'Remembered' in the Bible

So God heard their groaning and God remembered His covenant with Abraham, Isaac, and Jacob (Israel).

Then God also said to Moses, “This is what you shall say to the Israelites, ‘The Lord, the God of your fathers, the God of Abraham, the God of Isaac, and the God of Jacob (Israel), has sent me to you.’ This is My Name forever, and this is My memorial [name] to all generations.

And I have also heard the groaning of the sons of Israel, whom the Egyptians have enslaved, and I have [faithfully] remembered My covenant [with Abraham, Isaac, and Jacob].

You shall make an altar of earth for Me, and sacrifice on it your burnt offerings and your peace offerings, your sheep and your oxen. In every place where I cause My Name to be recorded and remembered [through revelation of My divine nature] I will come to you and bless you.