Sentence examples for we have denoted from inspiring English sources

We have denoted this error by err.

where we have denoted as the solution of the model.

where we have denoted C 0 = e d h d ( 1 − ρ 0 ).

end{aligned}Here we have denoted by (B_epsilon ) the balls related to the (d_epsilon ) distance function.

where by we have denoted the Riemannian measure on the manifold.

We have denoted by (y_{t}) the observation at time (t, t=1,..., n).

where we have denote for presentation purposes.

Thus, we set (F=E_1) and we have, denoting by r the radius of the ball with the same measure of F, begin{aligned} P(F -P(B_r){le } P(E)-P(B)+P(B)-P(B_r){le } P(E)-P(B)+nomega _n(1-r^{n-1}).

It may have denoted the floating of the body down the river into the canebrakes.

He was apologetic, noting that the white plume would have denoted an infantryman.

The researchers believe that the tattoos would have denoted status, bravery and magical knowledge.