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CATEGORICAL GROUPS, KNOTS AND KNOTTED SURFACES [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2007
We define a knot invariant and a 2-knot invariant from any finite categorical group. We calculate an explicit example for the Spun Trefoil.
openaire   +3 more sources

NONPARAMETRIC REGRESSION MODELING USING THE SPLINE APPROACH TO STUNTING CASES IN INDONESIA

open access: yesBarekeng
Indonesia is the fourth ranked country in the world and second in Southeast Asia with the highest stunting cases of 21.6%. According to the provisions of the World Health Organization (WHO), the maximum tolerance standard for stunted toddlers is 20 ...
Mohamat Fatekurohman   +2 more
doaj   +1 more source

TWIST-SPUN KNOTS OF TWIST-SPUN KNOTS OF CLASSICAL KNOTS

open access: yesTạp chí Khoa học Đại học Đà Lạt
A k-twist-spun knot is an (n+1)-dimensional knot in the (n+3)-dimensional sphere that is obtained from an n-dimensional knot in the (n+2)-dimensional sphere by applying an operation called a k-twist-spinning.
Mizuki Fukuda, Masaharu Ishikawa
doaj   +1 more source

Proof of the volume conjecture for Whitehead doubles of a family of torus knots

open access: yes, 2006
A technique to calculate the colored Jones polynomials of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of a family of torus knots and show some interesting ...
Hao Zheng   +7 more
core   +3 more sources

Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas   +39 more
wiley   +1 more source

The Alexander polynomial of (1,1)-knots

open access: yes, 2005
In this paper we investigate the Alexander polynomial of (1,1)-knots, which are knots lying in a 3-manifold with genus one at most, admitting a particular decomposition.
Cattabriga, Alessia
core   +2 more sources

Dense Nanofibrillar Collagen–Silica Hybrids with High Strength and ECM‐Mimetic Tissue Integration

open access: yesAdvanced Functional Materials, EarlyView.
Dense nanofibrillar collagen–silica hybrids are engineered by synchronizing collagen fibrillogenesis with silica condensation, producing printable scaffolds that unexpectedly approach native extracellular matrix organization and strength. These cell‐free constructs guide endogenous cell‐infiltration, enable localized matrix remodeling, and integrate ...
Norein Norein   +7 more
wiley   +1 more source

Unknotting the interactive effects of learning processes on cultural evolutionary dynamics

open access: yesEvolutionary Human Sciences, 2019
Forms of non-random copying error provide sources of inherited variation yet their effects on cultural evolutionary dynamics are poorly understood. Focusing on variation in granny and reef knot forms, we present a mathematical model that specifies how ...
Lauren A. Scanlon   +3 more
doaj   +1 more source

2-knots with solvable group

open access: yes, 2009
We complete the TOP classification of 2-knots with torsion-free, solvable knot group by showing that fibred 2-knots with closed fibre the Hantzsche-Wendt flat 3-manifold $HW$ are not reflexive, while every fibred 2-knot with closed fibre a $\mathbb{N}il ...
Hillman, Jonathan A.
core   +2 more sources

Thermo‐Mechanically Recyclable Smart Textiles from Circularly Knitted Liquid Crystal Elastomer Fibers

open access: yesAdvanced Functional Materials, EarlyView.
Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan   +8 more
wiley   +1 more source

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