Results 31 to 40 of about 1,793,700 (285)
On the equation F(nᵏ-1) = D [PDF]
Notes on Number Theory and Discrete MathematicsWe prove that if F is a completely multiplicative function and k∈{2,3} such that the equation F(nᵏ-1) = 1 holds for every n∈ℕ, n>1, then F is the identity function.
I. Kátai, B. M. M. Khanh, B. M. Phong
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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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Dynamics of the Universal Confining String Theory on the Loop Space [PDF]
, 1997 Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory, we derive for it the corresponding loop equation, alternative to the familiar one.
Antonov, D. V.
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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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Chains of fundamental mutually homogeneous functions with a common real eigenvalue
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020 This work continues the study of the properties of mutually homogeneous functions, which are a generalization of Euler homogeneous functions and can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems with special
Berdnikov Alexander +2 more
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Functional evolution equations
Journal of Mathematical Analysis and Applications, 2003 The paper concerns the functional evolution equation \[ u'(t) \in B u + F(t, u_t) , \;\;t >0, \] \[ u_0(s)= \phi(s)\in C^1([-r,0];X), \] where \(X\) is a real Banach space, not necessarily reflexive, \(F : [0,\infty) \times C([-r,0];X) \to X \) is a single-valued function and \(B: D(B)\subset X \to X\) is a multi-valued nonlinear operator.
openaire +2 more sources
Functional Equations and Fourier Analysis
, 2010 By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations -- the d'Alembert equation, the Wilson equation, and the d ...
Akkouchi +5 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash +4 more
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Dietary Protein Intake and Peritoneal Protein Losses in Peritoneal Dialysis Patients
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Peritoneal dialysis (PD) patients lose protein in their waste dialysate, potentially increasing their risk for malnutrition. We wished to determine whether there was any association between losses and dietary protein intake (DPI). Methods DPI was assessed from 24‐h dietary recall using Nutrics software.
Haalah Shaaker, Andrew Davenport
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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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