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Several coordinate transformations are processed to transform the estimated partial linearized system into an upper-triangular form.
3, we consider how inputs to the neuron are transformed under these coordinate transformations and derive the evolution equations for the forced phase-amplitude system.
The assumption that Euclidean geometry holds in the infinitesimally small means that the \(dx^{i}(p)\) transform linearly under arbitrary coordinate transformations.
Each manifold is equipped with a family of local coordinate systems that are related to each other by coordinate transformations belonging to a specified class.
Moreover, the coordinate transformations are not required.
And that difference is itself invariant under arbitrary coordinate transformations.
The warping sub-unit computes the necessary coordinate transformations.
The obtained representations are invariant under general coordinate transformations.
Palter (1972) first broached the Phoronomy from the modern standpoint of coordinate transformations between frames.
Active general covariance considers the dual point transformations induced by coordinate transformations.
This approach is based on the form-invariance property of Maxwell's equations under coordinate transformations.
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