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The 11 pages that link to Imaginary unit, each with the reason it gives.

• Complex numberBroader topic: Multiplying the real coefficient b by i creates the imaginary part.

• Complex planeRelated: It defines the imaginary coordinate used to locate points off the real axis.

• Characteristic functionRelated: It makes the exponential in the defining formula oscillate rather than grow.

• Euler's formulaRelated: Its powers cycle between real and imaginary values in the exponential series.

• Complex exponentialRelated: Powers of i cycle through four values, underlying the series' circular behavior.

• Complex conjugateBroader topic: The sign reversal in conjugation changes the coefficient of i.

• Complex multiplicationRelated: Its defining square determines the sign of the real term when products are expanded.

• Euler's identityRelated: Its presence in the exponent makes a real exponential constant produce a real result.

• De Moivre's formulaBroader topic: The formula's trigonometric form uses \(i\) to encode the imaginary component.

• Complex conjugate root theoremRelated: Its sign changes under conjugation, turning a + bi into a − bi.

• Imaginary numberBroader topic: Multiplying i by a real number produces an imaginary number.