A Remark on Continuity of Translation Invariant Functionals on L... (G) for Compact Lie Groups G.
Continuity of Operators Commuting with Translations for Compact Groups.
On some Riemannian manifolds admitting a metric semi-symmetric connection
Simple conformally symmetric manifolds with metric semi-symmetric connection
Hardy spaces on SU(2)
The translation invariant uniform approximation property for compact groups
A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems
In this work we will be concerned with the existence of almost homoclinic solutions for a Newtonian system , where t ∈ ℝ, q ∈ ℝⁿ. It is assumed that a potential V: ℝ × ℝⁿ → ℝ is C¹-smooth and its gradient map is bounded with respect to t. Moreover, a forcing term f: ℝ → ℝⁿ is continuous, bounded and square integrable. We will show that the approximative scheme due to J. Janczewska (see [J2]) for a time periodic potential extends to our case.
Homoclinic orbits for an almost periodically forced singular Newtonian system in ℝ³
This work uses a variational approach to establish the existence of at least two homoclinic solutions for a family of singular Newtonian systems in ℝ³ which are subjected to almost periodic forcing in time variable.
Closedness of some spaces of stochastic integrals
A Remark on Discontinuous Translation Invariant Functionals on L... (G) for Certain Compact Groups G.
On families of σ-complete ideals
Combined classifier based on feature space partitioning
This paper presents a significant modification to the AdaSS (Adaptive Splitting and Selection) algorithm, which was developed several years ago. The method is based on the simultaneous partitioning of the feature space and an assignment of a compound classifier to each of the subsets. The original version of the algorithm uses a classifier committee and a majority voting rule to arrive at a decision. The proposed modification replaces the fairly simple fusion method with a combined classifier, which...
Simulation of the electrophoresis of DNA by the method of cellular automata
The authors give the description of a new cellular automaton for simulating the electrophoresis of gel DNA. This automaton is deterministic, which corresponds to the well-known Monte Carlo rules holding for the electrophoresis at a low temperature and a high intensity electric field. The experimental results indicate that under such conditions the electrophoresis efficiency depends significantly on the string length.
More Curved Spirolaterals
Regularization parameter selection in discrete ill-posed problems - the use of the U-curve
To obtain smooth solutions to ill-posed problems, the standard Tikhonov regularization method is most often used. For the practical choice of the regularization parameter α we can then employ the well-known L-curve criterion, based on the L-curve which is a plot of the norm of the regularized solution versus the norm of the corresponding residual for all valid regularization parameters. This paper proposes a new criterion for choosing the regularization parameter α, based on the so-called U-curve....
Pulsar radiation
In this paper we propose a new model of the coherent pulsar radio emission, based on previous work of Ruderman and Sutherland (1975). We assume a non-stationary polar gap braking down via a number of localized spark discharges, feeding a corresponding subpulse-associated plasma columns in the pulsar magnetosphere. Central spark operates at the local pole of the surface magnetic field and other sparks perform more or less ordered circumferential motion around it due to the E×B drift. We argue that...
Viability theory: an applied mathematics tool for achieving dynamic systems' sustainability
Sustainability is considered an issue of paramount importance; yet scientists andpoliticians still seek to understand what it means, practically and conceptually, tobe sustainable. This paper’s aim is to introduce viability theory, a relativelyyoung branch of continuous mathematics which provides a conceptual frameworkthat is very well suited to sustainability problems. In particular, viability theory can be used toanswer important questions about the sustainability of systems, including thosestudied...
Fermat's Spiral Mandalas
The Algorithmic Language Triplex-ALGOL 60.
Towards prediction of HCV therapy efficiency.
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