Quantum differential operators on the quantum plane

The universal enveloping algebra U(g) of a Lie algebra g acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or "quantum group") is a deformation of a universal enveloping algebra and acts not through the differential operators of its representation ring but through the quantised differential operators of its representation ring. We present this situation for the quantum group of sl_2.Comment: 18 pages, references added, address change

A Genetic Algorithm with Design of Experiments Approach to Predict the Optimal Process Parameters for FDM

This paper describes a Genetic Algorithm (GA) with Design of Experiments (DoE) approach to predict the optimized surface roughness and porosity characteristics of the parts produced using ABS material on stratasys FDM 2000 machine. The Mathematical Model (MM) was developed by using Response Surface Methodology (RSM). It is to predict and investigate the influence of selected process parameters namely slice thickness, road width, liquefier temperature and air gap and their interactions on the surface roughness and porosity. The developed MM is the fitness function in GA in order to find out the optimal sets of process parameters and to predict the corresponding surface quality characteristics. These results have been validated and the experimental results after GA are found to be in conformance with the predicted process parameters.Mechanical Engineerin

Discovery of Blue Luminescence in the Red Rectangle: Possible Fluorescence from Neutral Polycyclic Aromatic Hydrocarbon Molecules?

Here we report our discovery of a band of blue luminescence (BL) in the Red Rectangle (RR) nebula. This enigmatic proto-planetary nebula is also one of the brightest known sources of extended red emission as well as of unidentified infra-red (UIR) band emissions. The spectrum of this newly discovered BL is most likely fluorescence from small neutral polycyclic aromatic hydrocarbon (PAH) molecules. PAH molecules are thought to be widely present in many interstellar and circumstellar environments in our galaxy as well as in other galaxies, and are considered likely carriers of the UIR-band emission. However, no specific PAH molecule has yet been identified in a source outside the solar system, as the set of mid-infra-red emission features attributed to these molecules between the wavelengths of 3.3 micron and 16.4 micron is largely insensitive to molecular sizes. In contrast, near-UV/blue fluorescence of PAHs is more specific as to size, structure, and charge state of a PAH molecule. If the carriers of this near-UV/blue fluorescence are PAHs, they are most likely neutral PAH molecules consisting of 3-4 aromatic rings such as anthracene (C14H10) and pyrene (C16H10). These small PAHs would then be the largest molecules specifically identified in the interstellar medium.Comment: 4 pages, 4 figures, Accepted for publication in ApJL (LaTeX, uses emulateapj.sty

The 11th Dimensional super power man from the short story Lion's Tail

Dr. C.S. Lakshmi uses the pen name Ambai for publishing Tamil fiction. Ambai, a Sahitya Akademi Award winner in 2021, has written works with feminist themes. A skilled short story writer. It is only possible for a few writers to mix science and novel short stories. Embedding modern scientific theories in the short story, Ambay has created a short story called "Lion's Tail" without compromising his literary taste. This short story gives an understanding of the eleventh dimension related to physics theories such as the Theory of Everything, M Theory, and String Theory. Are we still alive after the death of Mr. Haror, a Germany-based Sri Lankan writer named Rajshiva, on Facebook in 2014? Ambai's narration has helped with the article posted under the title. This article was reposted the same year by Saravana Dev in the Ekara Tamil Repository. The earth we live on has three dimensions. Scientists like Einstein confirmed the fourth dimension of spacetime. His Theory of Everything was followed by String Theory and M Theory. Physicists believe that eleven dimensions are the final result of all these theories. They suggest that life may exist in this first dimension and that they may have different energies than humans living on Earth. A cyborg is a combination of man, animal, and machine. It can also be considered a ghost. The aim of the article is to show that the story of "Lion's Tail" is written with the hypothesis that a creature in the eleventh dimension might be like a cyborg. In this short story, concepts and details about the eleventh dimension, the nature of the creatures living there, and the morphology, character, and power of the character Achyuth, who is a cyborg, are explained. M theory and string theory rank as nominal theories. In this short story, concepts and details about the eleventh dimension, the nature of the creatures living there, and the characters are explored. The power of the character Achyut, who is a cyborg, is explained. M theory and string theory rank as nominal theories. Mythical characters inherit concepts of birth and death, and concepts of female space are also seen. The short story is an analogy that takes science and combines it with traditional ideas

Angular Resolution of an EAS Array for Gamma Ray Astronomy at Energies Greater Than 5 x 10 (13) Ev

A 24 detector extensive air shower array is being operated at Ootacamund (2300 m altitude, 11.4 deg N latitude) in southern India for a study of arrival directions of showers of energies greater than 5 x 10 to the 13th power eV. Various configurations of the array of detectors have been used to estimate the accuracy in determination of arrival angle of showers with such an array. These studies show that it is possible to achieve an angular resolution of better than 2 deg with the Ooty array for search for point sources of Cosmic gamma rays at energies above 5 x 10 to the 13th power eV

Knowledge and attitude of medical undergraduate, interns and postgraduate students towards emergency contraception

 Background: Although India was the first country in the world to have national family planning policy, the acceptance of contraceptive methods has been unsatisfactory. Many women in their peak reproductive years, who wish to control their fertility, are not aware about the different methods of contraceptives available. Unregulated fertility results in unplanned pregnancies. Emergency contraceptive pills can avoid many such unplanned pregnancies. The study was to assess the knowledge and attitude about emergency contraception (EC) among the undergraduate, interns and postgraduate medical science university students.Methods: A cross sectional study was carried out among 180 medical students which include undergraduate, interns, and postgraduate students (60 from each group) studying at BJ Medical College, Pune, Maharashtra by a convenient sample method over a period of August 2016 to November 2016. Data were collected by pre-designed, pre-tested, self-administered questionnaire. Data was analyzed in the form of percentage and proportions and Chi square test was applied.Results: In this study, a total of 180 respondents, of which 110 (61.2%) were male and 70 (38.8%) were female. The knowledge about EC was highest (47.6%) among postgraduates in comparison to interns (43.3%) and undergraduate students (41.6%). Overall positive attitude toward EC was observed among 73.8% of the respondents.Conclusions: Considering the role of a medical graduate as counselor and health care provider, the technical knowledge about different aspects of EC among the study population was inadequate

Study Of Statistical Models For Route Prediction Algorithms In VANET

Vehicle-to-vehicle communication is a concept greatly studied during the past years. Vehicles equipped with devices capable of short-range wireless connectivity can form a particular mobile ad-hoc network, called a Vehicular Ad-hoc NETwork (or VANET). The users of a VANET, drivers or passengers, can be provided with useful information and with a wide range of interesting services. Route prediction is the missing piece in several proposed ideas for intelligent vehicles. In this paper, we are studying the algorithms that predict a vehicle's entire route as it is driven. Such predictions are useful for giving the driver warnings about upcoming traffic hazards or information about upcoming points of interest, including advertising. This paper describes the route Prediction algorithms using Markov Model, Hidden Markov Model (HMM), Variable order Markov model (VMM). Keywords: VANET, MANET, ITs, GPS, HMM, VMM, PST