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Within the tactical level of control, two dual problem spaces can be defined: the Constraints Space (CS) and the Objects Space (OS).
It is also worth noting that there are applications that cannot tolerate high complexity coding solutions and are typically limited to intraframe coding due to platform and power consumption constraints; space and airborne systems are among the class of applications that fall into this category.
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Open image in new window Figure 6 Desired constraint space.
Then, the active constraint space ({{varvec{S}}}_{AC}), the passive constraint space ({{varvec{S}}}_{PC}) of the 3D RDWM with seven DAM sets are obtained by Eq. (26).
While the constraint space represents all possible constraint arrangements in such a prescribed motion pattern.
The objective function in (44) is concave, but is a highly non-convex discrete constraint space.
Conversely, the passive constraint space ({{varvec{S}}}_{PC}) is the space wherein the top plate cannot move.
The above KA revealed that the active constraint space ({{varvec{S}}}_{AC}) is the whole motion space of the mechanism.
As the previous examples, step 2 derives the active constraint space ({{varvec{S}}}_{AC}) and the passive constraint space ({{varvec{S}}}_{PC}) of the 3D RDWM using four sets of DAMs with VCMs by Eq. (26).
Suppose we require a planar RDWM wherein the desired active constraint space ({{varvec{S}}}_{AC}) is the XOY plane and the passive constraint space ({{varvec{S}}}_{PC}) is the orientation around the Z-axis of the top plate.
The vertex sets in matrix ({{varvec{A}}}), the active constraint space ({{varvec{S}}}_{AC}) and passive constraint space ({{varvec{S}}}_{PC}) of the planar RDWM with four sets of DAM are found by Eqs.
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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.

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