Results 261 to 270 of about 1,470,963 (294)
Design and Modeling of Piezoelectric Nanofilm Actuators for Low-Voltage Powered Microrobots. [PDF]
Lin J, Chen Z, Liu Q.
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Sagittal Posture Parameters of the Spine and Exposure to Awkward Postures in Mattress Manufacture Workers: An Analytical Cross-Sectional Study. [PDF]
Hijazo-Larrosa S +7 more
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Pinching the Sectional Curvature on Open Manifolds
In this paper, the author proves the following theorem: Theorem. Let \(M\) be an open manifold. Given \(\delta >0\) and \(a\in R\), there exists a Riemannian metric on \(M\) such that all sectional curvatures are in \((a-\delta, a+\delta)\).
Streil, Manuel
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Cross-sectional design with curvature constraints
Computer-Aided Design, 2005A practical example of B-spline curve control points manipulation for the geometric construction of a free form shape is presented. Elements of a cross-sectional design methodology are used in conjunction with a skinning type operator for the definition of a B-spline surface.
Anas Bentamy +2 more
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Sectional Curvatures and Characteristic Classes
The Annals of Mathematics, 1964We are concerned here with the relationship between the curvature properties of a riemannian manifold X and the global topological and differential invariants of X. An interesting result in this direction is Chern's theorem [6] that if X is compact, orientable, and has constant riemannian sectional curvature, then all Pontrjagin classes of X (with real
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Sectional curvatures in nonlinear optimization
Journal of Global Optimization, 2007Let \(M[h]=\{ x\in\mathbb R^n: h_j(x)=0\), \(j=1,\dots,n-k \}\), where \(k>0\), \(h_j \in C^2\) \((j=1, \dots,n-k)\). Suppose that the Jacobian matrix \(Jh(x)\) of \(h\) at \(x\) is of rank \(n-k\) for all \(x \in M[h]\). The author gives an explicit expression for the sectional curvature \(K_{M[h]}(x_0,w_1,w_2)\) of the manifold \(M[h]\) at a point ...
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GENERAL RELATIVITY AND SECTIONAL CURVATURE
International Journal of Geometric Methods in Modern Physics, 2006A discussion is given of the sectional curvature function on a four-dimensional Lorentz manifold and, in particular, on the space–time of Einstein's general relativity theory. Its tight relationship to the metric tensor is demonstrated and some of its geometrical and algebraic properties evaluated.
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Sectional-curvature preserving skinning surfaces
Computer Aided Geometric Design, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panagiotis D. Kaklis +1 more
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Sectional curvature and the energy–momentum tensor
Classical and Quantum Gravity, 2005\textit{J.~Ehlers and W.~Kundt} [Gravitation: An Introduction to Current Research, ed. L.~Witten, New York: Wiley, 1962, p. 49] showed that if \(M\) is a spacetime and \(p\in M\), the statement that the Einstein space condition holds at \(p\) is equivalent to the statement that the sectional curvatures of each of any orthogonal pair of non-null 2 ...
Hall, G. S., MacNay, Lucy
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