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Hyers–Ulam stability of norm-additive functional equations via ( δ , ϵ ) $(\delta , \epsilon )$ -isometries
Published 2025-01-01“…Abstract This research examines the Hyers–Ulam stability of norm-additive functional equations expressed as ∥ ξ ( g h − 1 ) ∥ = ∥ ξ ( g ) − ξ ( h ) ∥ , ∥ ξ ( g h ) ∥ = ∥ ξ ( g ) + ξ ( h ) ∥ , $$\begin{aligned}& \|\xi (gh^{-1})\|=\|\xi (g)-\xi (h)\|,\\& \|\xi (gh)\|=\|\xi (g)+\xi (h)\|, \end{aligned}$$ through the utilization of ( δ , ϵ ) $(\delta , \epsilon )$ -isometries. In this context, ξ : G → X $\xi : G \to X$ represents a surjective (δ-surjective) mapping, where G denotes noncommutative group (arbitrary group) and X signifies a Banach space (or a real Banach space).…”
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Molecular Epidemiology of SARS-CoV-2 Variants in Vaccinated and Non-Vaccinated Patients of Erbil Province, Kurdistan Region-Iraq
Published 2024-06-01“…Out of 144 SARS-CoV-2 positive samples, 118 (81.9%) were B.1.617.2 (Delta), 5 (3.5%) were Epsilon B.1.427/B.1.429, 1(0.7%) was Eta B.1.525, 2(1.4%) were SARS-CoV-2 Wild type, while 18 (12.5%) were undefined variant, and the delta strain was the most prevalent SARS-CoV-2 strain. …”
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COVID‐19 in early 2023: Structure, replication mechanism, variants of SARS‐CoV‐2, diagnostic tests, and vaccine & drug development studies
Published 2023-04-01“…For the first time, not only the structure, replication mechanism, and variants of SARS‐CoV‐2 (Alpha, Beta, Gamma, Omicron, Delta, Epsilon, Kappa, Mu, Eta, Zeta, Theta, lota, Lambda) but also all the details of the pandemic, such as how it came out, how it spread, current cases, what precautions should be taken, prevention strategies, the vaccines produced, the tests developed, and the drugs used are reviewed in every aspect. …”
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