Truncated second main theorem with moving targets

On the Second Main Theorem of Cartan

The possibility of reversion of the inequality in the Second Main Theorem of Cartan in the theory of holomorphic curves in projective space is discussed. A new version of this theorem is proved that becomes an asymptotic equality for a class of holomorphic curves defined by solutions of linear differential equations. 2010 MSC: 30D35, 32A22.

The Second Main Theorem of Hypersurfaces in the Projective Space

Moving Targets

In addition to its well-known role in regulating blood pressure and fluid balance, the renin-angiotensin-aldosterone system (RAAS) has continued to fascinate both researchers and clinicians because of the several additional functions that it has been proposed to carry out. Disruption of the production or action of angiotensin II (Ang II) during development, either by gene mutation or by pharmac...

PROTECTING MOVING TARGETS WITH MULTIPLE MOBILE RESOURCES Protecting Moving Targets with Multiple Mobile Resources

In recent years, Stackelberg Security Games have been successfully applied to solve resource allocation and scheduling problems in several security domains. However, previous work has mostly assumed that the targets are stationary relative to the defender and the attacker, leading to discrete game models with finite numbers of pure strategies. This paper in contrast focuses on protecting mobile...

The truncated pentagonal number theorem

A new expansion is given for partial sums of Euler’s pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).