Results 41 to 50 of about 95,969 (262)
Parallel Sum of Bounded Operators with Closed Ranges
Let H be a separable infinite dimensional complex Hilbert space and B(H) be the set of all bounded linear operators on H. In this paper, we present several conditions under which the distributive law of the parallel sum is valid.
Wenting Liang
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ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
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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
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
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Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
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Invariance property of a five matrix product involving two generalized inverses
Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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Electric Vehicle State Parameter Estimation Based on DICI-GFCKF
To improve the estimation accuracy of the state parameters of distributed electric vehicles, a double inverse covariance intersection generalized fifth-order cubature Kalman filter (DICI-GFCKF) es-timation algorithm is proposed.
Zhang Rongyun +5 more
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The Geometry of Generalized Inverses
Summary Generalized inverses of linear transformations must satisfy at least the natural requirement that they are true inverses for appropriately restricted subspaces. There are three other characteristics that may or may not hold independently.
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A -partial isometries and generalized inverses
Let \(A\) be a positive operator in \(B(H)\). One may consider the semi-inner product \(\langle x,y\rangle_A:=\langle Ax, y\rangle\). An operator \(T\in B(H)\) is called \(A\)-adjointable if it is adjointable with respect to \(\langle \cdot,\cdot\rangle_A\). Clearly, an \(A\)-adjoint \(T^\#\) of \(T\) exists if and only if \(AT^\#=T^*A\). Similarly, by
Arias, Maria Laura, Mbekhta, Mostafa
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The cell‐autonomous roles of interferon type 1 vary based on duration and intensity. While acute, robust signaling results in cancer cell cytotoxic effects, sustained, low‐level signaling is associated with tumor‐promoting effects. This review summarizes current research of IFN‐1 in cancer and within the clinical setting, with an emphasis on female ...
Ashlyn Conant +7 more
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