Using the analogous methods to deal with the term T ω ( f 1 Q N, f 2 0 ), we have A 1 ≤ C K Q, R M ( 5 ) ( f → ) ( x ).
Using the method analogous to the proof of Theorem 3.2, we have the following global estimates.
If we restrict our attention to the set (mathcal{F}_{KC}(Y)), we then can prove that ((mathcal{F}_{KC}(Y), d_{infty})) is a complete metric space by using the method analogous to that used in [30, Proposition 7.2.3].
end{aligned} (4.25) By applying the analogous methods used in estimating (4.25) we can obtain begin{aligned}& varepsilon^{2}biglvert Gamma w^{primeprime }_{i}- delta^{2}w_{i}bigrvert leq CN ^{-4}+C gamma_{i}^N^{-5}ln N,quad i=frac{3N}{8}, frac{7N}{8}, end{aligned} (4.26) where the bound of the truncation error is replaced by the fifth bound of (4.12).
Using an analogous method to that illustrated in Fig. 3, a normalized V1-data driven model was generated from contralateral V1 responses in control participants, and applied to both control and patient groups (Fig. 4C).
This value is very similar to that previously reported for the Cul5NTD interaction with the ternary complex formed among the SOCS-box-containing C-terminal domain of HIV-1 Vif and EloBC (VifCTD EloBC), which was determined to be −0.30 kcal mol 1 K–1 using an analogous method of temperature-dependent ITC titrations.
We use an analogous method to the "Algebraic Surface Cryptosystem" (ASC) proposed by Akiyama, Goto and Miyake.
The survey also used an analogous method to seek responses concerning actual actions in routine practice.
We used an analogous method for the lymphoma data in Figure 2a, treating those mice with GI tumors but no lymphoma as removed from the population at the age of diagnosis.
For the logistic models with three levels, we used an analogous method.
