Abstract
Consider a function f(x), a < x < b. Change the function at any (or every) point x = x 0 to f̄ (x), while holding x = x 0 fixed. Form the difference
which is called the variation of f. Note that δf differs fundamentally from df, which is defined as the difference in the value of the function f at two neighboring points x1 and x0. In taking the variation, the functional form is varied and the position is held fixed. In taking the differential, the position is varied and the functional form is held fixed.
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© 1969 Springer Science+Business Media New York
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Tiersten, H.F. (1969). Hamilton’s Principle. In: Linear Piezoelectric Plate Vibrations. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6453-3_6
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DOI: https://doi.org/10.1007/978-1-4899-6453-3_6
Publisher Name: Springer, Boston, MA
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