Results 21 to 30 of about 757,721 (338)
Fiber integration on the Demailly tower [PDF]
The goal of this work is to provide a fiber integration formula on the Demailly tower, that avoids step-by-step elimination of horizontal cohomology classes, and that yields computational effectivity.
Darondeau, Lionel
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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
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In this chapter, we will go one step beyond the Hello, World! example of the first chapter, and introduce programming with mathematical formulas. Such formulas are essential parts of most programs written for scientific applications, and they are also useful for introducing the concept of variables, which is a fundamental part of all programming ...
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The hybrid power mean of quartic Gauss sums and Kloosterman sums
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
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Quadrature formula for computed tomography
The authors present a Gaussian quadrature formula for integrals of the form \[ \int_B f(x,y) U_n(x\cos\theta+y\sin\theta)\,dx\,dy \] over the unit disk \(B\) for the Chebyshev polynomials \(U_n\) of second kind. The formula involves \(n\) Radon projections on \(B\), has the maximal degree \(3n+1\) of precision, and is unique by this property. It may be
Bojanov, Borislav, Petrova, Guergana
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On the hybrid power mean of two kind different trigonometric sums
The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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Spiking neural networks (SNNs) represent a promising alternative to conventional neural networks. In particular, the so-called Spike-by-Spike (SbS) neural networks provide exceptional noise robustness and reduced complexity.
Yarib Nevarez +3 more
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Qubit Complexity of Continuous Problems [PDF]
The number of qubits used by a quantum algorithm will be a crucial computational resource for the foreseeable future. We show how to obtain the classical query complexity for continuous problems.
Papageorgiou, A., Traub, J. F.
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One kind power mean of the hybrid Gauss sums
In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
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An Inverse-Free and Scalable Sparse Bayesian Extreme Learning Machine for Classification Problems
Sparse Bayesian Extreme Learning Machine (SBELM) constructs an extremely sparse and probabilistic model with low computational cost and high generalization.
Jiahua Luo +3 more
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