Square Root of X² − 1
The article explores the mathematical function sqrt(x² − 1), discussing its domain, properties, and relationship to hyperbolic functions like cosh and sinh.
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The article explores the complexity of defining √(z² − 1). While for non-negative real numbers x, √x is simply the non-negative square root, the definition becomes more subtle when considering complex numbers and how to choose a principal branch for expressions like √(z² − 1).