复杂的英文：
complicated
complex

参考例句：

The famous mathematician is brainiac who would rather work on solving complex mathematical problems than sleep at night.
这位著名数学家十分聪明和勤奋，宁愿晚上不睡觉，也要解开复杂的数学难题。

A complicated diagram
复杂的图表.

This dance step is quite complicated.
这个舞步挺复杂的。

disentangle a complicated knot
解开复杂的结扣

The involute progression of hallucination is strange.
幻觉的复杂的发展过程很奇特。

...complex vocal harmonies.
复杂的声乐和声

What a complicated triangle!
好复杂的三角关系呐！

His style of choreography is flamboyant.
他的舞蹈设计风格是复杂夸张的。

It is clear that obesity is a fantastically complicated condition.
十分清楚的是，肥胖是一种极为复杂的病症。

The fertilization of angiosperms is a complicated and ingenious process.
植物的受精是一个复杂而精巧的过程。

complicated是什么意思：
adj. 结构复杂的

The sceptic knows that life is complicated.
怀疑论者却深知人生是如此错综复杂、扑朔迷离。

Involved or intricate, as in structure; complicated.
复杂的在结构中牵扯较多的或错综复杂的；复杂的

There is no need to complicate matters.
没有必要使问题复杂化。

What a complicated queue!
好复杂的一张表啊！

This dance step is quite complicated.
这个舞步挺复杂的。

complex是什么意思：
adj. 复杂的，难懂的，费解的；复合的，合成的； 复合的
n. 复合物，综合体；集团；综合设施；心结，情结； 复句

It was a complex problem.
这是一个复杂的问题。

an inferiority complex
自卑情结.

The more complex the civilisation, the more complex are its systems.
社会的文明程度越高，它的这些体系就越复杂。

A petrochemical complex is to be built here.
这儿将建造一个石油化学联合企业。

She has a complex about rats.
她对老鼠有病态恐惧。