Denote by Km the mirror image of a planar convex body K in a straight line m. It is easy to show that K∗ m = conv(K ∪ Km) is the smallest (by inclusion) convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K∗ m is a measure of axial symmetry of K. A question is how to find a line m in order to guarantee that K∗ m be of the smalle...

.-We compute the scalar glueball mass m(O++) in units of the square-root of the string tension fi, for SU(N) gauge theories on the lattice, with N = 2,3,5,6. We identify a general-scaling window in which the glueball mass is approximately independent of the lattice spacing, yielding an estimate of m(O++) in the continuum. The estimate is corroborate’d by the excellent agreement between Hamilton...

We used a statistical linear model to infer MERRA’s wind speed v t (x ), at time t and on some ECMWF grid point x included in the MERRA grid point x , from MERRA’s estimate v t (x M ): v t (x ) = a E t v M t (x M ) + b E t , where the coefficients a E t and b x t are estimated using ECMWF’s wind speed estimate v E t (x ) as a response variable. This estimation is carried out adaptively on a mon...

Repeated convolution of a probability measure on Z leads to the central limit theorem and other limit theorems. This paper investigates what kinds of results remain without positivity. It reviews theorems due to Schoenberg, Greville, and Thomée which are motivated by applications to data smoothing (Schoenberg and Greville) and finite difference schemes (Thomée). Using Fourier transform argument...

It is now well understood that convex programming can be used to estimate the frequency components of a spectrally sparse signal from m uniform temporal measurements. It is conjectured that a phase transition on the success of the totalvariation regularization occurs when the distance between the spectral components of the signal to estimate crosses 1/m. We prove the necessity part of this conj...

Earliest possible prediction of seed-yield potential of autogamous crop populations increases breeding program efficiency by saving time and resources. Alternatives for obtaining seed-yield predictions were compared by evaluating four common-bean populations in F1 and F2 generations together with the parents. Mean components (m + a’ and d) and variances were estimated. The potential of each pop...

background: the current study was conducted to estimate the integrated mean of quality of life (qol) of the general population of different countries around the world and to compare them on the grounds of the human development index (hdi). methods: well-known international databases such as medline, scopus, science direct, google scholar & google, and domestic databases including sid, iranmedex...

This paper proposes a new adaptive filtering algorithm called the Huber Prior Error-Feedback Least Squares Lattice (H-PEF-LSL) algorithm for robust adaptive filtering in impulse noise environment. It minimizes a modified Huber M-estimator based cost function, instead of the least squares cost function. In addition, the simple modified Huber M-estimate cost function also allows us to perform the...

Kernel ridge regression (KRR) is a standard method for performing non-parametric regression over reproducing kernel Hilbert spaces. Given n samples, the time and space complexity of computing the KRR estimate scale as O(n3) and O(n2) respectively, and so is prohibitive in many cases. We propose approximations of KRR based on m-dimensional randomized sketches of the kernel matrix, and study how ...

Let ω be a weight satisfing Muckenhoupt’s condition A∞. In present paper the estimate of rearrangement f∗ ω(t) was obtained f∗ ω(t) ≤ 2(M λ f)ω(2t) + f∗ ω(2t) (0 < t < ∞), where f is any measurable function, M λ f is local sharp maximal function due to John [12] and Strömberg [18]. Before (Bennett, DeVore and Sharpley [3], Bagby and Kurtz [1]) the similar estimates were expressed in terms of Fe...