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Therefore by the definition of M every computation (Theta ) ending at c and having length ({ge } |c|) must arrive at a configuration (c=c_1c_2) where (c_1) is an input configuration of (M') and (c") is the content of the history tape of c with the state letter moved next to (omega _{k+1}).
Then after at most 2|c| steps of (Theta _1) we arrive at a configuration of the form (c_1c_2) where (c_1) is a configuration of (c') such that there exists a computation (Theta ') of length (|c_2|) of (M') starting with an input configuration d of (M') and ending at (c_1), and the sequence of commands used in this computation is in one-to-one correspondence with the tape letters in (c_2).
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It is well known that a parallel mechanism at a singular configuration can gain one or more degrees of freedom instantaneously, and at such a configuration it cannot resist externally applied force/torque along certain directions.
In the 1950s, a low-resolution survey of our galaxy's star-forming regions had hinted at four arms, a configuration the new study confirms.
At run-time, a configuration context is loaded into the instruction register and is then partitioned into interconnection and functionality controls.
Let X ∈ X MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBamrtHrhAL1wy0L2yHvtyaeHbnfgDOvwBHrxAJfwnaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaWaaeGaeaaakeaaimaacqWFxepwaaa@384F@ a configuration at time t (e.g. at the start of the simulation).
An initial configuration is a configuration at time 1.
At each time t, a configuration specifies the state of each cell.
The moving boundary in arbitrary Lagrangian Eulerian (ALE) formulation is included in the variational equations by the mesh velocity obtained from a displacement-loaded pseudo-structural problem at a concurrent configuration, which eventually facilitates to derive shape design sensitivity.
We also compute the isotropic configurations of an existing manipulator and demonstrate a procedure for designing the manipulator for isotropy at a given configuration.
Physics design studies have been carried out to arrive at a core configuration for this experimental facility.
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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