We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations quantum field theory force to appear dual pairs. Verifying this prediction helps us find the full set of nontrivial conserved charges---associated, equal parts, with 2-form and ($D\ensuremath{-}2$)-form currents. Their total number is $D(D+1)$. compute commutators pairs ch...

In the present paper‎, ‎we propose an iterative algorithm for‎ ‎solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix‎ ‎equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} ‎{underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$‎. ‎By this iterative algorithm‎, ‎the solvability of the problem can be determined automatically‎. ‎When the‎ ‎matrix equation is consistent over...

The idiopathic generalized epilepsies encompass a class of epileptic seizure types that exhibit a polygenic and heritable etiology. Advances in molecular biology and genetics have implicated defects in certain types of voltage-gated calcium channels and their ancillary subunits as important players in this form of epilepsy. Both T-type and P/Q-type channels appear to mediate important contribut...

background: c-reactive protein (crp) is an acute phase reactant and has been proved to be a significant predictor of future cardiovascular events. recent studies have demonstrated a correlation between periodontitis and elevated crp levels. however, comparison between the levels of crp in two main forms of periodontitis is ambiguous. this study aims at determining and comparing the relative lev...

the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

In a recent paper (Cf. [19]), we have presented the definitions and essential properties of generalized topological operators 
 g-Int_g, g-Cl_g : P (Ω) −→ (g-T_g-interior g-T_g-closure operators) in space T_g = (Ω, T_g) (T_g-space). Principally, have
 shown that (g-Int_g , g-Cl_g) × is ∅)-grounded, (expansive, non-expansive), (idempotent, idempotent) (∩, ∪)-additive. We also g-Int_g f...