The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles the sphere. are constructed using CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross sphere inside circle. BPZ construction applied give an inner product such whose associated bulk adjoi...

The transition operator that describes the time evolution of the state probability distribution for continuousstate linear systems is given by an integral operator. A state-discretization approach is proposed, which consists of a finite rank approximation of this integral operator. As a result of the state-discretization procedure, a Markov chain is obtained, in which case the transition operat...

In these notes we discuss the coupling or addition of angular momenta, a problem that arises whenever different subsets of the degrees of freedom of a system, each possessing its own angular momentum operator, are combined to form the whole system. In such cases, the whole system also possesses an angular momentum operator. Alternatively, we may say that there is an action of the rotations on e...

this paper demonstrates design and fabrication o f a mechatronic system for human drowsiness detection. this system can be used in multiple places. for example, in factories, it is used on some dangerous machinery and in cars in order t o prevent the operator o r driver from falling asleep. this system is composed of three parts: (1) mechanical, (2) electrical and (3) image processing system. a...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

0