Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Wasem, Micha"'
Autor:
Wasem, Micha, Yerly, Florence
In this work, we present a novel approach to type design by using Fourier-type series to generate letterforms. We construct a Fourier-type series for functions in $L^2(S^1,\mathbb C)$ based on triangles of constant width instead of circles to model t
Externí odkaz:
http://arxiv.org/abs/2409.11958
Autor:
Minini, Jocelyn, Wasem, Micha
Using generating functions, we are proposing a unified approach to produce explicit formulas, which count the number of nodes in Smolyak grids based on various univariate quadrature or interpolation rules. Our approach yields, for instance, a new for
Externí odkaz:
http://arxiv.org/abs/2408.09809
Publikováno v:
Journal of Algebra and Its Applications, 2022
A function $f:R\to R$, where $R$ is a commutative ring with unit element, is called polyfunction if it admits a polynomial representative $p\in R[x]$. Based on this notion we introduce ring invariants which associate to $R$ the numbers $s(R)$ and $s(
Externí odkaz:
http://arxiv.org/abs/2111.14573
We study the ring of polyfunctions over $\mathbb Z/n\mathbb Z$. The ring of polyfunctions over a commutative ring $R$ with unit element is the ring of functions $f:R\to R$ which admit a polynomial representative $p\in R[x]$ in the sense that $f(x)= p
Externí odkaz:
http://arxiv.org/abs/2106.11788
Based on an axiomatic approach we propose two related novel one-parameter families of indicators of change which put in a relation classical indicators of change such as absolute change, relative change and the log-ratio.
Comment: 10 pages, 1 fi
Comment: 10 pages, 1 fi
Externí odkaz:
http://arxiv.org/abs/2011.14807
Publikováno v:
J Nonlinear Sci 2021
We obtain a formula for the number of horizontal equilibria of a planar convex body $K$ with respect to a center of mass $O$ in terms of the winding number of the evolute of $\partial K$ with respect to $O$. The formula extends to the case where $O$
Externí odkaz:
http://arxiv.org/abs/1909.05900
Autor:
Hungerbühler, Norbert, Wasem, Micha
Publikováno v:
Open Mathematics, 16(1), pp. 1621-1633. Retrieved 17 Feb. 2019
Given a real function $f$ on an interval $[a,b]$ satisfying mild regularity conditions, we determine the number of zeros of $f$ by evaluating a certain integral. The integrand depends on $f, f'$ and $f''$. In particular, by approximating the integral
Externí odkaz:
http://arxiv.org/abs/1808.09690
Autor:
Hungerbühler, Norbert, Wasem, Micha
Publikováno v:
Journal of Mathematics, vol. 2019, Article ID 6130464, 9 pages, 2019
We define a generalization of the winding number of a piecewise $C^1$ cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value, but is
Externí odkaz:
http://arxiv.org/abs/1808.00997
Autor:
Wasem, Micha
We prove that every immersed $C^2$-curve $\gamma$ in $\mathbb R^n$, $n\geqslant 3$ with curvature $k_{\gamma}$ can be $C^1$-approximated by immersed $C^2$-curves having prescribed curvature $k>k_{\gamma}$. The approximating curves satisfy a $C^1$-den
Externí odkaz:
http://arxiv.org/abs/1510.01954
Publikováno v:
J. Convex Anal. 24 (2017), no. 1, 309-317
Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact $3$-manifold can be approximated by a Legendrian curve.
Comment: Final Version, to appear in Journal of Convex Analysis, 9 page
Comment: Final Version, to appear in Journal of Convex Analysis, 9 page
Externí odkaz:
http://arxiv.org/abs/1507.07661