Results 61 to 70 of about 280 (131)
A short proof of a central limit theorem for the order of the giant component and k$k$‐core
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract In this note we outline a new and simple approach to proving central limit theorems for various ‘global’ graph parameters that have robust ‘local’ approximations, using the Efron–Stein inequality, which relies on a combinatorial analysis of the stability of these approximations under resampling an edge.
Michael Anastos +3 more
wiley +1 more source
THE SHAPE OPERATOR OF THE BEZIER SURFACES IN MINKOWSKI-3 SPACE
Journal of Science and Arts, 2020 Bezier surfaces are commonly used in Computer-Aided Geometric Design since it enables in geometric modeling of the objects. In this study, the shape operator of the timelike and spacelike surfaces has been analyzed in Minkowski-3 space.
Samancı, Hatice Kuşak +2 more
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On the deterministic interior body of random polytopes
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Let {Xi}i=1∞$\lbrace X_i\rbrace _{i=1}^{\infty }$ be a sequence of independent copies of a random vector X$X$ in Rn$\mathbb {R}^n$. We revisit the question to determine the asymptotic shape of the random polytope KN=conv{X1,…,XN}$K_N={\rm conv}\lbrace X_1,\ldots,X_N\rbrace$ where N>n$N>n$.
Minas Pafis, Natalia Tziotziou
wiley +1 more source
On Null Cartan Normal Helices in Minkowski 3-Space
AxiomsIn this paper, we introduce null Cartan normal helices in Minkowski space E13. We obtain explicit expressions for their torsions by considering the cases when the C-constant vector field is orthogonal to their axis or not orthogonal to it.
Emilija Nešović
doaj +1 more source
Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, Volume 28, Issue 4, Page 1649-1672, July 2026.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
wiley +1 more source
Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space
AIP AdvancesGeodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces can be
A. A. Almoneef, R. A. Abdel-Baky
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Flexible polyhedra in Minkowski 3-space [PDF]
manuscripta mathematica, 2003 The author considers flexibility of polyhedra in a Minkowski 3-space, i.e., in a linear space consisting of all ordered triples \((x_1,x_2, x_3)\) endowed with the scalar product \((x,y)=x_1y_1 +x_2y_2-x_3y_3\). He confirms the existence of (non-immersed) flexible polyhedra in such a space, and that any of them preserves the (generalized) volume and ...
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Discover Class‐Based Feature Distribution by Encoding Discrete Data for Classification
Expert Systems, Volume 43, Issue 7, July 2026.ABSTRACT The self‐organisation map is an unsupervised learning technique that discovers patterns and relationships in data without requiring labelled training data. Inspired by the self‐organisation map, Self‐Organised Granular encoding has been shown to be effective for generating reliable discrete data clustering results as it is a data encoding ...
Qiang Fu +3 more
wiley +1 more source
Ruled Surfaces and Their Geometric Invariants via the Orthogonal Modified Frame in Minkowski 3-Space
MathematicsRuled surfaces in Minkowski 3-space play a crucial role in differential geometry and have significant applications in physics and engineering. This study explores the fundamental properties of ruled surfaces via orthogonal modified frame in Minkowski ...
Emad Solouma +2 more
doaj +1 more source
NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3.
Muhittin Evren AYDIN, Mahmut ERGÜT
doaj