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However, use of mode shape data has seen much less effort.
The corresponding diffraction problem is reduced to infinite system of linear algebraic equations (ISLAE) making use of mode matching technique and orthogonality properties of the Legendre functions.
It is shown that use of mode identification criteria, such as the strain energy criterion, can be misleading for rotating, predeformed blades.
Another contribution of the present work is, the dynamic governing differential equation of MEM is derived for periodical composite structures according to the generalized Hamilton variational principle, and the details about efficient and accurate use of mode superposition method and Newmark integration method are presented.
Previous work in the authors' laboratories has indicated that the ability to extend the use of mode superposition to model breathing conditions in the crack zone would overcome the need to switch from a frequency-domain-based model to a time-stepping scheme which had caused both implementational and theoretical problems.
Notable in the development of Super Mario Kart was its use of Mode 7 graphics.
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Messiaen continually evolved new composition techniques, always integrating them into his existing musical style; his final works still retain the use of modes of limited transposition.
Throughout his career Takemitsu often made use of modes from which he derived his musical material, both melodic and harmonic among which Messiaen's modes of limited transposition to appear with some frequency.
This requires better connection between transport modes and better use of each mode's comparative advantage.
Results indicate that use of a mode and the attitude towards using that mode mutually influence each other over time.
The SAW resonator is designed and optimized using coupling-of-modes (COM) theory.
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