Markham College of Commerce caters to the educational needs of students in Hazaribag district in India. It initiated commerce teaching up to degree level in its North Chotanagpur headquarters.It was founded on February 10, 1974 by B. D. Jaiswal.It was named after educationist Arthur Francis Markham who came to India with his goal to make higher education to the students of the area.Markham was ordained with the Order of British Empire. He later became the Vice Chancellor of the Ranchi University. Even after his retirement, he remained engaged with the students. In 1974, the first session of Intermediate Arts and Commerce was started. Three years later, Ranchi awarded affiliation for the subjects Hindi, English, Sanskrit, History, Economics, Political Science, Philosophy and Commerce up to degree level.At the time of foundation, Dr. Maheshwar Tiwari, who as a founder Principal and in charge of the college took a noble initiative with a short but dedicated team consisting of Prof. Shashi Kishore Narayan ( Deptt. Of Pol. Sc), Prof. Heyat Ahmed (Deptt.Of History), Prof. Sabita Banerjee (Deptt.Of Philosophy), Prof. Aparna Banerjee (Deptt. of Sanskrit), Prof. Nitay Nand Choudhary (Deptt. of Commerce).Sri Kameshwar Upadhyay (Deptt. of Eco), In spite of financial constraints that this college had to face for years together during its neo-natal period, the love and patronage that this institution received from the students and their guardians culminated in its ever-glowing growth and today it boasts of providing education to over eight thousand students annually on an average with 80% success rate.Later Dr. Sheo Dayal Singh joined this college as the Principal and his contribution gave solid and firm foundation to this college. It was at his initiation that the college was shifted to the present premises of ‘Nanda Bhawan’ on the Barkagaon Road, in the year 1979. His services made an indelible imprint on the academic canvas of not only of this college but of North Chhotanagpur as well. Later Sri Binod Kumar Sharan (Deptt. Of English), Dr. Shambhu Nath Mishra (Deptt. of Sanskrit), Sri Gopal Krishna Sinha (Deptt.Of Philosophy), Sri Rajeev Nayan Sinha (Deptt. of Commerce) joined this college and contributed their services. The college as per decision of the Govt., converted into a constituent unit, on 31 October 1986 during the tenure of late Lambodar Pathak as the secretary.Though surrounded by a financially deprived tribal, SC & OBC population the college had a dedicated team and today it is the Alma Mater of a galaxy of financial administrators, chartered accountants, doctors, engineers, civil servants, bank personnel, military, para-military and police officials among its students alumni.As of today, the college is having a good Library with approximately 12000 titles, 42 lecture theaters, teacher's common room, a spacious multipurpose hall named ‘Swami Vivekanand Sabhagar’ that can accommodate some 2000 persons at a time.To cater the Vocational aspirations of the Students, the college started Bachelor course in Taxation Laws and Practices (TLP), Bachelor of Journalism & Mass Communication (BJMC), Medical Lab Technology (MLT) from 2009. Besides the above noted Vocational courses, Nalanda Open University (NOU) is having its full-fledged branch in this college campus. It is offering distance education to the students of whole Chhotanagpur region.The college also houses a full-fledged Nationalized Bank (United Bank of India) in its premises to facilitate its students, teachers and the non-teaching staff. The college also has NCC, NSS (Two units) Athletics and cultural wings. Today it feels privileged being the honored recipient of a number of prizes awarded at University, Inter University, State & National levels.Most of the teachers are honored with Ph. D. Degree. Two teachers have completed Minor Research Project under University Grant Commission (UGC). Two teachers have been honored with best teachers award by the HRD, Govt. of Jharkhand. Good number of teachers had attended International, National and State conferences. Some important and valuable books have published by the teachers along with the publication of many articles in reputed National & International Journals. In University system the teachers of this college have contributed at every sphere.Thus the emblem of the college "SA VIDYA YA VIMUKTAYE" i.e. real education is freedom from ‘bondage’ is really visualized in the alumni that this college produces every year and the college fraternity are working day in and day out bringing freedom from the bondage of ignorance to the ever aspiring youths leading them towards a blissful blessed life..
In this paper, a pair of quadratic-phase Hankel transformations are discussed on certain Zemanian-type spaces. Some estimates of quadratic-phase Hankel (QPH) translation and convolution are obtained. Moreover, two versions of pseudo-differential operators (p.d.o.) associated with quadratic-phase Hankel transformations are defined on some spaces. Furthermore, we have discussed the integral representation of the p.d.o. Using the quadratic-phase Hankel convolution it is shown that p.d.o. satisfy some norm inequalities. Finally, these Hankel-type transformations are utilized to solve some partial differential equations.
In this paper, we construct a new wavelet transform in the framework of the quadratic-phase Hankel transform. Further, we establish the Parseval’s relation and reconstruction formula of continuous quadratic-phase Hankel wavelet transform.
Wave packets are a mathematical tool used in signal processing and data analysis, extending the concept of wavelets by offering a more flexible decomposition of signals. The main goal of this paper is to construct the wave packet transformation in terms of quadratic-phase Hankel transformation and discuss some of its basic properties. An inversion formula for quadratic-phase wave packet transformation is also obtained. Some examples are given.
Pandemic COVID-19 which has infected more than 35,027,546 people and death more than 1,034,837 people in 235 countries as on October 05, 2020 has created a chaos across the globe. In this paper, we develop a compartmental epidemic model to understand the spreading behaviour of the disease in human population with a special case of Bhilwara, a desert town in India where successful control measures TTT (tracking, testing and treatment) was adopted to curb the disease in the very early phase of the spread of the disease in India. Local and global asymptotic stability is established for endemic equilibrium. Extensive numerical simulations with real parametric values are performed to validate the analytical results. Trend analysis of fatality rate, infection rate, and impact of lockdown is performed for USA, European countries, Russia, Iran, China, Japan, S. Korea with a comparative assessment by India. Kruskal - Wallis test is performed to test the null hypothesis for infected cases during the four lockdown phases in India. It has been observed that there is a significant difference at both 95% and 99% confidence interval in the infected cases, recovered cases and the case fatality rate during all the four phases of the lockdown.
New diseases have always been part of humanity’s world, and some of them had created severe threat to human kind and challenge to the researchers and medical practitioners. The deadly novel coronavirus SARS-CoV-2 (severe acute respiratory syndrome- coronavirus -2) said to be COVID-19, the name given by WHO on February 11, 2020, is presently the most disastrous infectious disease. In the present paper our basic objective is to assess the risk of spreading the disease in human population and is measured in terms of probability. The proposed stochastic models help us to understand the probability of infection to n number of customers when these customers have spent time t in any system, say, shopping mall or public transportation or restaurant. Stochastic models are developed with arrival rate of the customers towards the system to be considered as a Poisson distribution and service time following an exponential distribution. A special case of cardiac centre is considered in this paper, where the risk of COVID-19 is highly contagion, with limited number of beds and doctors.
