• Many kernel-based learning algorithms have the computational load. • The Nyström low-rank approximation is designed for reducing the computation. • We propose the spectrum decomposition condition with a theoretical justification. • Asymptotic error bounds on eigenvalues and eigenvectors are derived. • Numerical experiments are provided for covariance kernel and Wishart matrix. AMS subject cla...

The hulls of codes from the row span over Fp, for any prime p, of incidence matrices of connected k-regular graphs are examined, and the dimension of the hull is given in terms of the dimension of the row span of A+kI over Fp, where A is an adjacency matrix for the graph. If p = 2, for most classes of connected regular graphs with some further form of symmetry, it was shown in [8] that the hull...

Tverberg’s theorem asserts that every (k − 1)(d + 1) + 1 points in R can be partitioned into k parts, so that the convex hulls of the parts have a common intersection. Calder and Eckhoff asked whether there is a purely combinatorial deduction of Tverberg’s theorem from the special case k = 2. We dash the hopes of a purely combinatorial deduction, but show that the case k = 2 does imply that eve...

Changes in chemical composition and digestibility of peanut hulls after a variety of thermochemical treatments were monitored. Mineral acids and base under elevated temperature (121°C) were generally ineffective for decreasing the fibrous, lignocellulosic component of the hulls. Only nitric acid-treatment effectively decreased the relative lignin content of the hulls. The 1ignin:nitrogen ratio ...

We consider the problem of learning multi-ridge functions of the form f(x) = g(Ax) from point evaluations of f . We assume that the function f is defined on an `2-ball in R, g is twice continuously differentiable almost everywhere, and A ∈ Rk×d is a rank k matrix, where k d. We propose a randomized, polynomial-complexity sampling scheme for estimating such functions. Our theoretical development...

Nowadays, application of high speed crafts with large tonnage is of our country's essences. In order to gain high speed, new multi hull crafts are traditional. A hull form having been used recently in frigates is the Trimaran. Trimaran hull form and motion have been extensively studied due to the development of numerical and analytical methods as well as the exploitation of experimental setup. ...

A method for determination of juglone in leaves and hulls of Pterocarya fraxinifolia was developed, based on RP-HPLC. This compound was extracted from leaves and hulls by chloroform refluxing about 2 hours. The chloroform was evaporated under low pressure at   50 ºC to produce a dry residue. The remained materials were dissolved in acetonitrile to be used for determination of this compound....