Your English writing platform
Discover LudwigSuggestions(1)
Exact(6)
We shall first study the bilateral competition between two lots (§ 5.1) and then the multilateral competition between all lots (§ 5.2).
Let us consider three moments t 1 < t 2 = t i max < t 3 such that (illustrated in Fig. 11): At t 1 and until t 2, x i − is defined through bilateral competition between lot i and j 1 and x i + is defined through bilateral competition between lot i and k 1.
Open image in new window Fig. 3 Bilateral competition between saturated lot i and unsaturated lot j: as preferred arrival time increases, ( {widehat{x}}_{ij}left tilde{t}right) ) moves towards the saturated option, reducing its efficiency domain.
At t 3, by assumption, the width function has become positive again (second efficiency region): x i − stems from bilateral competition between lots i and j 2 whereas x i + comes from bilateral competition between lots i and k 2. This can be expressed as: ( {x}_i^left {t}_3right)={widehat{x}}_{i{j}_2}left {t}_3right)<{widehat{x}}_{i{k}_2}left {t}_3right)={x}_i^left {t}_3right) ).
Let us denote the efficiency regions of the lot i that result from the bilateral competition between options i and j such as j < i as E ij − and the efficiency regions of the lot i in its competition with lots j such as j > i as E ij +.
In particular the frontier between lot 1 and lot 2 is made up of two segments (out of three present in the entire frontier resulting from bilateral competition between these options): a vertical segment where ( {widehat{x}}_{12}^0 ) is a constant and a tilted segment where ( d{widehat{x}}_{12}/dtilde{t}=wgamma /left(2beta -gamma right)=0.8mathrm{km}/mathrm{h} ).
Similar(54)
Therefore, at P lot i must be saturated and further evolution of the bilateral competition frontier ( {widehat{x}}_{i{j}_1}left tilde{t}right) ) is strictly monotonously increasing (bilateral competition of type shown in Fig. 4b).
Representative cricket teams were selected to tour each other, resulting in bilateral competition.
Extensive bilateral reorganisation of the corticospinal system, driven by activity dependent competition between the lesioned and non-lesioned corticospinal systems, has already been described after unilateral perinatal stroke (Eyre et al., 2007; O'Sullivan et al., 1998).
Perceptually complex words (e.g., claim) have onset-embedded lexical competitors (e.g., clay) that trigger competition between multiple simultaneously active lexical candidates and increase load on the bilateral perceptual system (Bozic et al. 2010).
The competition between "G.M.A".
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com