Results 61 to 70 of about 10,437 (228)
Transition maps between the 24 bases for a Leonard pair
28 ...
Nomura, Kazumasa, Terwilliger, Paul
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Matrix units associated with the split basis of a Leonard pair
Let $K$ denote a field, and let $V$ denote a vector space over $K$ with finite positive dimension. We consider a pair of linear transformations $A:V \to V$ and $A^*:V \to V$ that satisfy (i), (ii) below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix representing $A^*$ is ...
Nomura, Kazumasa, Terwilliger, Paul
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We describe the functional anatomy of masticatory muscles in nine opossums, finding a generalized anatomical pattern with differences related to skull morphology. Variation in quantitative myological data and estimated bite force was mostly related to size, and the increase in bite force supports dietary diversification associated with size increase ...
Juann A. F. H. Abreu, Diego Astúa
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Abstract Geometric morphometric analyses are used to explore variation of maxillary dental arcades of Australopithecus afarensis, expanding on the work of Hanegraef and Spoor, 2025 (Morphological variation of the Australopithecus afarensis maxilla.
Hester Hanegraef +2 more
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Abstract Muscle architecture is a major determinant of muscle performance and, in mammalian lineages, has been correlated with both feeding ecology and locomotor behaviors. Over the past decade, contrast‐enhanced micro‐CT (DiceCT) has emerged as an alternative to traditional dissection‐based measurement.
Aleksandra Ratkiewicz +5 more
wiley +1 more source
Leonard pairs having zero-diagonal TD-TD form
Fix an algebraically closed field $\mathbb{F}$ and an integer $n \geq 1$. Let $\text{Mat}_n(\mathbb{F})$ denote the $\mathbb{F}$-algebra consisting of the $n \times n$ matrices that have all entries in $\mathbb{F}$. We consider a pair of diagonalizable matrices in $\text{Mat}_{n}(\mathbb{F})$, each acting in an irreducible tridiagonal fashion on an ...
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Some trace formulae involving the split sequences of a Leonard pair
Let $K$ denote a field, and let $V$ denote a vector space over $K$ with finite positive dimension. We consider a pair of linear transformations $A:V \to V$ and $A^*:V \to V$ that satisfy (i), (ii) below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix representing $A^*$ is ...
Nomura, Kazumasa, Terwilliger, Paul
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Zooarchaeological Analysis of an Atoll Assemblage From Central Micronesia
ABSTRACT There has been a dearth of archaeological research on atolls in the central‐eastern Caroline Islands of Micronesia. This has limited our understanding of pre‐contact subsistence and settlement strategies in these more marginal and remote environments, particularly in regards to zooarchaeological data.
Philippa Jorissen +2 more
wiley +1 more source
Multi‐omic profiling reveals immune cell priming signature linked to lupus prognosis
Objective Systemic lupus erythematosus (SLE) is a multi‐organ disease with widespread immune dysregulation and significant unmet clinical need. Blood‐based gene expression studies have advanced our understanding of SLE pathogenesis but may overlook critical tissue‐specific mechanisms that drive disease heterogeneity and progression.
Michael A. Smith +23 more
wiley +1 more source
Objective Rituximab, a CD20+ B cell depletion therapy, is frequently used to treat systemic lupus erythematosus (SLE). However, variability in patient response highlights the need for a deeper understanding of the underlying immune cell dynamics of B cell depletion and repopulation.
Haerin Jang +9 more
wiley +1 more source

