Results 141 to 150 of about 3,545,390 (309)

The fundamental lemma and the Hitchin fibration [after Ngo Bao Chau] [PDF]

arXiv, 2011
This article is a Bourbaki seminar report on Ngo Bao Chau's proof of the fundamental lemma. About thirty years ago, R. P. Langlands conjectured a collection of identities to hold among integrals over conjugacy classes in reductive groups. Ngo Bao Chau has proved these identities (collectively called the fundamental lemma) by interpreting the integrals ...
arxiv  

Flow‐based immunomagnetic enrichment of circulating tumor cells from diagnostic leukapheresis product

Molecular Oncology, EarlyView.
The number of circulating tumor cells obtained from prostate cancer patients was increased approximately 5‐fold compared to regular CellSearch when processing 2 mL diagnostic leukapheresis material aliquots and increased by 44‐fold when processing 20 mL DLA aliquots using the flow enrichment target capture Halbach‐array.
Michiel Stevens, Anouk Mentink, Frank A. W. Coumans, Eshwari Dathathri, Khrystany T. Isebia, Jaco Kraan, Ronald de Wit, John W. M. Martens, Leon W. M. M. Terstappen   +8 more
wiley   +1 more source

Unlocking the potential of tumor‐derived DNA in urine for cancer detection: methodological challenges and opportunities

Molecular Oncology, EarlyView.
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever, Renske D. M. Steenbergen   +1 more
wiley   +1 more source

The relationship of spatial visualization ability and number representation: evidence from multiple tasks

BMC Psychology
It is well established in the literature that the relation of spatial ability and the number representation, but the intrinsic relation of spatial visualization ability and number representation are not well understood.
Mengxia Li, Yuning Chen, Jiahui Yang, Qiangqiang Wang, Xiaolin Ye   +4 more
doaj   +1 more source

Analysis and Design of the Knowledge Representation for the Implementation of a Distributed Reasoning

Revista de Matemática: Teoría y Aplicaciones, 2011
The representation of knowledge and the reasoning comprise fundamental parts of the design of an expert system. In the case under study the real world is represented by the different events that can arise in the operation of a nuclear plant. These events
Martha Mora Torres, Ana Lilia Laureano Cruces, Javier Ramírez Rodríguez, Gilberto Espinosa Paredes   +3 more
doaj   +1 more source

Cuspidal $\ell$-modular representations of $p$-adic classical groups [PDF]

arXiv, 2015
For a classical group over a non-archimedean local field of odd residual characteristic p, we construct all cuspidal representations over an arbitrary algebraically closed field of characteristic different from p, as representations induced from a cuspidal type.
arxiv  

Subpar reporting of pre‐analytical variables in RNA‐focused blood plasma studies

Molecular Oncology, EarlyView.
Pre‐analytical variables strongly influence the analysis of extracellular RNA (cell‐free RNA; exRNA) derived from blood plasma. Their reporting is essential to allow interpretation and replication of results. By evaluating 200 exRNA studies, we pinpoint a lack of reporting pre‐analytical variables associated with blood collection, plasma preparation ...
Céleste Van Der Schueren, Philippe Decruyenaere, Francisco Avila Cobos, Johanna Bult, Jill Deleu, Laudonia Lidia Dipalo, Hetty Hilde Helsmoortel, Eva Hulstaert, Annelien Morlion, Elena Ramos Varas, Kathleen Schoofs, Wim Trypsteen, Eveline Vanden Eynde, Hanne Van Droogenbroeck, Kimberly Verniers, Jo Vandesompele, Anneleen Decock   +16 more
wiley   +1 more source

Flat connections in three-manifolds and classical Chern–Simons invariant

Nuclear Physics B, 2017
A general method for the construction of smooth flat connections on 3-manifolds is introduced. The procedure is strictly connected with the deduction of the fundamental group of a manifold M by means of a Heegaard splitting presentation of M.
Enore Guadagnini, Philippe Mathieu, Frank Thuillier   +2 more
doaj  

Projective representations of fundamental groups of quasiprojective varieties: a realization and a lifting result [PDF]

arXiv, 2014
We discuss two results about projective representations of fundamental groups of quasiprojective varieties. The first is a realization result which, under a nonresonance assumption, allows to realize such representations as monodromy representations of flat projective logarithmic connections. The second is a lifting result: any representation as above,
arxiv  

The representation of smooth functions in terms of the fundamental solution of a linear parabolic equation [PDF]

, 2000
N. A. Watson
openalex   +1 more source