From an AP story by Isabel Debre headlined “What to know as war between Israel and Hamas militants rages on for a fourth day”:

Israel’s military said Tuesday that it had regained effective control over its south and the border with the Gaza Strip four days after Hamas fighters stormed into the country and brought gunbattles to its streets for the first time in decades.

The declaration came as the Israeli Defense Forces sought to make good on the government’s vow to hunt down the militants and to intensify an assault on densely populated Gaza, the Palestinian territory ruled by Hamas and home to 2 million people.