How this calculator works
The engine applies standard complex arithmetic identities to (a+bi) and (c+di), then derives magnitude and argument from the resulting real and imaginary components.
Formula
(a+bi) ⊕ (c+di)Applies deterministic complex addition, subtraction, multiplication or division and reports rectangular and polar properties.
Worked example
(1+2i)+(3+4i) is a verified test case used by the calculation engine.
Assumptions and limitations
- Inputs are finite real components.
- Division by 0+0i is not allowed.
Methodology & sources
This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.
- CalcuMint deterministic complex-arithmetic engine — Standard complex-number arithmetic identities.
Frequently asked questions
Which operations are supported?
Addition, subtraction, multiplication and division.
Does it show polar information?
Yes. The result includes magnitude and argument in radians.