Transformation formula for the Reduced Bergman kernel and its Application

In this article, we prove the transformation formula for the reduced Bergman kernels under proper holomorphic correspondences between bounded domains in the complex plane. As a corollary, we obtain the transformation formula for the reduced Bergman kernels under proper holomorphic maps. We also establish the transformation formula for the weighted reduced Bergman kernels under proper holomorphic maps. Finally, we provide an application of this transformation formula.Comment: 11 page

Large Intraosseous Haemangioma of the Sacral Vertebra: The radiological imaging findings

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Syntheses and antimicrobial activities of 2, 3-disubstituted-4-thiazolidinone derivatives

Ten new 4-thiazolidinone derivatives have been synthesized from the alkanoic acids. Alkanoic acid hydrazides (I) on refluxing with aromatic aldehydes in the presence of a catalytic amount of glacial acetic acid in methanol furnish corresponding hydrazones (II). Thioglycolic acid react with (II) in methanol yield the title compounds (III). These 4-thiazolidinone derivatives were characterized by CHN analysis, IR and 1H NMR spectral data. All the compounds were evaluated for their in vitro antimicrobial activity against two Gram negative strains (Escherichia coli and Pseudomonas aeruginosa) and two Gram positive strains (Bacillus subtilis and Staphylococcus aureus) and fungal strain Candida albicans and Aspergillus niger. All newly synthesized compounds exhibited promising results.Colegio de Farmacéuticos de la Provincia de Buenos Aire

Privacy-Preserving Gaze Data Streaming in Immersive Interactive Virtual Reality:Robustness and User Experience

Eye tracking is routinely being incorporated into virtual reality (VR) systems. Prior research has shown that eye tracking data, if exposed, can be used for re-identification attacks [14]. The state of our knowledge about currently existing privacy mechanisms is limited to privacy-utility trade-off curves based on data-centric metrics of utility, such as prediction error, and black-box threat models. We propose that for interactive VR applications, it is essential to consider user-centric notions of utility and a variety of threat models. We develop a methodology to evaluate real-time privacy mechanisms for interactive VR applications that incorporate subjective user experience and task performance metrics. We evaluate selected privacy mechanisms using this methodology and find that re-identification accuracy can be decreased to as low as 14% while maintaining a high usability score and reasonable task performance. Finally, we elucidate three threat scenarios (black-box, black-box with exemplars, and white-box) and assess how well the different privacy mechanisms hold up to these adversarial scenarios. This work advances the state of the art in VR privacy by providing a methodology for end-to-end assessment of the risk of re-identification attacks and potential mitigating solutions

Direction Dependence in Supernova Data: Constraining Isotropy

We revise and extend the extreme value statistic, introduced in \cite{gup08}, to study directional dependence in the high redshift supernova data; arising either from departures from the cosmological principle or due to direction dependent statistical systematics in e data. We introduce a likelihood function that analytically marginalises over the Hubble constant, and use it to extend our previous statistic. We also introduce a new statistic that is sensitive to direction dependence arising from living off-centre inside a large void, as well as previously mentioned reasons for anisotropy. We show that for large data sets this statistic has a limiting form that can be computed analytically. We apply our statistics to the gold data sets from \cite{rie04} and \cite{rie07}, as in our previous work. Our revision and extension of previous statistic shows that 1) the effect of marginalsing over Hubble constant instead of using its best fit value has only a marginal effect on our results. However, correction of errors in our previous work reduce the level of non-Gaussianity in the 2004 gold data that was found in our earlier work. The revised results for the 2007 gold data show that the data is consistent with isotropy and Gaussianity. Our second statistic confirms these results.Comment: 8 pages, 6 figures. Accepted for publication in MNRA

Synthesis and in vitro antimicrobial activity of novel hydrazide-hydrazone derivatives of dodecanoic acid

