Sentence examples for let us firstly from inspiring English sources

Let us firstly give a lemma to be used in the proofs of the main theorems.

Let us firstly take the time variation part of all field quantities as e− it.

ad (iii1) Let us firstly prove that the solution mapping T is quasi-compact.

ad (iii1) Let us firstly prove that the solution mapping T m is quasi-compact.

Let us firstly denote, for each n ∈ N, r n = d ( x n, B 0 ).

Let us firstly consider the transmitter side, which can be regarded as a coupled port network with terminals.

Let us introduce firstly the standard PSO proposed by Kennedy and Eberhart in 1995 [ 25].

Firstly, let us only consider the first two terms V and V(ω + 2π) in Eq. (30).

Firstly, let us present some notations and assumptions used throughout this article.

Firstly, let us prove a conclusion which will be used in the proof of Theorem 3.2.

Firstly, let us recall the definition of stochastic domination which will be used frequently in the paper.