This paper considers the following game on a hypercube, first suggested by Lagarias and Saks. Suppose 2 pebbles are distributed onto vertices of an n-cube (with 2 vertices). A pebbling step is to remove two pebbles from some vertex and then place one pebble at an adjacent vertex. The question of interest is to determine if it is possible to get one pebble to a specified vertex by repeatedly usi...

This study examines the mathematical characteristics of logistic, generalized logistic and Gompertz growth function used in human population analysis. When a is mathematically modeled, it starts with differential equations considered as preliminary study. Then, general solution equation derived. method followed by mathematicians who developed these models. To prepare for study, I framework obje...

Dedicated to the memory of my friend Boris Weisfeiler a remarkable man and mathematician.

We consider the problem of finding a low discrepancy coloring for sparse set systems where each element lies in at most t sets. We give an efficient algorithm that finds a coloring with discrepancy O((t log n)), matching the best known non-constructive bound for the problem due to Banaszczyk. The previous algorithms only achieved an O(t log n) bound. Our result also extends to the more general ...

We consider the problem of finding a low discrepancy coloring for sparse set systems where each element lies in at most t sets. We give an algorithm that finds a coloring with discrepancy O((t log n log s)) where s is the maximum cardinality of a set. This improves upon the previous constructive bound of O(t logn) based on algorithmic variants of the partial coloring method, and for small s (e....

In this paper, Gergely Kunt analyzes the collaborative diary writing of two preadolescent boys from the period of the Hungarian Revolution of 1956, during which they decided to act as reporters and writers to create their own chronicles of the events transpiring between October 1956 and March 1957. Twelve-year-old Gyula Csics and thirteen-year-old János Kovács were close friends and neighbors i...

Dedicated to the memory of my friend Boris Weisfeiler a remarkable man and mathematician.