Let Zb(n) denote the number of trailing zeroes in the base-b expansion of n!. In this paper we study the connection between the expression of θ(b) := limn→∞ Zb(n)/n in base b, and that of Zb(b ). In particular, if b is a prime power, we will show the equality between the k digits of Zb(b ) and the first k digits in the fractional part of θ(b). In the general case we will see that this equality ...

Crystal structure prediction (CSP) studies are not limited to being a search for the most thermodynamically stable crystal structure, but play a valuable role in understanding polymorphism, as shown by interdisciplinary studies where the crystal energy landscape has been explored experimentally and computationally. CSP usually produces more thermodynamically plausible crystal structures than kn...

It has been a year since the new millennium began. European jurisprudence in its modern form is one thousand years old. I have been working in the field of law for some 30 years. The biggest change I could like to see in the new millennium is that we might learn to ask questions that are small and clearly defined. There are probably no exact answers to the big questions. I will be true to my co...