On discreteness of subgroups of quaternionic hyperbolic isometries

Let ${{\bf H}_{\mathbb H}}^n$ denote the $n$-dimensional quaternionic hyperbolic space. The linear group ${\rm{Sp}}(n,1)$ acts by the isometries of ${{\bf H}_{\mathbb H}}^n$. A subgroup $G$ of ${\rm {Sp}}(n,1)$ is called \emph{Zariski dense} if it does not fix a point on ${{\bf H}_{\mathbb H}}^n \cup \partial {{\bf H}_{\mathbb H}}^n$ and neither it preserves a totally geodesic subspace of ${{{\bf H}}_{\mathbb H}}^n$. We prove that a Zariski dense subgroup $G$ of ${\rm{ Sp}}(n,1)$ is discrete if for every loxodromic element $g \in G$ the two generator subgroup $\langle f, g f g^{-1} \rangle$ is discrete, where the generator $f \in {\rm{Sp}}(n,1)$ is certain fixed element not necessarily from $G$.Comment: Reformatted, adding new result, and removing some. Removed parts will be subsumed elsewher

Essential oil composition and antimicrobial activity of Lobelia pyramidalis Wall

The essential oil of Lobelia pyramidalis was analyzed by GC and GC-MS. A total of 21 con-stituents comprising 77.88 % of the total oil were identified. Perilla ketone constituted 25.61 % of the oil followed by camphorquinone (12.16 %), dibutyl phthalate (10.66 %) and allyl nonanoate (8.47 %). The antimicrobial activity of the oil was evaluated using the disc diffusion method and the microdilution technique. The results showed that the oil exhibited moderate antimicrobial activity

Paroxysmal Visual Phenomenon: A Rare and Confusing Manifestation of Occipital Neurocysticercosis in Children

We report a child with occipital inflammatory granuloma of neurocysticercosis who presented with paroxysmal visual phenomenon and discuss its differentiation from migraine aura. Occipital seizures due to neurocysticercosis must be considered in the differential diagnosis of visual hallucinations in children in endemic areas

Super-resolution and super-sensitivity of quantum LiDAR with multi-photonic state and binary outcome photon counting measurement

Here we are investigating the enhancement in phase sensitivity and resolution in Mach-Zehnder interferometer (MZI) based quantum LiDAR. We are using multi-photonic state (MPS), superposition of four coherent states [1], as the input state and binary outcome parity photon counting measurement and binary outcome zero-nonzero photon counting measurement as the measurement schemes. We thoroughly investigate the results in lossless as well as in lossy cases. We found enhancement in resolution and phase sensitivity in comparison to the coherent state and even coherent superposition state (ECSS) based quantum LiDAR. Our analysis shows that MPS may be an alternative nonclassical resource in the field of quantum imaging and quantum sensing technologies, like in quantum LiDAR.Comment: We welcome comment

Design and Simulation of Soft Switching Boost Converter for Photovoltaic System

India is among leading power producing countries but still we have an unreliable and inefficient electrical infrastructure. Photovoltaic power generation can be helpful to meet the requirements of electricity demand. In order to increase efficiency of PV system a soft-switching boost converter is adopted, which consists of an auxiliary resonant circuit having an auxiliary switch, two diodes with a resonant capacitor and a resonant inductor. This model of converter can supply 60 W to load. Since hard switching generates losses during turn on and turns off but in the proposed converter circuit Zero Voltage Switching operation is performed by resonant capacitor at turn-off condition and Zero Current Switching operation by resonant inductor at turn-on. The chosen converter reduces switching loss as well as voltage and current stress across the devices due to this the efficiency of converter increases. As designed converter is operated at high frequency, so small size of inductors and capacitors are required, this reduces size of converter. Incremental Conductance algorithm is used to achieve maximum power from PV module .The proposed converter and inverter circuit are simulated in Psim9.0 with PV and Maximum Power Point Tracking and theoretical analysis is verifie

CLINICAL EVALUATION OF AYURVEDIC FORMULATION OF COLICARMIN PLUS SYRUP ON COLIC, GRIPING PAIN, INDIGESTION, NAUSEA, VOMITING, AND OTHER DIGESTIVE DISORDERS IN PAEDIATRICS AND GERIATRICS PATIENTS.

ABSTRACTObjective: An open label study to assess the effect of colicarmin plus syrup on colic and griping pain, indigestion, nausea and vomiting in children,and geriatric patients.Methods: (a) A study was conducted on 75 number of patients to evaluate the effect of colicarmin plus syrup on colic and griping pain, indigestion,nausea and vomiting in children, and adults, (b) mostly these children were selected from different classes of families, (c) all the patients were checkedon the 1st, 2nd, and 3rd week after starting the therapeutic dose.Dosage schedule: (a) Children: 1 Teaspoonful thrice a day after meals, (b) adults: 2 Teaspoonful twice to thrice a day after meals.Results: (a) Colic and griping pain: In the total duration of treatment, no of patients recovering were 23-on 1st week, 4-on 2 week,overall result is 93.54%, (b) indigestion: In the total duration of treatment, no of patients recovering were 26-on 1stnd week, and 3-on 3 week, 3-on 2 week, and 1-on3rd week, the overall result is 93.75%, (c) nausea and vomiting: In the total duration of treatment, no of patients recovering were 8-on 1 week, 2-on2nd week, and 1-on 3rd week, the overall result is 91.33%.Conclusion: Based on the study, we can conclude that colicarmin plus syrup is an Ayurvedic formulation with benefits such as digestive, carminative,anthelmintic, antiflatulent, antispasmodic, and devoid of side effects.Keywords: Digestive, Carminative, Anthelmintic, Antiflatulent and Antispasmodic.ndstr

Integrity Estimation Model: Fault Perspective

An integrity estimation model for object oriented design fault perspective has been proposed in this paper. Integrity has been recognized as a major factor to software security, an importance is being drawn to measure integrity early in development life cycle. No such model has been available in the literature that estimates security of object oriented design by taking fault parameters into consideration. A suit of design metrics useful in measuring integrity of software has been recognized. It becomes more significant in the case of object oriented design fault perspective. In this study a metrics based Integrity Estimation Model (IEMOODF) for object oriented design has been developed and justifying the correlation with the help of experimental tryouts. Finally the developed model ?Integrity Estimation Model? is empirically validated and contextual importance of the study shows the high correlation for proposed model acceptance