Source-pinned research
Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.
This index contains 14 research declarations. Search 10,000 more complete Mathlib declarations.
14 results
Clear filtersClassicalMechanics.HarmonicOscillator.InitialConditions.trajectory_velocity_eq_zero_iff_norm_eq_amplitude
Plain-language statement
The velocity vanishes exactly when the trajectory has norm equal to the amplitude.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.HarmonicOscillator.return_time
Plain-language statement
Assuming that the initial coordinate and velocity are not simultaneously zero, the time stamps when the harmonic oscillator returns to its initial coordinate and velocity is a multiple of its period
Source project: Physlib
Person-level attribution pending.