abstract let ‎g=(v,e) ‎be a‎ ‎simple ‎connected ‎graph ‎with ‎vertex ‎set ‎v‎‎‎ ‎and ‎edge ‎set ‎‎‎e. ‎the szeged index ‎of ‎‎g is defined by ‎ where ‎ respectively ‎ ‎ is the number of vertices of ‎g ‎closer to ‎u‎ (‎‎respectively v)‎ ‎‎than ‎‎‎v (‎‎respectively u‎).‎ ‎‎if ‎‎‎‎s ‎is a‎ ‎set ‎of ‎size‎ ‎ ‎ ‎let ‎‎v ‎be ‎the ‎set ‎of ‎all ‎subsets ‎of ‎‎s ‎of ‎size ‎3. ‎then ‎we ‎define ‎three ‎...

In this paper we consider a quantum open system and treat the master equation with some restricted dissipator which consists of a set of projection operators (projectors). The exact solution is given under the commutable approximation (in our terminology). This is the first step for constructing a general solution. In this paper we revisit dynamics of a quantum open system. First of all we expl...

INTEGRA nON 7 If no two members of {All} have an element in common, then {All} is a disjoint collection of sets: We write A B = {x: x E A, x ~ B}, and denote the complement of A by AC whenever it is clear from the context with respect to which larger set the complement is taken. The cartesian product Al x ... x An of the sets AI' ... , An is the set of all ordered n-tuples (aI' ... , an) where ...

‎ Let $(X,d)$ be a metric space and $Jsubseteq (0,infty)$ be a nonempty set. We study the structure of the arbitrary intersection of vector-valued Lipschitz algebras, and define a special Banach subalgebra of $cap{Lip_gamma (X,E):gammain J}$, where $E$ is a Banach algebra, denoted by $ILip_J (X,E)$. Mainly, we investigate $C-$character amenability of $ILip_J (X,E)$.

Abstract In this paper, we mainly intend to address the underwater image classification problem in an open-set scenario. Image algorithms have been mostly provided with a small set of species, while there exist lots species not available or even unknown ourselves. Thus, deal and extremely high false alarm rate real scenarios, especially case unseen species. Motivated by these challenges, our pr...

• Formulating a new open-set task requires spotting and cognizing novel characters. Proposing framework that handles characters without retraining. fast rectification technique for text recognition. Scene recognition is popular research topic which also extensively utilized in the industry. Although many methods have achieved satisfactory performance close-set challenges, these lose feasibility...

Domain adaptation aims to transfer knowledge from a domain with adequate labeled samples scarce samples. Prior research has introduced various open set settings in the literature extend applications of methods real-world scenarios. This paper focuses on type setting where target both private (‘unknown classes’) label space and shared (‘known space. However, source only ‘known classes’ Prevalent...

Abstract Recently, hyperspectral imaging (HSI) supervised classification has achieved an astonishing performance by using deep learning. However, most of them take the ideal assumption ‘closed set’, where all testing classes have been known during training. In fact, in real world, new unseen training may appear testing. Obviously, traditional methods cannot operate correctly which requires clas...