Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the ...

Understanding which function's graph is presented requires a systematic approach, combining visual analysis with fundamental knowledge of various function types and their characteristics. The process ...

Abstract: Over an algebraically closed field of positive characteristic, there exist rational functions with extreme ramification: only one critical point. We give an elementary characterization of ...

Abstract: Iterative learning control (ILC) approaches often exhibit poor extrapolation properties with respect to exogenous signals, such as setpoint variations. This brief introduces rational basis ...

The assumption in the main result of Basic differential forms for actions of Lie groups (Proc. Amer. Math. Soc. 124 (1996), 1633-1642) is removed. Journal Information This monthly journal, begun in ...