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367
FOR HILBERT MATRIX INVERSION
, 1987
"... E, National Defence D6fense nationale Reseach aWW Bim'au do rechsrch Devlopment Branch et d~vekoppewMn A COMPUTER BENCHMARK PROGRAM ..."
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E, National Defence D6fense nationale Reseach aWW Bim'au do rechsrch Devlopment Branch et d~vekoppewMn A COMPUTER BENCHMARK PROGRAM
Exploring Recursion in Hilbert Curves
 SIGCSE Bulletin
"... This tip will describe the use of a graphical tool to explore the recursive Hilbert curves and will explain some of the mathematical information that can be visualized using this tool. 1. Brief History The sequence of recursive Hilbert curves was discovered by the mathematician David Hilbert about 1 ..."
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Cited by 2 (0 self)
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Exploration of Hilbert Curves We have developed an interactive demonstration program that enables a student to explore Hilbert curves through several related visualizations. Students can: 1. Draw the curves. 2. Add arrows to show the direction of traversal. 3. Add background blocks to show how the curves
THE MINIMAL MODEL PROGRAM FOR THE HILBERT SCHEME OF POINTS ON P 2 AND BRIDGELAND STABILITY
"... Abstract. In this paper, we study the birational geometry of the Hilbert scheme P 2[n] of npoints on P 2. We discuss the stable base locus decomposition of the effective cone and the corresponding birational models. We give modular interpretations to the models in terms of moduli spaces of Bridgela ..."
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Cited by 34 (10 self)
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Abstract. In this paper, we study the birational geometry of the Hilbert scheme P 2[n] of npoints on P 2. We discuss the stable base locus decomposition of the effective cone and the corresponding birational models. We give modular interpretations to the models in terms of moduli spaces
Learnability in Hilbert spaces with Reproducing Kernels
 Journal of Complexity
, 2002
"... We explore the question of learnability of classes of functions contained in a Hilbert space which has a reproducing kernel. We show that if the evaluation functionals are uniformly bounded and if the class is norm bounded then it is learnable. We formulate a learning procedure related to the well k ..."
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Cited by 6 (5 self)
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We explore the question of learnability of classes of functions contained in a Hilbert space which has a reproducing kernel. We show that if the evaluation functionals are uniformly bounded and if the class is norm bounded then it is learnable. We formulate a learning procedure related to the well
Hilbert's new problem
, 2001
"... Throughout the twentieth century, the worlds of logic and mathematics were well aware of Hilbert’s twentythree problems and the challenge they offered. Although not known until very recently, there existed yet one more challenge offered by Hilbert, his twentyfourth problem. This problem focuses on ..."
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Cited by 3 (3 self)
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Throughout the twentieth century, the worlds of logic and mathematics were well aware of Hilbert’s twentythree problems and the challenge they offered. Although not known until very recently, there existed yet one more challenge offered by Hilbert, his twentyfourth problem. This problem focuses
Hilbert Space Models Commodity Exchanges
"... Abstract. It is argued that the vector space measures used to measure closeness of market prices to predictors for market prices are invalid because of the observed metric of commodity space. An alternative representation in Hilbert space within which such measures do apply is proposed. It is shown ..."
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Cited by 2 (2 self)
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Abstract. It is argued that the vector space measures used to measure closeness of market prices to predictors for market prices are invalid because of the observed metric of commodity space. An alternative representation in Hilbert space within which such measures do apply is proposed. It is shown
Hilbert's Building Blocks
 Mathematics & Design Conference Proceedings
, 1998
"... This paper reports on an ongoing research project on an "nonpencil" approach in generating architectural forms using nontraditional geometries. Space curves are investigated to determine nodal points in 3D space, which are then interpreted into common architectural elements. The nodal poin ..."
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points are used in a variety of ways to generate walls, columns, floors, and volumes. The determination of forms is totally under program control without any manual interpretation or intervention. A set of simple rules is used to investigate potential forms. The project further extents my continuing
The Practice of Finitism: Epsilon Calculus and Consistency Proofs in Hilbert's Program
, 2001
"... . After a brief flirtation with logicism in 19171920, David Hilbert proposed his own program in the foundations of mathematics in 1920 and developed it, in concert with collaborators such as Paul Bernays and Wilhelm Ackermann, throughout the 1920s. The two technical pillars of the project were the ..."
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Cited by 6 (3 self)
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. After a brief flirtation with logicism in 19171920, David Hilbert proposed his own program in the foundations of mathematics in 1920 and developed it, in concert with collaborators such as Paul Bernays and Wilhelm Ackermann, throughout the 1920s. The two technical pillars of the project were
Gröbner techniques for low degree Hilbert stability
, 2009
"... We give a method for verifying, by a symbolic calculation, the stability or semistability with respect to a linearization of fixed, possibly small, degree m, of the Hilbert point of a scheme X ∈ P(V) having a suitably large automorphism group. We also implement our method and apply it to analyze th ..."
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Cited by 12 (3 self)
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We give a method for verifying, by a symbolic calculation, the stability or semistability with respect to a linearization of fixed, possibly small, degree m, of the Hilbert point of a scheme X ∈ P(V) having a suitably large automorphism group. We also implement our method and apply it to analyze
Algebraic formulation and program generation of threedimensional hilbert spacefilling curves
 In The 2004 International Conference on Imaging Science, Systems, and Technology
, 2004
"... Abstract: We use a tensor product based multilinear algebra theory to formulate threedimensional Hilbert spacefilling curves. A 3D Hilbert spacefilling curve is specified as a permutation which rearranges threedimensional 2 n 2 n 2 n data elements stored in the row major order as in C language ..."
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Cited by 3 (2 self)
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product formulas of 3D Hilbert spacefilling curves. In addition, we derive a tensor product formula of inverse 3D Hilbert spacefilling curve permutation. The tensor product formulas are directly translated into computer programs which can be used in various applications. The process of program
Results 11  20
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367