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We can obtain a formula that gives a concrete value of (C_{p}' (Omega )) with additional assumptions for Ω and p (see Corollary D.1).
The main contribution of this paper is to propose a formula that gives a concrete value of (A_{q} (Omega )) for the extension operator constructed by Stein's method.
In particular, a concrete value of the embedding constant is indispensable for verified numerical computation and computer-assisted proof for PDEs; see, e.g., [9 11, 13].
Although, as a limited result, one can find in [17] a formula that gives a concrete value of a constant for the embedding (W^{1,2} (Omega )hookrightarrow L^{p} (Omega )) on a square (Omegasubsetmathbb{R}^{2}), little is known about a concrete value of a constant for the embedding (W^{1,q} (Omega )hookrightarrow L^{p} (Omega )) on general domains.
The optimum mixture conditions with 2.5% of rubber show a concrete value of compressive strength above 20 MPa, can generate concrete suitable for use in structures as well as pavement, curbs, walls and other applications in civil engineering.
To estimate a concrete value of the embedding constant defined by (1), we construct a linear and bounded operator E from (W^{1,q}(Omega)) to (W^{1,q}(mathbb{R}^{n})) such that ((Eu)(x)=u(x)) for all (xinOmega), which is called an extension operator from (W^{1,q}(Omega)) to (W^{1,q}(mathbb{R}^{n})).
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When the appraisal is finished the shop will get back to you with a concrete value for your piece of jewelry.
The purpose of this study is to promote a conception of knowledge, based on subjectivity that defines the concrete value of an aesthetic education.
The concrete value of the threshold has been derived.
The concrete value of the threshold is given by the following theorem.
The concrete value of the bias b does not influence the localization performance.
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