Sentence examples for is left increasing from inspiring English sources

In other words, the interval function (G:overline{I}rightarrowmathbb {R} ) is left increasing.

If G or −G is left increasing, then we say that the interval function (G:overline{I}rightarrowmathbb{R} ) is left monotonous.

If a_{j}>b_{j} quadRightarrowquadfrac{partial{G [ {mathbf{a},mathbf {b}} ] }}{partial{b_{j}}}< 0,quad j= 1, ldots,n, (17) then the interval function (G:overline{I}rightarrowmathbb{R} ) is left increasing.

(II) If (phi^{{primeprimeprime}} ( x ) leqslant 0), (forall xin J), and (varphi^{{primeprime}} ( t ) leqslant 0), (forall tin I), then the interval function (operatorname{JVar}_{phi}varphi ( {{X _{ [ {a,b} ] }}} ) ) (([ {a,b} ]inoverline{I} )) is left increasing.  .

(II) If a_{j}>b_{j} quadRightarrowquadfrac{partial{G [ {mathbf{a},mathbf {b}} ] }}{partial{b_{j}}}< 0,quad j= 1, ldots,n, (17) then the interval function (G:overline{I}rightarrowmathbb{R} ) is left increasing.  .

If [ {mathbf{a},mathbf{b}} ] subset [ {mathbf{a}-varDelta mathbf{a},mathbf{b}} ] subseteq IquadRightarrowquad G [ {mathbf{a},mathbf{b}} ] < G [ { mathbf{a}-varDelta mathbf{a},mathbf{b}} ], (13) then we say that the interval function (G:overline{I}rightarrow mathbb{R} ) is left increasing.

A record number of evictions is leaving increasing numbers at the mercy of local authorities.

This is leaving increasing numbers of children without even the basic protection thus increasing the risks of abuse and mistreatment.

Much of this private money goes on heritage conservation, and what is left cannot be increased overnight to make good cuts of about 30%.

Ultimately, society is left with a dramatically increasing number of women who are both the single parent and the primary breadwinner with relatively low wages.

The rate at which the level of difficulty is increased is left to the discretion of the teachers who may choose to accelerate children as required.