I mean explain the topic

A wave is a disturbance that transfers energy through a medium or space without transferring matter. Waves are categorized as transverse (oscillations perpendicular to propagation, like light) or longitudinal (oscillations parallel, like sound). Key properties include wavelength ($\lambda$), the distance between successive identical points; frequency ($f$), the number of cycles per second; period ($T$), the time for one cycle ($T = 1/f$); and amplitude, the wave's maximum displacement from equilibrium. The speed of a wave ($v$) is fundamentally related by the equation $v = f \lambda$.