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At present we are only concerned with the eigenanalysis of a particular physical entity, the thin elastic beam, and its mathematical analog, the interpolating elastic curve, but the method described bears upon vibration analyses of all kinds.

An interest elastic curve is one for which a small change in the interest rate leads to a large change in quantity, so that when plotted as in the figure, an elastic curve will be close to horizontal.

Thus, [Theta] is the angle that the tangent vector to the elastic curve makes with a parallel direction to the curve.

3, it is easy to recognise similar character of our elastic curves to those of elastic wave [24] dissipation mechanisms.

Modern mathematicians recognize this eighteenth-century wonder worker with 21 papers on such diverse topics as Euler's work from 1750 to 1760, his fourteen most significant problems, his archives, his proof, with Bernoulli, of the fundamental theory of algebra, and his work on the quadrature of lunes, the Basel problem, elliptic integrals, harmonic progressions, power series expansions of the logarithmic and exponential functions, the summation formula, combinatories, the partition function, parallels with Clausen, the motion of the lunar apsides, elastic curves, the advection equation, the propulsion of ships and the creation of accurate maps.

In Flow Motion, 2001, for example, sections of tan, green, and red are corralled by elastic curves of lavender and orange, each hue somehow balancing the next.

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