Sentence examples for lower weaker from inspiring English sources

She said that she found great variation in their reasoning, but that there was a common thread: most of them felt humiliated and spoke of being pigeonholed into a lower, weaker caste by some other group.

Here, '(< ^{mathrm{lw}})' is named a lower weak relation.

Let x̄ be a strict lower weak minimum of (SP).

In the set optimization criterion, utilizing the known results, we have proved two necessary optimality conditions for a strict lower weak minimum and a lower weak minimum.

Let (F bar{x})) be a lower weak minimal of (SP).

Then x̄ is called a strict lower weak minimum of (SP).

We say that (F bar{x})) is a lower weak minimal of (SP) instead of (mathcal{F}).

This means under equal bandwidth expansion (or code rate), the tent map system will always have a lower weak distortion.

end{cases} By computing, we can derive that ((1, F(1))) is the lower minimizer of (SP 0 and ((x,F x))) with (0< x leq1) is the lower weak minimizer of (SP 0.

Then (F bar {x})) is a lower weak minimal of (SP) if and only if for each (xin S) one of the conditions below is fulfilled: (1) (F x in[F bar{x})]^{mathrm{lw}}).

(F bar{x})) is named strict lower weak minimal of (SP), if there exists a neighborhood (U bar{x})) of x̄ such that (F x nless^{mathrm{lw}} F bar{x})), for all (xin U bar{x} cap S).