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The surface morphology of fractures formed by hydraulic fracturing is usually rough. The roughness of the fracture surface is the main reason the actual fracture conductivity deviates from the ideal flat plate model result.
Qiqi Wang, Mian Chen, Jiaxin Lv
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On the quermassintegrals of convex bodies [PDF]
The well-known question for quermassintegrals is the following: For which values of i ∈ N and every pair of convex bodies K and L ,i s it true that Wi(K + L) Wi+1(K + L) ≥ Wi(K) ˜ Wi+1(K) + Wi(L) Wi+1(L) ? In 2003, the inequality was proved if and only if i = n –1o ri = n – 2.
Zhao, C, Cheung, WS
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Equilibria of Plane Convex Bodies [PDF]
AbstractWe obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of $$\partial K$$ ∂ K with respect to O.
Jonas Allemann+2 more
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Convex hull estimation of mammalian body segment parameters
Obtaining accurate values for body segment parameters (BSPs) is fundamental in many biomechanical studies, particularly for gait analysis. Convex hulling, where the smallest-possible convex object that surrounds a set of points is calculated, has been ...
Samuel J. Coatham+2 more
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Scaling of convex hull volume to body mass in modern primates, non-primate mammals and birds. [PDF]
The volumetric method of 'convex hulling' has recently been put forward as a mass prediction technique for fossil vertebrates. Convex hulling involves the calculation of minimum convex hull volumes (vol(CH)) from the complete mounted skeletons of modern ...
Charlotte A Brassey, William I Sellers
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Wireless Sensor Network-Based Rigid Body Localization for NLOS Parameter Estimation
In wireless sensor network (WSN)-based rigid body localization (RBL) systems, the non-line-of-sight (NLOS) propagation of the wireless signals leads to severe performance deterioration.
Pengwu Wan+3 more
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Ellipses surrounding convex bodies
If, for a double normal xx* of a convex body K, an ellipse E ∋ x, x* is included in K, we say that E is surrounded by the boundary of K. If, instead, in the plane of E, K is included in the convex hull of E, then we say that E is surrounding K.
Zamfirescu Tudor
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The Heart of a Convex Body [PDF]
15 pages, 3 figures. appears as "Geometric Properties for Parabolic and Elliptic PDE's", Springer INdAM Series Volume 2, 2013, pp 49 ...
Lorenzo Brasco, MAGNANINI, ROLANDO
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Nested Convex Bodies are Chaseable [PDF]
In the Convex Body Chasing problem, we are given an initial point $v_0$ in $R^d$ and an online sequence of $n$ convex bodies $F_1, ..., F_n$. When we receive $F_i$, we are required to move inside $F_i$. Our goal is to minimize the total distance travelled. This fundamental online problem was first studied by Friedman and Linial (DCG 1993).
Bansal, Nikhil+4 more
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Elastic energy of a convex body [PDF]
In this paper a Blaschke‐Santaló diagram involving the area, the perimeter and the elastic energy of planar convex bodies is considered. More precisely we give a description of set urn:x-wiley:0025584X:media:mana201400256:mana201400256-math-0001where A is the area, P is the perimeter and E is the elastic energy, that is a Willmore type energy in the ...
Takéo Takahashi+3 more
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