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By analogy with derivation of (10) and (11) in Sect.
The paper provides the analysis and elaboration of nonuniform filter banks, with derivation of their orthogonality conditions.
Since this assessment proves that there is room for more accurate prediction of both strength and ultimate strain of confined concrete, the second part of the paper deals with derivation of an empirical model valid for both circular and prismatic elements.
Our aim was to systematically tabulate published and unpublished sources of reliable GI values, with derivation of the GL.
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The resulting general equilibrium model has much in common with derivations of Marshall's rules of derived demand.
Some songs skip along to old calypso samples; many flirt with derivations of reggae and ska.
I responded with derivations of Rimbaud's rants about the unknown quantity awakening in our era's universal soul, about "scents, sounds, colors, and thought mounting thought," etc. Needless to say, they were terrified by the fact that they had no idea what I was talking about.
Pop's secular boys' choir is not so removed from the castrato voices of canonical disco acts like the Bee Gees and Sylvester, and Barnes began flirting with derivations of disco in 2005, on the album "The Sunlandic Twins," with songs like "I Was Never Young" (an uncommonly plain phrase for him) and "Wraith Pinned to the Mist and Other Games" (much more like it).
The paper finishes with derivations of partial results and analogous Laplace-type integral representations for the case of a point source.
We then describe the proposed algorithm and derive the main link equations in Section 3. Section 4 follows with the derivation of the theoretical gain obtained with the proposed algorithm against the distributed SFBC algorithms, for a generic system configuration.
Two Percheron horses pulled a pine box adorned with a black ribbon printed with a derivation of the word.
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