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For every, functions and are derivable on and and their derivations are absolutely continuous.
Detailed derivations are given.
The derivations are as follows.
Corresponding theoretical derivations are given subsequently.
The derivations are validated through numerical results.
The derivations are in the following paragraphs.
Detailed mathematics derivations are given below.
Derivations are presented in the Appendices.
Morphing mechanisms and geometric derivations are validated with physical prototypes.
Theoretical derivations are presented to calculate fragment distribution.
The derivations are given in an easy to follow procedure.
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