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Let f be a smooth nondegenerate real valued function on a finite dimensional, compact and connected Riemannian manifold. The bipartite min-max graph is defined as follows. Its nodes are formed by the set of local minima and the set of local maxima. Two nodes (a local minimum and a local maximum) are connected in by means of an edge if some trajectory of the corresponding gradient flow connects them. Given a natural number k, we construct a function f such that the length of the shortest path in between two specific local minima exceeds k. The latter construction is independent of the underlying Riemannian metric. 相似文献
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GHISLAIN BLANQUET JACQUES WALRAND HARALD BREDOHL IWAN DUBOIS 《Molecular physics》2013,111(24):2021-2031
Fourier transform spectra have been recorded for carbon disulphide CS2 in the region of the 4ν2 + ν3 band near 3100 cm?1. The data analysis has determined new molecular constants. Bands were also observed for the isotopomer 12C32S34S. 相似文献
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GHISLAIN BLANQUET JACQUES WALRAND HARALD BREDOHL IWAN DUBOIS 《Molecular physics》2013,111(17):1469-1484
Fourier transform spectra have been recorded for carbon disulphide (CS2) in the region between 3400 cm?1 and 4400 cm?1. A data analysis has determined new molecular constants: 14 bands were observed for the main isotopic form 12C32S2, two bands for the isotopomer 12C32S34S and one each for 12C32S33S and 13C32S2. 相似文献
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