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In general, the index of a singularity measures the net number of 180° flips Jim executes during one counterclockwise circuit; its sign indicates whether they were counterclockwise or clockwise flips.
The gradient of stress lines indicates the index of the singular stresses singularity at the end of the interface.
Therefore the index for this kind of singularity is defined to equal –1.
And conversely, the net number of 180° flips he makes on a circuit equals the sum of the indices of the singularities inside.
This method is equipped with a pre-algorithm to find the singularity index of solution of the problem.
The theory of a power-inspired index of closeness to a singularity pose for parallel kinematic manipulators is illumined and presented in this paper, supported by comparison to Grassmann geometry and experimental results achieved on a HEXA robot.
From Singular LQ method, a relationship between order of singularity of a given performance index and the order of sliding mode controller is established.
The language of singularity, of "wholeness", only appears in the most recent liturgy, as an index of Christian decadence.
What will be left of singularity?
It is also restating the godly fact of singularity.
It's at the heart of "singularity" theory.
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