different between frequency domain and time domain

Sure, here is the difference between frequency domain and time domain:

1. Time Domain: In the time domain, the signal or function's information is described in terms of changes over time. Time domain graphs show how a signal changes over time, where the time is 't' is on the horizontal axis and the amplitude is on the vertical axis. For example, if you were to graph a sound wave, you would see the sound wave's amplitude as it changes over time.

2. Frequency Domain: In the frequency domain, the signal or function's information is described in terms of the frequencies that make up the signal. Frequency domain graphs show how much of the signal lies within each given frequency band over a range of frequencies. A frequency domain representation can also include information on the phase shift that must be applied to each sinusoid in order to be able to recombine the frequency components to recover the original time signal.

A key difference between the two is that time domain graphs can show exactly when changes in the signal are happening, while frequency domain graphs show exactly how much of the signal lies within each given frequency band. The two domains are related to each other by the Fourier Transform, a mathematical formula that transforms a function of time, a signal, into a function of frequency.