Sentence examples for if we noted from inspiring English sources
We end this section with the following Rellich-type inequality on the polarizable group which can be proved by the same method if we noted Theorem and Proposition in [21] and the weighted Hardy inequality (Theorem ) in [22].
Now if we note that (3.22).
And we can see this, Mill suggests, if we note that those who have experienced both types, and are 'competent judges', will make their choices on this basis.
Breitenbach (2008) contends that the Antinomy is solved, or rather dissolved, if we note that thesis and antithesis are not really contradictory but complementary.
We are probably on safe footing, however, if we note that crime's concentration is well within the range of phenomena documented.
If we note Y(F =V(X(F)), this can be summed up as finding F such as min∀F∈T Y(F).
If we note the inequality (3.9) and the condition (2.4), the proof of Corollary 2.1 can be obtained by similar proofs to Theorem 2.1.
If we note H a ( x ) = ∑ t = 1 p h a t ( x ), the strong classifier becomes sign(H a-α).
And if we note Fig. 1 we can assume that the shear due to external loads (total shear TS) is carried by concrete only, so that: S_{text{up}} =, 0, (28) S_{text{co}} = {text{TS}}.
The left branching entropy (LBE) is defined in a symmetric way: if we note χ ← the set of possible left contexts of x 0..n, its LBE is defined as: begin{array}rcl@ text{LBE}(x_{0..n}) = H chi_{leftarrow}mid x_{0..n}).
