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The idea is that one should first identify this low dimensional manifold, project the high-dimensional input onto it, and then link the projection to the output.
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On the one hand, community music therapy programs focusing on the social and cultural relations of the client and establishing music therapy within his or her social context [ 13]; on the other hand, music therapy initiatives providing home-based music therapy (HBMT) in manifold projects are of increasing importance [ 14].
The different panels are obtained with different values of the parameter g K. Figure 3 The critical manifold is projected onto the (c, V -plane for (a) g K = 5.1 nS, g BK = 0.4 nS and (b) g K = 4 nS, g BK = 0.4 nS.
Furthermore, our surface-based analysis also offers a natural representation of diffusion properties as a function indexed over the surface manifold by projecting the diffusion measures (e.g. FA, diffusivity) onto it.
We use the center manifold theorem to project the dynamics on a two dimensional manifold, and design a controller that permits us to decide the stability and direction of the emerging periodic solution.
You may need to rent or borrow an AC vacuum pump and charging manifold for this project if you don't own one.
Amongst the manifold activities, some projects can be highlighted.
A singular periodic orbit (Figure 2, black curve with arrows) can be constructed by solving the desingularized system for the flow on the top and bottom sheets of the critical manifold, and then projecting the trajectory from one sheet to the other along fast fibers when the trajectory reaches a fold curve.
The evaluation of large traffic projects is manifold, politically controlled and may include heavy public involvement.
The direction-of-arrival (DOA) is then estimated by projecting the manifold vectors onto the noise subspace.
The approach is based on the construction of an invariant manifold such that the projected dynamics is governed by a fewer number of ordinary differential equations.
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