In this paper, we obtain a lower bound for the smallest singular value of nonsingular matrices which is better than the bound presented by Yu and Gu [Linear Algebra Appl. 252(1997)25-38]. Meanwhile, we give some numerical examples which will show the effectiveness of our result.

A novel series of diphenylbutylpiperidines as autophagy inducers was described and extensive SAR studies resulted in derivatives (15d-e, 15i-j) with 10-fold greater activity than the lead compounds 1 and 2. Meanwhile, a new synthetic route to diphenylbutyl bromide (6) from bromobenzene and γ-butyrolactone was also reported here.

A video watermarking algorithm based on relative relationship of DCT coefficients is proposed in this paper. By modification of coefficients on chosen positions, the robustness of watermark embedding is ensured. Meanwhile, as the relationship of coefficients remains unchanged, the quality of video is not affected. The analysis results shows that the performance of proposed algorithm is better t...

By employing topological degree theory, this paper investigates the existence of at least one nontrivial solutions for Lidstone boundary value problems with sign-changing nonlinear term and higher order derivatives. Meanwhile, one example is worked out to demonstrate the main result.

The natural product mangiferin (compound 7) has been identified as a potential glucokinase activator by structure-based virtual ligand screening. It was proved by enzyme activation experiment and cell-based assays in vitro, with potency in micromolar range. Meanwhile, this compound showed good antihyperglycemic activity in db/db mice without obvious side effects such as excessive hypoglycaemia.

We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

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We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective. 2000 Mathematics Subject Classification: 35K05, 35K99, 47J06, 47H10..

Reporting in Molecular Cell, Sheridan et al. (2008) and Breckenridge et al. (2008) show that mitochondrial fragmentation is not required to induce cell death. Meanwhile, Yamaguchi et al. show that proapoptotic Bcl-2 family members promote cytochrome c mobilization through Opa1-mediated cristae remodeling. Therefore, the connection between mitochondrial structure and apoptosis is more complex th...

In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is periodic, we obtain the sufficient conditions which guarantee the existence, uniqueness and global asymptotic stability of the positive periodic solution. Numerical simulations are also presented to...