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Using the geometric theory of coupling between GB motion and grain translations, we propose a model capable of predicting the direction of the grain rotation depending on the crystallographic parameters of the three grains.
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These properties are derived by a theoretical analysis using the geometric optimal control theory.
Intensity values were determined using the geometric mean.
The matrix perturbation technique and the geometric theory are used to study the occurring mechanism of the two phenomena.
General relativity, the geometric theory of gravity developed by Albert Einstein in the early 1900's, is today considered one of the twin pillars of modern physics.
Therefore, we used the geometric mean and the standard deviation of the geometric mean.
Using the theory of geometric singular perturbations, we have computed analytically a two-dimensional invariant non-linear manifold of motion in phase space, called the slow manifold.
It is shown how to simultaneously optimize the operating and geometric design parameters of the HRSG by using the constructal theory.
To define an operator using the convolution theory, and then study its properties, is one of the hot areas of current ongoing research in the geometric function theory and its related fields.
The effects of transverse shear deformation, rotary inertia and geometric nonlinearity are taken into account through using the Timoshenko beam theory together with von Kármán's hypothesis.
The element geometric transformation matrix was obtained using the theory of computer graphics.
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