The time delay for each partition is estimated as the slope of the phase difference between left and right channels Φ(k, i) = arg (X1(k, i)X ? 2 (k, i)) . Below the phase wrapping boundary the slope corresponds to phase delays, and to group delays above. Φ̂(k, i) = a1i or Φ̂(k, i) = a1i + a0 The linear regression is done in the weighted least squares sense, with weights chosen as a function of th...

Let $$G\left( k,n\right) $$ be the Grassmannian of oriented subspaces dimension k $$\mathbb {R}^{n}$$ with its canonical Riemannian metric. We study energy maps assigning to each $$P\in G\left( a unit vector normal P. They are sections sphere bundle $$E_{k,n}^{1}$$ over . The octonionic double and triple cross products induce in natural way such for $$k=2$$ , $$n=7$$ $$k=3$$ $$n=8$$ respectivel...

One can prove the following propositions: (1) Let F be an add-associative right zeroed right complementable left distributive non empty double loop structure and x be an element of the carrier of F . Then 0F · x = 0F . (2) Let F be an add-associative right zeroed right complementable right distributive non empty double loop structure and x be an element of the carrier of F . Then x · 0F = 0F . ...

Let X be a standard Gaussian random variable. For any p ∈ (1, ∞), we prove the existence of universal constant Cp > 0 such that inequality $${\mathbb{E}\left({\left| {{h^\prime }{{\left(X \right)}^p}} \right|} \right)^{1/p}} \ge {C_p}\sqrt d {\left({\mathbb{E}{{\left| {h\left(X \right)} \right|}^p}} \right)^{1/p}}$$ holds for all ≥ 1 and polynomials h: ℝ → ℂ whose spectrum is supported on frequ...

It is known that a right nilpotent congruence on a-nite algebra A is also left nilpotent Kea93]. The question on whether the left nilpotency class of is less than or equal to the right nilpo-tency class of is still open. In this paper we nd an upper limit for the left nilpotency class of. In addition, under the assumption that 1 6 2 typ fAg, we show that (] k =) k for all k 1. Thus the left and...

A bstract Using a data sample of 980 fb − 1 collected with the Belle detector at KEKB asymmetric-energy e + collider, we study processes $$ {\Xi}_c^0\to \Lambda {\overline{K}}^{\ast 0} Ξ c 0 → Λ <mml:mi...

A bstract In $$ {\Lambda}_b^0\to {\Lambda}_c^{+}\left(\to {\Lambda}^0{\pi}^{+}\right){\tau}^{-}{\overline{v}}_{\tau } ? b 0 ? c + ? ...