Related papers: Ken Wilson -- The Early Years
Ball lightning is a very rarely observed phenomenon that makes it extremely difficult to characterize scientifically. Eye-witness accounts of ball lightning that describe many features in common have been variously recorded for centuries.…
We discuss some old common knowledge puzzles and introduce a lot of new common knowledge puzzles.
First year calculus is often taught in a way that is very burdensome to the student. Students have to memorize a diversity of processes for essentially performing the same task. However, many calculus processes can be simplified and…
A high-school exercise is used to get an insight into planetary motion.
We dedicate this to the life and work of Robin Hudson -- a mathematical physicist who developed the peerless quantum stochastic calculus, but who also inspired generations of researchers with both his intellect and wit.
We study an inequality suggested by Littlewood, our result refines a result of Bennett.
I would like to consider the Beginning of space-time in this paper. First of all, we do consideration historical thought. A lot of philosophers have considered the relation between this real phenomenal world and the basic world in which the…
How did it all begin? Although this question has undoubtedly lingered for as long as humans have walked the Earth, the answer still eludes us. Yet since my grandparents were born, scientists have been able to refine this question to a…
A portrait of Kurt Goedel with emphasis on his work on relativity theory and idealistic philosophy.
In this brief semi-expository article we present a few efficient techniques for calculating and proving determinantal identities. Several stimulating examples of different flavor and applications are spread across the pages which we hope…
In this article we discuss a generalized Wirtinger inequality.
The Compton effect in a two-dimensional world is compared with the same process in ordinary three-dimensional space.
Ten years into the LHC physics programme, I reflect on the vast amount of extraordinary results that have emerged so far.
The paper is dedicated to the memory of prominent theoretical physicist and mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of the nonlinear dynamics, separation of variables, integrability theory, special…
This paper is concerned with a comparison of van der Waerden's and Wilcoxon's scores.
An elementary approach to the construction of Coxeter group representations is presented.
Many approaches have been proposed for early classification of time series in light of its significance in a wide range of applications including healthcare, transportation and finance. However, recently a preprint saved on Arxiv claim that…
This is a brief introduction to the geometric aspects of aperiodic tiling and the collaboration of John Conway and the author in the decade 1990-2000.
On June 15, 1876, the Proceedings of the Royal Society of London published a paper by Mr. W. H. L. Russell entitled "On certain integrals". The paper starts with "The following are certain integrals which will, I hope, be found…
Recollections of the Austrian geometer Heinrich Brauner (in German).