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As described above, the total volume of a three-dimensional space with uniform positive curvature would be finite but possess no edges or boundaries (to be consistent with the first assumption).
There exists a uniform positive constant such that (2.8).
There is a uniform positive constant, such that (2.10).
Then by the finite covering, (2.18) holds in Ω with a uniform positive constant ϵ.
A three-dimensional source volume with a uniform positive value is used as a first estimate.
A uniform positive lower bound for convex positive solutions is also obtained.
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The uniform 'positive-definiteness' request (27) on ({H_{k}}) is weaker than the usual uniform positive-definiteness of ({H_{k}}) itself on (R^{n}), namely, (d^{T}H_{k}dgeq aVert d Vert ^{2}, forall k, forall din R^{n}).
However, it is stronger than the uniform positive-definiteness of (H_{k}) on the null space (Omega_{k}).
Vibratome tissue section showed uniform GUS positive signals in all tissues and cells (Fig. 4b).
Global asymptotic stability under the predictor-feedback control law is established assuming spatially uniform strictly positive transport velocity.
The subsystem has a unique globally uniform attractive positive T-periodic solution ((u_{1}^(t), u_{2}^(t))), which is given in (2.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com