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The paper deals with the equivalence, under coordinates change and output transformation, of a discrete-time nonlinear system to observer canonical forms.
The paper deals with the equivalence under coordinates change, of a discrete-time nonlinear multi output system to observer canonical forms.
Based on a linear discrete observer, a sampled-data output feedback controller is explicitly designed, in which a scaling gain is introduced by a new coordinates change of the system to dominate the nonlinearities.
Analysis of the kinetic energy led us to conclude that during the cutting process, when the particles begin to contact the workpiece, the atoms in the extruded region undergo lattice deformation, atomic coordinates change, and displacement changed with kinetic energy.
Note that it is not clear by definition that the holomorphic simple connectivity is preserved by a biholomorphic mapping since the meaning of taking the derivative is different when the coordinates change; but by the complex chain rule this is a matter of a holomorphic factor which can be assimilated into the original function.
Notice how your coordinates change as you walk around.
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As the finger moved, the coordinates changed, which drove the cursor.
Iterations terminated when all coordinates changed by less than 5 cm.
In our experiments, we can examine the temporal responses of neurons to study reference frames since the translation direction in eye coordinates changes over time.
By a coordinate change, the same is true for (v(x_i-x_j)).
Again, we can introduce a coordinate change m ^ = m - M ( v, n, μ, ε ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com