Sentence examples for then we omitted from inspiring English sources

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Then, we omitted one study at a time to see whether the magnitude, statistical significance, or heterogeneity had substantially changed.

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By Lemma 2.3, if Λ = M, then we omit the isolated condition.

end{array} (5.10 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), then we omit the last set of relations.

end{aligned} end{aligned} (5.45 If (L = infty ), respectively (M= infty ), then we omit the relation where it appears as exponent.

end{aligned} end{aligned} (5.44 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), respectively (L = infty ), (M= infty ), then we omit the relation where it appears as exponent.

If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), then we omit the relations (x_alpha ^{N_alpha }=0,) (alpha in {mathcal {O}}_+^{mathfrak {q}}).

end{aligned}If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), respectively (L = infty ), (M= infty ), then we omit the relation where it appears as exponent.

end{array} end{aligned} (5.17 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), then we omit the last set of relations.

end{aligned} end{aligned} (7.3 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), then we omit the relations (x_alpha ^{N}=0), (x_alpha ^{M}=0).

({mathcal {B}}_{mathfrak {q}}) is generated by ((x_i)_{iin mathbb {I}}) with relations begin{aligned} x_{ij} = 0, quad widetilde{q}_{ij}=1; quad x_{iij} = 0, quad widetilde{q}_{ij}ne 1 quad x_{alpha }^N =0, quad alpha in varDelta _. end{aligned} (4.33 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), then we omit the last set of relations.

The Nichols algebra ({mathcal {B}}_{mathfrak {q}}) is generated by ((x_i)_{iin mathbb {I}}) with defining relations begin{aligned} x_{ij}&= 0, quad i < j - 1 &x_{iij}&= 0, quad vert j - ivert = 1 &x_{ kl)}^N&=0, quad kle l. end{aligned} (4.5 If (N = infty ), i.e. (qnotin mathbb {G}_{infty }), <span class="lh">then we omit the last set of relations.

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