A capital letter is used to begin a sentence or the name of a person or place.

在句子、人名或地名的开头，要用大写字母。

youdao

Then the next sentence starts with a capital letter of the first word of the sentence.

下一个句子开头的第一个单词的第一个字母要大写。

youdao

The sentence, Beijing is the capital of China is a proposition.

‘北京是中国的首都’，这个句子就是一个命题。

《新英汉大辞典》

In 2006, the central government seized oversight of death sentences from provincial courts, restoring it to the Supreme People's Court after a 23-year hiatus, amid what state media suggested was a rash of errors in judicial judgments and excessive use of the capital sentence.

WSJ: China Rejects Millionaire's Death Sentence

The capital murder and terrorism charges carry the death penalty as a possible sentence.

CNN: Muhammad attorneys, prosecutors argue over sniper's life

The BBC's Ebow Godwin in the capital, Lome, says Kpatcha Gnassingbe did not seem worried by the sentence.

BBC: Faure Gnassingbe taking the oath of office in 2010