The Zeta (ζ\zeta) Notation for Complex Asymptotes

Time Complexity is an important metric to compare algorithms based on their cardinality. The commonly used, trivial notations to qualify the same are the Big-Oh, Big-Omega, Big-Theta, Small-Oh, and Small-Omega Notations. All of them, consider time a part of the real entity, i.e., Time coincides with the horizontal axis in the argand plane. But what if the Time rather than completely coinciding with the real axis of the argand plane, makes some angle with it? We are trying to focus on the case when the Time Complexity will have both real and imaginary components. For Instance, if $T\left(n\right)=\ n\log{n}$, the existing asymptomatic notations are capable of handling that in real time But, if we come across a problem where,$T\left(n\right)=\ n\log{n}+i\cdot n^2$, where,$i=\sqrt[2]{-1}$, the existing asymptomatic notations will not be able to catch up. To mitigate the same, in this research, we would consider proposing the Zeta Notation ($\zeta$), which would qualify Time in both the Real and Imaginary Axis, as per the Argand Plane

Parametric optimalization of submerged fermantation conditions for xylanase production Bacillus cereus BSA1 through Taguchi Methodology

Extracellular xylanase production of Bacillus cereus BSA1 was optimized under submerged fermentation using Taguchi orthogonal array (OA). An L18 layout of OA was constructed at three-levels of six factors, i.e. temperature, pH, and xylan, Na2HPO4, NH4NO3 and NaCl concentrations, influencing the xylanase synthesis. The enzyme production was studied in 18 parallel batch systems using different levels of each factor. The results were processed with Qualitek-4 software using ‘bigger is better’ quality character, and combination of 35 oC; pH 6.0; and xylan 0.5; NH4NO3 0.5, Na2HPO4, 0.1; NaCl 0.05 concentrations (in w/v %) with a predictive xylanase production of 7.404 U/ml was obtained. Fermentation experiment was performed for further validating the statistical output, and it resulted 10.24% in the xylanase yield (from 6.44 U/ml to 7.10 U/ml) as compared to one variable at a time (OVAT) design. Interaction effects of the factors individually and in combination can be evaluated by using Taguchi method design of experiment

Study of indigenous freshwater fish diversity of Bankura (West Bengal), India with special reference to Clarias batrachus

A study was conducted to determine the ichthyofaunal diversity in Bankura district of West Bengal. The area is traversed by major and minor rivers, feeder channels, numerous ponds, bills, reservoirs which have made this drought-trodden district as the highest producer of aquatic products within the state. Field survey was conducted in randomly selected local markets covering twenty-two blocks of Bankura. Fish sampling was carried out using various conventional fishing gears. The entire region harbours a wide variety of aquatic fishes. A total number of 92 indigenous fish species belonging to 30 families were identified during this study. The Cyprinidae family dominated the population with its 36 varieties followed by Channidae, Siluridae and Bagridae. Sonamukhi block situated in Shali basin; Sarenga and Raipur of Kangsabati basin; Dwarkeshwar and seven bundhs- enriched Bishnupur were the major habitats of small indigenous fishes. This paper also denotes presence of 12 globally endemic freshwater fish species viz. Hypophthalmichthys molitrix, Cyprinus carpio, Labeo nandina, Tor khudree, Chitala chitala, Bagarius bagarius, Wallago attu, Ompok pabda, Ailia coila, Anguilla bengalensis, Parambassis lala, Oreochromis mossambicus. The substitution of native Clarias batrachus with invasive African catfish C. gariepinus was observed in various local markets. Some traders even promote illicit farming of this banned species for their own profit. As a consequence, the indigenous, nutritionally-enriched C. batrachus is becoming more endangered

Utajony fosfaturyczny guz mezenchymalny kory kości udowej powodujący osteomalację onkogenną — problemy diagnostyczne i skutki kliniczne

