Starting from Renaissance rationality has dominated in the science. W. G. Leibnitz and I. Newton based foundations to mathematical and physical doctrine of determinism—everything in the nature is defined by few deterministic laws, and thus can be explained (computed) automatically from initial conditions. However, the 20th century made quite serious amendments to the core idea of determinism. I...

The theory of series is one of the most important objects of Analysis: all problems which reduce to some approximations, and consequently nearly all the applications of Mathematics to Nature, depend on this theory; thus we see that it has principally fixed the attention of the geometers; they have found a great number of beautiful theorems and ingenious methods, either in order to expand functi...

SHIPTRAP is a new ion trap system for high-precision mass measurements of transuranium recoil-ions from the SHIP facility at GSI. The system consists of a buffer-gas cell to thermalise the incoming ions, an extraction system to separate the ions from the buffer gas, an RFQ buncher to cool and accumulate the ions and a tandem Penning-trap system for isobaric purification and high-precision mass ...

A multiple-reflection time-of-flight mass spectrometer (MR-TOF-MS) [1] will be an important part of the MATS/LaSpec beam-line at the Low-Energy-Branch (LEB) of the Super-FRS at FAIR. The MR-TOF-MS is a fast (∼ms), multi-purpose, non-scanning mass spectrometer with single-ion sensitivity and will be used as a broadband mass spectrometer, as isobar separator or for direct mass measurements of ver...

Preamble This book written by A. Schumann & F. Smarandache is devoted to advances of non-Archimedean multiple-validity idea and its applications to logical reasoning. Leibnitz was the first who proposed Archimedes' axiom to be rejected. He postulated infinitesimals (infinitely small numbers) of the unit interval [0, 1] which are larger than zero, but smaller than each positive real number. Robi...

The year 2009 marks the 80th anniversary of the birth of the eminent German analytical chemist Rolf Neeb (Fig. 1). Sadly, Rolf Neeb passed away 3 years ago; however, the 80th anniversary of his birth is an appropriate occasion to remember his many scientific achievements, especially his contributions to electroanalytical chemistry. Rolf Neeb was born on January 7, 1929, in Mainz, the only child...

We give an elementary proof of the Pieri-type formula in the cohomology of a Grassmannian of maximal isotropic subspaces of an odd orthogonal or symplectic vector space. This proof proceeds by explicitly computing a triple intersection of Schubert varieties. The decisive step is an exact description of the intersection of two Schubert varieties, from which the multiplicities (which are powers o...

– We provide numerical indications of the q-generalised central limit theorem that has been conjectured (Tsallis 2004) in nonextensive statistical mechanics. We focus on N binary random variables correlated in a scale-invariant way. The correlations are introduced by imposing the Leibnitz rule on a probability set based on the so-called q-product with q ≤ 1. We show that, in the large N limit (...

In the fall of 2001, I was finishing my computer science undergrad studies and Martin Skutella suggested that I take the course " Linear optimization " , a course offered to beginning math grad students and taught by Prof. Günter Ziegler. Following his advice, my fellow student Roman Wagner and I took the course, and failed badly. We lacked the necessary linear algebra and so the teaching assis...

No abstract. Liebe Leserinnen und Leser, in dieser Ausgabe der Chemie Ingenieur Technik sollten eigentlich eine Vielzahl von Beiträgen rund um die Partikeltechnologie enthalten sein, präsentiert u. a. auf dem 9. Symposium „Produktgestaltung Partikeltechnologie”, das im Mai 2020 – ausgerichtet durch Fraunhofer Institut für Chemische Technologie (ICT), Leibnitz Werkstofforientierte Technologien, ...