scholarly journals Irreducible polynomials in Int(ℤ)

2018 ◽  
Vol 20 ◽  
pp. 01004 ◽  
Author(s):  
Austin Antoniou ◽  
Sarah Nakato ◽  
Roswitha Rissner
Keyword(s):  
Computational Method ◽  
Irreducible Polynomials ◽  
Open Questions ◽  
Irreducible Elements

In order to fully understand the factorization behavior of the ring Int(ℤ) = {f ∈ ℚ[x] | f (ℤ) ⊆ ℤ} of integer-valued polynomials on ℤ, it is crucial to identify the irreducible elements. Peruginelli [8] gives an algorithmic criterion to recognize whether an integer-valued polynomial g/d] is irreducible in the case where d is a square-free integer and g ∈ ℤ[x] has fixed divisor d. For integer-valued polynomials with arbitrary composite denominators, so far there is no algorithmic criterion known to recognize whether they are irreducible. We describe a computational method which allows us to recognize all irreduciblexc polynomials in Int(ℤ). We present some known facts, preliminary new results and open questions.

scholarly journals Some Algebraic Properties of Polynomial Rings

2016 ◽  
Vol 24 (3) ◽  
pp. 227-237 ◽  
Author(s):  
Christoph Schwarzweller ◽  
Artur Korniłowicz ◽  
Agnieszka Rowinska-Schwarzweller
Keyword(s):  
Algebraic Theory ◽  
Polynomial Rings ◽  
Canonical Embedding ◽  
Irreducible Polynomials ◽  
Irreducible Elements ◽  
Algebraic Properties ◽  
The One

Abstract In this article we extend the algebraic theory of polynomial rings, formalized in Mizar [1], based on [2], [3]. After introducing constant and monic polynomials we present the canonical embedding of R into R[X] and deal with both unit and irreducible elements. We also define polynomial GCDs and show that for fields F and irreducible polynomials p the field F[X]/<p> is isomorphic to the field of polynomials with degree smaller than the one of p.

What’s Next?

2011 ◽  
Vol 23 (1) ◽  
pp. 60-63 ◽  
Author(s):  
Peter Vorderer
Keyword(s):  
Cultural Differences ◽  
Factor Model ◽  
New Developments ◽  
Theoretical Concepts ◽  
Open Questions ◽  
Entertainment Products ◽  
Entertainment Theory

This paper points to new developments in the context of entertainment theory. Starting from a background of well-established theories that have been proposed and elaborated mainly by Zillmann and his collaborators since the 1980s, a new two-factor model of entertainment is introduced. This model encompasses “enjoyment” and “appreciation” as two independent factors. In addition, several open questions regarding cultural differences in humans’ responses to entertainment products or the usefulness of various theoretical concepts like “presence,” “identification,” or “transportation” are also discussed. Finally, the question of why media users are seeking entertainment is brought to the forefront, and a possibly relevant need such as the “search for meaningfulness” is mentioned as a possible major candidate for such an explanation.

Dose Tracker Application for Collecting Medication Use Data from International Space Station Crew

2020 ◽  
Vol 91 (1) ◽  
pp. 41-45 ◽  
Author(s):  
Virginia. E. Wotring ◽  
LaRona K. Smith
Keyword(s):  
Data Collection ◽  
International Space Station ◽  
Sleep Disturbances ◽  
Space Station ◽  
Medication Use ◽  
International Space ◽  
Flight Data ◽  
Open Questions ◽  
Share Data ◽  
Usability Feedback

