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Level subsets and translations of QFST(G)
First, we introduce level subsets and translations of QFST(G) and study their properties. Secondly, we prove that the union and intersection of two-level subsets of QTST(G) are subgroups of G. Also we prove that translations of QTST(G) are also QFST(G). Finally, we define fuzzy image and fuzzy pre-image of translations of QFST(G) under group homomorphisms and anti group homomorphisms and investigate properties of them
The Basic Law of Dynamics and The Mach Principle
The dependences of inertial and gravimetric masses from each other are derived taking into account the response of the Universe to interacting bodies. It was found that the inertial mass depends not only on the size of the corresponding gravitational mass, but also on the force acting on the body, and the relations of the inert and gravitational masses depend not only on the force acting on the body, but also on the gravitational mass of this body. However, if instead of the ratio of inert and gravitational masses we choose the difference of the inverse values of these masses, the resulting formula turns out to be independent of the gravitational mass of the body. A formula for the basic law of dynamics is proposed taking into account the response of the Universe to interacting bodies in accordance with the Mach principle. It is shown that the error from the use of Newton’s second law without taking into account the response of the Universe to interacting bodies in many experiments can exceed the error caused by other factors
Capillary Waves Generated by a Rock in a Stream
This paper is concerned with capillary waves generated by a rock, or fishing line in a stream. It is found mathematicaly that the angle between the capillary wave envelope and the direction of a point source is dependent of the velocity, surface tension, and density of the fluid:
This angle increases with increasing the surface tension, but decreases with increasing the square of velocity and the density of fluid. These theoretical outcomes are consistent with the detailed behaviors of capillary waves observed in the natural running streams. To enhance the mathematical analyses on capillary waves generated by a fishing line with constant speed, the relevant non-dimensional parameters 1=Ut/r and
2=r3 /(t2 ) have derived based on the Buckingham -Theorem, where U the relative stream velocity, t the time, r the distance from the point source of wave generation, the surface tension, and the density of the fluid.
It has been confirmed by the present proposed approach that the angle between the gravity wave envelope and the direction of a duck or ship moving on the calm water surface is constant of 19.28 which agrees with the result obtained by “Thomson, W., 1887 On ship waves, Institution of Mechanical Engineers, Minutes of Proceedings, 409-434” and “Adam, J.A., 2003 Mathematics in nature: modelling patterns in the natural world, Princeton University Press, Princeton, 161-172”
Characteristics of Portland Cement Pastes Blended with Silica Nanoparticles
The effect of silica nanoparticles (SNP) addtion on the specific characteristics of Portland cement pastes was investigated. The results revealed that the addition of SNP to the fresh Portland cement pastes reduced both w/c ratio and setting times, but increased significantly the early age strength development. The presence of the water-reducing admixture (Na-lignosulphonate) further improved the wokability and performance of cement pastes.The replacing of SNP up to 1.5 wt. % at the expense of cemen improved and enhanced the combined water content, bulk density, total porosity and compressive strength at all curing ages of hydration. The cement mix incorporated 1.5 wt. % (Sn3) is considered to be the optimum cement patch, where it exhibited the best results and were becoming better and higher than those of the pure cement (Sn0) at all curing stages of hydration. With the addition of more than 1.5 wt. % SNP to the cement (Sn4 and Sn5), all cement properties were adversely affected. Therefore, the higher additions of NSP must be avoided
Antibacterial and cytotoxic activities of Areca catechu L. (betel nut)
The aim of the study was to evaluate the antibacterial and cytotoxic activities of acetone and ethanol extracts of A. catechu L. Antibacterial activity was tested against selected gram positive bacteria of Staphylococcus aureus, Micrococcus species and gram negative Pseudomonas aeruginosa, Salmonella typhi, Salmonella paratyphi, Escherichia coli, Vibrio cholera using well diffusion assay. Acetonic extract showed better antibacterial activity against E. coli (20.83 mm for 100 μl/well), S. typhi (20.17 mm for 100 μl/well), S. aureus (20.17 mm for 100 μl/well). The ethanolic extract showed better antibacterial activity against P. aeruginosa (18.17 mm for 100 μl/well), S. paratyphi (17.67 mm for 100 μl/well), Micrococcus species (19 mm for 100 μl/well). Minimal inhibitory concentration (MIC) and minimal bacterial concentration (MBC) values were determined by using broth macro dilution assay which supports antibacterial potency of the extracts. Cytotoxicity was determined by brine shrimp lethality assay: both extracts showed moderate cytotoxicity compared to vincristine sulphate (with LC50 of 0.99 μg/ml). The acetonic extract showed more cytotoxicity than the ethanolic extract with the LC50 values of 17.021 (μg/ml) and 20.136 (μg/ml). These findings are correlated with traditional medicinal uses of A. catechu and showed rationale for further investigation for screening out the possible bioactive constituents
