Sentence examples for by using the fact from inspiring English sources

This is shown by using the fact that the most knowledgeable mathematician, at best, doubles his or her knowledge after one hour.

The electrostatic law has been established to within one part in 1016 by using the fact that the field inside a closed conductor is zero when the inverse square law holds.

By using the fact that for all, we obtain (3.70).

Then, by a simple computation and by using the fact that (2.15).

Now by using the fact that in (2.25) and letting, we get the inequality (2.22).

By using the fact that the fourth moment of is, one can easily verify that.

The second equality for in (25) is obtained by using the fact that.

Dissipativity can be verified by using the fact that V is dissipative.

Now by using the fact that in (2.7) and then letting, we get the desired inequality in (2.2).

By using the fact that both zmax and t−1(S∗) scale as logM, we can show that the upper and lower bounds of the optimal throughput in the secondary downlink network scale like ε p log(logM).

By using the fact that (x^{[2]}) is strictly decreasing on ([t_{0},infty)_{mathbb{T}}).