Zobrazeno 1 - 10
of 203
pro vyhledávání: '"26C05"'
Autor:
di Dio, Philipp J.
In this work we investigate and characterize linear functionals $L:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}$ with absolutely continuous representing measures $\mu$, i.e., $\mathrm{d}\mu(x) = g(x)\,\mathrm{d} x$ for some density $g$. We focus on the reg
Externí odkaz:
http://arxiv.org/abs/2411.03145
Autor:
Kalmykov, Sergei, Kovalev, Leonid V.
Publikováno v:
J. Math. Anal. Appl. 543 (2024), no. 2, 128995
We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is normal in the sense of Whitney.
Externí odkaz:
http://arxiv.org/abs/2407.12572
Autor:
Fernando, José F.
We present a full geometric characterization of the $1$-dimensional (semi\-algebraic) images $S$ of either $n$-dimensional closed balls $\overline{\mathcal B}_n\subset{\mathbb R}^n$ (of center the origin and radius $1$) or $n$-dimensional spheres ${\
Externí odkaz:
http://arxiv.org/abs/2406.09943
Autor:
Dragović, Vladimir, Stošić, Marko
Starting from billiard partitions which arose recently in the description of periodic trajectories of ellipsoidal billiards in $d$-dimensional Euclidean space, we introduce a new type of separable integer partition classes, called type B. We study th
Externí odkaz:
http://arxiv.org/abs/2404.19078
Autor:
Simsek, Yilmaz
Publikováno v:
Mathematics 2024, 12(1), 65
One of the main purposes of this article is to give functional equations and differential equations between Bernstein basis functions and generating functions of B-spline curves. Using these equations, very useful formulas containing the relationship
Externí odkaz:
http://arxiv.org/abs/2311.10124
We continue the study of real polynomials acting entrywise on matrices of fixed dimension to preserve positive semidefiniteness, together with the related analysis of order properties of Schur polynomials. Previous work has shown that, given a real p
Externí odkaz:
http://arxiv.org/abs/2310.18020
Autor:
Richardson, Sean
We consider functions $f: \mathbb{Z} \to \mathbb{R}$ and kernels $u: \{-n, \cdots, n\} \to \mathbb{R}$ normalized by $\sum_{\ell = -n}^{n} u(\ell) = 1$, making the convolution $u \ast f$ a "smoother" local average of $f$. We identify which choice of
Externí odkaz:
http://arxiv.org/abs/2310.09713
We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contact trees constructed from Newton-Puiseux roots of the polar curves of t
Externí odkaz:
http://arxiv.org/abs/2306.04601
Autor:
Larbaoui, Yassine
This paper presents new six solutions for sixth degree polynomial equation in general forms basing on new theorems, where the possibility to calculate the six roots of any sixth degree equation nearly simultaneously. The proposed roots for sixth degr
Externí odkaz:
http://arxiv.org/abs/2211.08395
Autor:
Larbaoui, Yassine
This paper presents new formulary solutions for quantic polynomial equations in general forms, where we present five solutions for any fifth degree polynomial equation with real coefficients, and thereby having the possibility to calculate the five r
Externí odkaz:
http://arxiv.org/abs/2210.07957