Results 81 to 90 of about 15,351 (267)

Approximation by homogeneous polynomials

Journal of Approximation Theory, 2013
Uniform approximations by even degree homogeneous polynomials are considered. For a centrally symmetric convex set with nonempty interior, all even continuous functions on its boundary (in two space dimensions; the problem is open for higher dimensions) can be uniformly approximated by them. This is a new, more elementary proof of this fact.
openaire   +3 more sources

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source

Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this work, we investigate the properties of the topological algebra of entire functions of bounded type, generated by a countable set of homogeneous polynomials on a complex Banach space. Let $X$ be a complex Banach space. We consider a subalgebra $
S.I. Halushchak
doaj   +1 more source

Unveiling a Bulk WTaV Multicomponent Alloy With Superior Thermal Properties and Manufacturability

Advanced Science, EarlyView.
ABSTRACT Many tungsten (W)‐based medium and high entropy alloys (HEA) demonstrate superior microstructural stability and enhanced mechanical properties as compared to pure W, effectively rendering them as viable candidate materials for extreme environments such as nuclear fusion, aerospace applications, and so on.
Ishtiaque K. Robin, Skye N. Supakul, Shalini Tripathi, Eda Aydogan, Matthew T. Vigil, Caleb Hatler, Bochuan Sun, Akshay Korpe, Enrique Martinez, Saryu J. Fensin, Dan J. Thoma, Osman El‐Atwani   +11 more
wiley   +1 more source

Homogeneous Polynomials with a Multiplication Theorem [PDF]

Transactions of the American Mathematical Society, 1929
This was known to Diophantus.t Euler and Degen noticed that, similarly, a sum of n squares admits composition when n = 4 or 8, and Hurwitzt proved that such is true only when n= 1, 2, 4, 8. Two other well known examples are the multiplication theorem for determinants whose n2 elements are independent variables and the norms of algebraic numbers ...
openaire   +1 more source

Vacuum–Laser Fabrication of Programmable Soft Actuators

Advanced Science, EarlyView.
A rapid and accessible fabrication strategy for inflatable soft actuators is presented, combining vacuum sealing with laser cutting of low‐cost thermoplastic pouches. The method enables precise sealing, fast fabrication, and programmable multi‐cell geometries.
Ashkan Rezanejad, Mostafa Mousa, Yuxuan Wang, Michael Adlerstein, Junke Yao, Antonio E. Forte   +5 more
wiley   +1 more source

Boosting Fast‐Charging Performance of Ni‐Rich NCM9055 Cathodes with Nb2O5 Dual Functional Modification

Advanced Science, EarlyView.
A dual‐functional Nb2O5 modulation strategy is reported to overcome kinetic limitations in Ni‐rich cathodes. The formation of LiNbO3 phase at the grain boundary of the polycrystalline NCM9055 cathode preserves a radially aligned microstructure and establishes fast lithium‐ion pathways.
Tian Rao, Zhaowen Bai, Jian Wang, Yang Ren, Qingsong Weng, Zhongzhu Liu, Maxim Avdeev, Robson Monteiro, Luanna Parreira, Xuejie Huang, Guohua Chen, Yongming Zhu   +11 more
wiley   +1 more source

Rapid Room‐Temperature Synthesis of Te4+‐Doped Cs2ZrCl6 Vacancy‐Ordered Double Perovskites With Tunable Luminescence Triggered by Extreme Conditions for Advanced Optical Thermometry and Manometry

Advanced Science, EarlyView.
Through utilizing a proposed rapid room‐temperature precipitation method, the Te4+‐doped Cs2ZrCl6 vacancy‐ordered doubles with intense STE emission were synthesized. Via using the extreme conditions, i.e., temperature and pressure, stimulus, the luminescence properties of the resulting compounds are significantly modulated, endowing their promising ...
Zhiyu Pei, Yeshan Wu, Shuailing Ma, Tian Cui, Laihui Luo, Peng Du   +5 more
wiley   +1 more source

Volume of Sublevel Sets of Homogeneous Polynomials [PDF]

SIAM Journal on Applied Algebra and Geometry, 2019
Consider the sub level set K := {x : g(x) $\le$ 1} where g is a positive and homogeneous polynomial. We show that its Lebesgue volume can be approximated as closely as desired by solving a sequence of generalized eigenvalue problems with respect to a pair of Hankel matrices of increasing size, and whose entries are obtained in closed form.
openaire   +5 more sources

Scalable Laser Processing Enables Transparent, Accretion Scale‐Independent, Ice‐Shedding Glass

Advanced Science, EarlyView.
We demonstrate a scalable laser‐based method to create wave‐like micro‐patterns on glass surfaces that counter the conventional view that roughness increases ice adhesion. These patterns direct crack propagation at the ice–glass interface, enabling low‐force, multi‐directional ice detachment while maintaining substrate transparency. A theoretical model
Fan‐Wei Wang, Anish Pal, Arani Mukhopadhyay, Constantine M. Megaridis, Anish Tuteja   +4 more
wiley   +1 more source