INTRODUCTION: There are knowledge gaps in spaceflight pharmacology with insufficient in-flight data to inform future planning. This effort directly addressed in-mission medication use and also informed open questions regarding spaceflight-associated changes in pharmacokinetics (PK) and/or pharmacodynamics (PD).METHODS: An iOS application was designed to collect medication use information relevant for research from volunteer astronaut crewmembers: medication name, dose, dosing frequency, indication, perceived efficacy, and side effects. Leveraging the limited medication choices aboard allowed a streamlined questionnaire. There were 24 subjects approved for participation.RESULTS: Six crewmembers completed flight data collection and five completed ground data collection before NASA’s early study discontinuation. There were 5766 medication use entries, averaging 20.6 ± 8.4 entries per subject per flight week. Types of medications and their indications were similar to previous reports, with sleep disturbances and muscle/joint pain as primary drivers. Two subjects treated prolonged skin problems. Subjects also used the application in unanticipated ways: to note drug tolerance testing or medication holiday per research protocols, and to share data with flight surgeons. Subjects also provided usability feedback on application design and implementation.DISCUSSION: The volume of data collected (20.6 ± 8.4 entries per subject per flight week) is much greater than was collected previously (<12 per person per entire mission), despite user criticisms regarding app usability. It seems likely that improvements in a software-based questionnaire application could result in a robust data collection tool that astronauts find more acceptable, while simultaneously providing researchers and clinicians with useful data.Wotring VE, Smith LK. Dose tracker application for collecting medication use data from International Space Station crew. Aerosp Med Hum Perform. 2020; 91(1):41–45.

DAMPAK PROGRAM DIKLAT ONLINE TIK GURU PUSTEKKOM TERHADAP AKSESBILITAS KONTEN PEMBELAJARAN PADA FITUR RUMAH BELAJAR

2018 ◽  
Vol 19 (2) ◽  
pp. 84
Author(s):  
Eni Susilawati
Keyword(s):  
Teacher Training ◽  
Quantitative Research ◽  
Online Training ◽  
Research Approach ◽  
Intensity Level ◽  
Web Based ◽  
Learning Content ◽  
Open Questions ◽  
Ict Training ◽  
The Impact

The research objective is to analyze the impact of the participation of online  ICT teacher training to increase the number of accessibility the learning content of features in Rumah Belajar. This research used the quantitative research approach with descriptive quantitative analysis methods to be able to describe how the increase in accessibility features of Rumah Belajar and utilization in learning in school. Samples were selected in this study are all online training participants at 15 locations online training that has been conducted by Pustekkom in 2015 and 2016 in 2015. The data was collected using a questionnaire and a list of open questions in accordance with the purpose of research. The results showed that 1) online ICT teacher training participants, after completing the Pustekkom  training online  using become more motivated to access other feature in Rumah Belajar; 2) The order of the percentage of the intensity level of accessibility to the other features of Rumah Belajar are: Sumber Belajar 23%, BSE 23%, Bank Soal 21%, Kelas Maya 13%, Lab Maya 6%, Karya Guru 4%, Wahana Jelajah Angkasa 4%, Peta Budaya 4% and Karya Komunitas 2%, and ICT training online using the application PKB Rumah Belajar can be used as a reference for efforts to develop a web-based learning applications, in particular for the development of Rumah belajar portal belongs Pustekkom Kemendikbud. Tujuan penelitian yaitu untuk menganalisis dampak keikutsertaan diklat online  TIK guru Belajar terhadap peningkatan jumlah aksebilitas konten pembelajaran pada fitur-fitur rumah belajar. Penelitian ini menggunakan pendekatan penelitian kuantitatif dengan metode analisis kuantitatif secara deskriptif untuk bisa menggambarkan bagaimana peningkatan aksesbilitas fitur-fitur rumah belajar dan pemanfaatannya dalam pembelajaran di sekolah. Sampel yang dipilih dalam penelitian ini adalah semua peserta diklat online  pada 15 lokasi diklat online yang telah dilaksanakan oleh Pustekkom pada tahun 2015 dan 2016. Pengumpulan data menggunakan kuesioner dan daftar pertanyaan terbuka sesuai dengan tujuan penelitian. Hasil penelitian menunjukkan bahwa 1) peserta diklat online TIK Guru, setelah mengikuti diklat online Pustekkom, menjadi lebih termotivasi untuk mengakses fitur-fitur lainnya dalam Rumah Belajar; 2) Urutan prosentase tingkat intensitas aksesbilitas terhadap fitur-fitur Rumbel selain Pengembangan Keprofesian berkelanjutan (PKB) adalah: Sumber Belajar 23%, Buku Sekolah Elektronik (BSE) 23%, Bank Soal 21%, Kelas Maya 13%, Lab Maya 6%, Karya Guru 4%, Wahana Jelajah Angkasa 4%, Peta Budaya 4% dan Karya Komunitas 2%; dan 3) diklat online TIK menggunakan aplikasi PKB. Rumah belajar bisa dijadikan referensi bagi upaya pengembangan aplikasi pembelajaran berbasis web, khususnya bagi pengembangan portal Rumah Belajar milik Pustekkom Kemendikbud.

