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whence T is a cone compression on K ∩ ∂ Ω r 2 ∗.
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whence sup t ∈ | z ′ ( t ) | = π 2 Open image in new window.
whence P T ± H p ± = H p ± Open image in new window and P T ± H p ∓ = 0 Open image in new window.
(30) is proven as follows: we have ∩ → (V → ∩) by Ax. t, whence ∩ → (U → Λ) by Contraposition and Double Negation, whence ∩ → !Λ by (16).
From Eq. (3), it follows that b ϕ = D + K P e - j t, whence in the steady state b s ϕ s = D, Eq. (2b).
In between these two extreme conditions whence 0 ⩽ c(T, f) ⩽ 1, creep-fatigue prevails.
Unoriented graphs are defined as for graphs with an additional unary operation g satisfying g(g(x)) = x and s(g(x)) = t(x) (whence s(x) = s(g(g(x))) = t(g(x))).
Whence we conclude that Ψ T is continuous from ( C c, T ( p C c s ) ) into itself, i.e., Ψ T is p s -continuous.
for all t > 0, whence s 0 = 0.
whence we obtain by computation that ∫ 0 T 2 α ¯ 2 ( t ) d t = T 3 80.
Also, the inclusions S ⊂ T d ⊂ T yield Z H ( T ) ⊂ Z H ( T d ) ⊂ Z H ( S ) = C, whence the result.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com