Results 251 to 260 of about 362,217 (292)
Advanced Materials, EarlyView.A new embedded 3D printing (EMB3D) strategy enables in situ polymerization of DCPD/COD‐based inks within a fugitive reactive matrix where the activator in the matrix cures the printed filament. Cured ink properties are tunable through DCPD‐COD comonomer ratios, yielding materials from stiff thermosets to soft elastomers.
Young Bum Lee +9 more
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Advanced Materials, EarlyView.Biological and biologically‐inspired functional nanostructures with structural, thermal, optical, and sensing applications are reviewed. The role of nanoscale features in biological materials on performance is described, and their blueprints are used for bio‐inspired nanomaterials, synthesized using advanced techniques (i.e., photolithography, bio ...
Chao Hsuan (Joseph) Sung +15 more
wiley +1 more source
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2001
The table below lists the number of edges, vertices, and faces of the five Platonic solids. The table shows that for each Platonic solid we have the relation Name of polyhedron Number V of vertices quotation Number E of edges Number F of faces tetrahedron 4 6 4 cube 8 12 6 ...
V. A. Efremovich, V. G. Boltyanskiĭ
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The table below lists the number of edges, vertices, and faces of the five Platonic solids. The table shows that for each Platonic solid we have the relation Name of polyhedron Number V of vertices quotation Number E of edges Number F of faces tetrahedron 4 6 4 cube 8 12 6 ...
V. A. Efremovich, V. G. Boltyanskiĭ
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Nature Nanotechnology, 2012
Circularly polarized light can isolate surface states from bulk states in topological insulators, allowing their unique properties to be probed.
Judy J. Cha, Yi Cui
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Circularly polarized light can isolate surface states from bulk states in topological insulators, allowing their unique properties to be probed.
Judy J. Cha, Yi Cui
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Topological Fukaya categories of surfaces
Journal of Pure and Applied Algebra, 2022Abstract We construct the topological Fukaya category of a surface with genus greater than one, making this model intrinsic to the topology of the surface. Instead of using the area form of the surface, we use an admissibility condition borrowed from Heegaard-Floer theory which ensures invariance under isotopy .
Azam, Haniya, Blanchet, Christian
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Topological Approach to Quantum Surfaces
Communications in Mathematical Physics, 1999A topological approach to quantisation of closed surfaces is presented. This is done by imposing the following ``minimal'' requirements for a quantisation \(R\) of a closed Riemann surface \(\Sigma\) of genus \(g\geq 2\): \(R\) is a unital \(C^*\)-algebra, both \(R\) and \(C(\Sigma)\) are fibres in a continuous family of \(C^*\)-algebras over a path ...
Natsume, Toshikazu, Nest, Ryszard
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Codazzi Tensors and the Topology of Surfaces [PDF]
Annals of Global Analysis and Geometry, 1998 The authors introduce the notion of \((0,m)\)-Codazzi tensors relative to an affine connection which extends the well-known concept for \(m=2\). The main results are as follows. (1) Let \(M\) be a compact, oriented surface of genus \(\gamma\), and let \(g\) be a Riemannian metric on \(M\). For \(m\geq 2\) define the \(R\)-vector space \({\mathcal R}_m:
Udo Simon, Huili Liu, C. P. Wang
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1995
Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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Canadian Journal of Mathematics, 1965
An H-space is a topological space T for which it is possible to define a continuous binary compositionwith the following properties: there exists a homotopy unit, i.e.
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An H-space is a topological space T for which it is possible to define a continuous binary compositionwith the following properties: there exists a homotopy unit, i.e.
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On Topological Classification of A-Diffeomorphisms of Surfaces [PDF]
Journal of Dynamical and Control Systems, 2000 This paper is a review of results obtained by the author and related to the topological classification of discrete dynamical systems (cascades) defined on an orientable smooth closed surface \({\mathcal A}_g\) of genus \(g\geq 0\). Topics are: 1) topological classification of one-dimensional basic sets via automorphisms of fundamental groups, 2 ...
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