Sentence examples for using this result and from inspiring English sources

Using this result and premises 1 and 2 in a clever geometric construction based on lunar eclipses, he obtained values for the sizes of the Sun and Moon.

Using this result and properties of the function we have (37).

Using this result and the relation (37), one can state the following proposition.

Using this result and the symmetrized diagonal actions we construct for every countable branch group infinitely many different ergodic perfectly non-free actions, infinitely many II1-factor representations, and infinitely many continuous ergodic invariant random subgroups.

Using this result and the fact that a self-repelling random walk traverses a network uniformly, we infer that O((N/logN ∗log(N/logN)) token transfers are needed to visit at least 1 node in each of the θ(N/logN) cells.

Using this result and the rigorous techniques used in [22] to show convergence in mean from convergence in probability, we can conclude that lim M → ∞ C s BC ∗ log ( log M ) = ε p. Note that the throughput C s BC* can be written as C s BC* = E log z max Λ ∗ 1 g < g T, z max ≥ Λ ∗ + E log z max Λ ∗ 1 g ≥ g T, z max ≥ Λ ∗ t − 1 ( S ∗ ) (35).

In order to use this result and its variant, one has to find a self-mapped closed convex set M so that A + B maps M into itself or the weaker one: x = A x + B y ( y ∈ M ) ⇒ x ∈ M. From the application point of view, this condition is also generally strict and is hard to achieve.

We use this result and compare it to YouGov2 polls on June 22, 2016 (eve-of-vote, i.e., referendum eve) and June 23 , 2016(on-the-day, i.e., referendum day) when 3766 and 4772 UK adults were asked about their voting intention and actual vote, respectively.

Using this result, we improve and unify several results in fixed point problems and equilibrium problems.

The idea of using this result comes from Schmitendorf and his coauthors; see, for example, [2 4] and [15].

Using this result, we obtain new and well-known strong convergence theorems in a Hilbert space.