Results 101 to 110 of about 2,012,091 (336)
Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions
Discrete Dynamics in Nature and Society, 2014 Hyers-Ulam stability is a basic sense of stability for functional equations. In the present paper we discuss the Hyers-Ulam stability of a kind of iterative equations in the class of Lipschitz functions.
Chao Xia, Wei Song
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Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma
Molecular Oncology, EarlyView.Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra +6 more
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Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds
MathematicsWe introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp.
Yushuang Fan, Tao Zheng
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A class of elliptic equations in anisotropic spaces [PDF]
, 2011 Lucas C. F. Ferreira +2 more
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COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells
Molecular Oncology, EarlyView.This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos +6 more
wiley +1 more source
Uniformly polynomially stable approximations for a class of second order evolution equations [PDF]
, 2013 Zayd Hajjej
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On a class of diophantine equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Cohn (1971) has shown that the only solution in positive integers of the equation Y(Y + 1)(Y + 2)(Y + 3) = 2X(X + 1)(X + 2)(X + 3) is X = 4, Y = 5. Using this result, Jeyaratnam (1975) has shown that the equation Y(Y + m)(Y + 2m)(Y + 3m) = 2X(X + m)(X + 2m)(X + 3m) has only four pairs of nontrivial solutions in integers given by X = 4m or −7m, Y = 5m ...
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Molecular Oncology, EarlyView.Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen +11 more
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A SHALLOW WATER EQUATION BASED ON DISPLACEMENT AND PRESSURE AND THE ZU-CLASS SYMPLECTIC METHOD [PDF]
, 2016 Feng Wu, Wanxie Zhong
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On a class of integral equations [PDF]
Proceedings of the American Mathematical Society, 1952 where g and h are given and f is unknown. The number a may be finite or infinite. The first integral is taken in the sense of a Cauchy principal value. For h(x, t) 8O, this reduces to a well known integral equation of airfoil theory and has been treated extensively, mainly by Fourier methods, cf. [2 ]. E. Reissner [3 ] has applied this method to (1) in
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