Six new dodecanoic acid hydrazide-hydrazones (compounds 4a–f), unsubstituted or carrying hydroxy, methoxy, nitro and chloro groups on the benzene ring, were synthesized and tested, in vitro, for their antimicrobial activity against two Gram negative bacteria strains (Escherichia coli and Pseudomonas aeruginosa) and two Gram positive bacteria strains (Bacillus subtilis and Staphylococcus aureus) and two fungal strains (Candida albicans and Aspergillus niger). The microbial screening results indicated that compounds having chloro and nitro substituents were the most active ones. These hydrazone derivatives were characterized by CHN analysis, IR, and 1H NMR spectral data. All newly synthesized compounds exhibited promising results.Colegio de Farmacéuticos de la Provincia de Buenos Aire

Urinary bladder paraganglioma: a clinical dilemma in diagnosis and management: our experience at a tertiary care center

Urinary bladder paraganglioma (UBP) are rare neuroendocrine tumors with variable biological behavior. High index of suspicion in the preoperative evaluation would enable the clinician to formulate appropriate management of the rare tumors. Clinical and pathological data of seven cases evaluated and treated as per a devised protocol for suspected bladder paraganglioma from 2008 to 2019 was retrospectively reviewed. Among the seven cases, UBP’s were predominantly seen in middle aged men. Most of these presented with storage symptoms (85.71%; n=7) and gross painless hematuria (42.85%; n=3). Three patients were hypertensives and post-micturition syncope was seen in two patients. Among the seven patients two patients had functionally active tumors confirmed by elevated urinary and serum markers for catecholamine excess. Functional tumors, nonfunctional tumors involving uretero-vesical junction or broad based polypoidal tumor were considered for partial cystectomy. Other small nonfunctional tumors underwent trans-urethral resection of bladder tumour (TURBT). Follow up protocol included repeat ultrasound, check cystoscopy and completion TURBT at one month and annually thereafter. Repeat urinary catecholamines at 1 month was done in functional UBP. Cystoscopic examination of a bladder lesion which are solid, sessile and predominantly intramural, a prior to a definitive planned surgery may differentiate UBP from urothelial cancer. Most of the non-functional UPB are diagnosed by histopathological examination.  In symptomatic cases, functional evaluation with biochemical estimation of catecholamine excess allow better treatment planning and avoiding intraoperative hemodynamic instability. Due to high recurrence rate life-long follow-up despite complete excision is strongly recommended

Single and Multiple Level One Stage Posterior Hemivertebrectomy and Short Segment Fixation: Experience with 22 Cases and Comparison of Single vs. Multilevel Procedures with Minimum 2-Year Follow-Up

Study DesignData of 22 patients with congenital scoliosis who underwent single stage posterior hemivertebrectomies and short segment fixation with a minimum follow-up of 2 years in our centre were studied retrospectively.PurposeTo report the efficacy of posterior hemivertebrectomy in single vs multiple level hemivertebra and compare their results.Overview of LiteratureSingle stage hemivertebrectomy is a standard procedure for single level hemivertebra. Results of multiple level hemivertebrectomies have not been reported.MethodsTwenty-two patients (9 male and 13 female) with the mean age of 11.2 years (range, 2 years 4 months to 24 years 10 months) and a mean follow up of 32 months (range, 4 to 73 months) were studied retrospectively and their results were compared.ResultsAverage number of hemivertebrae removed was 1.46 (range, 1 to 3). Mean preoperative and postoperative coronal cob angle was 48.7° (range, 22° to 80°) and 24.2° (range, 7° to 41°), respectively (p<0.001). Mean preoperative and postoperative sagittal cobb angle was 32.1° (range, 7° to 76°) and 13.6° (range, 0° to 23°), respectively (p<0.005). Mean coronal and sagittal cob correction percentage achieved was 50.2% and 51.8% respectively. Mean follow-up was 49 months (range, 30 to 84 months). Mean loss of coronal and sagittal correction at final follow-up was 4% (0% to 13.6%) degrees and 3.5% (0% to 20%), respectively.ConclusionsPosterior hemivertebrectomy in congenital scoliosis is a safe treatment option for up to 3-level hemivertebrae. Excision of thoracolumbar hemivertebrae results in better correction than thoracic and lumbar hemivertebrae