We propose a mutual learning method using nonlinear perceptron within the framework of online learning and have analyzed its validity using computer simulations. Mutual learning involving three or more students is fundamentally different from the two-student case with regard to variety when selecting a student to act as the teacher. The proposed method consists of two learning steps: first, multiple students learn independently from a teacher, and second, the students learn from others through mutual learning. Results showed that the mean squared error could be improved even if the teacher had not taken part in the mutual learning.
We work with a theory based on a hypothetical torque corresponding to the revolution gyroscope-effect, an effect ultimately caused by axial precession Φ. Applying this theory to an Earth-scale top, the reversal time from θ ≅ 180° to θ ≅ 0° can be estimated to be roughly 6 x 109 years. The reversal time from θ ≅ 180° to θ = 23.45° , meanwhile, can be estimated to be 4.6 x 109 years. This hypothetical torque can be validated by satellite experiments.
When a top revolves (Ω) in a circular orbit under universal gravitation in the direction opposite to the top spin (ω) (ω > Ω), there is a chance that the spin axis will reverse from 0 = 180° to 0 = 0° and align with the vertical axis of revolution. In this paper we speculate that another external torque originates in the gyroscopic effect by revolution, an effect ultimately caused by axial precession φ. We propose a satellite experiment to test the validity of this theory.
When a gimbal-mounted gyroscope revolves (Ω) on a circular path or on the center of a turntable in the direction opposite to the gyroscope spin (ω) (ω > Ω), the symmetry axis reverses from θ = 180° to θ = 0° and aligns with the vertical axis of revolution. This paper corrects the classic statement on this problem and proposes that the external torque originates in the gyroscopic effect by revolution, an effect ultimately caused by friction.
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