This article examines the asymptotic behavior of the Widom factors, denoted Wn, for Chebyshev polynomials of finite unions of Jordan arcs. We prove that, in contrast to Widom’s proposal in Widom (Adv Math 3:127–232, 1969), when dealing with a single smooth Jordan arc, Wn converges to 2 exclusively when the arc is a straight line segment. Our main focus is on analysing polynomial preimages of the i

The paper presents a work in progress which is part of a larger study. Studentslearning analysis was investigated with the aim to find out how their concept images changed from the beginning of an analysis course to a year after the course. Their links between concepts were studied after the year had passed. The influence of the students’ pre-knowledge was durable and sometimes prevented students

Based on a new deep drilling on southern Gotland (Sweden), this study is the first to document the carbon isotope chemostratigraphy of the Upper Ordovician through lowermost Silurian sedimentary record from the central parts of the Baltic Sea subsurface. The lithological record of the Stora Sutarve core has similarities with adjacent successions in both the Viki core in the East Baltic area and th

Students’ learning developments of limits were studied in a calculus course. Theiractions, such as problem solving and reasoning, were considered traces of theirmental representations of concepts and were used to describe the developmentsduring a semester. Several students went through the course with a vague conception of limits which in some cases was wrong. A higher awareness about their mental

The transformation of complex spatial and temporal patterns into mapped and recorded archaeological data requires archaeologists to translate temporally non-distinct processes of exploration into a series of visual recordings of distinct moment of discovery. These visual records, produced by articulating key moments in the excavation process as cleaned and documentable contexts and finds, form a cThe transformation of complex spatial and temporal patterns into mapped and recordedarchaeological data requires archaeologists to translate temporally non-distinct processes ofexploration into a series of visual recordings of distinct moment of discovery. These visual records,produced by articulating key moments in the excavation process as cleaned and documentablecontexts and finds, form a colla

The ratio of production cross-sections of ψ(2S) over J/ψ mesons as a function of charged-particle multiplicity in proton-proton collisions at a centre-of-mass energy s = 13 TeV is measured with a data sample collected by the LHCb detector, corresponding to an integrated luminosity of 658 pb−1. The ratio is measured for both prompt and non-prompt ψ(2S) and J/ψ mesons. When there is an overlap betwe

Most concepts taught in a basic analysis course at university are somewhatfamiliar to the students. They use their representations from prior experiences toform new knowledge about the concepts. Fifteen students’ were examined at thebeginning of a basic university course in analysis. Their pre-knowledge wassometimes vague and even wrong, often due to intuitive perceptions.

In this report, we analyse attrition at the two most recent data collection points of the longitudinal Swedish project “Deliberate self-harm, emotion regulation, and interpersonal relations in youth”, that collected survey data from the same cohort in 2007 (T1), 2008 (T2), 2017 (T3), and 2023 (T4). We compared T4 responders and non-responders using variables assessed at T1−T3, and T3 responders an

A group of pre-service teachers were studied from two social practices, as teachers and as students. Their perceptions of mathematics concepts and beliefs about the mathematics teacher role were studied through questionnaires, interviews and classroom observations. Three students were selected as cases in this paper where their links between the concepts limits, derivatives, integrals and continui

The cross-section of associated J/ψ-ψ(2S) production in proton-proton collisions at a centre-of-mass energy of (Formula presented.) TeV is measured using a data sample corresponding to an integrated luminosity of 4.2 fb−1, collected by the LHCb experiment. The measurement is performed for both J/ψ and ψ(2S) mesons having transverse momentum pT< 14 GeV/c and rapidity 2.0 < y < 4.5, assuming negligi