We study the effect of Howe correspondence on Harish-Chandra series for type I dual pairs over finite fields with odd characteristic. define a bijection obtained from this correspondence, and enjoying property “having minimal unipotent support”. Finally, we examine interaction between weak cuspidality.

We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradicals are isomorphic to dual Radford dimension $4p$ for a prime $p>5$. In particular, we obtain families new examples without the Chevalley property.

Objectives: Herbal medicine is known as a valid alternative treatment. Salvia Reuterana, which has been used in the Iranian traditional medicine, is mostly distributed in the central highlands of Iran. Salvia Reuterana is a medicinal herb with various therapeutic usages. The aim of the present review is to take account of pharmacological properties of Salvia Reuterana. Materials and Methods: Th...

The motivation for this work comes from two problems– test algebraic independence of arithmetic circuits over a field of small characteristic, and generalize the structural property of algebraic dependence used by (Kumar, Saraf CCC’16) to arbitrary fields. It is known that in the case of zero, or large characteristic, using a classical criterion based on the Jacobian, we get a randomized poly-t...

The motivation for this work comes from two problems– test algebraic independence 5 of arithmetic circuits over a field of small characteristic, and generalize the structural property of 6 algebraic dependence used by (Kumar, Saraf, CCC’16) to arbitrary fields. 7 It is known that in the case of zero, or large characteristic, using a classical criterion based on 8 the Jacobian, we get a randomiz...

A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta function by the positive characteristic zeta function introduced by Goss. We prove that for function fields whose characteristic exceeds their...

Visualizing flow structures according to the users’ interests provides insight to scientists and engineers. In previous work, a flow structure based on streamline predicates, that examine, whether a streamline has a given property, was defined. Evaluating all streamlines results in characteristic sets grouping all streamlines with similar behavior with respect to a given predicate. Since there ...

The characteristic sequence of hypergraphs 〈Pn : n < ω〉 associated to a formula φ(x; y), introduced in [5], is defined by Pn(y1, . . . yn) = (∃x) ∧ i≤n φ(x; yi). We continue the study of characteristic sequences, showing that graph-theoretic techniques, notably Szemerédi’s celebrated regularity lemma, can be naturally applied to the study of model-theoretic complexity via the characteristic seq...

The electrospray ionization Fourier transform ion cyclotron resonance mass spectrometry (ESI FT-ICR MS) using collision-induced dissociation (CID) method was applied to investigate the characteristic fragment ions of metalla-aromatic complexes for the first time. The fragmentation process of osmapentalyne, which contained metal-carbon triple bond in a five-membered ring, was discussed in detail...