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Two important features of martensitic transformations, i.e., transformational hysteresis and athermal transformation, can be displayed by the modified model.
The equations are extracted using two alternative transformations: (i) Finite Difference (FD); and (ii) a novel arbitrary-order Galerkin Reduction (GR) which does not use a grid, considerably reducing the number of state variables.
For the sigmoidal and exponential models, we also considered commonly used transformations (i.e., square, square root, inverse, etc).
The use of fractional derivatives and the commonly known transformations, i.e. the Laplace and the Hankel transformations, has made the approach more accessible.
Where the assumptions of the ANOVA were violated, data were subjected to logarithmic (base 10) transformations (i.e. verbal fluency).
Two transformations, I suspect, are responsible.
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CO2 predominated from CT transformation (i.e., over 50%) while CO was predominant from CF transformation.
Only a minor amount of CS2 accumulated from CT transformation (i.e., 5.2%).
The overcoming of alienation thus always demands along with social changes subjective transformation, i.e., individual change (GW 14: 5514.
To obtain a stabilized video sequence, we estimate the inter-frame geometric transformation, i.e., the local motion parameters.
(1) The Σ3[1¯¯¯10](112) and Σ9[1¯¯¯10](221) STGBs retard the martensitic transformation, i.e., decreases Ms, by raising the potential energy of the grain interior.
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