Background: Tumor induced osteomalacia (TIO) are extremely rare paraneoplastic syndrome with less than 300 reported cases. This report highlights the pitfalls and challenges in diagnosing and localizing TIO in patients with refractory and resistant osteomalacia. Patient and methods: 41- year gentleman with 4-year history of musculoskeletal weakness and pathologic fractures presented in wheelchair bound incapacitated state of 1-year duration. Investigations were significant for severe hypophosphatemia, severe phosphaturia, normal serum calcium, reduced 1,25-dihydroxy vitamin-D, elevated ALP, elevated intact parathyroid hormone (iPTH), and pseudo-fractures involving pelvis and bilateral femur. Whole body MRI and 99mTc methylene diphosphonate bone-scan were also normal. Whole body FDG-PET scan involving all 4 limbs revealed a small FDG avid lesion at lateral border of lower end of left femur (SUV max 3.9), which was well characterized on 3-dimensional CT reconstruction. Plasma C-terminal fibroblast growth factor (FGF)-23 was 698 RU/ mL (normal < 150 RU/ml). Wide surgical excision of the tumor was done. Histopathology confirmed mesenchymal tumor of mixed connective tissue variant. Serum phosphorous normalized post-surgery day-1. High dose oral calcium and vitamin-D was continued. FGF-23 normalized post surgery (73RU/ml). Physical strength improved significantly and now he is able to walk independently. Conclusion: TIO is frequently confused with normocalcemic hyperparathyroidism and vitamin-D resistant rickets/osteomalacia, which increases patient morbidity. Imaging for tumor localization should involve whole body from head to tip of digits, cause these tumors are notoriously small and frequently involve digits of hands and legs. Complete surgical removal of the localized tumor is key to good clinical outcomes.Wstęp: Osteomalacja wywołana obecnością guza (tumor-induced osteomalacia, TIO) to niezwykle rzadki zespół paraneoplastyczny. Opisano dotąd tylko niecałe 300 przypadków tego zespołu. W niniejszej pracy zwrócono uwagę na błędy i problemy przy diagnozowaniu i lokalizowaniu TIO u chorych z oporną na leczenie osteomalacją. Materiał i metody: W pracy przedstawiono przypadek chorego w wieku 41 lat, u którego od 4 lat występowały złamania patologiczne i osłabienie układu mięśniowo-szkieletowego prowadzące do niepełnosprawności, w wyniku czego chory od roku korzystał z wózka inwalidzkiego. W badaniach stwierdzono ciężką hipofosfatemię, ciężką fosfaturię, prawidłowe stężenie wapnia w surowicy, zmniejszo­ne stężenie witaminy 1,25-dihydroksy D, podwyższoną aktywność fosfatazy zasadowej, zwiększone stężenie parathormonu w postaci całkowitej cząsteczki (intact parathyroid hormone, iPTH) oraz złamania rzekome w obrębie miednicy i obu kości udowych. W badaniu MRI całego ciała oraz scyntygrafii kości z użyciem difosforanu metylenu znakowanego technetem 99mTc nie stwierdzono nieprawidłowości. W obrazie badania FDG-PET obejmującego wszystkie 4 kończyny zauważono niewielką zmianę o zwiększonym wychwycie FDG na bocznej powierzchni dolnego końca lewej kości udowej (SUV maks. 3,9), którą dobrze scharakteryzowano w trójwymiarowej rekon­strukcji CT. Stężenie C-końcowego peptydu czynnika wzrostu fibroblastów-23 (fibroblast growth factor-23, FGF-23) wynosiło 698 RU/ml (norma &lt; 150 RU/ml). Guz usunięto chirurgicznie z szerokim marginesem. W badaniu histopatologicznym potwierdzono rozpoznanie guza mezenchymalnego — wariant mieszanej tkanki łącznej. W pierwszym dniu po operacji stwierdzono normalizację stężenia fosforu w surowicy. Kontynuowano stosowanie dużych doustnych dawek wapnia i witaminy D. Również stężenie FGF-23 unormowało się po zabiegu (73 RU/ml). U chorego zwiększyła się siła fizycznej i obecnie może on chodzić samodzielnie. Wnioski: Osteomalacja wywołana obecnością guza (TIO) jest często mylona z normokalcemiczną nadczynnością przytarczyc i krzywicą/ osteomalacją oporną na leczenie witaminą D, co powoduje zwiększoną chorobowość pacjentów. Badania obrazowe w celu zlokalizowa­nia guza powinny obejmować całe ciało od czubka głowy po palce u stóp, ponieważ guzy te są zwykle małe i często umiejscawiają się w obrębie palców dłoni i stóp. Całkowite chirurgiczne usunięcie guza warunkuje uzyskanie dobrego efektu leczenia

Detection of anti-Mycobacterium avium subspecies paratuberculosis antibodies in thyroid and type-1 diabetes patients

49-52Mycobacterium avium subspecies paratuberculosis (MAP) causes granulomatous intestinal disease in animals (Johne’s diseases). MAP has also been associated with several autoimmune disorders. In this study, we screened serum samples from confirmed patients of thyroid and type 1 diabetes for the presence of antibody against MAP. We used newly developed 'cocktail ELISA' (based on recombinant secretary proteins) and extensively validated 'indigenous ELISA' (based on whole cell protoplasmic antigen) and both the tests were also compared for their diagnostic potential. A total of 90 serums samples were included of which anti-MAP antibodies was detected in 28.8% and 26.6% of samples by indigenous ELISA (iELISA) and cocktail ELISA (cELISA), respectively. There was almost perfect agreement between the two tests in detecting the anti-MAP antibodies. Study raises concern on high detection of anti-MAP antibodies in human, thus warranting necessary control measure to minimize MAP exposure in human beings

