Sentence examples for we firstly assume from inspiring English sources

We firstly assume ψ > 0 in the following analysis and other situations are discussed later.

To exhibit the video with the invisible AR tag via 120-Hz monitor, we firstly assume that A and B be the same frame I per second.

We firstly assume (0 < bar{z}_{1} < bar{z}_{2}

For a simple analysis, we firstly assume that the number of subcarriers N s and the number of segments M are very large, and the noise term is omitted.

We firstly assume that consumer i's expenditure function is expressed in a linear form: eleft(mathbf{p},mathbf{x},j,delta, zeta right)=mathbf{p}cdot mathbf{x}+sum limits_1^ncleft({delta}_jright)+sum limits_1^n{zeta}_j.

Proposition 2.5 If ψ is a concave increasing function or a convex decreasing function, then we have nonnegativity of the Tsallis quasilinear relative entropy: D q ψ ( p 1, p 2, …, p n ∥ r 1, r 2, …, r n ) ≥ 0. Proof We firstly assume that ψ is a concave increasing function.

Firstly assume that we are given a flow of size f∗ and cost at most k.

Firstly, assume that (e) holds.

Firstly, assume this has already been proved.

Firstly, assume that k is odd.

Firstly, assume that HM maps to the fundus of the curved model surface.