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Carbon‐rich compounds dehydrobiphenyleno[12]annulenes (DBP[12]As) comprising antiaromatic four‐membered rings (4MR) and 12‐membered ring (12MR) were synthesized and characterized. DBP[12]As feature high HOMO energy levels and narrow HOMO‐LUMO gaps. The 4MRs have stronger antiaromatic character than the 12MR in DBP[12]As. Abstract In this work we report
Komari Suzuki+7 more
wiley +1 more source
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Physical Review Letters, 2022
Optical bound states in the continuum (BICs) are exotic topological defects in photonic crystal slabs, carrying polarization topological vortices in momentum space.
Jiajun Wang, Lei Shi, Jian Zi
semanticscholar +1 more source
Optical bound states in the continuum (BICs) are exotic topological defects in photonic crystal slabs, carrying polarization topological vortices in momentum space.
Jiajun Wang, Lei Shi, Jian Zi
semanticscholar +1 more source
Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2009We introduced a notion of topological vector space valued cone metric space and obtained some common fixed point results. Our results generalize some recent results in the literature.
Ismat Beg, A. Azam, M. Arshad
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On Irresolute Topological Vector Spaces-II
, 2016In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings.
M. A. Iqbal+2 more
semanticscholar +1 more source
Nature Photonics, 2014
Applying the mathematical concept of topology to the wave-vector space of photonics yields exciting opportunities for creating new states of light with useful properties such as unidirectional propagation and the ability to flow around imperfections. The
Ling Lu, J. Joannopoulos, M. Soljačić
semanticscholar +1 more source
Applying the mathematical concept of topology to the wave-vector space of photonics yields exciting opportunities for creating new states of light with useful properties such as unidirectional propagation and the ability to flow around imperfections. The
Ling Lu, J. Joannopoulos, M. Soljačić
semanticscholar +1 more source
, 2010
Background Topology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed Spaces Commutative Topological Groups Elementary Considerations Separation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients ...
L. Narici, E. Beckenstein
semanticscholar +1 more source
Background Topology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed Spaces Commutative Topological Groups Elementary Considerations Separation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients ...
L. Narici, E. Beckenstein
semanticscholar +1 more source
Existence of homogeneous representations of interval orders on a cone in a topological vector space
Social Choice and Welfare, 2005G. Bosi+3 more
semanticscholar +1 more source