Results 11 to 20 of about 929 (179)
Framework for X-ray mirror surface shape fitting. [PDF]
The closed‐form expressions for elliptic cylinders, hyperbolic cylinders, ellipsoids, hyperboloids, and diaboloids used for X‐ray mirror surface shapes are summarized. Additionally, a four‐layer framework to fit the measured surface shape data in slope or height for convenient X‐ray mirror surface characterization is proposed.For accurate ...
Huang L +9 more
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Quadratic Hyperboloids in Minkowski Geometries
AbstractA Minkowski plane is Euclidean if and only if at least one hyperbola is a quadric. We discuss the higher dimensional consequences too.
Árpád Kurusa, József Kozma
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b-Contact structures on tentacular hyperboloids
This paper connects two different approaches to the analysis of Hamiltonian dynamics on non-compact energy hypersurfaces - $b$-symplectic geometry with its singular symplectic form and Floer techniques for tentacular Hamiltonians. More precisely, we show how to equip tentacular hyperboloids with a $b$-contact structure.
M. Vogel, J. Wiśniewska
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This paper investigates a relativistic model of the Universe in which the geometry describes a 4D version of the 2-sheeted hyperboloid that is isotropic, homogeneous in space at a given time and inhomogeneous in time. The internal Schwarzschild metric is used for this model, which is justified by the fact that spherically-symmetric empty spaces in the ...
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Hyperboloid offset surface in the architecture and construction industry
In this paper the issue of approximation of the hyperboloid offset surface off(S(t, v); d) at distance d by the hyperboloid surface S1(ϕ, v) is considered. The problem of determining various surfaces approximating the hyperboloid offset surface off (S(t,
Koźniewski Edwin, Borowska Anna
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Using the Theory of Functional Connections to Solve Boundary Value Geodesic Problems
This study provides a least-squares-based numerical approach to estimate the boundary value geodesic trajectory and associated parametric velocity on curved surfaces.
Daniele Mortari
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. Objectives This work is a continuation of a series of articles devoted to an analysis of the effect of the utilised second-order surface types on the accuracy of determining earthquake epicentre and hypocentre coordinates. Methods In order to find the
Gaidarbek K. Aslanov +3 more
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Hyperboloid, instanton, oscillator
We suggest the exactly solvable model of the oscillator on a four-dimensional hyperboloid which interacts with a SU(2) instanton. We calculate its wavefunctions and spectrum.
Bellucci, Stefano +2 more
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Gaussian Curvature Effects on Graphene Quantum Dots
In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the material.
Sergio de-la-Huerta-Sainz +2 more
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Design and Performance Evaluation of Asymmetric Hyperboloid Linear Ion Trap [PDF]
Hyperbolic electrode linear ion trap is a good choice as the mass analyzer of miniaturized ion trap mass spectrometer for the reason that it has a compact size and excellent performance. However, ions are ejected from both opposite directions along the x-
WU Hui +5 more
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