Results 111 to 120 of about 4,706,970 (298)

On Ulam Stability of the Davison Functional Equation in m-Banach Spaces

Axioms
We prove new Ulam stability results for the Davison functional equation, in the class of mappings h from a ring F into an m-Banach space. In this way, we complement several earlier outcomes, by extending them to the case of m-normed spaces.
El-sayed El-hady, Janusz Brzdęk
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

Optimal significance tests in simultaneous equation models [PDF]

Consider testing the null hypothesis that a single structural equation has specified coefficients. The alternative hypothesis is that the relevant part of the reduced form matrix has proper rank, that is, that the equation is identified. The usual linear
Theodore W Anderson
core  

A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]

, 2005
We consider a family of integro-differential equations depending upon a parameter b as well as a symmetric integral kernel g(x). When b=2 and g is the peakon kernel (i.e.
N W Hone, Darryl D Holm, Holm, Darryl D., Hone, Andrew N.W.   +3 more
core   +1 more source

Solution of a singular integral equation by a split-interval method

, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J., Lima, Pedro M., Thomas, Sophy M., Diogo, Teresa   +3 more
core   +2 more sources

Circulating microRNA signatures of cachexia and cancer in Canis familiaris as a comparative oncology model for human disease

Molecular Oncology, EarlyView.
Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park, Kyongman An, Gyeonghwa Kim, Soo‐Nyun Choi, Hong‐Ki Lee, Keun Hur, Kyu‐Shik Jeong   +6 more
wiley   +1 more source

A FUNCTIONAL EQUATION WITH RESTRICTED ARGUMENT RELATED TO COSINE FUNCTION

, 2019
[[abstract]]Let G be an abelian group, C be the field of complex numbers, and 0 6≠α∈ G be a fixed element. In this paper, we determine the general solution f, g : G→C of the functional equation f(x-y+α)+g(x+y+α) = 2 f(x) f(y) for all x; y ∈
PRASANNA SAHOO
core  

Density Functional Theory and the Kohn–Sham Equation

, 2010
The basic formulas of density functional theory (DFT) are derived, together with a discussion about the form and accuracy of different approximations to the energy functional used in DFT.
Mebarek Alouani, Oleksiy Grechnyev, Wills, John M.,, Eriksson, Olle,, Per Andersson, Anna Delin, Delin, Anna,, Olle Eriksson, Grechnyev, Oleksiy,, John M. Wills, Alouani, Mebarek,, Andersson, Per,   +11 more
core   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

Molecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach, Gizem Abaci, Tom Huberty, Axel Lechner, Lukas Käsmann, Jens Ricke, Sophia Stöcklein, Martin Canis, Philipp Baumeister, Marianna Alunni‐Fabbroni   +9 more
wiley   +1 more source

Epigenetic silencing of the liver‐specific lncRNA LUNAR promotes liver cancer progression via NOTCH activation

Molecular Oncology, EarlyView.
LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang, Hyung Seok Kim, Geum Ok Baek, Moon Gyeong Yoon, Su In Lee, Jee‐Yeong Jeong, Ji Eun Han, Soon Sun Kim, Jae Youn Cheong, Jung Woo Eun   +9 more
wiley   +1 more source