Results 101 to 110 of about 4,706,970 (298)
On the superstability of the cosine and sine type functional equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 In this paper, We study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) and f(xσ(y)a)-f(xya)=2f(x)f(y), where f:S → C is a complex valued function; S is a semigroup; σ is an involution of
Fouad Lehlou +3 more
doaj +1 more source
ON THE SINCOV FUNCTIONAL EQUATION [PDF]
Demonstratio Mathematica, 2005 The author solves the functional equation of Sincov \[ f(x,y)+f(y,z)=f(x,z) \] for mappings taking values in a semigroup satisfying the cancellation law. Then the result is applied to solve a multivalued version of the Sincov equation \[ F(x,y)+^{*} F(y,z)=F(x,z) \] where the values of \(F\) belong to \(clb(X)\) -- the family of all nonempty convex ...
openaire +2 more sources
The approximate functional equation of some Diophantine series. [PDF]
Mon Hefte Math, 2023 Chamizo F, Martin B.
europepmc +1 more source
MITF maintains genome stability in nonmelanocyte lineages
Molecular Oncology, EarlyView.MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
wiley +1 more source
Loss of proton‐sensing TDAG8 increases tumor progression in mouse models of colon cancer
Molecular Oncology, EarlyView.Loss of the pH‐sensing receptor TDAG8 accelerates colorectal cancer progression in mice. Animals lacking TDAG8 expression had increased tumor growth, DNA damage, and recruitment of tumor‐associated immune cells, including macrophages, neutrophils, and monocytes.
Ermanno Malagola +11 more
wiley +1 more source
Mixed-type functional differential equations: A numerical approach [PDF]
, 2007 This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Journal of Computational and Applied Mathematics and is available at www.elsevier.comThis preprint discusses mixed-type functional ...
Ford, Neville J., Lumb, Patricia M.
core +1 more source
Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
On a functional equation [PDF]
, 1971 summary:A problem of strategy by consecutive choices in Banach space is considered. The best result for the increasing number of steps is given by a functional equation.
Alda, Václav
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Nearly General Septic Functional Equation
, 2021 If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping.
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source