors of these obtained solutions with some three-dimensional graphics via numerical simulation. The obtained variable coefficient solutions are more relevant and useful for understanding the dynamical structures of nonlinear KP equations and shallow water wave models.