Let Y be a Banach space, Y* its conjugate space, X a weak*-dense closed subspace of Y* with the induced norm. We denote the pairing between x in X and ƒ in 7 by (y, x). If T is a mapping from X into 2 F , T is said to be monotone if for each pair of elements [x9 y] and [u, w] of G(T)9 the graph of T, we have (y—w, x—w)^0. Tis said to be maximal monotone from X to 2 F if Tis monotone and maximal...

The gender information in written Chinese third person pronouns is not symmetrically encoded: the character for "he" (, with semantic radical , meaning human) is used as a default referring to every individual, while the character for "she" (, with semantic radical , meaning woman) indicates females only. This critical feature could result in different patterns of processing of gender informati...

 For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto  fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an o...

bandwidth labelling is a well known research area in graph theory. we provide a new proof that the bandwidth of mobius ladder is 4, if it is not a $k_{4}$, and investigate the bandwidth of a wider class of mobius graphs of even strips.

Behavioral dynamics of living species is characterized by additonal nonNewtonian properties which are not included in the laws of Newtonian or statistical mechanics. These properties follow from a priviledged ability of living systems to process information, namely, to generate a force in response to an external cue. In this paper “free-will-based” forces will be incorporated into the neurodyna...

‎‎let r be a non-commutative ring with unity‎. ‎the commuting graph‎ ‎of $r$ denoted by $gamma(r)$‎, ‎is a graph with a vertex set‎ ‎$rsetminus z(r)$ and two vertices $a$ and $b$ are adjacent if and only if‎ ‎$ab=ba$‎. ‎in this paper‎, ‎we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$‎. it is shown that‎, ‎$gamma(r)$ is the disjoint ...

We establish a surprisingly close relationship between universal Horn classes of directed graphs and varieties generated by socalled adjacency semigroups which are Rees matrix semigroups over the trivial group with the unary operation of reversion. In particular, the lattice of subvarieties of the variety generated by adjacency semigroups that are regular unary semigroups is essentially the sam...

The dynamic interplay between reflexive and controlled determinants of behavior is one of the most general organizing principles of brain function. A powerful analogue of this interplay is seen in the antisaccade task, which pits reflexive and willed saccadic mechanisms against one another. Event-related functional magnetic resonance imaging of the human brain showed greater prestimulus prepara...