This paper presents for the first time an extended Mori-Tanaka approach aimed at identifying little-explored piezoelectric response of unidirectional nanoporous composites with energetic surfaces. The interface is simulated using generalized Gurtin-Murdoch coherent model considering nonvanishing in-plane surface stress and electric displacement. analytical solutions Eshelby’s inhomogeneity prob...

We study the properties of two classes functions $\lambda_k$ and $\tilde{\lambda}_k$ that generalize Liouville $\lambda$ function, including some equivalencies between Riemann hypothesis assertions about asymptotic behavior summatory $\tilde{\lambda}_k.$ Similar results are obtained for generalization Möbius function considered by Tanaka.

A study was conducted to standardize a protocol for in-vitro direct regeneration and mass multiplication of Citrus indica Tanaka using shoot tip explants excised from mature trees. Shoot tips were inoculated in MS medium supplemented with varying concentrations combinations cytokinins auxins. media when fortified BAP 0.5 mg/l + 1.0 Kn found be the best treatments initiation while 1 IBA; NAA IBA...

We provide a definition of Vafa-Witten invariants for projective surface Deligne-Mumford stacks, generalizing the construction Tanaka-Thomas on surfaces inspired by S-duality conjecture. give calculations root stack over general type quintic surface, and with ADE singularities. The relationship between singularities their crepant resolutions is also discussed.