Results 61 to 70 of about 115,622 (258)
On the Gauss Map of Surfaces of Revolution with Nonlightlike Axis in Minkowski 3-Space
We study surfaces of revolution with a nonlightlike axis in 3-dimensional Minkowski space and classify such surfaces in terms of the Gauss map G that satisfies the condition ΔhG=ΛG, with Λ being a 3×3 real matrix.
Minghao Jin, Donghe Pei
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On closed curves in Minkowski spaces [PDF]
The minimum pseudo-diameter d and the length L of a simple closed rectifiable curve in Minkowski space satisfy L ≧ g d L \geqq gd where g is the half-girth of the unit ball. The bound is sharp.
openaire +2 more sources
The model leverages patient time‐space information for pattern feature representations. Encoders extract first and second‐order features, aggregated with categorical embeddings and dense features. Task‐specific and shared experts use gated networks, with a dispatch layer routing information for diabetes risk evaluation and blood glucose prediction ...
Yingshuai Wang+8 more
wiley +1 more source
Advanced Contactless Bioassembly Approaches: Leveraging Sound, Optical, and Magnetic Fields
This review explores innovative contactless bioassembly techniques driven by sound, light, and magnetic fields, which enable the precise organization of cells, biomaterials, and bioactive substances into complex 3D structures. These technologies, crucial for in vitro modeling and regenerative medicine, are examined in detail, highlighting their ...
Micaela Natta+4 more
wiley +1 more source
Space-Time Defects and Group Momentum Space
We study massive and massless conical defects in Minkowski and de Sitter spaces in various space-time dimensions. The energy momentum of a defect, considered as an (extended) relativistic object, is completely characterized by the holonomy of the ...
Michele Arzano, Tomasz Trześniewski
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Field theories on ρ-deformed Minkowski space-time
We study one-loop perturbative properties of scalar field theories on the ρ-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization and defining properties of the convolution
Kilian Hersent, Jean-Christophe Wallet
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Risk‐aware safe reinforcement learning for control of stochastic linear systems
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
On the differential geometry of curves in Minkowski space
We discuss some aspects of the differential geometry of curves in Minkowski space. We establish the Serret-Frenet equations in Minkowski space and use them to give a very simple proof of the fundamental theorem of curves in Minkowski space. We also state
C. Romero+9 more
core +1 more source
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
SECOND GAUSSIAN CURVATURE OF B-SCROLL SURFACES IN MINKOWSKI 3-SPACE
: In this paper, we have studied the second Gaussian curvature KII of B-Scroll surfaces and extension of the B-Scroll surfaces in the Minkowski 3-space (, d31R31R2x + d2y- d2z) .
Erdal ÖZÜSAĞLAM
doaj