5,697 research outputs found
Teaching Differential Equations with Graphics and without Linear Algebra
We present our approach to teaching the Method of Eigenvectors to solve linear systems of ODEs without assuming a prerequisite course in Linear Algebra. Rather we depend heavily on a graphical approach to systems in two dimensions to motivate the eigenvalue equation
Security Assurance of REST API based applications
Security assurance is the confidence that a system meets its security requirements, based on specific evidences that an assurance technique provide. In this thesis, I have proposed a quantification method which aims to develop security assurance profiles by measuring the level of security of a REST API.
The notion of measuring security is complex and tricky, existing approaches are often based on manual review and time consuming tasks. In addition, there is little research work done on quantification of security assurance for REST APIs.
A common perspective has been to focus on the vulnerabilities of a system while security testing. However, security requirements are not tend to get enough attention during a security test. The main approach of this thesis was to look at both requirements and vulnerabilities to accomplish a level of security assurance.
Appropriate metrics were defined to reflect the \textit{requirement fulfillment} and the \textit{vulnerability presence}. The requirements were declared to be fulfilled if their associated security mechanisms were present. Vulnerabilities were on the other hand sorted into their relevant categories and assigned a risk score.
The security assurance metric was defined as an equation where the vulnerability metric was subtracted from the requirement metric.
The case studies were carried out at Statistics Norway, where the author is employed.
Analyzes showed that the API with the most security mechanisms implemented got a slightly higher security assurance score. This was due to the fact that the vulnerabilities were considered more harmful in one of the cases as the security objectives diverged.
The proposed quantification method can be re-used on any other domain, by altering the lists of requirements and vulnerabilities
A Comprehensive Study on Data Science and Its Practical Applications
Data science provides an environment to perform the discoveries like extracting a bit of new knowledge and learning from a large amount of data by using the concepts of statistics, computer science, applied mathematics, and visualization. It's a recently rising field that includes various activities, like data mining and data analysis. Data science can definitely increase value to business
Skew hook Schur functions and the cyclic sieving phenomenon
Fix an integer and a primitive root of unity
. We consider the specialized skew hook Schur polynomial
, where , for . We characterize the skew shapes for which the polynomial
vanishes and prove that the nonzero polynomial factorizes into smaller skew
hook Schur polynomials. Then we give a combinatorial interpretation of
,
for all divisors of , in terms of ribbon supertableaux. Lastly, we use
the combinatorial interpretation to prove the cyclic sieving phenomenon on the
set of semistandard supertableaux of shape for odd . Using a
similar proof strategy, we give a complete generalization of a result of
Lee--Oh (arXiv: 2112.12394, 2021) for the cyclic sieving phenomenon on the set
of skew SSYT conjectured by Alexandersson--Pfannerer--Rubey--Uhlin (Forum Math.
Sigma, 2021).Comment: 13 pages, 2 figure
Composition and Origin of Aerosols in Urban areas of India and Nepal
Air pollution in urban areas is a major health concern, with many cities experiencing levels of
pollutants that exceed recommended safety limits.This study, conducted in five mega cities of
India—Mohali, Delhi, Bhubaneswar, Kolkata—and Kathmandu in Nepal during February-March
2023, aimed to understand the contributions of various pollution sources to deteriorating urban
air quality. Aerosol samples were collected from these cities to analyze the specific pollutants
and their sources. Source apportionment studies identified that aerosol particles in these cities are
predominantly composed of crustal elements such as silicon (Si), calcium (Ca), titanium (Ti),
and iron (Fe). Significant concentrations of heavy metals, including chromium (Cr), nickel (Ni),
lead (Pb), and arsenic (As), indicate notable contributions from anthropogenic activities. High
levels of other inorganic elements, particularly sulfur (S) and chlorine (Cl), were detected across
all cities, pointing to widespread sources like industrial emissions, vehicular traffic, and
combustion processes. The study also revealed that PM2.5 concentrations in Kathmandu, Delhi,
and Bhubaneswar were persistently high throughout the observation period, frequently
surpassing 100 µg/m³, which is ten times the WHO recommended limit. Furthermore, black
carbon (BC) levels were notably elevated in Delhi and Kathmandu compared to the other cities.
