Results 41 to 50 of about 275,582 (319)

Supertori are algebraic curves [PDF]

Communications in Mathematical Physics, 1988
Super Riemann surfaces of genus 1, with arbitrary spin structures, are shown to be the sets of zeroes of certain polynomial equations in projective superspace. We conjecture that the same is true for arbitrary genus. Properties of superelliptic functions and super theta functions are discussed.
Rabin, Jeffrey M., Freund, Peter G. O.
openaire   +2 more sources

EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE

Forum of Mathematics, Sigma, 2019
A classical construction of Katz gives a purely algebraic construction of Eisenstein–Kronecker series using the Gauß–Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties of real-
JOHANNES SPRANG
doaj   +1 more source

The Trefoil Soliton

Mathematics, 2022
The Kiepert trefoil is an algebraic curve with remarkable geometric and number theoretic properties. Ludwig Kiepert, generalizing ideas due to Serret and Liouville, determined that it could be parametrized by arc length in terms of elliptic functions. In
David A. Singer
doaj   +1 more source

Differential Signatures of Algebraic Curves [PDF]

SIAM Journal on Applied Algebra and Geometry, 2020
In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups. Given an action of a group $G$, a signature map assigns to a plane algebraic curve another plane algebraic curve (a signature curve) in such a way that two generic ...
Irina A. Kogan, Michael Ruddy, Cynthia Vinzant   +2 more
openaire   +3 more sources

Dopant‐free passivating contacts for crystalline silicon solar cells: Progress and prospects

EcoMat, Volume 5, Issue 2, February 2023., 2023
This article provides an overview of the mechanism and materials of dopant‐free passivating contacts for crystalline silicon solar cells, and focuses on the recent advances in contact configuration and interface engineering for efficiency and stability enhancement.
Yanhao Wang, Shan‐Ting Zhang, Le Li, Xinbo Yang, Linfeng Lu, Dongdong Li   +5 more
wiley   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

On the behaviour of derivative of algebraic polynomials in the regions with cusps

Applied Mathematics in Science and Engineering, 2022
In this paper, we study the behavior of derivatives of algebraic polynomials in bounded and unbounded regions of the complex plane. At the same time, both interior and exterior cusp points are allowed on the boundary of such regions. Bernstein-Walsh-type
N. P. Özkartepe
doaj   +1 more source

Homotopy theory of curved operads and curved algebras [PDF]

arXiv, 2020
Curved algebras are algebras endowed with a predifferential, which is an endomorphism of degree -1 whose square is not necessarily 0. This makes the usual definition of quasi-isomorphism meaningless and therefore the homotopical study of curved algebras cannot follow the same path as differential graded algebras.
arxiv  

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

Advanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia, Nicholas Xuanlai Fang, Mary C. Boyce   +2 more
wiley   +1 more source

Algebraic ship hull surfaces with a main frame from three plane curves in coordinate planes

RUDN Journal of Engineering Research, 2022
One of the important problems of naval architects and designers is a choice of rational ship hull shape. A choice of ship hull form is based often on empirical formulae or on designers’ intuition.
Sergey N. Krivoshapko
doaj   +1 more source