Patterns in Prime Numbers: Fixed Digits Repetitions

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

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