Revisiting the High-Pressure Properties of the Metal-Organic Frameworks ZIF-8 and ZIF-67

2020 ◽  
Author(s):  
Pia Vervoorts ◽  
Stefan Burger ◽  
Karina Hemmer ◽  
Gregor Kieslich
Keyword(s):  
High Pressure ◽  
State Of The Art ◽  
Energy Landscape ◽  
Structural Flexibility ◽  
Zeolitic Imidazolate Frameworks ◽  
Stimuli Responsive ◽  
X Ray Diffraction ◽  
X Ray ◽  
Open Questions ◽  
Metal Organic

The zeolitic imidazolate frameworks ZIF-8 and ZIF-67 harbour a series of fascinating stimuli responsive properties. Looking at their responsitivity to hydrostatic pressure as stimulus, open questions exist regarding the isotropic compression with non-penetrating pressure transmitting media. By applying a state-of-the-art high-pressure powder X-ray diffraction setup, we revisit the high-pressure behaviour of ZIF-8 and ZIF-67 up to <i>p</i> = 0.4 GPa in small pressure increments. We observe a drastic, reversible change of high-pressure powder X-ray diffraction data at <i>p</i> = 0.3 GPa, discovering large volume structural flexibility in ZIF-8 and ZIF-67. Our results imply a shallow underlying energy landscape in ZIF-8 and ZIF-67, an observation that might point at rich polymorphism of ZIF-8 and ZIF-67, similar to ZIF-4(Zn).<br>

Revisiting the High-Pressure Properties of the Metal-Organic Frameworks ZIF-8 and ZIF-67

2020 ◽  
Author(s):  
Pia Vervoorts ◽  
Stefan Burger ◽  
Karina Hemmer ◽  
Gregor Kieslich
Keyword(s):  
High Pressure ◽  
State Of The Art ◽  
Energy Landscape ◽  
Structural Flexibility ◽  
Zeolitic Imidazolate Frameworks ◽  
Stimuli Responsive ◽  
X Ray Diffraction ◽  
X Ray ◽  
Open Questions ◽  
Metal Organic

The zeolitic imidazolate frameworks ZIF-8 and ZIF-67 harbour a series of fascinating stimuli responsive properties. Looking at their responsitivity to hydrostatic pressure as stimulus, open questions exist regarding the isotropic compression with non-penetrating pressure transmitting media. By applying a state-of-the-art high-pressure powder X-ray diffraction setup, we revisit the high-pressure behaviour of ZIF-8 and ZIF-67 up to <i>p</i> = 0.4 GPa in small pressure increments. We observe a drastic, reversible change of high-pressure powder X-ray diffraction data at <i>p</i> = 0.3 GPa, discovering large volume structural flexibility in ZIF-8 and ZIF-67. Our results imply a shallow underlying energy landscape in ZIF-8 and ZIF-67, an observation that might point at rich polymorphism of ZIF-8 and ZIF-67, similar to ZIF-4(Zn).<br>

Sign in / Sign up

Export Citation Format

Share Document