he is up to the hilt in debt.
他发现自己债台高筑。
and it is proved up to the hilt mathematically. comparison and analysis are made for the applications and characteristics of the two theorems, thus perfecting the superposition theorem theoretically.
同时对二种方式的迭加定理的适用范围和特性进行了比较和分析,使得迭加定理在理论上更加完善。
he mortgaged himself up to the hilt and sold his collection of vintage cars to raise the cash for the new company.
他把自己押在了这个风险的投资上,并为了为新公司筹集现款卖掉了自己收集的古典车。