Results 51 to 60 of about 138,809 (284)

Adjoint and self-adjoint differential operators on graphs

Electronic Journal of Differential Equations, 1998
A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph.
Robert Carlson
doaj  

Completely Continuous Inverses of Ordinary Differential Operators [PDF]

Proceedings of the American Mathematical Society, 1969
Many important properties, such as the absence of essential spectrum, follow when an ordinary differential operator comes from a differential expression such that the minimal operator has completely continuous inverse. This always happens in the case of a compact interval. On infinite intervals it happens much less frequently, however.
openaire   +2 more sources

Methylation biomarkers can distinguish pleural mesothelioma from healthy pleura and other pleural pathologies

Molecular Oncology, EarlyView.
We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck, Nele De Meulenaere, Thomas Vanpoucke, Joe Ibrahim, Dieter Peeters, Suresh Krishan Yogeswaran, Wen Wen, Paul Van Schil, Jeroen M. H. Hendriks, Jo Raskin, Jan van Meerbeeck, Guy Van Camp, Ken Op de Beeck   +12 more
wiley   +1 more source

Ordinary and calibrated differential operators, connections and application to curvilinear webs

Pracì Mìžnarodnogo Geometričnogo Centru
Abelian relations of a curvilinear web are the solutions of the partial differential equation defined by a certain differential operator that we prove to be always "ordinary" and "calibrated".
Daniel Lehmann
doaj   +1 more source

Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model

, 2005
We first study the properties of the Fuchsian ordinary differential equations for the three and four-particle contributions $ \chi^{(3)}$ and $ \chi^{(4)}$ of the square lattice Ising model susceptibility.
, , Arnold V I, Bateman H, Berman P, Boos H E, Borwein J M, Braaksma B L J, Broadhurst D J, Broadhurst D J, Broadhurst D J, Cabral-Rosetti L G, Chazy J, Davenport J H, Flajolet P, Flajolet P, Forsyth A R, Garnier R, Grunberg G, Guttmann A J, Hanna M, Harnad J, Ince H K, J-M Maillard, Jimbo M, Jimbo M, Katz N, Krattenthaler C, Krattenthaler C, Krattenthaler C, Liu Z-G, Maillard J M, Milne S C, N Zenine, Nappi C R, Nickel B, Nickel B, Nickel B, Ohyama Y, Ramanujan S, Rivoal T, S Boukraa, S Hassani, Salvy B, Singer M F, Tracy C A, Van der PutMand SingerMF, Van der Waal A, Van Hoeij M, Weil J-A, Weil J-A, Zenine N, Zenine N, Zenine N, Zenine N, Zenine N   +55 more
core   +3 more sources

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Multistep Filtering Operators for Ordinary Differential Equations [PDF]

, 1999
Interval methods for ordinary differential equations (ODEs) provide guaranteed enclosures of the solutions and numerical proofs of existence and unicity of the solution. Unfortunately, they may result in large over-approximations of the solution because of the loss of precision in interval computations and the wrapping effect.
Janssen, M., Deville, Yves, Van Hentenryck, P., 5th International Conference on Principles and Practice of Constraint Programming (CP 99)   +3 more
openaire   +2 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

Realization of the N(odd)-dimensional Quantum Euclidean Space by Differential Operators

, 2003
The quantum Euclidean space R_{q}^{N} is a kind of noncommutative space which is obtained from ordinary Euclidean space R^{N} by deformation with parameter q. When N is odd, the structure of this space is similar to R_{q}^{3}. Motivated by realization of
Jing, Sicong, Li, Yun
core   +1 more source

On Factorizations of Selfadjoint Ordinary Differential Operators [PDF]

Proceedings of the American Mathematical Society, 1982
Consider an ordinary linear differential operator L L , of order n ⩾ 1 n \geqslant 1 , represented by L u ≡ a n ( t ) u ( n )
openaire   +2 more sources