Effective Continued Fraction Dimension versus Effective Hausdorff Dimension of Reals

We establish that constructive continued fraction dimension originally defined using $s$-gales is robust, but surprisingly, that the effective continued fraction dimension and effective (base-$b$) Hausdorff dimension of the same real can be unequal in general. We initially provide an equivalent characterization of continued fraction dimension using Kolmogorov complexity. In the process, we construct an optimal lower semi-computable $s$-gale for continued fractions. We also prove new bounds on the Lebesgue measure of continued fraction cylinders, which may be of independent interest. We apply these bounds to reveal an unexpected behavior of continued fraction dimension. It is known that feasible dimension is invariant with respect to base conversion. We also know that Martin-L\"of randomness and computable randomness are invariant not only with respect to base conversion, but also with respect to the continued fraction representation. In contrast, for any $0 < \varepsilon < 0.5$, we prove the existence of a real whose effective Hausdorff dimension is less than $\varepsilon$, but whose effective continued fraction dimension is greater than or equal to $0.5$. This phenomenon is related to the ``non-faithfulness'' of certain families of covers, investigated by Peres and Torbin and by Albeverio, Ivanenko, Lebid and Torbin. We also establish that for any real, the constructive Hausdorff dimension is at most its effective continued fraction dimension

Integrated Approach for Stabilisation of Varunavat Parvat Landslide – A Case Study

Uttarkashi Township, located on the toe of the Varunavat Parvat, in the State of Uttarakhand in North India is known for having a history of a number of natural disasters. One of such disaster was a major landslide on the slopes of the Varunavat Parvat, in the year 2003. There had been huge loss of property of residential complexes, office buildings, hotels and many other business apartments. The risk of further such slides continuously hovered over the town which was the serious concern of District and State Authorities. An integrated approach of long term stabilization measures with flattening of slopes with suitable berms, effective drainage arrangement (surface & sub-surface), suitable erosion control measures , multistage protection measures by providing catch pits, wide platforms, retaining walls and construction of tunnel on the national highway for mitigating the rock fall hazards are being adopted, to minimize the impact of disaster in future so that people of Uttarkashi Town can live safely without fear. The paper highlights the description of the problem, probable causes of the Landslide, Geology of the area, stability analysis, measures adopted for averting future landslide and subsequent rock fall hazard

Initial Filling of Tehri Reservoir — Analysis of Seepage Data

Initial Filling of reservoirs in dams, particularly the embankment type, is a very important phase as unusual behaviour / accidents of many dams have been reported during this period. A regular observation / analysis of quantum of seepage vis-à-vis the reservoir level is a significant activity so that any serious development inside the body of dam and foundation / abutments rocks are revealed in advance and remedial measures are taken up timely to prevent catastrophic failures. At Tehri, a 260.5m high earth & rockfill dam has been constructed across river Bhagirathi, a tributary of mighty river Ganga in India. Seepage discharge data of first two years of Initial Filling of Tehri reservoir has been analysed, which has led to a few important conclusions. The Analysis of Seepage data for the Initial Filling of Tehri reservoir is presented in the paper

Initial Filling of Tehri Reservoir — Analysis of Seepage Data

Initial Filling of reservoirs in dams, particularly the embankment type, is a very important phase as unusual behaviour / accidents of many dams have been reported during this period. A regular observation / analysis of quantum of seepage vis-à-vis the reservoir level is a significant activity so that any serious development inside the body of dam and foundation / abutments rocks are revealed in advance and remedial measures are taken up timely to prevent catastrophic failures. At Tehri, a 260.5m high earth & rockfill dam has been constructed across river Bhagirathi, a tributary of mighty river Ganga in India. Seepage discharge data of first two years of Initial Filling of Tehri reservoir has been analysed, which has led to a few important conclusions. The Analysis of Seepage data for the Initial Filling of Tehri reservoir is presented in the paper

Effect of substrate on physical properties of pulse laser deposited ZnO thin films

ZnO is a II-VI group semiconductor material with a large direct band gap. Zinc oxide films are prepared by Pulse Laser Deposition (PLD) technique on to highly cleaned glass, ITO coated glass and Si (100) substrates. The as-prepared films are characterized by optical absorption and transmission spectra and X-Ray Diffraction (XRD) patterns. The absorption spectra and transmission spectra of the deposited ZnO films are taken from UV-VIS-NIR Spectrophotometer at room temperature. The band gap of the ZnO film is determined from absorption measurements using Tauc relation for direct band gap materials while optical constants of the ZnO film are determined from transmission measurements by Manifacier&apos;s envelope method. The effect of lattice mismatching between the lattices of the substrate and of the deposited material on the structural properties and crystallite size of the deposited films are studied using XRD patterns of ZnO films

Partial uterine perforation and ovarian embedment of misplaced intrauterine device: a case report

Intrauterine devices (IUDs) are the commonest form of contraceptive method in use globally. IUDs like other methods of contraception may be associated with its own complications. The major risk includes uterine perforation with embedment, migration, and/or expulsion. A 35 year old female who had a history of postpartum IUD insertion 10 years ago was referred to our institute with complains of severe lower abdominal pain and vomiting since 10 days. Transabdominal and transvaginal ultrasound (TAS/TVS) were done. Ultrasound led to the final diagnosis of ovarian embedment of the IUD. Laparotomy with IUD removal was successfully performed. This case report highlights one of the rare complications of IUD migrating to the left ovary in a patient presenting with lower abdominal pain. In a patient with history an IUD insertion in situ, lower abdominal pain and missing threads on examination should wary the gynaecologist to the possibility of total or partial transmigration of the device into the pelvis or abdomen

An Ensemble Approach for Annotating Source Code Identifiers with Part-of-speech Tags

This paper presents an ensemble part-of-speech tagging approach for source code identifiers. Ensemble tagging is a technique that uses machine-learning and the output from multiple part-of-speech taggers to annotate natural language text at a higher quality than the part-of-speech taggers are able to obtain independently. Our ensemble uses three state-of-the-art part-of-speech taggers: SWUM, POSSE, and Stanford. We study the quality of the ensemble\u27s annotations on five different types of identifier names: function, class, attribute, parameter, and declaration statement at the level of both individual words and full identifier names. We also study and discuss the weaknesses of our tagger to promote the future amelioration of these problems through further research. Our results show that the ensemble achieves 75\% accuracy at the identifier level and 84-86\% accuracy at the word level. This is an increase of +17\% points at the identifier level from the closest independent part-of-speech tagger

MycoRRdb: A Database of Computationally Identified Regulatory Regions within Intergenic Sequences in Mycobacterial Genomes

The identification of regulatory regions for a gene is an important step towards deciphering the gene regulation. Regulatory regions tend to be conserved under evolution that facilitates the application of comparative genomics to identify such regions. The present study is an attempt to make use of this attribute to identify regulatory regions in the Mycobacterium species followed by the development of a database, MycoRRdb. It consist the regulatory regions identified within the intergenic distances of 25 mycobacterial species. MycoRRdb allows to retrieve the identified intergenic regulatory elements in the mycobacterial genomes. In addition to the predicted motifs, it also allows user to retrieve the Reciprocal Best BLAST Hits across the mycobacterial genomes. It is a useful resource to understand the transcriptional regulatory mechanism of mycobacterial species. This database is first of its kind which specifically addresses cis-regulatory regions and also comprehensive to the mycobacterial species. Database URL: http://mycorrdb.uohbif.in