Results 101 to 110 of about 4,720,579 (297)

Discrete approximation of the free Fock space

, 2008
We prove that the free Fock space ${\F}(\R^+;\C)$, which is very commonly used in Free Probability Theory, is the continuous free product of copies of the space $\C^2$.
Nechita, Ion, Attal, Stéphane
core   +5 more sources

Spatial heterogeneity of hotspot mutations and clonal relatedness in ovarian endometrioid carcinoma

Molecular Oncology, EarlyView.
Spatially resolved analysis revealed heterogeneous distributions of selected cancer‐associated mutations within ovarian endometrioid carcinomas. Shared mutations between paired endometrial and ovarian tumors supported clonal relatedness. These findings highlight the value of sampling multiple tumor regions when interpreting molecular profiles ...
Takahito Ashihara, Kosuke Murakami, Shiro Takamatsu, Akiko Kanto, Seiichi Mori, Tomoyuki Otani, Kazuko Sakai, Yasushi Kotani, Kazuto Nishio, Kaoru Abiko, Noriomi Matsumura   +10 more
wiley   +1 more source

Maximum Unique Coverage on Streams: Improved FPT Approximation Scheme and Tighter Space Lower Bound [PDF]

We consider the Max Unique Coverage problem, including applications to the data stream model. The input is a universe of n elements, a collection of m subsets of this universe, and a cardinality constraint, k.
Gan, Junhao, Wirth, Anthony, Cervenjak, Philip, Umboh, Seeun William   +3 more
core   +1 more source

The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection

Molecular Oncology, EarlyView.
Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński, Krzysztof Pastuszak, Anna Samelak‐Czajka, Zuzanna Cemka, Paulina Jackowiak, Tomasz Stefaniak, Sylwia Łapińska‐Szumczyk, Jacek Jassem, Anna J. Żaczek, Matthew T. Rondina, Myron G. Best, Sjors G. J. G. In 't Veld, Anna Supernat   +12 more
wiley   +1 more source

On Diminishing Fuzzy Neutrosophic Topological Spaces over Nano Topology [PDF]

Neutrosophic Sets and Systems
As an extension and also, a necessity to compute the indeterminacy, the concept of diminishing fuzzy sets is protracted to introduce the conception of diminishing fuzzy (single-valued) neutrosophic sets in the standard unit interval.
Jansirani N, Vasugi T, Kamal Nasir V
doaj   +1 more source

Approximation Space on Novel Granulations

Journal of the Egyptian Mathematical Society, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allam, Ahmad A., Bakeir, Mohammad Y., Abo-Tabl, El-Sayed A.   +2 more
openaire   +2 more sources

An outer membrane vesicle‐associated two‐track model for enterotoxigenic Bacteroides fragilis oncogenesis

Molecular Oncology, EarlyView.
Enterotoxigenic Bacteroides fragilis is a gut bacterium linked to bowel cancer. We propose that its toxin acts along two routes: at the cell surface, cutting the adhesion protein E‐cadherin and triggering inflammation; and inside the cell, delivered by bacterial vesicles, switching on NOD1 and cancer stem cell programs.
Kangchan Choi, Sang‐Hyeon Yoo, Ki‐Jong Rhee   +2 more
wiley   +1 more source

Finite dimensional approximation and Newton-based algorithm for stochastic approximation in Hilbert space

, 2009
This paper presents a finite dimensional approach to stochastic approximation in infinite dimensional Hilbert space. The problem was motivated by applications in the field of stochastic programming wherein we minimize a convex function defined on a ...
Borkar, Vivek S., Kulkarni, Ankur A., Vivek S. Borkar, Ankur A. Kulkarni   +3 more
core   +1 more source

Automated FRAP microscopy for high‐throughput analysis of protein dynamics in chromatin organization and transcription

FEBS Open Bio, EarlyView.
RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz, Bart Geverts, Johan A. Slotman, Andrea Sacchetti, Stefan Prekovic, Martin E. van Royen, Adriaan B. Houtsmuller   +6 more
wiley   +1 more source

Approximation properties for discrete groups

, 2006
We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core   +1 more source