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 ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2024. Analytic combinatorics in several variables estimates coefficients ...

State-space models (SSMs) are crucial in deep learning for sequence modeling. They represent systems where the output depends on both current and past inputs. SSMs are widely applied in signal ...

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The impedance of power lines is influenced by geological conditions and skin effect, resulting in frequency-dependent characteristics. In this study, a centralized parameter frequency-dependent line ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: This paper presents a control-based trajectory generation approach for unmanned aerial vehicles (UAVs) under dynamic constraints. It exploits the concept of optimal control to find ...