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However, this is not a sufficient term for assessing the long-term effectiveness of surgical success and for this aim new supporting studies must be conducted.
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On the other hand, the series is called divergent: it has no limit, the sum becoming larger than any chosen value if sufficient terms are taken.
The first set of polynomials guarantees convergence to exact frequencies, as sufficient terms are retained.
The first set guarantees convergence to the exact frequencies as sufficient terms are taken.
Care has been exercised to retain sufficient terms in power series in evaluating natural frequencies of accepted accuracy.
Therefore, not only lower-order but also higher-order eigenfrequencies can be obtained by using sufficient terms of the Chebyshev polynomials.
These sets include: (1) mathematically complete algebraic-trigonometric polynomials which guarantee convergence to exact frequencies as sufficient terms are retained; and (2) corner functions which account for the bending moment singularities at the sharp corner of the V-notch.
Care must be exercised to retain sufficient terms in the power series in calculating accurate buckling loads, as is demonstrated by a convergence table for all nine possible combinations of unloaded clamped, simply supported or free edges at y = 0 and b.
These sets include: (1) mathematically complete algebraic trigonometric polynomials which guarantee convergence to exact frequencies as sufficient terms are retained and (2) corner functions which account for the bending moment singularities at the re-entrant vertex corner of the radial edges having arbitrary edge conditions.
The necessary and sufficient terms needed to describe hue completely are Red (R), Yellow (Y), Green (G), and (B) [ 28]; a complete description also needs a term for saturation.
We state a necessary and sufficient condition in terms of the data.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com