Results 261 to 270 of about 15,809 (305)

AHP integrated geospatial application for identifying groundwater recharge zones accounting for temporal variations through multi-criterion weighted overlay analysis. [PDF]

Sci Rep
Singh K, Sharma A, Sharma A, Gupta R, Bhowmik A, Senagah A, Al-Ansari N, Juneja G, Mattar MA.   +8 more
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Ultrasound-based assessment of spinal muscle thickness and elasticity in patients with idiopathic scoliosis. [PDF]

Ultrasound J
Lei H, Meng L, Sun Y, Gou Y.
europepmc   +1 more source

3D Simulation Study for a Pneumatic Nozzle-Cylindrical Flapper System. [PDF]

Sensors (Basel)
Xu P, Inaba K, Kagawa T.
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Performance analysis of mouldboard plough body with raised elements and frame based on numerical simulation. [PDF]

PLoS One
Ma X, Wang X, Wan C, Guo G, Zhao J, Zhang Q.   +5 more
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Regular Convex Bodies

Journal of the London Mathematical Society, 1994
The authors consider two operations, \(\square\) and \(\diamondsuit\), on the class of convex bodies. The first one is product (or direct sum) with Euclidean metric (compare the reviewer's paper in Glasnik Mat. 27(47), 145-158 (1992)). The second is defined by the formula: \(A\diamondsuit B=\text{conv}(A\times \{b\}\cup \{a\}\times B)\), where \(a ...
Farran, H. R., Robertson, S. A.
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Covering convex bodies by translates of convex bodies

Mathematika, 1997
Hadwiger conjectured that the smallest number of translates of a convex body \(K\) required to cover \(K\) is \(2^n\). Here a number of known weaker estimates of the number of required translates, or lattice translates, are obtained as consequences of two simple results.
Rogers, C. A., Zong, C.
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Convex bodies with non‐convex cross‐section bodies

Mathematika, 1999
For \(K\) a convex body in \(\mathbb{R}^d\), the inner \((d-1)\)-quermass at direction \(u\in S^{d-1}\) is defined by \[ m_K(u)= \max_{t\in R}\lambda_{d-1} \bigl( K\cap (u^\perp+ tu)\bigr), \] where \(\lambda_{d-1}\) denotes the \((d-1)\)-dimensional Lebesgue measure. The cross-section body \(CK\) of \(K\), introduced by H.
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On the Minimal Convex Shell of a Convex Body

Canadian Mathematical Bulletin, 1993
AbstractFor any convex body C in ℝd we introduce the notion of the convex shell and we prove that there exists a unique "minimal" convex shell, extending the notion of the minimal spherical shell of C. Then we prove that a "typical" convex body touches the boundary of its minimal convex shell in precisely d + 2 points.
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The cross-section body, plane sections of convex bodies and approximation of convex bodies, I

Geometriae Dedicata, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makai, E. jun., Martini, H.
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Intersections of Convex Bodies

Journal of Mathematical Sciences, 2001
For convex bodies \(K_0,K_1,\dots,K_m \subset\mathbb{R}^n\) and for \(\rho=(r_1, \dots,r_n) \in(\mathbb{R}^n)^m\), let \(\Phi(\rho): =K_0\cap \bigcup^m_{i =1} (K_1+r_i)\) and \(D:=\{\rho: \Phi(\rho) \neq\emptyset\}\). Then \(D\) is convex, and the family \(\{\Phi(\rho)\}_{\rho\in D}\) is concave.
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