Results 101 to 110 of about 275,582 (319)
Characteristic Number: Theory and Its Application to Shape Analysis
Geometric invariants are important for shape recognition and matching. Existing invariants in projective geometry are typically defined on the limited number (e.g., five for the classical cross-ratio) of collinear planar points and also lack the ability ...
Xin Fan+5 more
doaj +1 more source
The relevance. In technologies related to preparation of drilling fluids and thinning down of highly viscous oil products, it is promisingly to use the vibration electromagnetic activators. Vibration electromagnetic activators, operating at near-resonant
Alexander S. Glazyrin+8 more
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Curvatures at the singular points of algebraic curves and surfaces [PDF]
In this paper, we study the computation of curvatures at the singular points of algebraic curves and surfaces. The idea is to convert the problem to compute the curvatures of the corresponding regular parametric curves and surfaces, which have intersections with the original curves and surfaces at the singular points. Three algorithms are presented for
arxiv
Dark Energy From the Gravitational Wave Background With Scalar Field Dark Matter
ABSTRACT Recent observational results, such as those from pulsar timing arrays (PTA), suggest a low‐frequency Gravitational Wave Background (GWB) permeates our universe. This opens the possibility that gravitational waves could span a broader spectrum, potentially impacting cosmological scales.
Edwin L. Pérez‐Ochoa, Tonatiuh Matos
wiley +1 more source
Extensions of Rokhlin congruence for curves on surfaces [PDF]
The subject of this paper is the problem of arrangement of a real nonsingular algebraic curve on a real non-singular algebraic surface. This paper contains new restrictions on this arrangement extending Rokhlin and Kharlamov-Gudkov-Krakhnov congruences for curves on surfaces.
arxiv
The Stäckel systems and algebraic curves [PDF]
We show how the Abel–Jacobi map provides all the principal properties of an ample family of integrable mechanical systems associated to hyperelliptic curves. We prove that derivative of the Abel–Jacobi map is just the Stäckel matrix, which determines n-orthogonal curvilinear coordinate systems in a flat space.
openaire +3 more sources
Quantum spectral curve as a tool for a perturbative quantum field theory
An iterative procedure perturbatively solving the quantum spectral curve of planar N=4 SYM for any operator in the sl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed.
Christian Marboe, Dmytro Volin
doaj +1 more source
The Symmetric Algebra for Certain Monomial Curves [PDF]
In this article we compute a minimal Groebner basis for the symmetric algebra for certain affine Monomial Curves, as an R-module. Keywords: Monomial Curves, Groebner Basis, Symmetric Algebra. Mathematics Subject Classification 2000: 13P10, 13A30 .
arxiv
To handle nonlinearity and feature coupling, a data‐driven aging model is proposed, employing dual Gaussian Process Regressions and transfer learning to enhance model efficiency and accuracy. Adaptive filtering refines the model by integrating aging features and output capacity, resulting in a closed‐loop data fusion framework for SOH estimation ...
Zhiqiang Lyu+3 more
wiley +1 more source
On the Dimension of Algebraic-Geometric Trace Codes
We study trace codes induced from codes defined by an algebraic curve X. We determine conditions on X which admit a formula for the dimension of such a trace code.
Phong Le, Sunil Chetty
doaj +1 more source