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Engineering Multiple Hydrogen-Bond Sites With D-π-A Motifs for Strong Optical Nonlinearity and Giant Birefringence in Organic-Inorganic Halides. [PDF]

Angew Chem Int Ed Engl
Zhang Y, Li Y, Wu Y, Teng B, Lu H, Jiang X, Sun S, Hu C, Zhai D, Cao L, Ma J, Li R, Xu D, Lin Z, Zhong D.   +14 more
europepmc   +1 more source

Loop Space Decompositions of Highly Symmetric Spaces With Applications to Polyhedral Products [PDF]

European Journal of Mathematics, 2023
We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry. This is applied to polyhedral products to give a loop space decomposition of polyhedral products associated
Lewis Stanton
exaly   +2 more sources

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On shortest paths in polyhedral spaces

Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84, 1984
We consider the problem of computing the shortest path between two points in two- or three-dimensional space bounded by polyhedral surfaces. In the 2-D case the problem is easily solved in time $O(n^2 \log n)$. In the general 3-D case the problem is quite hard to solve, and is not even discrete; we present a doubly-exponential procedure for solving the
Micha Sharir, Amir Schorr
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Parametric Analysis of Polyhedral Iteration Spaces

Journal of VLSI signal processing systems for signal, image and video technology, 1998
In the area of automatic parallelization of programs, analyzing and transforming loop nests with parametric affine loop bounds requires fundamental mathematical results. The most common geometrical model of iteration spaces, called the polytope model, is based on mathematics dealing with convex and discrete geometry, linear programming, combinatorics ...
Clauss, Philippe, Loechner, Vincent
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Polyhedrality in Orlicz spaces

Israel Journal of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hájek, P. (Petr Pavel), Johanis, M.
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Metric Projections and Polyhedral Spaces

Set-Valued Analysis, 2006
Let \(X\) be a Banach space and \(Y\) a proximinal subspace of \(X\). The metric projection \(P_Y\) onto \(Y\) is called Hausdorff lower semi-continuous at \(x_0\in X\) if for every \(\epsilon >0\) there exists \(\delta=\delta(\epsilon)>0\) such that \(B(z,\epsilon)\cap P_Y(x)\neq \emptyset\) for every \(z\in P_Y(x_0)\) and every \(x\in B(x_0,\delta) =
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Polyhedral Search Space Exploration in the ExaStencils Code Generator

Transactions on Architecture and Code Optimization, 2018
Performance optimization of stencil codes requires data locality improvements. The polyhedron model for loop transformation is well suited for such optimizations with established techniques, such as the PLuTo algorithm and diamond tiling. However, in the
Christian Lengauer, Stefan Kronawitter
exaly   +2 more sources

Self-Conjugate Polyhedral Banach Spaces

Bulletin of the London Mathematical Society, 1986
Problem 91 (of Mazur) in the Scottish Book asked whether a real finite- dimensional Banach space isometric to its dual is necessarily isometrically an inner-product space. Answering this in the negative, Sztencel and Zaremba asked whether self-conjugate normed spaces with polyhedral unit balls exist for dimensions \(n\geq 3.\) An affirmative answer to ...
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On polyhedral approximations in an n-dimensional space

Computational Mathematics and Mathematical Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces

Israel Journal of Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deville, Robert, Fonf, Vladimir, Hájek, Petr   +2 more
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