Science with the Daksha High Energy Transients Mission

We present the science case for the proposed Daksha high energy transients mission. Daksha will comprise of two satellites covering the entire sky from 1~keV to $>1$~MeV. The primary objectives of the mission are to discover and characterize electromagnetic counterparts to gravitational wave source; and to study Gamma Ray Bursts (GRBs). Daksha is a versatile all-sky monitor that can address a wide variety of science cases. With its broadband spectral response, high sensitivity, and continuous all-sky coverage, it will discover fainter and rarer sources than any other existing or proposed mission. Daksha can make key strides in GRB research with polarization studies, prompt soft spectroscopy, and fine time-resolved spectral studies. Daksha will provide continuous monitoring of X-ray pulsars. It will detect magnetar outbursts and high energy counterparts to Fast Radio Bursts. Using Earth occultation to measure source fluxes, the two satellites together will obtain daily flux measurements of bright hard X-ray sources including active galactic nuclei, X-ray binaries, and slow transients like Novae. Correlation studies between the two satellites can be used to probe primordial black holes through lensing. Daksha will have a set of detectors continuously pointing towards the Sun, providing excellent hard X-ray monitoring data. Closer to home, the high sensitivity and time resolution of Daksha can be leveraged for the characterization of Terrestrial Gamma-ray Flashes.Comment: 19 pages, 7 figures. Submitted to ApJ. More details about the mission at https://www.dakshasat.in

Effects of antiplatelet therapy on stroke risk by brain imaging features of intracerebral haemorrhage and cerebral small vessel diseases: subgroup analyses of the RESTART randomised, open-label trial

Background Findings from the RESTART trial suggest that starting antiplatelet therapy might reduce the risk of recurrent symptomatic intracerebral haemorrhage compared with avoiding antiplatelet therapy. Brain imaging features of intracerebral haemorrhage and cerebral small vessel diseases (such as cerebral microbleeds) are associated with greater risks of recurrent intracerebral haemorrhage. We did subgroup analyses of the RESTART trial to explore whether these brain imaging features modify the effects of antiplatelet therapy

Prevalence and factors associated with tuberculosis infection in India

Background: The risk of tuberculosis (TB) disease is higher in individuals with TB infection. In a TB endemic country like India, it is essential to understand the current burden of TB infection at the population level. The objective of the present analysis is to estimate the prevalence of TB infection in India and to explore the factors associated with TB infection. Methods: Individuals aged > 15 years in the recently completed National TB prevalence survey in India who were tested for TB infection by QuantiFERON-TB Gold Plus (QFT-Plus) assay were considered for this sub- analysis. TB infection was defined as positive by QFT-Plus (value > 0.35 IU/ml). The estimates for prevalence, prevalence ratio (PR) and adjusted risk ratio (aRR) estimates with 95% confidence intervals (CIs) were calculated. Results: Of the 16864 individuals analysed, the prevalence of TB infection was 22.6% (95% CI:19.4 −25.8). Factors more likely to be associated with TB infection include age > 30 years (aRR:1.49;95% CI:1.29–1.73), being male (aRR:1.26; 95%CI: 1.18–1.34), residing in urban location (aRR:1.58; 95%CI: 1.03–2.43) and past history of TB (aRR:1.49; 95%CI: 1.26–1.76). Conclusion: About one fourth (22.6%) of the individuals were infected with TB in India. Individuals aged > 30 years, males, residing in urban location, and those with past history of TB were more likely to have TB infection. Targeted interventions for prevention of TB and close monitoring are essential to reduce the burden of TB in India

FungalTraits:A user-friendly traits database of fungi and fungus-like stramenopiles

The cryptic lifestyle of most fungi necessitates molecular identification of the guild in environmental studies. Over the past decades, rapid development and affordability of molecular tools have tremendously improved insights of the fungal diversity in all ecosystems and habitats. Yet, in spite of the progress of molecular methods, knowledge about functional properties of the fungal taxa is vague and interpretation of environmental studies in an ecologically meaningful manner remains challenging. In order to facilitate functional assignments and ecological interpretation of environmental studies we introduce a user friendly traits and character database FungalTraits operating at genus and species hypothesis levels. Combining the information from previous efforts such as FUNGuild and Fun(Fun) together with involvement of expert knowledge, we reannotated 10,210 and 151 fungal and Stramenopila genera, respectively. This resulted in a stand-alone spreadsheet dataset covering 17 lifestyle related traits of fungal and Stramenopila genera, designed for rapid functional assignments of environmental studies. In order to assign the trait states to fungal species hypotheses, the scientific community of experts manually categorised and assigned available trait information to 697,413 fungal ITS sequences. On the basis of those sequences we were able to summarise trait and host information into 92,623 fungal species hypotheses at 1% dissimilarity threshold