In this paper, we shall work with prime numbers in such a way that they can be extended by inserting digits in repeated ways, and still it continues prime numbers. These types of prime numbers called "Patterns in Prime Numbers". The repetition of digits are with one, two, three, four, five and six digits. This … Continue reading Patterns in Prime Numbers: Fixed Digits Repetitions

# Month: February 2017

# Same Digits Equality Expressions

This work brings numbers in such a way that both sides of the expressions are with same digits. One side is numbers with power, while other side just with numbers, such as, a^b+c^d+... = ab+cd+..., etc. The the expressions studies are with positive and negative signs. Work is done for two to ten terms expressions, divided … Continue reading Same Digits Equality Expressions

# Magic Squares with Perfect Square Number Sums

This short paper shows how to create magic squares in such a way that total sum of their numbers becomes a perfect square. This has been done in two ways: Firstly, Take the sum of odd numbers, and secondly, take the numbers in a sequential way. In the first case, for all orders of magic … Continue reading Magic Squares with Perfect Square Number Sums

# Publications in Journals

2013 I.J. TANEJA (2013), Nested Inequalities Among Divergence Measures, Appl. Math. Inf. Sci. 7, No. 1, 49-72. I.J. TANEJA (2013), Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures, Information, 4, 198-239. I.J. TANEJA (2013), Generalized Symmetric Divergence Measures and the Probability of Error, Communications in Statistics—Theory and Methods, 42, 1654–1672. 2012 I.J. TANEJA (2012), … Continue reading Publications in Journals

# Papers in Conference Proceedings

T. SILVA, E. ERN and I.J. TANEJA (2010): Training Teachers in Physics at Distance: An Overview of a Course in Brazil, International Association for the Scientific Knowledge, Teaching and Learning Programme, Sevillia, Espanha, Novembro 29 - Dezembro, 01, 582-587. I.J. TANEJA, L. PARDO, J.A. PARDO and M.L. MENEDEZ (1991): Generalizations of Information Divergence, Proceedings of … Continue reading Papers in Conference Proceedings

# Magic Squares

2017 I.J. TANEJA (2017), Magic Squares with Perfect Square Number Sums, Research Report Collection, Vol. 20, Article 11, pp.1-24, http://rgmia.org/papers/v20/v20a11.pdf. I.J. TANEJA (2017), Magic Square Type Extended Row Palprimes of Orders 5x5 and 7x7, Research Report Collection, Vol. 20, Art. 21, pp. 1-69, http://rgmia.org/papers/v20/v20a21.pdf. I.J. TANEJA (2017), Magic Square Type Symmetric and Embedded Palprimes of … Continue reading Magic Squares

# Recreation in Numbers

2018 I.J. TANEJA, Crazy, Selfie, Fibonacci, Triangular, Amicable Types Representations of Numbers, RGMIA Research Report Collection, 21(2018), Art. 3, pp. 1-140, http://rgmia.org/papers/v21/v21a03.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values - I, RGMIA Research Report Collection, 21(2018), Art. 6, pp. 1-115, http://rgmia.org/papers/v21/v21a06.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal … Continue reading Recreation in Numbers

# Books Publications

I.J. TANEJA, Maple V: Uma Abordagem Computacional no Ensino de Cálculo, Ed. UFSC, Florianópolis, SC, 1997. I.J. TANEJA, "Mathematica" no Ensino de Cálculo: Uma Abordagem Computacional, On-line: http://www.mtm.ufsc.br/~taneja/MATREDE/Math0/Sumario1.html I.J. TANEJA, Generalized Information Measures and Their Applications, On-line book: http://www.mtm.ufsc.br/~taneja/book/book.html, 2001. I.J. TANEJA, Matrices and Maple, On-line: http://www.mtm.ufsc.br/~taneja/MatMap/index.html

# Chapter Publications in Book Series

I.J. TANEJA (2018), Refinement of Generalized Mean Inequalities and Connections with Divergence Measures, Chapter in: Advances in Imaging and Electron Physics, Elsvier Inc. (USA), 207, 73-249. I.J. TANEJA (2017), Information Measures, Mean Differences, and Inequalities, Chapter in: Advances in Imaging and Electron Physics, Elsevier Inc. (USA), 201, 137-260. I.J. TANEJA (2005), On Symmetric and Nonsymmeric … Continue reading Chapter Publications in Book Series

# Multi-Digits Magic Squares

In this work, magic squares are written in multi-digits formats. In some situations, different digits are considered according to order of magic squares. Magic squares related to combination with repetitions are also considered. In each case study is extended to palindromic magic squares. Full Work: Multi-Digits Magic Squares

# Intervally Distributed Magic Squares With Properties

This work brings magic squares contructed based on intervally distributed numbers. It has been done in different form, such as, using pairwise mutually orthogonal Latins quares, self-orthogonal diagonalized Latin squares, block-wise compositions, etc. Work is divided in three parts: first from order 3 to 10, second from 11 to 20 and third from 21 to 25. … Continue reading Intervally Distributed Magic Squares With Properties

# Selfie Palindromic Magic Squares

This work deals with Selfie palindromic magic squares. By Selfie magic squares, it is understood that the magic squares are upside down, mirror looking and having the same magic sums. Results are obtained for the orders 3x3, 4x4, 5x5, 8x8 and 9x9. In case of 8x8, the results are semi-bimagic and for 9x9 the results … Continue reading Selfie Palindromic Magic Squares