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Existence of the path is marked with a gray cell.
The existence of the path dependent dynamic singularities limits the volume of available workspace of free-floating space robot and induces enormous joint velocities when such singularities are met.
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They established the existence of the central path and designed and analyzed IPMs for solving P ∗ -LCP.
These residue interaction networks indicate the existence of the interaction path which is directly related with ligand binding and highly dependent on the topology of the protein.
The local existence of the zero paths is answered by the implicit function theorem.
The chief promoters of this ideology have projected upon the Internet certain values they imagine to be intrinsic, among them the imperatives to be open and transparent and efficient and digitally "social"; to believe that knowledge is created through data collection and algorithmic analysis; to believe that the minute quantification of existence is the path to self-awareness.
Under suitable assumptions, we give a constructive proof of the existence of interior path leading to the solution point of this class of fixed point problems.
Once compiled the list we verified for each entry the existence of a path crossing the right sequence of bifurcations to obtain a given bursting class, including those necessary to close the hysteresis loop (when different from the onset or offset bifurcations, they where SN r and SN l ).
The energy-filtered TEM image shows the existence of the Ag metallic path during the SET condition of the device [14].
The nanosecond transient absorption band of C60-grafted PPV polymer was observed at 740 nm corresponded to the excited triplet state of C60, which decreased in benzonitrile, indicating the existence of the extra decay path of the singlet excited state of the C60 other than intersystem crossing.
The first question to address is the existence of zero paths, since the feasibility of the continuation method lies on this assumption.
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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