Sentence examples for ones are equivalent from inspiring English sources

Conditions (60) follow from (54) since the last ones are equivalent to ∫ Σ j f v h d σ = 0, j = 1, …, m, h = 1, …, n ( n + 1 ) ∕ 2. Let ϕ be a solution of (59); taking (58) into account, we have that ϕ solves (56) and then the traction problem (50) admits a solution.

As a result, Stier's original 480 in math has been pushed up by thirty points, so officially her new number and her old one are equivalent.

To begin with, Leibniz held the Scholastic thesis that "being" and "one" are equivalent.

The boundary rigidity problem and the lens rigidity one are equivalent for simple metrics.

If the NWT is about 20, then the benefits of treating all patients and treating no one are equivalent (zero).

There are many voters who don't have a photo ID, and requiring them to buy one is equivalent to a poll tax.

According to Statkraft, the company that owns the station, the pressure generated by water passing across the membrane from the fresh stream to the salty one is equivalent to a head of 120 metres of water a sizeable hydroelectric plant.

Recall that the diagnostic process by the ANN in module one is equivalent to determining the out-of-control state.

Then, transforming the global coordinate into the local one is equivalent to rotating the global coordinate about e x axis.

Furthermore, (E[m_i^*]) greater (less) than one is equivalent with the risk-free rate (r_mathrm{f}^*) being less (greater) than zero.

The last one is equivalent to A 2 / 3 > A 1 / 2 A 1 / 3 1 / 2, which easily follows from Lemma 7.