The main objective of this article is to optimize the walking pattern of a 2D humanoid robot with heel-off and toe-off motions in order to minimize the energy consumption and maximize the stability margin. To this end, at first, a gait planning method is introduced based on the ankle and hip joint position trajectories. Then, using these trajectories and the inverse kinematics, the position tra...

Let s(n) be the sum of those positive divisors of the natural number n other than n itself. A conjecture of Catalan–Dickson is that the “aliquot” sequence of iterating s starting at any n terminates at 0 or enters a cycle. There is a “counter” conjecture of Guy–Selfridge that while Catalan–Dickson may be correct for most odd numbers n, for most even seeds, the aliquot sequence is unbounded. Len...

In Mahabharata, Karna’s Wife, Uruvi is nowhere mentioned or familiarized as a mainstream character. Kavita Kane attempts to portray Uruvi’s perspective by telling her side of the story through thoughts, actions and conversations. Uruvi, fictional character created Kane, bring centre from margins giving feminine voice. She depicted strong independent Kshatriya Princess who in love with an Outcas...

The boundary conditions for a multicomponent effective wave function are obtained in the eight-band Kane model. The relations are established between boundary-condition matrix elements and the Kane Hamiltonian parameters in constitutive semiconductors. In general, these relations are incompatible with component-bycomponent continuity of the effective wave function, traditionally employed in mul...

This publication and its companion paper and video are copyrighted: J. Mostow, S. Roth, A. Hauptmann, M. Kane, A. Swift, L. Chase, and B. Weide. (August 1994). A reading coach that listens: (edited) video transcript. Proceedings of the Twelfth National Conference on Artificial Intelligence (AAAI94). Seattle, WA. J. Mostow, S. Roth, A. G. Hauptmann, and M. Kane. (August 1994). A Prototype Readin...