Results 21 to 30 of about 757,721 (338)

Fiber integration on the Demailly tower [PDF]

open access: yes, 2015
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
core   +3 more sources

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

open access: yesMathematics, 2019
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
doaj   +1 more source

Computing with Formulas [PDF]

open access: yes, 2020
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 ...
openaire   +1 more source

The hybrid power mean of quartic Gauss sums and Kloosterman sums

open access: yesOpen Mathematics, 2017
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
doaj   +1 more source

Quadrature formula for computed tomography

open access: yesJournal of Approximation Theory, 2010
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
openaire   +2 more sources

On the hybrid power mean of two kind different trigonometric sums

open access: yesOpen Mathematics, 2019
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
doaj   +1 more source

Accelerating Spike-by-Spike Neural Networks on FPGA With Hybrid Custom Floating-Point and Logarithmic Dot-Product Approximation

open access: yesIEEE Access, 2021
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
doaj   +1 more source

Qubit Complexity of Continuous Problems [PDF]

open access: yes, 2005
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.
core   +4 more sources

One kind power mean of the hybrid Gauss sums

open access: yesOpen Mathematics, 2018
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
doaj   +1 more source

An Inverse-Free and Scalable Sparse Bayesian Extreme Learning Machine for Classification Problems

open access: yesIEEE Access, 2021
Sparse Bayesian Extreme Learning Machine (SBELM) constructs an extremely sparse and probabilistic model with low computational cost and high generalization.
Jiahua Luo   +3 more
doaj   +1 more source

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