In this article, we make use of some known method to investigate some properties of the numbers represented as sums of two equal odd powers, i.e., the equation x + y = N for n ≥ 3. It was originated in developing algorithms to search new taxicab numbers (i.e., naturals that can be represented as a sum of positive cubes in many different ways) and to verify their minimality. We discuss propertie...

In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.

Does the level of sunlight affect the tipping percentage in taxicab rides in New York City? We examined this question using data on 13.82 million cab rides from January to October in 2009 in New York City combined with data on hourly levels of solar radiation. We found a small but statistically significant positive relationship between sunlight and tipping, with an estimated tipping increase of...