Frequency Downconverter, upconverter, multiplier, divider, mixer, or frequency translator? What is an RF Mixer?

Frequency Downconverter, Frequency upconverter,  Frequency multiplier, Frequency divider, Frequency mixer, frequency translator, RF Mixer, RF circuits and systems, frequency translation, frequency content, signal, spectrum, basic mixer, baseband, intermediate frequency, IF, RF carrier frequency, analog to digital converse, ADCs, digital to analog converters, DACS, digitize, synthesize, intermediate frequency stages, useable frequency, local oscillator, LO, band-pass, low-pass, high-pass filter, harmonic multiple, Impedance, VSWR, Dynamic range, nonlinear response