Mathematicians are familiar with this; common problems in algebra are more tractable when considered over the complex numbers than over the reals, even though complex arithmetic is more difficult.

数学家对此很熟悉；如果将代数中的常见问题考虑成复数而不是实数时，那么这些问题就更容易处理，尽管复数算法较难。

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Their story, though not as spectacular to the eye, will surely turn out to be as subtle and as complex.

他们的故事虽然看起来不那么壮观，但肯定会变得同样微妙和复杂。

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Though the complex is adjoined to Louisville International Airport and shares its two runways, its size overshadows the passenger terminal.

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The issue of change though is more complex than the iPad replacing the PC or of emerging market preferences for smartphones, two explanations offered for declining PC shipments.

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Today though a more complex legal issue resurfaced for JPMorgan.

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