Integrating Lateral Super-Resolution and Axial Progression Reveals Distinct Clathrin Pit Formation Pathways. [PDF]
Thompson C +3 more
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Impact of Photodynamic Diagnosis on Immune Cell Infiltration in BCG-treated Non-muscle-invasive Bladder Cancer. [PDF]
Andreasen TG +5 more
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Letter to the Editor regarding "Cysteine metabolism dysregulation promotes ferroptosis in osteoarthritis: Insights from multi-species bioinformatics and experimental validation". [PDF]
Ni Y, Liu B.
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Renal Amyloidosis: An Approach to Uniform Biopsy Reporting. [PDF]
Ray M, Mishra B, Sahoo N, Mohanty B.
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Machine Learning-Based Prediction of Lower Extremity Deep Vein Thrombosis in Patients with Acute Exacerbation of Chronic Obstructive Pulmonary Disease. [PDF]
Zhou L +5 more
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The direct sum of q-matroids [PDF]
For classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for q-matroids, the q-analogue of matroids.
Michela Ceria, Relinde Jurrius
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On the Validity of the Direct Sum Conjecture
SIAM Journal on Computing, 1986The direct sum conjecture states that the multiplicative complexity of disjoint sets of bilinear computations is the sum of their separate multiplicative complexities. This conjecture is known to hold for only a few specialized cases. In this paper, we establish its validity for large classes of computations.
Jean Takche
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Sum and direct sum of frame sequences
Linear and Multilinear Algebra, 2013Casazza, Han and Larson characterized various properties of the direct sum of two frame sequences. We add characterizations of other properties and study the relationship between the direct sum and the sum of frame sequences. In particular, we find a necessary and sufficient condition for the sum of two strongly disjoint (orthogonal) frame sequences ...
Jae Kun Lim, Yoo Young Koo
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