As you know, we entered our discussion of derivatives to determine the size and direction of a step with which to move along a cost curve. We first used a derivative in a single variable function to ...

Abstract: In broadcast channels, network utility maximization formulates a scheduling problem in order to maximize a sum of given utility functions. It is known that the network utility maximization ...

This section provides the gradient derivation for the DPO objective. It also includes proofs for Lemma 1 and Lemma 2, which demonstrate that reward functions from the same equivalence class induce the ...

Abstract: The fast generation of optimal trajectories for long-range aircraft, while considering multiple path and terminal constraints, has remained a persistent challenge because of its purely ...

Center for Molecular Modeling, Ghent University, 9000 Gent, Belgium, and Department of Chemistry, McMaster University, Hamilton, ON L8S 4M1, Canada Article Views are the COUNTER-compliant sum of full ...

The Lagrange multiplier method is an effective method for finding the extreme values of functions, which can solve some complex mathematical and engineering problems. The introduction of this method ...