in [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.also, we exhibited the topic of limit summability of real functions in [2,3]. inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. finally, we pose an unsolved problem aboutthem.

We present two novel dressed inductive ring trap geometries, ideal for atom interferometry or studies of superfluidity and well-suited to utilisation in atom chip architectures. The design permits ring radii currently only accessible via near-diffraction-limited optical traps, whilst retaining the ultra-smooth magnetic potential afforded by inductive traps. One geometry offers simple parallel i...

Contactless measurement of important semiconductor parameters has become a popular trend of current semiconductor technology. Here we will describe an improved version of radio frequency photoconductive decay (RFPCD) operating in the ultra-high frequency (UHF) region. This work will show that the improved technique is capable of measuring samples ranging in size from submicron thin films to lar...

In this paper, the definition of Stone-Čech defined on discrete topological space natural numbers is used, which set all ultra-filters and largest compact created from space. The algebraic properties will be used to understand study some it. We have expanded semi-group process ( , naturally compactification . use illustrate structure, emphasizing smallest ideal where show that containing a mini...

let $l$ be a completely regular frame and $mathcal{r}l$ be the ‎ring of continuous real-valued functions on $l$‎. ‎we show that the‎ ‎lattice $zid(mathcal{r}l)$ of $z$-ideals of $mathcal{r}l$ is a‎ ‎normal coherent yosida frame‎, ‎which extends the corresponding $c(x)$‎ ‎result of mart'{i}nez and zenk‎. ‎this we do by exhibiting‎ ‎$zid(mathcal{r}l)$ as a quotient of $rad(mathcal{r}l)$‎, ‎the‎ ‎...

Ultra-precision grinding using super abrasives such as diamond and Cubic Boron Nitride (CBN) is ideally suited to the production of artefacts in hard or brittle materials such as ceramics or hard metals. These materials are well suited to the production of moulds. Conventional ultra-precision machining techniques such as diamond turning or micro milling are of limited use in the production of t...

Liquid droplet whispering-gallery-mode microresonators open a new research frontier for sensing, optomechanics and photonic devices. At visible wavelengths, where most liquids are transparent, a major contribution to a droplet optical quality factor is expected theoretically from thermal surface distortions and capillary waves. Here, we investigate experimentally these predictions using transie...

Hybrid excavator control strategy based on rules optimizes the specific fuel consumption only to determine engine operating point in the perspective of qualitative analysis, it is not sufficient to reduce the excavator fuel consumption because of ignoring the affect of engine power output. In this paper, an instantaneous minimum fuel consumption control strategy for hybrid power-train is propos...

This paper demonstrates optimum receiver performance in terms of bit error rate (BER) for time hopping pulse position modulation (TH-PPM) ultra wideband (UWB) system in multiple user interference environment for indoor radio communication. Equal gain combining and selective gain combining have been demonstrated in terms of ideal RAKE (ARAKE), selective RAKE (SRAKE) and partial RAKE (PRAKE) rece...

Managing multiple level spinal metastases is challenging. We report the case of a 58-year-old female with advanced lung cancer who presented with multiple pathological fractures of the thoracic spine (T5, T6, T7, and T8 vertebrae). She was treated with palliative radiotherapy. Her resting pain improved, but the instability pain persisted. One month later, she had a trivial fall leading to a pat...