If a function is complex-differentiable on an open set, it must satisfy the Cauchy-Riemann equations there.

Many historians now view those extravagant monuments as political statements rather than pure art, attributing them to edifice complexes.

The mayor's latest skyscraper plan was driven more by an edifice complex than by concern for the citizens' needs.

Many cities are expanding their industrial complexes to attract high-tech manufacturers.

Her guilt complexes led her to apologize even when she wasn't at fault.

The researcher synthesized several complex compounds to test their catalytic properties.

To simplify a complex fraction, first rewrite the numerator and denominator as single fractions, then divide the two results.

His managers feared confronting him because his God complexes made every criticism feel like an attack on his character.

The complex function f(z) = e^z exhibits interesting periodicity properties.

To integrate a bounded measurable function with respect to a complex measure, we treat the measure as a pair of finite signed measures corresponding to its real and imaginary parts.