Search results for "Integration problem"
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Elementary Integration of Superelliptic Integrals
2021
Consider a superelliptic integral $I=\int P/(Q S^{1/k}) dx$ with $\mathbb{K}=\mathbb{Q}(\xi)$, $\xi$ a primitive $k$th root of unity, $P,Q,S\in\mathbb{K}[x]$ and $S$ has simple roots and degree coprime with $k$. Note $d$ the maximum of the degree of $P,Q,S$, $h$ the logarithmic height of the coefficients and $g$ the genus of $y^k-S(x)$. We present an algorithm which solves the elementary integration problem of $I$ generically in $O((kd)^{\omega+2g+1} h^{g+1})$ operations.
Główne problemy integracji imigrantów z Ukrainy i propozycje rozwiązań w oczach przedstawicieli instytucji województwa opolskiego
2020
The article presents the results of qualitative research conducted as a part of the conference titled Diagnosis of Needs and Problems Related to the Integration of Foreigners in the Opole Region, which took place in Opole on May 21, 2019. The research was conducted using a deliberative workshop method. The participants of the workshop were representatives of important institutions of the Opole Voivodeship who face the problem of a large number of immigrants from Ukraine. The participants were divided into thematic working groups: culture and religion, health care, public safety, the labour market and education. The article focuses on general problems that affect the functioning of immigrant…