Computably enumerable equivalence relations (ceers) received a lot of attention in the literature. The standard tool to classify ceers is provided by the computable reducibility . This gives rise to a rich degree structure. In this paper, we lift the study of -degrees to the case. In doing so, we rely on the Ershov hierarchy. For any notation for a non-zero computable ordinal, we prove several algebraic properties of the degree structure induced by on the equivalence relations. A special focus of our work is on the (non)existence of infima and suprema of -degrees.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7579322 | PMC |
| http://dx.doi.org/10.1007/s00153-020-00710-1 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
The administration route of indigestible gut permeability markers modulates urinary marker recovery in calves.
JDS Commun
January 2025
Trouw Nutrition Research and Development, 3800 AG, Amersfoort, the Netherlands.
Indigestible gut permeability markers are used to assess gut integrity and can be administered to calves via a milk meal (MM) or orally pulsed (OP). This study investigated how marker administration route (ADM_R) affects the estimation of gut permeability in relation to milk replacer (MR) fat inclusion. Thirty-two newborn Holstein calves were blocked based on their arrival sequence at the facility.
View Article and Find Full Text PDFSecular trends of physical fitness for college students in Anhui Province over the past decade.
BMC Public Health
January 2025
School of Physical Education, Chizhou University, Chizhou, 247000, China.
Background: Since the beginning of the 21st century, China's economy has experienced rapid growth, resulting in a steady improvement in its citizens' living standards. However, alongside the emergence of modern civilization-related health issues, the overall physical fitness of the population has been declining. In the final year of 2019, a global COVID-19 pandemic emerged and persisted for three years, causing a significant diminution in human physical well-being.
View Article and Find Full Text PDFNano urea's environmental edge and economic efficacy in boosting wheat grain yield across diverse Indian agro-climates.
Sci Rep
January 2025
ICAR-Indian Institute of Millets Research, Rajendranagar, Hyderabad, 500 030, Telangana, India.
The gradual increase in the consumption of mineral nitrogen is leading to heightened levels of harmful air pollutants, particularly NO emissions from the agriculture sector. A potential solution to address the issues arising from the excessive use of urea in wheat is the substitution of conventional urea with nano urea. This study aimed to quantify the effects of nano urea, both independently and in conjunction with prilled urea, under various agroclimatic and sowing conditions in India.
View Article and Find Full Text PDFExploring the reproductive exposure risks of phthalates and organophosphates in atmospheric particulate matter based on quantitative structure-activity relationships and network toxicology models.
J Hazard Mater
January 2025
SKL-ESPC and BIC-ESAT, College of Environmental Sciences and Engineering, Peking University, Beijing, China. Electronic address:
Minimal study focused on the association between mixed pollutants in atmospheric particulate matter (PM) and their reproductive health risks. Utilizing a novel quantitative structure-activity relationship (QSAR) integrated machine learning algorithms, we evaluated the mixed reproductive health risks associated with phthalates (PAEs) and organophosphates (OPEs) exposure by assessing the affinities of these compounds binding to estrogen receptors (ER) and androgen receptors (AR). The mixed toxicity equivalent factor (TEF) and mixed toxicity equivalent quantity (TEQ) by the QSAR model were all smaller than the sum TEF and TEQ of individual PAEs and OPEs, which may be due to the antagonistic effect of PAEs and OPEs monomers on reproductive toxicity.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!