Bu çalışmada NACA 4418 kanat profile üzerinde deneysel bir çalışma yürütülmüştür. Kanat profili spray kaplama yöntemi ile iki farklı malzeme kaplanmış, ıslanırlık derecesi (su damlasının yüzey temas açısı, θ) belirlenmiştir. Normal (θ=59o90o) ve süperhidrofobik (θ=154o>150o) olmak üzere üç yüzeyi elde edilmiştir. durum için, kaldırma sürüklenme katsayıları, 15 m/s (Re=253.196) serbest akım h...

and Applied Analysis 3 By (1) we have for allm ∈ N such thatm ≥ n, d (x α n , x α m ) ⪯ φ (x α n ) − φ (x α m ) . (7) Let n → ∞, by (6) we have lim m,n→∞ [φ(x α n ) − φ(x α m )] = θ and hence lim m,n→∞ d(x α n , x α m ) = θ by the normality of P. Moreover by Remark 2, {x α n } is a Cauchy sequence in X. Therefore by the completeness of X, there exists some x ∈ X such that

The rules for constructing Lagrangian formulation for θ-superfield theory of fields (θSTF) are introduced and considered on the whole in the framework of proposed here new general superfield quantization method for general gauge theories. Algebraic, group-theoretic and analytic description aspects for supervariables over (Grassmann) algebras containing anticommuting generating element θ and int...

ly as 2-cochain: Fa = ρ ∗ ◦ 1 2 (θ − θ)∂i ∧ ∂k = ρ ◦ 1 2 (f )jlθ θ∂i ∧ ∂k (5.85) with θf = θf , or f ′ = 1 1 + fθ f, (5.86) 5.2. ORDINARY VERSUS NONCOMMUTATIVE GAUGE THEORY 99 which we recognize as the noncommutative field strength (with lower indices) for constant f , θ [128]. The general result for non-constant f , θ is thus simply obtained by the application of the covariantizing map ρ (afte...

Laser induced thermal desorption of Xe atoms into vacuum from a metal surface following the nano-second pulsed laser heating was investigated by the time-of-flight (TOF) measurement. The desorption flow was studied at a wide range of desorption flux by varying the initially prepared Xe coverage Θ (1 ML = 4.5 × 10(18) atoms/m(2)). At Θ = 0.3 ML, the TOF of Xe was well represented by a Maxwell-Bo...

and Applied Analysis 3 effectively larger than that of the ordinary conemetric spaces. That is, every cone metric space is a cone b-metric space, but the converse need not be true. The following examples show the above remarks. Example 7. Let X = {−1, 0, 1}, E = R, andP = {(x, y) : x ≥ 0, y ≥ 0}. Define d : X × X → P by d(x, y) = d(y, x) for all x, y ∈ X, d(x, x) = θ, x ∈ X, and d(−1, 0) = (3, ...

where θ, θ′ ∈ Θ are the solutions returned by Ak(S1), Ak(S2), and S1, S2 are random samples, each of size m, drawn i.i.d from the underlying distribution D. The scaling by the square root of the sample size will allow us to analyze the non-trivial asymptotic behavior of these distance measures, which without scaling simply converge to zero in probability as m → ∞. For some ǫ > 0 and a set S ⊆ R...

We consider the top-bottom doublet in the background of the sphaleron for the realistic case of large non-degeneracy of fermion masses, in particular m b = 5 GeV and m t = 175 GeV. We propose an axially symmetric (r, θ)-dependent ansatz for fermion fields and investigate the effects of the non-degeneracy on them. The exact solution is described, with an error less than 0.01%, by a set of ten ra...

Proof. Let M = sup θ∈Θ max{{h(θ), |v(θ)|} and V ε = {θ : d(θ, L) ≤ ε}. Applying Taylor's expansion formula (Folland, 1990), we have v(θ t+1) = v(θ t) + γ n+1 v h (θ t+1) + R t+1 , t ≥ 0, which implies that t i=0 γ i+1 v h (θ i) = v(θ t+1) − v(θ 0) − t i=0 R i+1 ≥ −2M − t i=0 R i+1. Since t i=0 R i+1 converges (owing to Lemma A.2), t i=0 γ i+1 v h (θ i) also converges. Furthermore, v(θ t) = v(θ ...

where θ, θ′ ∈ Θ are the solutions returned by Ak(S1), Ak(S2), and S1, S2 are random samples, each of size m, drawn i.i.d from the underlying distribution D. The scaling by the square root of the sample size will allow us to analyze the non-trivial asymptotic behavior of these distance measures, which without scaling simply converge to zero in probability as m → ∞. For some ǫ > 0 and a set S ⊆ R...