Abstract Let $\Sigma $ be a compact surface with boundary. For given conformal class c on the functional $\sigma _k^*(\Sigma ,c)$ is defined as supremum of k th normalized Steklov eigenvalue over all metrics in . We consider behavior this moduli space classes A precise formula for limit ,c_n)$ when sequence $\{c_n\}$ degenerates obtained. apply to study natural analogs Friedlander–Nadirashvili ...

Quillen [7] defines an algebraic A -̂functor from the category of associative rings to that of positively graded abelian groups, with Kf(R) = ÏI^BGLR ") for i > 1. Kx and K2 correspond respectively to the 'classical' Bass and Milnor definitions. The /^-images of finite fields and their algebraic closures were computed by Quillen in [8]. Since then, there has been only a handful of complete calcu...

The standard approach to applying ray theory solving Maxwell’s equations in the large wave-number limit involves seeking solutions that have ( i ) an oscillatory exponential with a phase term is linear and ii has amplitude profile expressed terms of inverse powers wave-number. Friedlander–Keller modification includes additional power this wave structure, crucial when analysing certain phenomena...

With Fq a finite field of characteristic p, let F(q) be the category whose objects are functors from finite dimensional Fq–vector spaces to F̄p– vector spaces. Extension groups in F(q) can be interpreted as MacLane (or Topological Hochschild) cohomology with twisted coefficients. Furthermore, evaluation on an m dimensional vector space Vm induces a homorphism from Ext F(q) (F, G) to finite group...

in this paper, we propose a new residual analysis method using fourier series transform into fuzzy time series model for improving the forecasting performance. this hybrid model takes advantage of the high predictable power of fuzzy time series model and fourier series transform to fit the estimated residuals into frequency spectra, select the low-frequency terms, filter out high-frequency term...