Results 71 to 80 of about 3,864,161 (223)
Hyperbolic Rotations With Hybrid Numbers
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk +2 more
wiley +1 more source
Mean Curvature Flow with a Neumann Boundary Condition in Flat Spaces [PDF]
In this thesis I study mean curvature flow in both Euclidean and Minkowski space with a Neumann boundary condition. In Minkowski space I show that for a convex timelike cone boundary condition, with compatible spacelike initial data, mean curvature flow
LAMBERT, BENJAMIN,STEPHEN
core
DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
: In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
doaj
Random‐key optimization for 2D irregular packing with reusable area evaluation
Abstract The diverse constraints of industrial applications lead to variants of two‐dimensional (2D) irregular packing problems that require tailored solution methods. This paper addresses a real‐world industrial challenge by proposing a new problem definition, the maximum reusable contiguous area problem (MRCAP), and a novel metric, the maximum ...
Felipe S. C. Roberto +5 more
wiley +1 more source
Inflation from Minkowski space [PDF]
We propose a class of scalar models that, once coupled to gravity, lead to cosmologies that smoothly and stably connect an inflationary quasi-de Sitter universe to a low, or even zero-curvature, maximally symmetric spacetime in the asymptotic past, strongly violating the null energy condition ($\dot H\gg H^2$) at intermediate times.
PIRTSKHALAVA, DAVID +3 more
openaire +4 more sources
Inextensible Flows of Curves on Lightlike Surfaces
In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı +1 more
doaj +1 more source
Risk Measure Duality Without Structure
ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source
Clairaut's Theorem in Minkowski Space [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saad, Anis, Low, Robert J.
openaire +3 more sources
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
doaj +1 more source
What in the World Are 4D Shapes?
ABSTRACT It is often said that in special relativity, 4D shapes can be used to explain 3D shape projections onto frames of reference. Perdurantists have frequently used this as a motivation for their view of persistence. Despite this, philosophers never clearly state what 4D shapes are.
Jack Himelright +1 more
wiley +1 more source

