A 2D-vector, or complex number, that denotes the magnitude and phase of a sinusoidal signal. A signal of magnitude A, with an angular frequency ω, and initial phase shift θ, is represented by the equation
and the corresponding phasor is , or alternatively takes the form x + jy where and . If given signals are all at the same frequency, but with differing amplitudes and phases, then vector addition of their phasors corresponds to timewise addition of their waveforms, and multiplication of a phasor by a scalar corresponds to the waveform being amplified or attenuated by the amount of that scalar.