Additionally, diurnal variability in aerosol concentrations was observed, with higher Cl-rich
factor values at night in Bhubaneswar and Delhi, and elevated dust concentrations at night in
Delhi, Kathmandu, and Bhubaneswar. These findings highlight the complex and varied
composition of urban aerosols, raising significant public health concerns and emphasizing the
need for targeted air quality management strategies. Understanding these variations is crucial for
developing effective measures to improve urban air quality
S. cerevisiae Bio-Ethanol Production as a Sustainable Energy Source
We rely on fossil fuels, which will be outdated in a few decades. Many people are looking for solutions to the current energy dilemma in renewable energy, notably biofuels. Among the various biofuels, bioethanol looks to be the most cost- So Saccharomyces cerevisiae is a well-known bioethanol producer. Yeast cells are stressed and inhibited during fermentation, limiting their efficiency for commercial bioethanol generation. Adopt alternative signal transduction mechanisms to defeat these yeast cells. This analysis focuses on common and underutilised carbon feedstocks that can be easily transformed into bioethanol. The several types of protectants, genes, and processes that may be used to design yeast strains are addressed. As a result, we\u27ve proposed techniques for using this profitable option for long-term bioethanol production
A study of adequacy of informed consent before caesarean section in a tertiary care hospital
Background: Informed consent is an ethical and legal requirement and is practiced before all the surgical procedures. Caesarean section is the commonest obstetric surgery so, this study was aimed to assess the adequacy of informed consent in patients who underwent caesarean section at SMGS Hospital, GMC, Jammu.Methods: A cross-sectional study was done. A total of 230 patients were included in the study. A pre-tested and pre-validated questionnaire was used for the study. The data were expressed as percentage of proportion.Results: 230 patients participated in the study. About 96.95% patients knew the name of the procedure. 91.73% patients were informed about the indication of the surgery. 95.21% of the patients were aware about the benefits of surgery and about 93.41% of the patients were knowing risks of surgery. About 83.04% patients were informed about the procedure of the surgery. About 94.78% and 94.34% of the patients were aware about the need for the blood transfusion and future pregnancy options. Only about 4.35% of the patients were informed about the requirement and type of anaesthesia. 22.18% of the patients knew about the choice for alternate procedure and merely 2.18% of the patients were informed about the right to refuse the procedure.Conclusions: It was found that majority of the patients were well informed about the procedure and the related consequences. Still we can improve some elements of the consent process which can be done by proper awareness and training of health care professionals
Indoor air pollution of PM2.5 in urban households of Jammu, (J&K)
The rising problem of Respirable Particulate Matter i.e. PM2.5 and smaller is catching attention of the policymakers, stakeholders as well as common man. The study of the IndoorPM2.5 of the particular area is very important as it is having direct impact on the human health because PM2.5is absorbed into lung alveolar tissues during breathing and causes respiratory and cardiovascular problems. In present study attempt has been made to assess the status of Indoor PM2.5 in Urban Households of Jammu, (J&K). The average indoor PM2.5 in all the sampled households of Jammu was observed to be 99.49±35.84 µg/m3 which is above the permissible limits of PM 2.5 as prescribed by CPCB. This type of study has been done for the first time in the northern region of India. The data generated in present study will act as base line data for further studies pertaining to its ionic analysis as well as suggesting mitigation measure
Seasonal variations of indoor aerosols (PM2.5) in urban households of Jammu (J&K), India
Indoor pollution is more harmful as people spend more than 90% of their time indoors getting enhanced chances of penetrating aerosols (PM2.5) deeply into the lungs. In the present investigation, an attempt has been made to study seasonal variations of indoor aerosols (PM2.5) in urban households of Jammu(J&K). in the northern region of India. The status of indoor aerosols (PM2.5) and their seasonal variations due to temperature and humidity conditions have been studied for the first time in urban households of Jammu (J&K). The two year study period (2017-2019.) revealed that all types of households of urban areas with non-wood fuel as well as wood fuel burning practices exhibited significantly (p<0.05) higher values of indoor PM 2.5 during summer season (74.36 µg/m3 and 156.46 µg/m3 ) followed by winter season (62.77 µg/m3  and 143.5µg/m3 ) and lower values during the rainy season (58.47 µg/m3 and 132.52 µg/m3 ). All these values were observed to be above the CPCB prescribed annual limit of 40 µg/m3, thereby exposing the residents to diseases of the respiratory and cardiovascular systems. The data generated in the present study will act as baseline data for future studies pertaining to indoor aerosols (PM2.5) as well as suggesting mitigation measures
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