and call the column vector c the representation of the vector x with respect to the basis X . Now, let V and W be vector spaces over F , let X = (x,x, . . . ,x) be a basis of V , let Y = (y,y, . . . , y) be a basis of W , and let T : V → W be a linear transformation. For any i with 1 ≤ i ≤ n we have Tx = ∑m j=1 y aji with some aji ∈ F . For an arbitrary vector x = V such that c = (c1, . . . , c...

We study a variety of mixed synchronous/incoherent (“chimera”) states in several heterogeneous networks of coupled phase oscillators. For each network, the recently-discovered Ott-Antonsen ansatz is used to reduce the number of variables in the PDE governing the evolution of the probability density function by one, resulting in a time-evolution PDE for a variable with as many spatial dimensions...

MINERAL ASSEMBLAGES FROM LONG TERM EXPERIMENTS. S. P. Schwenzer, J. C. Bridges, M. A. Miller, L. J. Hicks, U. Ott, J. Filiberto, C. Chavez, H. Smith, A. H. Treiman, S. P. Kelley, J. M. Moore, T. D. Swindle, M. A. Bullock – The Open University, Walton Hall, Milton Keynes MK7 6AA, UK, [email protected]; Space Research Centre, University of Leicester, UK; Southwest Research Institute, 6...

Harald Dimmelmeier,* Christian D. Ott, Andreas Marek, and H.-Thomas Janka4,x Department of Physics, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece Steward Observatory and Department of Astronomy, University of Arizona, Tucson, Arizona 85721, USA Theoretical Astrophysics, Mailcode 130-33, California Institute of Technology, Pasadena, California 91125, USA Max Planck Institut...

There are three possible effects of Special Theory of Relativity (STR) on a thermodynamic system. Planck and Einstein looked upon this process as isobaric; on the other hand Ott saw it as an adiabatic process. However plenty of logical reasons show that the process is isotherm. Our phenomenological consideration demonstrates that the temperature is invariant with Lorenz transformation. In that ...

This paper summarizes the author’s keynote address to the first European Workshop on Software Radios in Brussels on 29 May 1997. The software radio is an emerging technology for rapidly building flexible, modular, multiband multimode radio systems. It has great potential for creating radio infrastructure that can be programmed for new standards and that can be dynamically updated with new softw...

I propose a model of mutually interacting particles on an M -dimensional unit sphere. I derive the dynamics of the particles by extending the dynamics of the Kuramoto–Sakaguchi model. The dynamics include a natural-frequency matrix, which determines the motion of a particle with no external force, and an external force vector. The position (state variable) of a particle at a given time is obtai...

Passive warming manipulation methodologies, such as open-top chambers (OTCs), are a meaningful approach for interpretation of impacts of climate change on the Arctic tundra biome. The magnitude of OTC warming has been studied extensively, revealing an average plot-level warming of air temperature that ranges between 1 and 3 ̋C as measured by shielded resistive sensors or thermocouples. Studies ...

We study trade-transparency in over-the-counter (OTC) equity derivatives markets, performing two related experiments. The first consists of a statistical study: we analyze a very large dataset of reported OTC transactions to the MarkitServ database and seek to correlate the trade prices with the prices of analogous derivatives listed in exchanges or with model prices derived from the latter (“f...