Sentence examples for proceeding analogously from inspiring English sources

At ξ → ∞, proceeding analogously to the solution of Equation 21, one should again arrive at the equation of Kummer (24) but with different parameter λ.

If max ( I φ, ω ( x χ A x, v δ ), I φ, ω ( y χ A y, v δ ) ) ≥ 1 8, then proceeding analogously as in Case 2, we get inequality (24) with the constant δ ( η 32 ).

This implies that Φ ¯ x is also compact: indeed, by proceeding analogously as in [[50], Proposition 2.4], it is possible to prove that every ℱ-convergent sequence in an asymmetric metric space ( X, d ) has a subsequence, convergent in the usual sense.

By (3.11.1), ( f n k ) k has a ℱ-forward exhaustive subsequence, say ( h n ) n. Since ℱ is a P-filter, proceeding analogously as in [[30], Lemma 3.6], it is possible to see that ( h n ) n has a F cofin -forward exhaustive subsequence.

Proceeding analogously to the proof of Lemma 4.1 and the case q 1 < 1, we can show that u ̲ blows up in finite time.

Proceeding analogously to the above and using (ii) of Lemma 2, we see that (38) is equal to the negative of the expression in (37), provided that (w_{3}equiv 0) (mod 2).

We proceed analogously for WML but sort stocks monthly.

The proof can then proceed analogously to the linear case.

We proceed analogously with other integrals in the identity (16).

(43) The analysis for a current point sink proceeds analogously.

We can proceed analogously to the proof of Lemma 2.6 in order to show that (2.36).