we define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital banach algebra a and show that the δ-approximate spectrum σ_δ (a) of a is compact. the relation between the δ-approximate spectrum and the usual spectrum is investigated. also an analogue of the classical gleason-kahane-zelazko theorem is established: for each ε>0, there is δ>0 such that if ϕ is...

We consider generalizations of the AdS/CFT correspondence in which probe branes are embedded in gravity backgrounds dual to either conformal or confining gauge theories. These correspond to defect conformal field theories (dCFT) or QCD-like theories with fundamental matter, respectively. Moreover, starting from the dCFT we discuss the deconstruction of intersecting M5-branes and M-theory. We ob...

Two hydrogen-related donors in anatase TiO 2 —interstitial hydrogen ( H i ) and substituting for oxygen O )—are addressed by means of ab initio density functional theory vibrational mode spectroscopy. First-principles calculations infrared (IR) absorption measurements reveal that forms an OH bond lying the basal plane crystal characterized a stretch local (LVM) with frequency 3412 cm − 1 . Acc...

option of defect is one of common options between sale and rent contracts, however, it has special rules and conditions in those contracts. in the sale contracts, any defect in the sold or bought thing causes the victim has option of defect but in the rent contracts, only the defect creates option of defect that causes hardship in using of goods or reducing of benefits. in the sale, defect of s...

Induction motors (IMs) are commonly used in various industrial applications. A spectrum synch (SS) technique is proposed in this chapter for early IM defect detection using electric current signals; fault detection in this work will focus on defects in rolling element bearings and rotor bars, which together account for more than half of IM imperfections. In bearing fault detection, the proposed...

In the range of 83 500-89 200 cm ‘, the photoionization spectrum of HI is strongly influenced by autoionization of Rydberg series converging to the higher lying 2B,,2 component of the spin-orbit split ‘H ionic ground state. The photoelectron yield spectrum, exhibiting the various autoionization processes, has been measured on a rotationally cooled sample ( T,,, 13 K), with a spectral resolution...

We investigate theD0-D4-brane system for differentB-field backgrounds including the small instanton singularity in noncommutative SYM theory. We discuss the excitation spectrum of the unstable state as well as for the BPS D0-D4 bound state. We compute the tachyon potential which reproduces the complete mass defect. The relevant degrees of freedom are the massless (4, 4) strings. Both results ar...

This paper presents an analysis of the vibration behavior a rotating machine based on signal spectrum for detecting localized defects in bearings. approach can extract characteristic frequencies related to defect from resonant frequency band signal. The technique is demonstrated tool with ball bearings (bearing number “2” and bearing “4”) under simulated crack cage. Experimental results show so...