Sentence examples for increasing otherwise from inspiring English sources

In the trivial case of uniqueness, (T_{omega}colon mathbb {R}to mathbb {R}) must be strictly increasing (otherwise, we get a contradiction) by which no purely subharmonic (i.e. those with (n>1)) nω-periodic solutions can exist.

The modulus of the frequency response (21) is given by bigllvert G omega bigrrvert =sqrt{frac{varepsilon^{2}+kappa^{2} (frac{piomega}{1000} )^{2}}{varepsilon^{2}+ (frac{pi omega}{1000} )^{2}}}, (23) and (lvert Grvert) therefore is strictly decreasing if and only if (lvertkapparvertleq1), and increasing otherwise.

The modulus of the frequency response (11) is given by bigllvert F omega) bigrrvert =sqrt{frac{varepsilon^{2}+2kappa (kappa-varepsilon ) (1-cos (frac{omegapi }{1000} ) )}{varepsilon^{2}+2 (1-varepsilon ) (1-cos (frac{omegapi}{1000} ) )}}, (14) and it follows that (lvert Frvert) is strictly decreasing if and only if (kappain -1+varepsilon,1)), and increasing otherwise (Fig. 3).

Furthermore, Fc glycans that affect Fc effector functions may impact on safety either by increasing otherwise low cell killing potential or through secondary effects such as cytokine release triggered by the activation of effector cells (Baldo 2013).

A critical decision the organization faces is whether, and how, to add new entrepreneurial services to increase otherwise flat revenues.

The Rohingyas are not permitted to marry in Myanmar because the authorities fear the Muslim ethnic group's population would increase otherwise.

If a leader shows a strong ability to lead the swarm toward better positions, its lifespan is increased, otherwise the leader gets aged quickly and when its lifespan is exhausted, a new particle emerges to challenge and claim the leadership.

Pharaoh's oppression of Israelites is grounded in an attitude that might sound eerily familiar: "The Israelite people are too numerous for us," he tells his subjects, "let us deal shrewdly with them, so that they may not increase, otherwise in the event of war they may join our enemies in fighting against us". Pharaoh was skilled at governing through fear.

In case no improvement is found d is increased, otherwise it is set to some default value.

In this case (p_{{mathrm{SNIC}}}) decreases for (v_{1}< v_{1}^) and increases otherwise.

If SU accesses this channel, the probability of collision (interference) will increase; otherwise, SU's channel utilization will decrease.