Results 11 to 20 of about 45,599 (265)
On the Minimum Volume Covering Ellipsoid of Ellipsoids [PDF]
SIAM Journal on Optimization, 2006 Let ${\cal S}$ denote the convex hull of $m$ full-dimensional ellipsoids in $\mathbb{R}^n$. Given $\epsilon > 0$ and $\delta > 0$, we study the problems of computing a $(1+ \epsilon)$-approximation to the minimum volume covering ellipsoid of ${\cal S}$ and a $(1 + \delta)n$-rounding of ${\cal S}$.
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Mathematics, 2023 The gravity force of a gravity field generated by a non-rotating level ellipsoid of revolution enclosing mass M is given as a solution of a partial differential equation along with a boundary condition of Dirichlet type. The partial differential equation
Gerassimos Manoussakis
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The problem of Dirichlet for an ellipsoid [PDF]
Terrestrial Magnetism and Atmospheric Electricity, 1935 (1) Introduction—In a group of important problems in potential theory it is required to determine a harmonic function which takes on preassigned continuous values on the boundaries of some region R. Under the proper limitations on the geometrical characteristics of the region R, it is known that the solution of the problem of Dirichlet exists and is ...
Sokolnikoff, I. S., Sokolnikoff, E. S.
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Stadiums based on curvilinear geometry: Approximation of the ellipsoid offset surface
Open Engineering, 2022 This article provides an effective method of determining the coordinates of points and the angles for various surfaces approximating the ellipsoid surface. The stands of the stadium (with a capacity of up to 82,000 seats) with rows shaped by ellipse arcs
Borowska Anna
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The Neumann problem on ellipsoids [PDF]
Journal of Applied Mathematics and Computing, 2017 The Neumann problem on an ellipsoid in R^n asks for a function harmonic inside the ellipsoid whose normal derivative is some specified function on the ellipsoid. We solve this problem when the specified function on the ellipsoid is a normalized polynomial (a polynomial divided by the norm of the normal vector arising from the definition of the ...
Sheldon Axler, Peter J. Shin
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Effect of roughness on the conductivity of vacuum coated flexible paper electrodes
Nano Select, 2021 Flexible conducting materials are required for the design and fabrication of a host of applications involving flexible electronic items. A flexible substrate like paper or polymer is generally employed for deposition of metal by a variety of processes ...
Gaurav Rawal, Animangsu Ghatak
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Existence of Gauss John ellipsoid operator problem [PDF]
ITM Web of Conferences, 2022 There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid.
Yu Li’ao, Zou Du
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Mathematics of Computation, 1964 Summary: A well-known statistical problem is to determine an ellipsoid \(R_s^e\) in \(E_n\) which contains a certain fraction of the points from a set \(S\). Here we use the word ``contains'' to mean that a point \(p_i\in S\) is either in the interior or on the surface of the ellipsoid \(R_s^e\).
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Reduction of geodetic observations to the reference ellipsoid
Vojnotehnički Glasnik, 2011 Field observations refer to the vertical of the geoid, because the geodetic instruments are put in the working position in respect to the vertical. It is not appropriate for the calculations on the ellipsoid surface, which request measured elements to be
Stevan M. Radojčić
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Functional Löwner Ellipsoids [PDF]
The Journal of Geometric Analysis, 2021 We extend the notion of the smallest volume ellipsoid containing a convex body in~$\mathbb{R}^{d}$ to the setting of logarithmically concave functions. We consider a vast class of logarithmically concave functions whose superlevel sets are concentric ellipsoids.
Ivanov, Grigory, Tsiutsiurupa, Igor
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