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Category: Issue 5

K-Shell Ionization Cross Sections of Arsenic and Yttrium by electron impact

VINAY KUMAR
Deptt. Of Physics, J V College Baraut – 250611 (India)
SAKSHI CHAUDHARY
Deptt. Of Chemistry, D.N. College, Meerut-250001 (India)
YOGESH KUMAR
Deptt. Of Physics, D.A.V. College, Muzaffarnagar-251001 (India)
SACHIN KUMAR
Deptt. Of Physics, Meerut College, Meerut-250001 (India)

ABSTRACT:

The total cross sections for K-shell ionization of targets, Arsenic and Yttrium (i.e., As & Y), have been calculated due to electron impact at the incident electron energy from ionization threshold to 1 GeV by using the theoretical Khare method modified by Y Kumar et al.3. This method is based on plane wave Born approximation. The calculated cross sections have been compared with the available experimental data and other theoretical cross sections. The present calculated cross sections are in excellent agreement with measured by Merlet C. et al. 15 and Hoffmann et al.22 for As. A good agreement is found between the present calculations and measured Luo Z. et al.21, Ishii K. et al.23 for Y

KEYWORDS: Ionization cross section, Atoms, Electron impact, K-shell, PACS No u2014 34.80Dp


The total cross sections for K-shell ionization of targets, Arsenic and Yttrium (i.e., As & Y), have been calculated due to electron impact at the incident electron energy from...

(H,1)(E,1) Product Transform of Fourier Series and its Conjugate Series

1KUSUM SHARMA
Department of Mathematics, College of Arts, Science and Humanities, Mody University of Science & Technology, Lakshmangarh-332311
SUMAN
Department of Mathematics, College of Arts, Science and Humanities, Mody University of Science & Technology, Lakshmangarh-332311

ABSTRACT:

In this paper, we introduce the concept of (H, 1)(E, 1) product transform and obtained two quite new theorems on (H, 1)(E, 1) product transform of Fourier series and its conjugate series. Our result extends several known result on single summability methods.

KEYWORDS: (H, 1) Summability, (E, 1) Summability, Fourier series, Mathematics Subject Classification: 42B05; 42B08


TIn this paper, we introduce the concept of (H, 1)(E, 1) product transform and obtained two quite new theorems on (H, 1)(E, 1) product transform of Fourier series and...

Bayesian analysis of Word frequency distribution in context of Indian literature

VASTOSHPATI SHASTRI
DST-Centre of Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi (India)
RAKESH RANJAN
DST-Centre of Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi (India)
PRAVEEN KUMAR TRIPATHI
Department of Statistics, Banaras Hindu University, Varanasi (India)
S.K UPADHYAY,
Department of Statistics, Banaras Hindu University, Varanasi (India)

ABSTRACT:

This paper deals with the analysis of words from the text of an Indian author. The text of book is analysed and a frequency of noun words is formed. A suitable statistical model, Sichel distribution is fitted to the data and the fitting is found adequate. We have obtained maximum likelihood (ML) estimators and thereafter using flat prior posterior distribution is obtained. Using Metropolis algorithm we draw the posterior samples from which inference are drawn. In the discussion a European text is also compared and we have found that there is richness in Indian literature.

KEYWORDS: Word frequency, Sanskrit text, Sichel distribution, ML estimator, Bayesian Inference, Mathematics Subject Classification: 62F15, 62G07, 62-07.


This paper deals with the analysis of words from the text of an Indian author. The text of book is analysed and a frequency of noun words is formed....