We consider self-similar solutions of Smoluchowski’s coagulation equation with a diagonal kernel of homogeneity γ < 1. We show that there exists a family of second-kind self-similar solutions with power-law behavior x−(1+ρ) as x → ∞ with ρ ∈ (γ, 1). To our knowledge this is the first example of a non-solvable kernel for which the existence of such a family has been established. Résumé Nous cons...

BACKGROUND: To achieve good performance, taekwondo athletes should optimize the stance position of the foot on the ground. OBJECTIVE: The aim of this study is to compare generated net joint power (hip, knee and ankle) during stance phase, magnitude of peak foot velocity of the attacking lower extremity and execution stance time produced from three stance positions (forward “0°”, diagonal “45°”,...

background and aim: one of the key aspects of maternal care is observing the progress of labor. careful assessment of labor progress could provide mothers to be referred on time and could decrease the maternal and neonatal morbidity. this study aimed to compare diagnostic accuracy of purple line with transvers diagonal of michaelis sacral rhomboid to predict labor progress in nulliparous and mu...

It is shown that SBIED(4k 2 , 2Jc 2 ± k, P ± k) and Hadamard matrices with maximal excess exist for qs,q {q:q 1 (mod 4) is a prime power}, + 1, g the length of a Golay sequence}. There a proper n dimensional Hadamard matrix of order (4k2)n. Regular symmetric Hadamard matrices with constant diagonal are obtained for orders 4k2 whenever complete regular 4-sets of regular matrices of order k 2 exist.

A robust Capon beamformer (RCB) against the uncertainty of nominal array steering vector (ASV) is formulated in this paper. The RCB, which can be categorized as diagonal loading approach, is obtained by maximizing the output power of the standard Capon beamformer (SCB) subject to an uncertainty constraint on the nominal ASV. The bound of its output signal-to-interference-plusnoise ratio (SINR) ...

We examine n×nmatrices over Zm, with 0’s in the diagonal and nonzeros elsewhere. If m is a prime, then such matrices have large rank (i.e., n1/(p−1) − O(1) ). If m is a non-prime-power integer, then we show that their rank can be much smaller. For m = 6 we construct a matrix of rank exp(c √ log n log log n). We also show, that explicit constructions of such low rank matrices imply explicit cons...

It is shown that certain ensembles of random matrices with entries that vanish outside a band around the diagonal satisfy a localization condition on the resolvent which guarantees that eigenvectors have strong overlap with a vanishing fraction of standard basis vectors, provided the band width W raised to a power μ remains smaller than the matrix size N . For a Gaussian band ensemble, with mat...

Abstract We study models of continuous-time, symmetric, Zd -valued random walks in random environment, driven by a field of i.i.d. random nearest-neighbor conductances ωx y ∈ [0,1] with a power law with an exponent γ near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel hωt (0, 0). We show that for γ > d 2 , the spectral dimension is standard, i...