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The 11 pages that link to Complex conjugate, each with the reason it gives.

• Complex numberRelated: Conjugation pairs a + bi with a − bi and helps simplify division.

• Complex planeRelated: Conjugate numbers appear as reflections across the horizontal axis.

• Complex exponentialRelated: Conjugation commutes with the exponential: exp(conjugate z)=conjugate exp(z).

• PhasorRelated: Conjugate phasors help represent real sinusoids and calculate average power.

• Complex multiplicationRelated: Conjugation interacts with multiplication by conjugating each factor and their product.

• Imaginary unitRelated: Conjugation changes i to −i while preserving the real part.

• Complex modulusRelated: Multiplying a number by its conjugate gives the square of its modulus.

• Parseval's theoremRelated: Complex Fourier coefficients use squared magnitudes, formed by multiplying by the conjugate.

• De Moivre's formulaCompared with: Conjugation changes the angle's sign, complementing the angle multiplication described by the formula.

• Imaginary numberRelated: Conjugation reverses an imaginary number across the real axis.

• Brahmagupta–Fibonacci identityRelated: Multiplying a complex number by its conjugate produces the sum of its squared coordinates.