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This meeting is a follow up to symposia on Applications of Sum Rules and Scaling in Nonlinear Optics in August 2014 at Washington State University, Pullman, WA. The meeting was then renamed to Foundat...
Resonance Stark effects are nonclassical Stark effects associated with excited-state charge-transfer processes. The theory of resonance Stark effects developed in Part 2 of this series is generalized ...
ABELIAN NETWORKS:FOUNDATIONS AND EXAMPLES     ABELIAN NETWORKS  FOUNDATIONS  EXAMPLES       font style='font-size:12px;'> 2015/8/14
In Dhar’s model of abelian distributed processors, finite automata occupy the vertices of a graph and communicate via the edges. A local commutativity condition ensures that the final output does not ...
Analytical foundations of Volterra series     Volterra series  operators       font style='font-size:12px;'> 2015/8/13
In this paper we carefully study the analysis involved with Volterra series. We address system-theoretic issues ranging from bounds on the gain and incremental gain of Volterra series operators to the...
WOCE and TOGA—The Foundations of the Global Ocean Observing System     WOCE  TOGA  Global Ocean Observing System       font style='font-size:12px;'> 2015/7/31
On July 31, 2003, an Earth Observations Summit was held in Washington D.C. that, if its proponents are correct, will herald a concerted effort to provide the monitoring of our global environment that ...
Foundations of Microbial Oceanography     Microbial Oceanography  Ocean       font style='font-size:12px;'> 2015/7/22
It's been said, "The farther backwards you look, the farther forward you are likely to see" (Sir Winston Churchill, 1874–1965). This is especially true in science where knowledge is cumulative and con...
Abstract: This paper appeared in a collection of papers titled "Scientific Papers Presented to Max Born on his retirement from the Tait Chair of Natural Philosophy in the University of Edinburgh", pub...
We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems ms on the existence of the A(Si) and i,±1 N Clifford algebras. ...
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must posses...
On Foundations of Newtonian Mechanics     classical mechanics  continuum mechanics  constitutive equations  measures       font style='font-size:12px;'> 2011/2/21
Being based on V. Konoplev’s axiomatic approach to continuum mechanics, the paper broadens its frontiers in order to bring together continuum mechanics with classical mechanics in a new theory of me...
An original presentation of Categorical Quantum Physics, in the line of Abramsky and Coecke [10], tries to introduce only objects and assumptions that are clearly relevant to Physics and does not assu...
We describe a mathematical models of grounded symbols in the brain. It also serves as a computational foundations for Perceptual Symbol System (PSS). This development requires new mathematical methods...
Foundations of quantum mechanics: decoherence and interpretation          font style='font-size:12px;'> 2010/10/18
In this paper we review Castagnino’s contributions to the foundations of quantum mechanics. First, we recall his work on quantum decoherence in closed systems, and the proposal of a general framework ...
Recent developments are reviewed and some new results are presented in the study of time in quantum mechanics and quantum electrodynamics as an observable, canonically conjugate to energy. This paper ...
The main research areas of the research group on Mathematical Foundations of Computer Science at Rwthaachen are logic, the theory of infinite games, and complexity, with particular emphasis on logic f...

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