Results 81 to 90 of about 10,437 (228)
Spin Leonard pairs and the zero diagonal space
We consider a Leonard pair $A, A^*$ of linear maps on a vector space $V$ that has finite positive dimension. This Leonard pair $A,A^*$ is said to have spin whenever there exist invertible linear maps $W : V \to V$ and $W^* : V \to V$ such that $W A = A W$ and $W^* A^* = A^* W^*$ and $W A^* W^{-1} = (W^*)^{-1} A W^*$.
Nomura, Kazumasa, Terwilliger, Paul
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A characterization of Leonard pairs using the notion of a tail
Linear Algebra and its Applications, 2011 Let $V$ denote a vector space with finite positive dimension. We consider an ordered pair of linear transformations $A: V\to V$ and $A^*: V\to V$ that satisfy (i) and (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 diagonal.
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Deep Learning Integration in Optical Microscopy: Advancements and Applications
Microscopy Research and Technique, EarlyView.It explores the integration of DL into optical microscopy, focusing on key applications including image classification, segmentation, and computational reconstruction. ABSTRACT Optical microscopy is a cornerstone imaging technique in biomedical research, enabling visualization of subcellular structures beyond the resolution limit of the human eye ...
Pottumarthy Venkata Lahari +5 more
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Last‐minute coordination: Adapting to demand to support last‐mile operations
Journal of Operations Management, Volume 71, Issue 2, Page 176-194, March 2025.Abstract In the highly competitive e‐commerce industry, customer‐facing warehouses are crucial as the “order penetration points” for e‐commerce last‐mile operations. This research examines how warehouses use last‐minute coordination, an unstructured mechanism, to ensure sufficient inventory at the order penetration points. Previous research has focused
Kedong Chen +3 more
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Leonard triples from Leonard pairs constructed from the standard basis of the Lie algebra sl2
Linear Algebra and its ApplicationsAbstractLet K denote an algebraically closed field of characteristic zero and d⩾3 denote an integer. An ordered pair of matrices A,A∗ is a Leonard pair on the vector space Kd+1 if we can find invertible matrices S1 and S2∈Md+1(K) such that (i) S1-1AS1 is diagonal and S1-1A∗S1 is irreducible tridiagonal, and (ii) S2-1A∗S2 is diagonal and S2-1AS2 is ...
Balmaceda, Jose Maria P. +1 more
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Journal of the Science of Food and Agriculture, EarlyView.Abstract BACKGROUND Legumes are the primary source of plant protein in both human and livestock diets and, therefore, play an essential role in nutrition. Common vetch (Vicia sativa L.) is a grain legume widely used in animal feed. Its nutritional properties, particularly its high protein content, make it an adequate component to enrich feedstuffs ...
María Isabel López‐Román +4 more
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Krawtchouk polynomials, the Lie algebra sl2, and Leonard pairs
Linear Algebra and its ApplicationsAbstractA Leonard pair is a pair of diagonalizable linear transformations of a finite-dimensional vector space, each of which acts in an irreducible tridiagonal fashion on an eigenbasis for the other one. In the present paper we give an elementary but comprehensive account of how the following are related: (i) Krawtchouk polynomials; (ii) finite ...
Nomura, Kazumasa, Terwilliger, Paul
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A characterization of bipartite Leonard pairs using the notion of a tail
Linear Algebra and its Applications, 2014 21 pages.
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Mid‐Infrared Quantum Scanning Microscopy via Visible Light Beyond Spatial Correlations
Laser &Photonics Reviews, EarlyView.This work introduces a raster‐scanning approach based on quantum imaging with undetected light (QIUL) that probes samples in the mid‐infrared (MIR) spectral range while performing detection in the visible domain. Unlike previous QIUL implementations, this technique operates independently of photon‐pair spatial correlations and relies solely on induced ...
Josué R. León‐Torres +6 more
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Macromolecular Rapid Communications, EarlyView.We report here a new methodology to prepare functional poly(acetylene)s under aqueous conditions. This methodology is underpinned by poly(O‐propargyl‐N‐amino carbamate) (P1), a reactive poly(acetylene) carrying acyl hydrazines. Thus, P1 reacts with aldehydes to give functional poly(acetylene)s, including cationic, hydrophobic, and sugar‐loaded poly ...
Tom Leigh +8 more
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