The “first digit law” or “Benford's law” is a mathematical distribution discovered by Simon
Newcomb and Frank Benford. It states, that the probability of the leading number d (d∈{1 …

The coronavirus disease 2019 bursted out about two months ago in Wuhan has caused the
death of more than a thousand people. China is fighting hard against the epidemics with the …

Mathematical inequalities, combined with atomic-physics sum rules, enable one to derive
lower and upper bounds for the Rosseland and/or Planck mean opacities. The resulting …

Paradoxes are poems of science and philosophy that collectively allow us to address broad
multidisciplinary issues within a microcosm. A true paradox is a source of creativity and a …

DISTRIBUTION OF SEQUENCES: A THEORY Page 1 DISTRIBUTION OF SEQUENCES: A
THEORY Oto Strauch Mathematical Institute of the Slovak Academy of Sciences Štefánikova 49 …

In this paper, we will propose a way to accurately model certain naturally occurring
collections of data. Through this proposed model, the proportion of d as leading digit, d …

It seems empirically that the first digits of random numbers do not occur with equal
frequency, but that the earlier digits appear more often than the latters. This peculiality was …

1. Introduction. It has long been known that many statistical tables with numerical data
expressed in decimal form exhibit the peculiar phenomenon that the first significant digits k …

We propose a new approach to explore Benford's law. We take the uniform interpretation of
Benford's law and relax the modulus to define a range of Benford-like characteristics. We …

Benford's law is a statement about the frequency that each digit arises as the leading digit of
numbers in a dataset. It is satisfied by various common integer sequences, such as the …