Sentence examples for many negative terms from inspiring English sources

The sequence has finitely many negative terms.

(1) The sequence has finitely many negative terms.

that the sequence has infinitely many negative terms.

(1) The sequence has infinitely many negative terms.

(1) (2) Let the sequence have infinitely many negative terms.

The second relies on the fact that if (P beta )) has polar terms at (beta _0), since there are only finitely many negative index terms, one has that (lim _{|beta -beta _0| downarrow 0} ||P beta )|| = infty ) which is inconsistent with the fact that spectral projections for self-adjoint matrices are self-adjoint, so with norm 1.

They can have polar singularities at points in S, i.e. their Puiseux Laurent series can have finitely many negative index terms.

In the coming period, the French, committed by their president to an open-ended war in the Middle East, slowly absorbing the many negative, divisive longer-term consequences of his recent actions at home, and ultimately forgetful of last week's magnificent sense of unity, will most likely do for Hollande.

The prevalence of childhood obesity has increased worldwide, which is a serious concern as obesity is associated with many negative immediate and long-term health consequences.

He said the maps had "many negative consequences in Wisconsin in terms of policy".

"Into mid-2009, withethe global economy in recession and dollar commodity prices lower, Australia will experience its most significant negative terms of trade shock in many decades (albeit from a highly stimulatory position)," he added in a research note.