Sentence examples for hand we derive from inspiring English sources

On the other hand, we derive from Theorem 1 that.

On the other hand, we derive the normal component to the equatorial plane, ({xi }^{text {GEO}}_{z}), from the GG-component averaged over each IMF sector by using the coupling coefficient in every month (Munakata et al. 2014).

On the other hand, we derive a sufficient condition for global solution in the Sobolev space H s ( S ) with s > 3, which can be done because ∥ u x x ∥ L ∞ ( S ) and ∥ ρ x ∥ L ∞ ( S ) can be controlled by ∥ u ∥ H s ( S ) and ∥ ρ ∥ H s − 1 ( S ) separately if s > 3. The rest of this paper is organized as follows.

On the other hand, we derive that ( u f − a [ f ] t u f ) = u f − a [ f ] t u f − a [ f c ] q c [ c ] t u f − a [ f c ] q c [ c ] t u f = R ( c ) u f − a [ f c ] q c [ c ] t u f, where R ( c ) = a [ f ] t − u f a [ c f c ] t − u f.

On the other hand, from (4.10) we derive, for all, (4.14).

On the other hand, from Lemma 1.1, we derive that p ( T x, T y ) ≾ γ p ( x, y ) ⟹ d p ( T x, T y ) ≤ γ d p ( x, y ) for all  x, y ∈ X.

On the other hand, using (C10) and (C13), we derive at (3.25).

With the description of all the impairments at hand, we can finally derive the complete input output relation of the relay.

With this in hand, we are able to derive an explicit least square estimator and we can further prove the convergence from the least square estimator to the true value with respect to the family ({Q_{varepsilon}}_{varepsilon>0}) and we can show the asymptotic distribution of the least square estimator.

On the other hand, we found that HDF derived from donors at 69 and 73 years old could support maintenance of undifferentiated state of both ES cells and iPS cells.

On the other hand, we also found that derived measures like hippocampal volume ratio (HVR) and R-L hippocampal volume difference are independent of total intracranial volume and remove the requirement for normalizing the data for intersubject variation.