Sentence examples for stating the theorem from inspiring English sources

Before stating the theorem, we discuss an example from Aumann & Brandenburger (1995) that illustrates the key ideas.

To keep things brief, we content ourselves with stating the theorem that results.

In [15], there was the sharp estimates of the type (1.7) when the derivatives belong to different Lorentz spaces Before stating the theorem, we give some notations.

Before stating the theorem, we introduce the notation: (i) If, we define H : ℤ → ℝ by   (ii) If, we define   (iii) If and n ∈ ℤ, we define for x ∈ (n - 1, n + 2)   (iv) If and n ∈ ℤ, we define  .

We start Section 3 by stating the theorem which characterizes the degrees-of-freedom region and then give the achievability and converse arguments in Sections 3.1 and 3.2, respectively.

We state the theorem more precisely below.

Here, we state the theorem but omit the proof.

end{aligned} (104 With this procedure, we can state the theorem.

Now, we are able to state the theorem as follows.

If you rely on so-and-so's theorem, then you must state the theorem and tell me where you found it.

Before proceeding the proof, we will state the theorem, the alternative of fixed point.