Results 41 to 50 of about 196,827 (283)
Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continued [PDF]
Richard Stanley played a crucial role, through his work and his students, in the development of the relatively new area known as combinatorial representation theory.
Lenart, Cristian
core
ABSTRACT Background This study investigated how neighborhood‐level social determinants of health (SDOH), including redlining and neurological risk, interact to influence cognitive outcomes in children treated for brain tumors (CTBT). Methods A retrospective chart review of 161 CTBT aged 5–17 was conducted.
Alannah R. Srsich +5 more
wiley +1 more source
Logarithmic Picard groups, chip firing, and the combinatorial rank
Illusie has suggested that one should think of the classifying group of M_X^{gp}-torsors on a logarithmically smooth curve $X$ over a standard logarithmic point as a logarithmic analogue of the Picard group of $X$.
Foster, T. +3 more
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ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi +5 more
wiley +1 more source
A Descriptive View of Combinatorial Group Theory [PDF]
AbstractIn this paper, we will prove the inevitable non-uniformity of two constructions from combinatorial group theory related to the word problem for finitely generated groups and the Higman–Neumann–Neumann Embedding Theorem.
openaire +2 more sources
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
On Products of Random Matrices
We introduce a family of models, which we name matrix models associated with children’s drawings—the so-called dessin d’enfant. Dessins d’enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky).
Natalia Amburg +2 more
doaj +1 more source
Two combinatorial problems in group theory [PDF]
Summary: Sequences of elements from (additive) abelian groups are studied. Conditions under which a nonempty subsequence has sum equal to the group identity \(0\) are established. For example, an \(n\)-sequence with exactly \(k\) distinct terms represents \(0\) if the group has order \(g \leq n+ \binom{k}{2}\) and \(n \geq k\binom{k}{2}\).
Eggleton, R. B., Erdős, Paul
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Rational smoothness, cellular decompositions and GKM theory
We introduce the notion of Q-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Bialynicki-Birula decomposition are all rationally smooth.
Gonzales, R.
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