Multiplication of Polynomials using Discrete Fourier Transformation
Summary. In this article we define the Discrete Fourier Transformation for univariate polynomials and show that multiplication of polynomials can be carried out by two Fourier Transformations with a vector multiplication inbetween.
Christoph Schwarzweller +1 more
core
Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen +7 more
wiley +1 more source
The Fourier U(2) Group and Separation of Discrete Variables
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4,R), whose maximal compact subgroup is the Fourier group U(2)_F; this includes isotropic and anisotropic Fourier transforms, screen rotations and ...
Kurt Bernardo Wolf, Luis Edgar Vicent
doaj +1 more source
Digital Watermarks Using Discrete Wavelet Transformation and Spectrum Spreading [PDF]
In recent tears, digital media makes rapid progress through the development of digital technology. Digital media normally assures fairly high quality, nevertheless can be easily reproduced in a perfect form.
Ryousuke Takai, Kenji Nagasaka
doaj
A scalable bottom‐up CVD methodology, based on liquid transition metal salt precursors, is presented for the controlled growth of two high‐quality MoSe2–WSe2 heterostructures (HSs): purely lateral (HS I) and hybrid lateral/vertical (HS II), by simply adjusting precursor concentration.
Md Tarik Hossain +16 more
wiley +1 more source
An improved architecture for the adaptive discrete cosine transform [PDF]
This paper presents a new approach to the efficient realisation of the discrete cosine transform for the specific case of interlaced image sequence coding.
Martin, F, Bull, DR
core +1 more source
Establishing Atomic Coherence in Twisted Oxide Membranes Containing Volatile Elements
Twisted oxide membranes containing volatile elements often suffer from amorphous interfacial dead layers that suppress coupling. An oxygen‐annealing strategy establishes atomically coherent and chemically bonded interfaces in twisted NaNbO3 membranes, enabling coherent oxide moiré architectures in volatile‐element‐containing systems.
Young‐Hoon Kim +6 more
wiley +1 more source
Estimation of parameters of forms of bending oscillations of a body by results of vibrating tests with application of the theory of optimum filtration and linear regression models [PDF]
Three different passenger car bodies’ vibration tests were carried out. During the tests simultaneously were register accelerations, body middle displacements and strength from vibrator to a body. On processing of testing signal was decrease its sampling
Konstyantyn LYAPSHIN, Igor VUCHETICH
doaj
Assembly freedom engineering breaks the vertical alignment constraint of donor–acceptor self‐assembled monolayers, tuning their assembly freedom to achieve quasi‐random molecular orientation. This strategy simultaneously boosts interfacial charge transport and mechanical robustness, enabling high‐efficiency and mechanically stable flexible perovskite ...
Biao Zhou +9 more
wiley +1 more source
Sustainable and Multifunctional Natural Macromolecular Polymers for Aqueous Zn Metal Batteries
We comprehensively review the structure‐function relationships and regulatory mechanism of natural macromolecular polymers in stabilizing zinc anodes at the microscopic and mesoscopic scales. The interactions among polymer structures, optimization strategies, and regulatory mechanisms are discussed systematically summarizing recent related research ...
Yunuo Shi +13 more
wiley +1 more source

