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There exists a value of the phase shift, (delta _{max}), that gives the maximum forward velocity.
However, there exists a value R ̂ < R such that: P D = P Rm + P Ru R ̂. (7).
By optimal transportation theory and stochastic control, there exists a value of the game with such random strategies.
We can conclude that there exists a value of c, noted (widetilde {c}), such that Δ=0 for (c=widetilde {c}).
There always exists a value for a real-time user utility function parameter when, indicated as such that when then there is no such that (C.1).
There always exists a value of a real-time user i utility function parameter when, denoted as, such that, and hence when.
Similar(27)
Therefore, there always exist a value for parameter when, denoted as, such that both (C.2) and (C.3) are satisfied.
It is also shown that corresponding to a specified load, there exist a value of speed which results in the lowest steady-state friction.
Furthermore, with respect to (E.1) and (E.4), there must also exist a value of parameter regarding the inflection point of function and hence (E.8).
For certain fracture network morphology, there exists a critical value or optimal value of SRV curve.
Second, for a given (y_{0}) value, there exists a unique value of p such that (y_{0}) corresponds to a singular point.
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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