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When I think about my journey to contentment I am grateful for dogged determination; that reasons for unequivocal forward motion existed; for guiding lights with helping hands and hearts; but mostly that I love and am loved.
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It was found that periodic, quasi-periodic solutions and chaotic motions exist for the FGM rectangular plates under certain conditions.
The equations of motion for the individual modes are used to show, by using a verion of Melnikov's method, that chaotic motions exist for the first mode dynamic equations.
Melissus had argued from the logical impossibility of void to the impossibility of motion; the atomists apparently reasoned in reverse, arguing from the fact that motion exists to the necessity for void space to exist (DK 67A7).
The values of the delays for which the quasiperiodic motion exists can be predicted with an acceptable accuracy.
Overall, both theoretical and numerical studies suggest that the chaos for the Smale horseshoe sense in motion exists.
For example, Giles conceives of time not as a quantity pertaining to every kind of motion, but rather as a mode in which motion exists.
It is shown that harmonic, subharmonic, and chaotic motions can exist for various values of parameters.
Thomas Aquinas used Aristotle's dictum, that everything that moves is moved by something else, to show that God must exist, for otherwise the existence of any motion would imply an infinite regression of prior causal motions.
Starting from there, several possibilities exist for representing a motion pattern based on the sample trajectories.
Although empirical evidence supporting cell-to-cell motion rather than aplopastic transport only exists for CPC and TTG1, all available data are congruent with the assumption that all mobile elements of the GRN move in a cell-to-cell manner.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com