Elementary School Size and Student Progress Differences by Ethnicity/Race:: A Multiyear, Texas Study
In this investigation, the degree to which student enrollment (i.e., school size) at elementary schools was related to student progress on the State of Texas reading and mathematics state-mandated assessments was examined for White, Black, and Hispanic students. Archival data available on the Texas Academic Performance Report were analyzed for the 2013-2014, 2014-2015, 2016-2017, and 2017-2018 school years. Inferential analyses revealed the presence of statistically significant differences, with below small to small effect sizes. Large-size schools had statistically significantly higher reading and mathematics progress rates than Small-size schools in 6 of the 9 analyses for White students. In 6 of the 9 analyses, school size was not related to student progress in reading or mathematics for Hispanic students. Small-size schools had statistically significantly higher progress rates in mathematics for Hispanic students than Moderate-size schools. Large-size, Moderate-size, and Small-size schools had similar progress rates in reading and mathematics for Black students in 8 of the 9 analyses. Implications for policy and practice, as well as recommendations for research, are provided.
Control Circuit Design of 7-Segment Common Cathode LED Display GPS Receiver Clock and Arduino Program
This paper newly designs the control circuit of the 7-segment common cathode LED display global positioning system (GPS) receiver clock and presents an Arduino sample program. The computer numerical control (CNC) router engraves the copper foil substrate to manufacture the printed wiring boards (PWBs) of the 7-segment common cathode LED display and its control circuits according to each G-code produced by the printed circuit board (PCB) design software Target3001! For each segment of the 7-segment common cathode LED display circuit, the two LEDs are connected in series. From an experiment, the two N-Channel metal-oxide-semiconductor field-effect transistors (MOSFETs) EKI04047, one at the high side and the other at the low side around the two LEDs, do not light on the two LEDs connected in series at all, unlike the case of the two LEDs connected in parallel. For this reason, upon lighting on/off the LEDs, this paper, newly, proposes the switching on/off control circuit with the optical relays at the high and low sides around the two LEDs connected in series
Phytopharmacognostic, Antibacterial Activity of Different Extract of Terminalia Arjuna Roxb Leaves
The wealth of India is stored in the broad natural flora which has been gifted to her. Endowed with a variety of agro-climatic conditions, India is a virtual herbarium of the world. The importance of medicinal and aromatic plants has been emphasized from time to time. It is accepted that the drug of natural origin shall play an important role in health care, particularly in the rural areas of India. India is having a high knowledge of phototherapy from Ayurveda, and still, hundreds of potent drugs are yet to be evaluated scientifically. Keeping this in view, we reviewed one of the potential trees whose leaves and other parts also have a potent traditional application, but it has not been much studied.
Editorial for volume 6 (2020)
On behalf of the Editorial Board, it is with great pride and sincere privilege that I am writing this message to present the Special Volume 6 (2020) of the To Chemistry Journal. This volume is published in collaboration with the analytical Chemistry Teachers and Researchers Association (ACTRA) founded in the Year 2004
Enzyme Assisted Biodegradation of Direct Red 81 By Micrococcus Glutamicus NCIM 2168
Azo dyes have been extensively used in textile, pharmaceutical, paper, paint industries. The industries manufacturing dyes generate a large volume of water. Wastewater containing dyes in most of the cases is discharged into water bodies without any treatment or impartial treatment. This hampers not only flora and fauna of the aquatic ecosystem but showed adverse effects on human beings. Existing physical and chemical methods have their advantages and disadvantages. Biodegradation of dyes finds an eco- friendly process. In the present study, Micrococcus glutamicus NCIM 2168 was used for decolourization of the dye Direct Red 81. The isolate decolourized 98.54% of the dye at pH 6 and 28°C in 9 hours. Degradation of the dye was confirmed by the change in λmax of the decolorized sample. Confirmation of the degradation was done by HPLC and GCMS studies. Degradation was brought about by Oxidoreductases. Toxicity studies revealed nontoxic nature of the product. The culture was found to decolourise mixture of five dyes. Hence, the selected bacterial culture can be successfully used for the treatment of dye containing wastewate