sqrtmi2

sqrtmi2 is not a standard mathematical notation. It may appear as a variable name or as an identifier for a function in some programming or computational contexts. Because it is not universally defined, its precise meaning depends on the source.

Two common interpretations exist: sqrt((m i)^2) and sqrt(m i^2). The first simplifies to |m i| = |m| |i| for real m and i. The second equals sqrt(m) |i| when m is nonnegative; if m is negative the expression is not real.

When expressed as sqrt((m i)^2), sqrtmi2 behaves like the magnitude of the product m i, independent of the sign of i. When expressed as sqrt(m i^2), it represents the magnitude of i scaled by sqrt(m), again under the assumption of real quantities.

In programming, sqrtmi2 may be used as a variable or function name, in which case its value is defined by the surrounding code. Users should rely on explicit parentheses to avoid ambiguity.

Examples: If sqrtmi2 denotes sqrt((m i)^2) and m=3, i=-4, then sqrtmi2 = 12. If it denotes sqrt(m i^2) with m=9, i=-2, then sqrtmi2 = 6.

As with any nonstandard notation, consult the specific source or library documentation to determine the intended meaning of sqrtmi2.