نتایج جستجو برای: alpha 2 norm

تعداد نتایج: 2698116  

2008
H. Y. McSween S. W. Ruff R. V. Morris R. Gellert G. Klingelhöfer P. R. Christensen T. J. McCoy A. Ghosh J. M. Moersch B. A. Cohen A. D. Rogers C. Schröder S. W. Squyres J. Crisp A. Yen

[1] Complete sets of mineral abundances for relatively unaltered volcanic or volcaniclastic rocks in Gusev Crater have been determined by modeling Mössbauer subspectral areas as mineral weight percentages, and combining those percentages with the proportions of iron-free minerals not detected by Mössbauer (normative plagioclase, apatite, and chromite, as calculated from Alpha Particle X-Ray Spe...

Journal: :Journal of Fourier Analysis and Applications 2021

Let $$S_{\alpha }$$ be the multilinear square function defined on cone with aperture $$\alpha \ge 1$$ . In this paper, we investigate several kinds of weighted norm inequalities for We first obtain a sharp estimate in terms $$ and $$\vec {w} \in A_{\vec {p}}$$ By means some pointwise estimates, also establish two-weight including bump entropy Fefferman–Stein arbitrary weights. Beyond that, cons...

2000
Kostas Tsakalis

that produce the \best ̄t" to the data. Here, n denotes the noise or ̄tting error. By the term \best ̄t," we mean the minimization of the ̄tting error in some sense. For example, typical norm or norm-like functionals used as arguments in the above minimization problem are: 2 knk1 = ess. supt jn(t)j; the L1 norm. 2 knk2 = ¡R1 0 jn(t)j2 dt¢1=2; the L2 norm (energy). 2 knk2;± = ¡R1 0 e2±tjn(t)j2 dt¢1=...

Journal: :CoRR 2016
Fanhua Shang Yuanyuan Liu James Cheng

The Schatten quasi-norm can be used to bridge the gap between the nuclear norm and rank function. However, most existing algorithms are too slow or even impractical for large-scale problems, due to the singular value decomposition (SVD) or eigenvalue decomposition (EVD) of the whole matrix in each iteration. In this paper, we rigorously prove that for any 0< p≤ 1, p1, p2 > 0 satisfying 1/p= 1/p...

2002
M. S. Al-Masri

This paper describes the Syrian experience with respect to Naturally Occurring Radioactive Materials (NORM) waste produced by the Syrian oil industry. Three main categories of NORM waste were identified. First, hard scales from decontamination of contaminated equipment and tubular that are considered to contain the highest levels of radium isotopes (Ra, Ra, Ra); this type of waste being current...

Journal: :Bioinformatics 2008
Li Wang Ji Zhu Hui Zou

MOTIVATION The standard L(2)-norm support vector machine (SVM) is a widely used tool for microarray classification. Previous studies have demonstrated its superior performance in terms of classification accuracy. However, a major limitation of the SVM is that it cannot automatically select relevant genes for the classification. The L(1)-norm SVM is a variant of the standard L(2)-norm SVM, that ...

2008
Shigeki Aida

We denote by Bp,T (Rd) the Banach space which consists of continuous paths starting at 0 with finite p-variation norm ‖ ‖p. The 1-variation norm of x is the same as the total variation of x. The p-variation norm defines a weaker topology of the C1-path space with x0 = 0. Actually it is proved that I0,T (x) is a continuous functional of x in the p-variation topology for any 1 ≤ p < 2. However it...

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