General Mathematics

1306 Submissions

[3] viXra:1306.0032 [pdf] submitted on 2013-06-06 10:22:14

Sequences of Pentagonal Numbers

Authors: Arun S. Muktibodh
Comments: 7 Pages.

Shyam Sunder Gupta [3] has dened Smarandache consecutive and reversed Smarandache sequences of triangular numbers. Delm F.M.Torres and Viorica Teca [1] have further investigated these sequences and dened mirror and symmetric Smarandache sequences of triangular numbers making use of Maple system. Working on the same lines we have de- ned and investigated consecutive, reversed, mirror and symmetric Smarandache sequences of pentagonal numbers of dimension 2 using the Maple system .
Category: General Mathematics

[2] viXra:1306.0029 [pdf] replaced on 2014-03-22 02:47:34

Chains of Smarandache Semifields

Authors: A.S.Muktibodh, Y.M. Wagh
Comments: 4 Pages.

In this paper we have constructed two chains of semifields. All semifieids in the chains are Smarandache semifields.
Category: General Mathematics

[1] viXra:1306.0009 [pdf] submitted on 2013-06-03 11:24:12

An Introduction to an Interesting Naturally Occurring Mathematical Pattern :Piitd Series

Authors: Jatin Patni
Comments: 4 Pages.

This paper introduces a sequence of real number that models a very frequently occurring natural pattern which is observed by everyone. The pattern it tries to model is the angle subtended on the eye of the observer standing at a distance from a long line of equally spaced objects. There are some interesting properties that are captured by this series. It finds a connection with modelling certain aspects of human psychology and can create interesting study areas like stock market price prediction, resource allocations, efficient search algorithms, time versus effort modelling etc.
Category: General Mathematics