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As Alexander Jones, a professor of classics at the University of Toronto, put it to me recently, "The Greeks saw the Babylonian formulas in terms of geometry — they saw all these circles all spinning around each other in the sky.
We give a rigorous study in these four cases and provide new formulas in terms of Bezoutian matrix.
Asymptotic formulas in terms of the thickness non-uniformity parameter are derived by the combined perturbation and Bubnov Galerkin methods.
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Pólya. [1234567].
Classical results for mode impedances in microstrip and coplanar TL structures can be systematically derived using the Schwarz-Christoffel mapping [11, 12], yielding explicit formulas in terms of elliptic integrals.
The corresponding 1D impedance (Fig. 2b) was obtained from the analytical solution, i.e., the recursive formulas in terms of coth functions, for the 1D MT problem (e.g., Chave and Jones 2012).
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In our first theorem we give a new limit formula in terms of the initial values.
They derived the connectivity formula in terms of distance between two nodes given specific propagation model and radio range.
Clearly, there is something different in this particular formula in terms of how you use the tyre relative to the ones that have gone before.
Apart from the measurements, bed load transport rate was computed by means of Meyer-Peter and Müller formula, after calibrating the above formula in terms of roughness coefficient.
Thus, all sample size formulae in terms of OR for case-control studies with multiple matched controls per case can be of limited use here.
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