On the faith of 和 Remedy agai

on the faith of-----
On the faith of the Jury, the Judge has a reasonable trust in the murderer's case.

We vote on the faith of the HK Government's true promises.

Remedy against:-
Against something (law) a way of dealing with a problem, using the processes of the law.

There is no simple remedy against Filipino unemployment.

There are many possible remedy against this sex-assualt problem.(=you can treat her with a compromise solution on money.)

Holding your copyright provides the only legal remedy against unauthorized copying.(eg:-handbag;garment;Eng.Books copyrights.)

2015-07-02 12:44:02 補充：
On the faith of her complete confidence, I am sure she'll do what a FILIPINO should do.
(faith=firm belief, trust, complete confidence)
The law provides a remedy against this injustice and put it right.

(1)
On the faith of
= 基於...(原因)
或
= 在...保證下

請看看
http://www.ichacha.net/on%20the%20faith%20of.html

2015-07-01 15:02:34 補充：
(2)
remedy 本身是指一些 補救的方法。

remedy against xxx 就是指 對於解決（或針對）xxx問題的補救方法。

請看看
http://www.oxfordlearnersdictionaries.com/definition/english/remedy_1

http://www.thefreedictionary.com/remedy