Results 21 to 30 of about 66,495 (292)
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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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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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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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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Gravity data reduction, Bouguer anomaly, and gravity disturbance
Геофизический журнал, 2023 Each point on the earth has a gravity and gravity potential value. Surfaces formed by connecting points with equal gravity potential values are called equipotential surfaces or level surfaces.
Yi. Nazan
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Packing Ellipsoids with Overlap [PDF]
SIAM Review, 2013 The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulation is given, together with an algorithm for the general case and a simpler algorithm for the special case in which all ellipsoids are in fact spheres ...
Caroline Uhler, Stephen J. Wright 0001
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Frontiers in Water, 2021 Many particulate pollutants in the environment exist in non-spherical shape, but the influences of particle shape on pollutant migration and removal in groundwater systems are not well-understood.
Ke Li, Huilian Ma
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Structure model index does not measure rods and plates in trabecular bone
Frontiers in Endocrinology, 2015 Structure model index (SMI) is widely used to measure rods and plates in trabecular bone. It exploits the change in surface curvature that occurs as a structure varies from spherical (SMI = 4), to cylindrical (SMI = 3) to planar (SMI = 0).
Phil L Salmon +5 more
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On the ellipsoid and plane intersection equation
上海师范大学学报. 自然科学版, 2018 Let E:(x2)/a2+(y2)/b2+(z2)/c2=1 be an ellipsoid and P:px+qy+rz=d be a plane.Based on the Householder transformation,it is shown that the intersection E∩P is nonempty if and only if λ ≥ |d|,where λ=√(ap)2+(bq)2+(cr)2.When λ>|d|,this paper provides a
Huang Yihong, Xu Qingxiang
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