The Distance in General Fuchsian Geometries.

Proc Natl Acad Sci U S A

The Institute for Advanced Study, Princeton, N. J.

Published: December 1940

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1078256PMC
http://dx.doi.org/10.1073/pnas.26.12.700DOI Listing

Publication Analysis

Top Keywords

distance general
4
general fuchsian
4
fuchsian geometries
4
distance
1
fuchsian
1
geometries
1

Similar Publications

Riverbank filtration is a cost-effective and efficient method for drinking water production, using the natural filtration capacity of the river gravelbed. Removal efficiency for organic micropollutants (OMP) in field studies is generally calculated by comparing the concentrations measured in surface water and in the wells either on the same day or with a shift of fixed time interval, neither of which can account for the variability of surface water quality and travel time in the aquifer. The present study proposes a novel method based on travel time distribution determined by a numerical transport model with a hypothesis that it will provide more reliable estimate for OMP removal.

View Article and Find Full Text PDF

Integrating a novel algorithm in assessing the impact of floods on the genetic diversity of a high commercial value fish (Cyprinidae: Spinibarbus sp.) in Lang Son province of Vietnam.

Zoology (Jena)

January 2025

Laboratory of Ecology and Environmental Management, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam; Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam. Electronic address:

Floods, which occur when the amount of precipitation surpasses the capacity of an area to drain it adequately, have detrimental consequences on the survival and future generations of fishes. However, few works have reported the prediction of this natural phenomenon in a relation to certain fish species, especially in fast-flowing rivers. In the specific context of the northern mountainous provinces of Vietnam, where the Spinibarbus sp.

View Article and Find Full Text PDF

Tumors are complex ecosystems of interacting cell types. The concept of cancer hallmarks distills this complexity into underlying principles that govern tumor growth. Here, we explore the spatial distribution of cancer hallmarks across 63 primary untreated tumors from 10 cancer types using spatial transcriptomics.

View Article and Find Full Text PDF

Turning to critical illness is a common stage of various diseases and injuries before death. Patients usually have complex health conditions, while the treatment process involves a wide range of content, along with high requirements for doctor's professionalism and multi-specialty teamwork, as well as a great demand for time-sensitive treatments. However, this is not matched with critical care professionals and the current state of medical care in China.

View Article and Find Full Text PDF

Morphological map of the proximal ulna bare area: a computer-assisted anatomical study in relation to olecranon osteotomy.

J Shoulder Elbow Surg

January 2025

Department of Orthopedics and Trauma, Peking University People's Hospital, Beijing 100044, China; Key Laboratory of Trauma and Neural Regeneration (Peking University), Ministry of Education, Beijing 100044, China; National Center for Trauma Medicine, Peking University People's Hospital, Beijing 100044, China. Electronic address:

Objective: The bare area is defined as a transverse region within the trochlear notch, serving as an optimal entry point for olecranon osteotomy due to the absence of articular cartilage coverage. However, there is limited research on the morphology and location of the bare area, and there is a lack of intuitive visual description. Thus, the purpose of this study is to delineate anatomical features of the bare area and visualize its morphology and refine the olecranon osteotomy approach.

View Article and Find Full Text PDF

Want 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!