Sentence examples for is indeed equivalent from inspiring English sources

As the inverse is also valid, the BVP (2.2) is indeed equivalent to the BVP (1.1).

Next, we will show that the definition of semi-weak time consistency is indeed equivalent to the time consistency introduced in (Bielecki et al. 2014b).

This service is indeed equivalent to a heavy tax, yet is it less felt by a people addicted to arms who fight for honor and revenge more than pay, and are unacquainted with gain and industry as well as pleasure.

In the circuit point of view, the proposed TFT structure is indeed equivalent to two serially connected TFTs (i.e., 10-μm-long active layer for each TFT) via the middle HECL layer (i.e., 60-μm-long conducting channel layer).

This means that f ( x ) is increasing as a function of x ∈ [ r 2, r ], i.e., the relation (26) is indeed equivalent to a ≤ x and the proof is complete.

It can be easily checked that maximizing the MI for Gaussian signals (17) is, indeed, equivalent to maximizing the squared MCCC among the N random variables, which is defined as [8] (19).

An exceptional case, however, is the 2-user scenario, for which both concepts are indeed equivalent and the solution can be given in closed form.

(a) Corollary 4.3 and Corollary 4.4 are indeed equivalent.

Corollary 4.1 and Corollary 4.2 are indeed equivalent.

We now show that, within a certain class of algebras, the class of Leavitt path algebras, both properties are indeed equivalent.

It is easy to see that (|cdot|_{1}) and (|cdot|_{1,*}) are indeed equivalent norms on (H^{1}(Omega)) and subsequently on (H^{1}_{0}(Omega)).