'Remnant' in the Bible

I'll leave a remnant among you those who will escape the sword when I'll have scattered you throughout the earth.

But look! There will be a remnant who escapes, a few sons and daughters to be brought out. Look! They'll come out to you and you'll see how they've lived and what they've done, and you'll be comforted concerning the catastrophe that I brought on Jerusalem, including everything that I brought against her.