Sentence examples for the minimizing value from inspiring English sources

By Theorem 3, G FF and G FB are obtained as follow which yields the value of ?, namely the minimizing value of ?

We chose the first-order autoregressive model as the best-fitted one because of the minimizing value of Akaike's information criterion (Cnaan et al. 1997) in all vascular parameters except the BAC with the compound symmetric structure.

Substituting these minimizing values of (X_{0,3}) into Eq. (65) thus optimizes the concatenated structure, yielding a desired net rotation (dictated by (X_{0})) which filters both amplitude and dephasing noise to first order simultaneously.

Let (tilde{q}^{n}(t)= tilde{q}^{n}_{1}(t),ldots,tilde{q}_{N}^{n}(t))) be critical points corresponding to the minimizing critical values (min_{H_{n}}f q)), where (H_{n}) was defined in (2.2) when (tau =n).

Step 2. Properties of the minimizing sequence ({u_{n}}).

Let ({u_{m}}) be the minimizing sequence for (lambda_{1}).

Moreover, theρ-limit of is independent of the minimizing sequence.

Moreover, theρ-limit of is independent of the minimizing sequence.  .

Its limit is independent of the minimizing sequence.

Note that x is independent of the minimizing sequence.

The minimizing bandwidth was again chosen, corresponding to a standard deviation of eight days.