Scientific Research Publishing

Yabushita, K., Yamashita, M. and Tsuboi, K. (2007) An Analytic Solution of Projectile Motion with the Quadratic Resistance Law Using the Homotopy Analysis Method. Journal of ...

ABSTRACT: This study investigates projectile motion under quadratic air drag, focusing on mass-dependent dynamics using the Runge-Kutta (RK4) method implemented in FreeMat. Quadratic drag, predominant ...
IEEE

Dual Arm Steering of Flexible Linear Objects in 2-D and 3-D Environments Using Euler's Elastica Solutions

Abstract: This paper describes a method for steering flexible linear objects using two robot hands in environments populated by sparsely spaced obstacles. The approach involves manipulating an elastic ...
IEEE

Non-Intermittent Sampled-Data Consensus of Networked Euler-Lagrange Systems Using Dynamic Scaling Without Neighbors’ Velocity Measurement

Abstract: This paper proposes a non-intermittent control scheme for the consensus of multiple Euler-Lagrange systems under sampled-data communication without using neighbors’ velocities. In the ...
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How Euler connected pi, square roots, and one half using factorials

This video explores how Euler connected pi, square roots, and one half using factorials, revealing the deep relationships behind seemingly unrelated mathematical constants. Through clear explanations ...