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Operations preserving regular languages
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Jean Berstel +4 more
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Operators on Spaces of Bounded Vector-Valued Continuous Functions with Strict Topologies
Let X be a completely regular Hausdorff space, and let (E,‖·‖E) and (F,‖·‖F) be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded, continuous functions defined on X, equipped with the strict topologies βz, where z=σ,∞,p,τ,t.
Marian Nowak
doaj +1 more source
Systems of two linear functional differential equations of the first order with regular operators are considered. General necessary and sufficient conditions for the unique solvability of the periodic problem are obtained.
Eugene Bravyi
doaj +1 more source
Thirty-first Illinois Custom Spray Operators Training School: summaries of presentations [PDF]
Made available in DSpace on 2016-03-17T21:24:49Z (GMT). No. of bitstreams: 2 749322_1979.pdf: 25608937 bytes, checksum: a190a7b2270aef124526f80493eb0a69 (MD5) license.txt: 4846 bytes, checksum: 927d59ba442de31571446841df3d90ca (MD5) Previous issue date:
Illinois Custom Spray Operators' School
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Regularity for Eigenfunctions of Schrödinger Operators [PDF]
We prove a regularity result in weighted Sobolev spaces (or Babuska--Kondratiev spaces) for the eigenfunctions of a Schrödinger operator. More precisely, let K_{a}^{m}(\mathbb{R}^{3N}) be the weighted Sobolev space obtained by blowing up the set of singular points of the Coulomb type potential V(x) = \sum_{1 \le j \le N} \frac{b_j}{|x_j|} + \sum_{1 \le
Nistor, Victor +2 more
openaire +4 more sources
Twenty-eighth Illinois Custom Spray Operators' Training School: summaries of presentations [PDF]
Made available in DSpace on 2016-03-17T21:24:46Z (GMT). No. of bitstreams: 2 749322_1976.pdf: 26589794 bytes, checksum: c1ff1cdfd0fd85c1cb6b4f7646d0d1aa (MD5) license.txt: 4846 bytes, checksum: 927d59ba442de31571446841df3d90ca (MD5) Previous issue date:
Illinois Custom Spray Operators' School
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Solving the $4 \times 4$ quantum Yang-Baxter equation
In this paper, we complete the classification of $4×4$ analytic solutions of the Yang–Baxter equation. Regular solutions were recently classified and in this paper we find the remaining non-regular solutions.
Marius de Leeuw, Vera Posch
doaj +1 more source

