CALCULATOR
Complex Quotient Component, Positive Divisor Real Part Calculator
Complex Quotient Component, Positive Divisor Real Part. Component: 0=real, 1=imaginary: Real component, Imaginary component only. Example: A: 3 number, B: 2 number, Positive divisor real part: 1 number, D: 4 number, Component: 0=real, 1=imaginary: 0 number gives 0.647058823529 number. Divisor real component c≥0.1 guarantees nonzero; wider complex divisor domains deferred. Original useful product s
Divisor real component c≥0.1 guarantees nonzero; wider complex divisor domains deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Multiply numerator and denominator by conjugate of divisor.
Accepted inputs: A: -100 to 100 number; B: -100 to 100 number; Positive divisor real part: 0.1 to 100 number; D: -100 to 100 number; Component: 0=real, 1=imaginary: choose Real component (0), Imaginary component (1).
Complex Quotient Component, Positive Divisor Real Part
How the calculation works
z/w=((ac+bd)+(bc-ad)i)/(c²+d²)
Worked example
With a 3 number, b 2 number, positive divisor real part 1 number, d 4 number, component: 0=real, 1=imaginary Real component, complex quotient component, positive divisor real part is 0.6470588235 number.
Assumptions and limits
Divisor real component c≥0.1 guarantees nonzero; wider complex divisor domains deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Multiply numerator and denominator by conjugate of divisor.