Results 231 to 240 of about 166,499 (273)
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Multivariate Pointwise Interpolation
1993In this chapter, we consider the problem of interpolation of values of a function and its partial derivatives by multivariate polynomials from a certain finite-dimensional space. The interpolation problem consists of the following components: a) the space of polynomials $$\pi (S) = \{ P:P(x) = P({x_1},...,{x_k}) = \sum\limits_{\alpha ...
B. D. Bojanov +2 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1973
We show that, under the conditionala′
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We show that, under the conditionala′
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2011
In this chapter, we introduce the pointwise approach to learning to rank. Specifically, we will cover the regression-based algorithms, classification-based algorithms, and ordinal regression-based algorithms, and then make discussions on their advantages and disadvantages.
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In this chapter, we introduce the pointwise approach to learning to rank. Specifically, we will cover the regression-based algorithms, classification-based algorithms, and ordinal regression-based algorithms, and then make discussions on their advantages and disadvantages.
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Pointwise Convergence of Fourier Series
The Annals of Mathematics, 1973In this paper, we present a new proof of a theorem of Carleson and Hunt: The Fourier series of an LP function on [0, 2J] converges almost everywhere (p > 1). (See [1], [51.) Our proof is very much in the spirit of the classical theorem of Kolmogoroff-Seliverstoff-Plessner [8].
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1992
We denote by \({\tilde F_B} = {\tilde F_B}(\Omega ,F,m)\) the space of all measurable B-valued functions with the seminorm $$|f|{P_b} = \mathop {\inf }\limits_{\alpha \geqslant 0} arctam[\alpha + m(\{ \omega :|f(\omega )|\} )];$$ convergence in \({\tilde F_R}\) is the same as convergence in m.
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We denote by \({\tilde F_B} = {\tilde F_B}(\Omega ,F,m)\) the space of all measurable B-valued functions with the seminorm $$|f|{P_b} = \mathop {\inf }\limits_{\alpha \geqslant 0} arctam[\alpha + m(\{ \omega :|f(\omega )|\} )];$$ convergence in \({\tilde F_R}\) is the same as convergence in m.
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2012
At the beginning of this chapter we introduce the basic formalism and the derivation of the geometric Yamabe equation. Then, we concentrate on the case where M is compact to illustrate the interplay between geometry and analysis, with a few illuminating examples such as the Kazdan-Warner obstruction, a result of Obata on Einstein manifolds, the far ...
Paolo Mastrolia +2 more
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At the beginning of this chapter we introduce the basic formalism and the derivation of the geometric Yamabe equation. Then, we concentrate on the case where M is compact to illustrate the interplay between geometry and analysis, with a few illuminating examples such as the Kazdan-Warner obstruction, a result of Obata on Einstein manifolds, the far ...
Paolo Mastrolia +2 more
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Pointwise Periodic Homeomorphisms
Proceedings of the London Mathematical Society, 1981openaire +2 more sources