Results 181 to 190 of about 38,049 (200)
Aging Cell, Volume 24, Issue 6, June 2025.The APOE ε4 allele modifies the temporal change in CSF Aβ42 levels among cognitively normal individuals, with the APOE ε4+ group showing an accelerated decline almost 20 years earlier than the APOE ε4− group. ABSTRACT Revealing the temporal evolution of cerebrospinal fluid (CSF) biomarkers during aging is critical to understanding disease pathogenesis ...
Wei‐Wei Li +14 more
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Area, Volume 57, Issue 2, June 2025.Short Abstract The article examines the contested hydrosocial territory of the Masinga Dam reservoir in Kenya, focusing on how historical injustices, infrastructural temporalities, and spatial reconfigurations shape contemporary contestations over land and water rights.
Arne Rieber, Benson Nyaga
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Tabulating knot mosaics: crossing number 10 or less
Involve. A Journal of Mathematics, 2023The study of knot mosaics is based upon representing knot diagrams using a set of tiles on a square grid. This branch of knot theory has many unanswered questions, especially regarding the efficiency with which we draw knots as mosaics. While any knot or
Aaron Heap +3 more
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The Intersection Polynomials of a Virtual Knot II: Connected Sums
Journal of knot theory and its ramifications, 2023We introduce three kinds of invariants of a virtual knot called the first, second, and third intersection polynomials. The definition is based on the intersection number of a pair of curves on a closed surface.
Ryuji Higa +3 more
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Crossing number bounds in knot mosaics
Journal of knot theory and its ramifications, 2014Knot mosaics are used to model physical quantum states. The mosaic number of a knot is the smallest integer [Formula: see text] such that the knot can be represented as a knot [Formula: see text]-mosaic. In this paper, we establish an upper bound for the
H. Howards, Andrew Kobin
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Crossing numbers and rotation numbers of cycles in a plane immersed graph
Journal of knot theory and its ramifications, 2022For any generic immersion of a Petersen graph into a plane, the number of crossing points between two edges of distance one is odd. The sum of the crossing numbers of all $5$-cycles is odd. The sum of the rotation numbers of all $5$-cycles is even.
Ayumu Inoue +3 more
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Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial
Journal of knot theory and its ramifications, 2019In this paper, we examine the properties of the Jones polynomial using dimensionality reduction learning techniques combined with ideas from topological data analysis.
Jesse S. F. Levitt +2 more
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Ribbon 2-knots of ribbon crossing number four
Journal of knot theory and its ramifications, 2018A [Formula: see text]-knot is a surface in [Formula: see text] that is homeomorphic to [Formula: see text], the standard sphere in [Formula: see text]-space. A ribbon [Formula: see text]-knot is a [Formula: see text]-knot obtained from [Formula: see text]
T. Yasuda
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Minimal Grid Diagrams of the Prime Knots with Crossing Number 13 and Arc Index 13
Journal of knot theory and its ramificationsWe give a list of minimal grid diagrams of the 13 crossing prime nonalternating knots which have arc index 13. There are 9,988 prime knots with crossing number 13. Among them 4,878 are alternating and have arc index 15.
Hwa Jeong Lee +5 more
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