Results 71 to 80 of about 1,936,165 (185)

Theoretical and numerical results about some weakly singular Volterra-Fredholm equations

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
doaj   +2 more sources

INTEGRAL EDUCATION ON SCHEDULE: "A FULL-TIME SCHOOL OR THAT AIMS AN INTEGRAL FORMATION, IS A POSSIBILITY FOR THE IMPROVEMENT OF TEACHING IN BRAZIL". AN INTERVIEW WITH ROMUALDO PORTELA DE OLIVEIRA

Educação: Teoria e Prática, 2018
Integral education has been the focus of policy discussions in diverse segments within the context of Brazilian education, with special emphasis on academic productions that consider the fruitful dialogue between public policies and educational ...
Camila Arelaro Caetano
doaj   +1 more source

Uniformity of stably integral points on elliptic curves

, 1995
A common practice in arithmetic geometry is that of generalizing rational points on projective varieties to integral points on quasi-projective varieties. Following this practice, we demonstrate an analogue of a result of L. Caporaso, J.
Abramovich, Dan
core   +1 more source

$E_{6}$ AND THE ARITHMETIC OF A FAMILY OF NON-HYPERELLIPTIC CURVES OF GENUS 3

Forum of Mathematics, Pi, 2015
We study the arithmetic of a family of non-hyperelliptic curves of genus 3 over the field $\mathbb{Q}$ of rational numbers. These curves are the nearby fibers of the semi-universal deformation of a simple singularity of type $E_{6}$. We show that average
JACK A. THORNE
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Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows

, 2011
In this paper, we study the distribution of integral points on parametric families of affine homogeneous varieties. By the work of Borel and Harish-Chandra, the set of integral points on each such variety consists of finitely many orbits of arithmetic ...
Gorodnik, Alexander, Paulin, Frédéric
core   +1 more source

Integral Points on the Unit Circle

Journal of Number Theory, 2001
The author gives a complete solution to the following problem, posed by Dipendra Prasad: Determine all algebraic number fields \(K\) in which there are integers \(x\) and \(y\) such that \(x^2+y^2=1\). The proof is based on the observation that the numbers \(x\pm iy\) must be units in \(K\) or \(K(i).\)
openaire   +2 more sources

The second moment of the number of integral points on elliptic curves is bounded

, 2018
In this paper, we show that the second moment of the number of integral points on elliptic curves over $\mathbb{Q}$ is bounded. In particular, we prove that, for any $0 < s < \log_2 5 = 2.3219 \ldots$, the $s$-th moment of the number of integral points ...
Alpoge, Levent, Ho, Wei
core  

Research on Field-of-View Reconstruction Technology of Specific Bands for Spatial Integral Field Spectrographs

Photonics
Integral field technology, as an advanced spectroscopic imaging technique, can be used to acquire the spatial and spectral information of the target area simultaneously.
Jie Song, Yuyu Tang, Jun Wei, Xiaoxian Huang   +3 more
doaj   +1 more source

New fixed points of mixed monotone operators with applications to nonlinear integral equations

PLoS ONE
In this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone ...
Shaoyuan Xu, Yan Han, Shixun Lin, Guoqiong Zhou   +3 more
doaj   +2 more sources

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

Известия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj   +1 more source