Results 251 to 260 of about 993,357 (293)

Effect of Vertebral Body Tether Tensioning on Vertebral Body Growth Modulation. [PDF]

JOR Spine
Jackson TJ, Louer C, El-Hawary R, Hurry J, Nian H, Farnsworth C, Bartley CE, Bryan TP, Kelly MP, Newton PO, Parent S, Pediatric Spine Study Group, Upasani VV.   +12 more
europepmc   +1 more source

Acyclic cucurbituril as sequestrant for acetaminophen.

Chem Commun (Camb)
Mogensen JS, Hofmann TM, Perera S, Lie Y, Pittelkow M, Isaacs L.   +5 more
europepmc   +1 more source

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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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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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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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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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On Bodies Associated with a Given Convex Body

Canadian Mathematical Bulletin, 1996
AbstractLet d ≥ 2, and K ⊂ ℝd be a convex body with 0 ∈ int K. We consider the intersection body IK, the cross-section body CK and the projection body ΠK of K, which satisfy IK ⊂ CK ⊂ ΠK. We prove that [bd(IK)] ∩ [bd(CK)] ≠ (a joint observation with R. J.
Makai, Endre jun., Martini, Horst
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An Inequality for Convex Bodies

1985
Not ...
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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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