Results 31 to 40 of about 4,958,079 (306)
On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families
Mathematics, 2021 Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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A new analogue of Gauss' functional equation [PDF]
, 1995 Gauss established a theory on the functional equation (Gauss' functional equation) f(a+b2,ab)=f(a,b) (a,b>0), where f:R+×R+→R is an unknown function of the above ...
Themistocles M. Rassias +3 more
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ON A COMPOSITE FUNCTIONAL EQUATION
Demonstratio Mathematica, 2003 The composite functional equation \[ f(xG(f(x))) = f(x)G(f(x)), \quad x \in \mathbb R_+,\tag{1} \] is considered. \textit{P. Kahlig}, \textit{A. Matkowska} and \textit{J. Matkowski} [Aequationes Math. 52, 260--283 (1996; Zbl 0861.39013)] dealt with the special case: \(G(u) = u^p\). Here the continuous solutions \(f: \mathbb R_+ \to \mathbb R_+\) of (1)
Matkowski, Janusz, Okrzesik, Jolanta
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Some Best Proximity Theorems for Generalized Proximal $\mathcal{Z}$-Contraction Maps in $b$-Metric Spaces with Applications [PDF]
Sahand Communications in Mathematical AnalysisThe simulation function and the notion of $\mathcal{Z}$-contraction concerning $\zeta$ which generalizes the Banach contraction principle and unifies several known types of contractions involving the combination of $d(fx, fy)$ and $d(x, y)$.
Dasari Ratna Babu
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Superstability of Some Pexider-Type Functional Equation [PDF]
, 2010 We will investigate the superstability of the sine functional equation from the following Pexider-type functional equation ( ), which can be considered the mixed functional equation of the sine and cosine functions, the mixed functional equation of the
GwangHui Kim +2 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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On a Functional Equation Appearing on the Margins of a Mean Invariance Problem
Annales Mathematicae Silesianae, 2020 Given a continuous strictly monotonic real-valued function α, defined on an interval I, and a function ω : I → (0, +∞) we denote by Bαω the Bajraktarević mean generated by α and weighted by ω:
Jarczyk Justyna, Jarczyk Witold
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Stability of the equation of homomorphism and completeness of the underlying space [PDF]
Opuscula Mathematica, 2008 We prove that all assumptions of a Theorem of Forti and Schwaiger (cf. [G. L. Forti, J. Schwaiger, Stability of homomorphisms and completeness, C. R. Math. Rep. Acad. Sci.
Zenon Moszner
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